- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: SvVpykic8D5FVM2lMgkJ_0, bodu=12, $$(8 \cdot \frac{10 + 8}{9})^2=\textcolor{white}{256}$$return {
["body"] = 12,
["id"] = "qbQcU4_1120_0530",
["obtiznost"] = 0.1028,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 256,
["jmenovatel"] = 1 },
["render"] = "\\frac{256}{1}",
["typ"] = "cislo" },
["tex"] = "256",
["tex_float"] = "256",
["x"] = 256 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10 + 8}{9}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{10 + 8}{9}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(8 \\cdot \\frac{10 + 8}{9})^2",
["typ"] = "mocnina" } }
seed: SvVpykic8D5FVM2lMgkJ_0.01, bodu=11, $$\frac{8}{(\frac{4}{-10})^3}=\textcolor{white}{-125}$$return {
["body"] = 11,
["id"] = "m4A00S_1120_0530",
["obtiznost"] = 0.0632,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -125,
["jmenovatel"] = 1 },
["render"] = "\\frac{1000}{-8}",
["typ"] = "cislo" },
["tex"] = "-125",
["x"] = -125 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{4}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{4}{-10})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{8}{(\\frac{4}{-10})^3}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.02, bodu=5, $$6 - 6 - (-8 - (-9))^3=\textcolor{white}{-1}$$return {
["body"] = 5,
["id"] = "cudSY2_1120_0530",
["obtiznost"] = 0.0208,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1}{1}",
["typ"] = "cislo" },
["tex"] = "-1",
["x"] = -1 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 - 6",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-8 - (-9)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-8 - (-9))^3",
["typ"] = "mocnina" },
["render"] = "6 - 6 - (-8 - (-9))^3",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.03, bodu=29, $$(10 + 8)^2 - (4 - 4\frac{4}{6})=\textcolor{white}{324\frac{2}{3}}$$return {
["body"] = 29,
["id"] = "Vi0eYI_1120_0530",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = 324.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 974,
["jmenovatel"] = 3 },
["render"] = "\\frac{974}{3}",
["typ"] = "cislo" },
["tex"] = "324\\frac{2}{3}",
["x"] = 324,
["y"] = 2,
["z"] = 3 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.03",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "4 - 4\\frac{4}{6}",
["typ"] = "minus" },
["render"] = "(4 - 4\\frac{4}{6})",
["typ"] = "zavorka" },
["render"] = "(10 + 8)^2 - (4 - 4\\frac{4}{6})",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.04, bodu=10, $$\frac{6 \cdot 5}{3}=\textcolor{white}{10}$$return {
["body"] = 10,
["id"] = "S3BZOX_1120_0530",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "\\frac{30}{3}",
["typ"] = "cislo" },
["tex"] = "10",
["tex_float"] = "10",
["x"] = 10 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{6 \\cdot 5}{3}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.05, bodu=5, $$11 \cdot 8 \cdot (5 + (-9))=\textcolor{white}{-352}$$return {
["body"] = 5,
["id"] = "hozrmM_1120_0530",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -352,
["jmenovatel"] = 1 },
["render"] = "\\frac{-352}{1}",
["typ"] = "cislo" },
["tex"] = "-352",
["tex_float"] = "-352",
["x"] = -352 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "5 + (-9)",
["typ"] = "plus" },
["render"] = "(5 + (-9))",
["typ"] = "zavorka" },
["render"] = "11 \\cdot 8 \\cdot (5 + (-9))",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.06, bodu=11, $$\frac{6}{11} \cdot 6=\textcolor{white}{3\frac{3}{11}}$$return {
["body"] = 11,
["id"] = "0I5Q5j_1120_0530",
["obtiznost"] = 0.06,
["reseni"] = {
["float"] = 3.2727272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "\\frac{36}{11}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3}{11}",
["x"] = 3,
["y"] = 3,
["z"] = 11 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.06",
["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"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{6}{11} \\cdot 6",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.07, bodu=5, $$6 + 6 - 11 \cdot 10=\textcolor{white}{-98}$$return {
["body"] = 5,
["id"] = "ZUXskw_1120_0530",
["obtiznost"] = 0.07,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -98,
["jmenovatel"] = 1 },
["render"] = "\\frac{-98}{1}",
["typ"] = "cislo" },
["tex"] = "-98",
["tex_float"] = "-98",
["x"] = -98 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.07",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 + 6",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 \\cdot 10",
["typ"] = "krat" },
["render"] = "6 + 6 - 11 \\cdot 10",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.08, bodu=23, $$3\frac{3}{6} \cdot (5 + \frac{8}{9})=\textcolor{white}{20\frac{11}{18}}$$return {
["body"] = 23,
["id"] = "yKkAEp_1120_0530",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = 20.611111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 371,
["jmenovatel"] = 18 },
["render"] = "\\frac{371}{18}",
["typ"] = "cislo" },
["tex"] = "20\\frac{11}{18}",
["x"] = 20,
["y"] = 11,
["z"] = 18 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["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"] = "5 + \\frac{8}{9}",
["typ"] = "plus" },
["render"] = "(5 + \\frac{8}{9})",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{6} \\cdot (5 + \\frac{8}{9})",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.09, bodu=31, $$1\frac{2}{5} \cdot (9 - (-3) + 3)^2=\textcolor{white}{315}$$return {
["body"] = 31,
["id"] = "ESOzCy_1120_0530",
["obtiznost"] = 0.3804,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 315,
["jmenovatel"] = 1 },
["render"] = "\\frac{1575}{5}",
["typ"] = "cislo" },
["tex"] = "315",
["tex_float"] = "315",
["x"] = 315 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "9 - (-3)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "9 - (-3) + 3",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 - (-3) + 3)^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{2}{5} \\cdot (9 - (-3) + 3)^2",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.1, bodu=55, $$1\frac{1}{4} - (3 \cdot 7 - (-8))^2=\textcolor{white}{-839{,}75}$$return {
["body"] = 55,
["id"] = "6jkaLP_1120_0530",
["obtiznost"] = 0.6368,
["reseni"] = {
["float"] = -839.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3359,
["jmenovatel"] = 4 },
["render"] = "\\frac{-3359}{4}",
["typ"] = "cislo" },
["tex"] = "-839\\frac{3}{4}",
["tex_float"] = "-839{,}75",
["x"] = -839,
["y"] = 3,
["z"] = 4 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "3 \\cdot 7 - (-8)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3 \\cdot 7 - (-8))^2",
["typ"] = "mocnina" },
["render"] = "1\\frac{1}{4} - (3 \\cdot 7 - (-8))^2",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.11, bodu=25, $$3\frac{1}{4} + (8 + 8) \cdot 6=\textcolor{white}{99{,}25}$$return {
["body"] = 25,
["id"] = "fwAfYT_1120_0530",
["obtiznost"] = 0.31,
["reseni"] = {
["float"] = 99.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 397,
["jmenovatel"] = 4 },
["render"] = "\\frac{397}{4}",
["typ"] = "cislo" },
["tex"] = "99\\frac{1}{4}",
["tex_float"] = "99{,}25",
["x"] = 99,
["y"] = 1,
["z"] = 4 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 + 8",
["typ"] = "plus" },
["render"] = "(8 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(8 + 8) \\cdot 6",
["typ"] = "krat" },
["render"] = "3\\frac{1}{4} + (8 + 8) \\cdot 6",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.12, bodu=13, $$\frac{12 + 5}{6} + (-7)=\textcolor{white}{-4\frac{1}{6}}$$return {
["body"] = 13,
["id"] = "FipdtH_1120_0530",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = -4.1666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -25,
["jmenovatel"] = 6 },
["render"] = "\\frac{-25}{6}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{1}{6}",
["x"] = -4,
["y"] = 1,
["z"] = 6 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "12 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{12 + 5}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{12 + 5}{6} + (-7)",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.13, bodu=7, $$-4 \cdot 8 \cdot (-6 - 7)=\textcolor{white}{416}$$return {
["body"] = 7,
["id"] = "fysEYZ_1120_0530",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 416,
["jmenovatel"] = 1 },
["render"] = "\\frac{416}{1}",
["typ"] = "cislo" },
["tex"] = "416",
["x"] = 416 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-6 - 7",
["typ"] = "minus" },
["render"] = "(-6 - 7)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (-6 - 7)",
["typ"] = "krat" },
["render"] = "-4 \\cdot 8 \\cdot (-6 - 7)",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.14, bodu=34, $$(\frac{5}{3})^4 \cdot 9=\textcolor{white}{69\frac{4}{9}}$$return {
["body"] = 34,
["id"] = "l4p8mW_1120_0530",
["obtiznost"] = 0.4224,
["reseni"] = {
["float"] = 69.444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 9 },
["render"] = "\\frac{5625}{81}",
["typ"] = "cislo" },
["tex"] = "69\\frac{4}{9}",
["x"] = 69,
["y"] = 4,
["z"] = 9 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.14",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{5}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{5}{3})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(\\frac{5}{3})^4 \\cdot 9",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.15, bodu=28, $$6 \cdot -6 \cdot (4\frac{3}{5} + 6)=\textcolor{white}{-381{,}6}$$return {
["body"] = 28,
["id"] = "gBKbd2_1120_0530",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = -381.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1908,
["jmenovatel"] = 5 },
["render"] = "\\frac{-1908}{5}",
["typ"] = "cislo" },
["tex"] = "-381\\frac{3}{5}",
["tex_float"] = "-381{,}6",
["x"] = -381,
["y"] = 3,
["z"] = 5 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.15",
["zadani"] = {
["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"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{5} + 6",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{5} + 6)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot -6 \\cdot (4\\frac{3}{5} + 6)",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.16, bodu=29, $$4 \cdot 1\frac{4}{5} \cdot -6=\textcolor{white}{-43{,}2}$$return {
["body"] = 29,
["id"] = "9b2dSo_1120_0530",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = -43.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = -216,
["jmenovatel"] = 5 },
["render"] = "\\frac{-216}{5}",
["typ"] = "cislo" },
["tex"] = "-43\\frac{1}{5}",
["tex_float"] = "-43{,}2",
["x"] = -43,
["y"] = 1,
["z"] = 5 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.16",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{5} \\cdot -6",
["typ"] = "krat" },
["render"] = "4 \\cdot 1\\frac{4}{5} \\cdot -6",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.17, bodu=16, $$\frac{7}{4 - (-11)} + 8=\textcolor{white}{8\frac{7}{15}}$$return {
["body"] = 16,
["id"] = "BQvf0o_1120_0530",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = 8.4666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 127,
["jmenovatel"] = 15 },
["render"] = "\\frac{127}{15}",
["typ"] = "cislo" },
["tex"] = "8\\frac{7}{15}",
["x"] = 8,
["y"] = 7,
["z"] = 15 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4 - (-11)",
["typ"] = "minus" },
["render"] = "\\frac{7}{4 - (-11)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7}{4 - (-11)} + 8",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.18, bodu=8, $$7 - (-8 + (-9 \cdot 5))=\textcolor{white}{60}$$return {
["body"] = 8,
["id"] = "QLmoFi_1120_0530",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 60,
["jmenovatel"] = 1 },
["render"] = "\\frac{60}{1}",
["typ"] = "cislo" },
["tex"] = "60",
["x"] = 60 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 5",
["typ"] = "krat" },
["render"] = "-8 + (-9 \\cdot 5)",
["typ"] = "plus" },
["render"] = "(-8 + (-9 \\cdot 5))",
["typ"] = "zavorka" },
["render"] = "7 - (-8 + (-9 \\cdot 5))",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.19, bodu=31, $$\frac{\frac{11}{4}}{3\frac{5}{9}}=\textcolor{white}{\frac{99}{128}}$$return {
["body"] = 31,
["id"] = "HqKwkw_1120_0530",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 0.7734375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 99,
["jmenovatel"] = 128 },
["render"] = "\\frac{99}{128}",
["typ"] = "cislo" },
["tex"] = "\\frac{99}{128}",
["y"] = 99,
["z"] = 128 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{11}{4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{4}}{3\\frac{5}{9}}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.2, bodu=32, $$\frac{7}{7 \cdot 4\frac{5}{10} + 9}=\textcolor{white}{\frac{14}{81}}$$return {
["body"] = 32,
["id"] = "1gj5jr_1120_0530",
["obtiznost"] = 0.4,
["reseni"] = {
["float"] = 0.17283950617284,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 81 },
["render"] = "\\frac{14}{81}",
["typ"] = "cislo" },
["tex"] = "\\frac{14}{81}",
["y"] = 14,
["z"] = 81 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "7 \\cdot 4\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 \\cdot 4\\frac{5}{10} + 9",
["typ"] = "plus" },
["render"] = "\\frac{7}{7 \\cdot 4\\frac{5}{10} + 9}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.21, bodu=23, $$\frac{7}{(7 - (-5 - 11) - 10)^2}=\textcolor{white}{\frac{7}{169}}$$return {
["body"] = 23,
["id"] = "c2V97L_1120_0530",
["obtiznost"] = 0.278,
["reseni"] = {
["float"] = 0.041420118343195,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 169 },
["render"] = "\\frac{7}{169}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{169}",
["y"] = 7,
["z"] = 169 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-5 - 11",
["typ"] = "minus" },
["render"] = "(-5 - 11)",
["typ"] = "zavorka" },
["render"] = "7 - (-5 - 11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 - (-5 - 11) - 10",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - (-5 - 11) - 10)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{7}{(7 - (-5 - 11) - 10)^2}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.22, bodu=40, $$\frac{4}{10} - (\frac{6}{2\frac{4}{8}})^2=\textcolor{white}{-5{,}36}$$return {
["body"] = 40,
["id"] = "UShrYz_1120_0530",
["obtiznost"] = 0.4876,
["reseni"] = {
["float"] = -5.36,
["objekt"] = {
["hodnota"] = {
["citatel"] = -134,
["jmenovatel"] = 25 },
["render"] = "\\frac{-670}{125}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{9}{25}",
["tex_float"] = "-5{,}36",
["x"] = -5,
["y"] = 9,
["z"] = 25 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{2\\frac{4}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{2\\frac{4}{8}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4}{10} - (\\frac{6}{2\\frac{4}{8}})^2",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.23, bodu=40, $$13 \cdot (3\frac{1}{5} + (\frac{9}{8})^2)=\textcolor{white}{58\frac{17}{320}}$$return {
["body"] = 40,
["id"] = "99UYlP_1120_0530",
["obtiznost"] = 0.488,
["reseni"] = {
["float"] = 58.053125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18577,
["jmenovatel"] = 320 },
["render"] = "\\frac{18577}{320}",
["typ"] = "cislo" },
["tex"] = "58\\frac{17}{320}",
["x"] = 58,
["y"] = 17,
["z"] = 320 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{8})^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{1}{5} + (\\frac{9}{8})^2",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{5} + (\\frac{9}{8})^2)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (3\\frac{1}{5} + (\\frac{9}{8})^2)",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.24, bodu=20, $$\frac{12 \cdot 9}{-4 \cdot 6}=\textcolor{white}{-4{,}5}$$return {
["body"] = 20,
["id"] = "K2c8Rs_1120_0530",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = -4.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 2 },
["render"] = "\\frac{108}{-24}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{1}{2}",
["tex_float"] = "-4{,}5",
["x"] = -4,
["y"] = 1,
["z"] = 2 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "12 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 6",
["typ"] = "krat" },
["render"] = "\\frac{12 \\cdot 9}{-4 \\cdot 6}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.25, bodu=26, $$\frac{9}{(\frac{10}{9})^2} - (-5)=\textcolor{white}{12{,}29}$$return {
["body"] = 26,
["id"] = "6tZkBc_1120_0530",
["obtiznost"] = 0.3224,
["reseni"] = {
["float"] = 12.29,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1229,
["jmenovatel"] = 100 },
["render"] = "\\frac{1229}{100}",
["typ"] = "cislo" },
["tex"] = "12\\frac{29}{100}",
["tex_float"] = "12{,}29",
["x"] = 12,
["y"] = 29,
["z"] = 100 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{9})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{9}{(\\frac{10}{9})^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{9}{(\\frac{10}{9})^2} - (-5)",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.26, bodu=10, $$(-7 - 12) \cdot -5 \cdot -11=\textcolor{white}{-1045}$$return {
["body"] = 10,
["id"] = "Igpr1p_1120_0530",
["obtiznost"] = 0.26,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1045,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1045}{1}",
["typ"] = "cislo" },
["tex"] = "-1045",
["x"] = -1045 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-7 - 12",
["typ"] = "minus" },
["render"] = "(-7 - 12)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "(-7 - 12) \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(-7 - 12) \\cdot -5 \\cdot -11",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.27, bodu=40, $$(\frac{8}{3})^3 + (-9) + 3 - 12=\textcolor{white}{\frac{26}{27}}$$return {
["body"] = 40,
["id"] = "dm9cCg_1120_0530",
["obtiznost"] = 0.4856,
["reseni"] = {
["float"] = 0.96296296296296,
["objekt"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 27 },
["render"] = "\\frac{26}{27}",
["typ"] = "cislo" },
["tex"] = "\\frac{26}{27}",
["y"] = 26,
["z"] = 27 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{8}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8}{3})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(\\frac{8}{3})^3 + (-9)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3 - 12",
["typ"] = "minus" },
["render"] = "(\\frac{8}{3})^3 + (-9) + 3 - 12",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.28, bodu=11, $$-8 \cdot 11 + 10 \cdot 10=\textcolor{white}{12}$$return {
["body"] = 11,
["id"] = "Tc3fsc_1120_0530",
["obtiznost"] = 0.28,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "\\frac{12}{1}",
["typ"] = "cislo" },
["tex"] = "12",
["x"] = 12 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 \\cdot 10",
["typ"] = "krat" },
["render"] = "-8 \\cdot 11 + 10 \\cdot 10",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.29, bodu=40, $$9 + (1\frac{5}{10} - 6 + 4) \cdot 8=\textcolor{white}{5}$$return {
["body"] = 40,
["id"] = "zXvLFV_1120_0530",
["obtiznost"] = 0.49,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "\\frac{5}{1}",
["typ"] = "cislo" },
["tex"] = "5",
["x"] = 5 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} - 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} - 6 + 4",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{10} - 6 + 4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(1\\frac{5}{10} - 6 + 4) \\cdot 8",
["typ"] = "krat" },
["render"] = "9 + (1\\frac{5}{10} - 6 + 4) \\cdot 8",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.3, bodu=41, $$2\frac{3}{5} \cdot 14 \cdot (-8 - 13)=\textcolor{white}{-764{,}4}$$return {
["body"] = 41,
["id"] = "tKE6hi_1120_0530",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -764.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3822,
["jmenovatel"] = 5 },
["render"] = "\\frac{-3822}{5}",
["typ"] = "cislo" },
["tex"] = "-764\\frac{2}{5}",
["tex_float"] = "-764{,}4",
["x"] = -764,
["y"] = 2,
["z"] = 5 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-8 - 13",
["typ"] = "minus" },
["render"] = "(-8 - 13)",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{5} \\cdot 14 \\cdot (-8 - 13)",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.31, bodu=42, $$\frac{\frac{10}{10}}{10} - 1\frac{4}{8}=\textcolor{white}{-1{,}4}$$return {
["body"] = 42,
["id"] = "ibSMmp_1120_0530",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = -1.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 5 },
["render"] = "\\frac{-28}{20}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{2}{5}",
["tex_float"] = "-1{,}4",
["x"] = -1,
["y"] = 2,
["z"] = 5 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.31",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{10}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10}{10}}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10}{10}}{10} - 1\\frac{4}{8}",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.32, bodu=43, $$(8 - 12) \cdot 6 \cdot 3\frac{4}{5}=\textcolor{white}{-91{,}2}$$return {
["body"] = 43,
["id"] = "7vtzbw_1120_0530",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = -91.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = -456,
["jmenovatel"] = 5 },
["render"] = "\\frac{-456}{5}",
["typ"] = "cislo" },
["tex"] = "-91\\frac{1}{5}",
["tex_float"] = "-91{,}2",
["x"] = -91,
["y"] = 1,
["z"] = 5 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.32",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 - 12",
["typ"] = "minus" },
["render"] = "(8 - 12)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 3\\frac{4}{5}",
["typ"] = "krat" },
["render"] = "(8 - 12) \\cdot 6 \\cdot 3\\frac{4}{5}",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.33, bodu=14, $$-11 \cdot 10 \cdot ((-11 + 13)^2 - 7)^4=\textcolor{white}{-8910}$$return {
["body"] = 14,
["id"] = "u5y3SV_1120_0530",
["obtiznost"] = 0.3648,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -8910,
["jmenovatel"] = 1 },
["render"] = "\\frac{-8910}{1}",
["typ"] = "cislo" },
["tex"] = "-8910",
["x"] = -8910 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-11 + 13",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-11 + 13)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(-11 + 13)^2 - 7",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "((-11 + 13)^2 - 7)^4",
["typ"] = "mocnina" },
["render"] = "-11 \\cdot 10 \\cdot ((-11 + 13)^2 - 7)^4",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.34, bodu=27, $$\frac{9 \cdot 9}{7} - 13=\textcolor{white}{-1\frac{3}{7}}$$return {
["body"] = 27,
["id"] = "ENYD43_1120_0530",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = -1.4285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 7 },
["render"] = "\\frac{-10}{7}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{3}{7}",
["x"] = -1,
["y"] = 3,
["z"] = 7 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.34",
["zadani"] = {
["c1"] = {
["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"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot 9}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot 9}{7} - 13",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.35, bodu=14, $$(4 - 6)^4 - 7 \cdot 9=\textcolor{white}{-47}$$return {
["body"] = 14,
["id"] = "vbrhEm_1120_0530",
["obtiznost"] = 0.3568,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -47,
["jmenovatel"] = 1 },
["render"] = "\\frac{-47}{1}",
["typ"] = "cislo" },
["tex"] = "-47",
["x"] = -47 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.35",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4 - 6",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(4 - 6)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "7 \\cdot 9",
["typ"] = "krat" },
["render"] = "(4 - 6)^4 - 7 \\cdot 9",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.36, bodu=94, $$(\frac{4\frac{1}{3}}{-6})^2 + (-9 - (2\frac{4}{6} + (-3)))=\textcolor{white}{-8\frac{47}{324}}$$return {
["body"] = 94,
["id"] = "rSFJRv_1120_0530",
["obtiznost"] = 0.9572,
["reseni"] = {
["float"] = -8.1450617283951,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2639,
["jmenovatel"] = 324 },
["render"] = "\\frac{-7917}{972}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{47}{324}",
["x"] = -8,
["y"] = 47,
["z"] = 324 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.36",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{3}}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{4\\frac{1}{3}}{-6})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{6} + (-3)",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{6} + (-3))",
["typ"] = "zavorka" },
["render"] = "-9 - (2\\frac{4}{6} + (-3))",
["typ"] = "minus" },
["render"] = "(\\frac{4\\frac{1}{3}}{-6})^2 + (-9 - (2\\frac{4}{6} + (-3)))",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.37, bodu=48, $$(2\frac{1}{8} - 8) \cdot \frac{7}{-9}=\textcolor{white}{4\frac{41}{72}}$$return {
["body"] = 48,
["id"] = "kjx3wv_1120_0530",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 4.5694444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 329,
["jmenovatel"] = 72 },
["render"] = "\\frac{329}{72}",
["typ"] = "cislo" },
["tex"] = "4\\frac{41}{72}",
["x"] = 4,
["y"] = 41,
["z"] = 72 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.37",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{8} - 8",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{8} - 8)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-9}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{1}{8} - 8) \\cdot \\frac{7}{-9}",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.38, bodu=31, $$\frac{-8 - 15 + (-14)}{-13 \cdot 7}=\textcolor{white}{\frac{37}{91}}$$return {
["body"] = 31,
["id"] = "UxHN0v_1120_0530",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 0.40659340659341,
["objekt"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 91 },
["render"] = "\\frac{-37}{-91}",
["typ"] = "cislo" },
["tex"] = "\\frac{37}{91}",
["y"] = 37,
["z"] = 91 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-8 - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-8 - 15 + (-14)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 7",
["typ"] = "krat" },
["render"] = "\\frac{-8 - 15 + (-14)}{-13 \\cdot 7}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.39, bodu=50, $$\frac{9}{10} + \frac{4\frac{4}{7}}{10}=\textcolor{white}{1\frac{5}{14}}$$return {
["body"] = 50,
["id"] = "cDR0eE_1120_0530",
["obtiznost"] = 0.59,
["reseni"] = {
["float"] = 1.3571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "\\frac{475}{350}",
["typ"] = "cislo" },
["tex"] = "1\\frac{5}{14}",
["x"] = 1,
["y"] = 5,
["z"] = 14 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.39",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{7}}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{9}{10} + \\frac{4\\frac{4}{7}}{10}",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.4, bodu=51, $$6 + 4\frac{5}{6} + 7 \cdot \frac{12}{6}=\textcolor{white}{24\frac{5}{6}}$$return {
["body"] = 51,
["id"] = "JrtX9Z_1120_0530",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = 24.833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 149,
["jmenovatel"] = 6 },
["render"] = "\\frac{149}{6}",
["typ"] = "cislo" },
["tex"] = "24\\frac{5}{6}",
["x"] = 24,
["y"] = 5,
["z"] = 6 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "6 + 4\\frac{5}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{12}{6}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{12}{6}",
["typ"] = "krat" },
["render"] = "6 + 4\\frac{5}{6} + 7 \\cdot \\frac{12}{6}",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.41, bodu=37, $$\frac{\frac{9}{10}}{(9 + 11 + 2 + (-12))^2}=\textcolor{white}{0{,}009}$$return {
["body"] = 37,
["id"] = "6iOxeI_1120_0530",
["obtiznost"] = 0.4504,
["reseni"] = {
["float"] = 0.009,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1000 },
["render"] = "\\frac{9}{1000}",
["typ"] = "cislo" },
["tex"] = "\\frac{9}{1000}",
["tex_float"] = "0{,}009",
["y"] = 9,
["z"] = 1000 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["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"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "9 + 11 + 2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "9 + 11 + 2 + (-12)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(9 + 11 + 2 + (-12))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{9}{10}}{(9 + 11 + 2 + (-12))^2}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.42, bodu=74, $$\frac{-10}{(13 + 8)^2} \cdot 5 \cdot 2\frac{3}{8}=\textcolor{white}{-\frac{475}{1764}}$$return {
["body"] = 74,
["id"] = "3MwLpW_1120_0530",
["obtiznost"] = 0.7968,
["reseni"] = {
["float"] = -0.26927437641723,
["objekt"] = {
["hodnota"] = {
["citatel"] = -475,
["jmenovatel"] = 1764 },
["render"] = "\\frac{-950}{3528}",
["typ"] = "cislo" },
["tex"] = "-\\frac{475}{1764}",
["y"] = -475,
["z"] = 1764 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "13 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(13 + 8)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-10}{(13 + 8)^2}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 2\\frac{3}{8}",
["typ"] = "krat" },
["render"] = "\\frac{-10}{(13 + 8)^2} \\cdot 5 \\cdot 2\\frac{3}{8}",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.43, bodu=84, $$2\frac{3}{9} - (\frac{11}{3})^2 - 4\frac{1}{7} - (-8)=\textcolor{white}{-7\frac{16}{63}}$$return {
["body"] = 84,
["id"] = "WH03FF_1120_0530",
["obtiznost"] = 0.882,
["reseni"] = {
["float"] = -7.2539682539683,
["objekt"] = {
["hodnota"] = {
["citatel"] = -457,
["jmenovatel"] = 63 },
["render"] = "\\frac{-457}{63}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{16}{63}",
["x"] = -7,
["y"] = 16,
["z"] = 63 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{11}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{3})^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{3}{9} - (\\frac{11}{3})^2",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - (\\frac{11}{3})^2 - 4\\frac{1}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} - (\\frac{11}{3})^2 - 4\\frac{1}{7} - (-8)",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.44, bodu=36, $$\frac{\frac{10}{-9}}{12 \cdot 5}=\textcolor{white}{-\frac{1}{54}}$$return {
["body"] = 36,
["id"] = "y5Fjc0_1120_0530",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = -0.018518518518519,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 54 },
["render"] = "\\frac{-10}{540}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{54}",
["y"] = -1,
["z"] = 54 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "12 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{\\frac{10}{-9}}{12 \\cdot 5}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.45, bodu=84, $$(14 - (-10))^2 \cdot (9 - 8 + 4\frac{1}{4})=\textcolor{white}{3024}$$return {
["body"] = 84,
["id"] = "zSb8r9_1120_0530",
["obtiznost"] = 0.8808,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3024,
["jmenovatel"] = 1 },
["render"] = "\\frac{12096}{4}",
["typ"] = "cislo" },
["tex"] = "3024",
["tex_float"] = "3024",
["x"] = 3024 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.45",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "14 - (-10)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(14 - (-10))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "9 - 8 + 4\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(9 - 8 + 4\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "(14 - (-10))^2 \\cdot (9 - 8 + 4\\frac{1}{4})",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.46, bodu=38, $$-10 - 14 - \frac{5}{9} \cdot -11=\textcolor{white}{-17\frac{8}{9}}$$return {
["body"] = 38,
["id"] = "HJbvYY_1120_0530",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = -17.888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -161,
["jmenovatel"] = 9 },
["render"] = "\\frac{-161}{9}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{8}{9}",
["x"] = -17,
["y"] = 8,
["z"] = 9 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-10 - 14",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{5}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{5}{9} \\cdot -11",
["typ"] = "krat" },
["render"] = "-10 - 14 - \\frac{5}{9} \\cdot -11",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.47, bodu=60, $$\frac{4\frac{1}{9} \cdot (6 + (-10))^2}{4 + 5}=\textcolor{white}{7\frac{25}{81}}$$return {
["body"] = 60,
["id"] = "Dx2mQ0_1120_0530",
["obtiznost"] = 0.6768,
["reseni"] = {
["float"] = 7.3086419753086,
["objekt"] = {
["hodnota"] = {
["citatel"] = 592,
["jmenovatel"] = 81 },
["render"] = "\\frac{592}{81}",
["typ"] = "cislo" },
["tex"] = "7\\frac{25}{81}",
["x"] = 7,
["y"] = 25,
["z"] = 81 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "6 + (-10)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + (-10))^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{1}{9} \\cdot (6 + (-10))^2",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 + 5",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{1}{9} \\cdot (6 + (-10))^2}{4 + 5}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.48, bodu=60, $$2\frac{4}{8} - (-11 - (8 \cdot (6 + 9) + 10))=\textcolor{white}{143{,}5}$$return {
["body"] = 60,
["id"] = "4ZofRZ_1120_0530",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = 143.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 287,
["jmenovatel"] = 2 },
["render"] = "\\frac{287}{2}",
["typ"] = "cislo" },
["tex"] = "143\\frac{1}{2}",
["tex_float"] = "143{,}5",
["x"] = 143,
["y"] = 1,
["z"] = 2 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "6 + 9",
["typ"] = "plus" },
["render"] = "(6 + 9)",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (6 + 9)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 \\cdot (6 + 9) + 10",
["typ"] = "plus" },
["render"] = "(8 \\cdot (6 + 9) + 10)",
["typ"] = "zavorka" },
["render"] = "-11 - (8 \\cdot (6 + 9) + 10)",
["typ"] = "minus" },
["render"] = "(-11 - (8 \\cdot (6 + 9) + 10))",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{8} - (-11 - (8 \\cdot (6 + 9) + 10))",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.49, bodu=100, $$((\frac{-10}{5 \cdot 4\frac{4}{8}})^3 - (-14)) \cdot 10=\textcolor{white}{139\frac{89}{729}}$$return {
["body"] = 100,
["id"] = "gYanUi_1120_0530",
["obtiznost"] = 1.0072,
["reseni"] = {
["float"] = 139.12208504801,
["objekt"] = {
["hodnota"] = {
["citatel"] = 101420,
["jmenovatel"] = 729 },
["render"] = "\\frac{101420}{729}",
["typ"] = "cislo" },
["tex"] = "139\\frac{89}{729}",
["x"] = 139,
["y"] = 89,
["z"] = 729 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.49",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 4\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "\\frac{-10}{5 \\cdot 4\\frac{4}{8}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-10}{5 \\cdot 4\\frac{4}{8}})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(\\frac{-10}{5 \\cdot 4\\frac{4}{8}})^3 - (-14)",
["typ"] = "minus" },
["render"] = "((\\frac{-10}{5 \\cdot 4\\frac{4}{8}})^3 - (-14))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "((\\frac{-10}{5 \\cdot 4\\frac{4}{8}})^3 - (-14)) \\cdot 10",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.5, bodu=151, $$1\frac{1}{6} \cdot ((6 \cdot 1\frac{5}{10} + 2\frac{4}{7} - 15)^2 + 12)=\textcolor{white}{27\frac{5}{7}}$$return {
["body"] = 151,
["id"] = "7LMWNU_1120_0530",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = 27.714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 194,
["jmenovatel"] = 7 },
["render"] = "\\frac{8148}{294}",
["typ"] = "cislo" },
["tex"] = "27\\frac{5}{7}",
["x"] = 27,
["y"] = 5,
["z"] = 7 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "6 \\cdot 1\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} - 15",
["typ"] = "minus" },
["render"] = "6 \\cdot 1\\frac{5}{10} + 2\\frac{4}{7} - 15",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 \\cdot 1\\frac{5}{10} + 2\\frac{4}{7} - 15)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(6 \\cdot 1\\frac{5}{10} + 2\\frac{4}{7} - 15)^2 + 12",
["typ"] = "plus" },
["render"] = "((6 \\cdot 1\\frac{5}{10} + 2\\frac{4}{7} - 15)^2 + 12)",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{6} \\cdot ((6 \\cdot 1\\frac{5}{10} + 2\\frac{4}{7} - 15)^2 + 12)",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.51, bodu=21, $$-9 - (-12) + (-9 \cdot 11 \cdot 5)=\textcolor{white}{-492}$$return {
["body"] = 21,
["id"] = "ALFq4Z_1120_0530",
["obtiznost"] = 0.51,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -492,
["jmenovatel"] = 1 },
["render"] = "\\frac{-492}{1}",
["typ"] = "cislo" },
["tex"] = "-492",
["tex_float"] = "-492",
["x"] = -492 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-9 - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 11 \\cdot 5",
["typ"] = "krat" },
["render"] = "-9 - (-12) + (-9 \\cdot 11 \\cdot 5)",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.52, bodu=60, $$\frac{(-7 - 13)^2}{-12 - 11 \cdot 16}=\textcolor{white}{-2\frac{6}{47}}$$return {
["body"] = 60,
["id"] = "RBadDT_1120_0530",
["obtiznost"] = 0.6804,
["reseni"] = {
["float"] = -2.1276595744681,
["objekt"] = {
["hodnota"] = {
["citatel"] = -100,
["jmenovatel"] = 47 },
["render"] = "\\frac{400}{-188}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{6}{47}",
["x"] = -2,
["y"] = 6,
["z"] = 47 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.52",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-7 - 13",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-7 - 13)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "11 \\cdot 16",
["typ"] = "krat" },
["render"] = "-12 - 11 \\cdot 16",
["typ"] = "minus" },
["render"] = "\\frac{(-7 - 13)^2}{-12 - 11 \\cdot 16}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.53, bodu=66, $$\frac{4\frac{4}{11} \cdot 5 - (-6)}{(-14 + 12)^2}=\textcolor{white}{6\frac{21}{22}}$$return {
["body"] = 66,
["id"] = "kNNtNy_1120_0530",
["obtiznost"] = 0.732,
["reseni"] = {
["float"] = 6.9545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 153,
["jmenovatel"] = 22 },
["render"] = "\\frac{306}{44}",
["typ"] = "cislo" },
["tex"] = "6\\frac{21}{22}",
["x"] = 6,
["y"] = 21,
["z"] = 22 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{11} \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{11} \\cdot 5 - (-6)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-14 + 12",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-14 + 12)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{4}{11} \\cdot 5 - (-6)}{(-14 + 12)^2}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.54, bodu=79, $$(5 + 11)^2 - 12 - (2\frac{4}{10} + 10 - (-9))=\textcolor{white}{222{,}6}$$return {
["body"] = 79,
["id"] = "LCtdz4_1120_0530",
["obtiznost"] = 0.8428,
["reseni"] = {
["float"] = 222.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1113,
["jmenovatel"] = 5 },
["render"] = "\\frac{1113}{5}",
["typ"] = "cislo" },
["tex"] = "222\\frac{3}{5}",
["tex_float"] = "222{,}6",
["x"] = 222,
["y"] = 3,
["z"] = 5 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "5 + 11",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(5 + 11)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(5 + 11)^2 - 12",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} + 10 - (-9)",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{10} + 10 - (-9))",
["typ"] = "zavorka" },
["render"] = "(5 + 11)^2 - 12 - (2\\frac{4}{10} + 10 - (-9))",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.55, bodu=93, $$1\frac{4}{7} - (10 - (13 + 2\frac{4}{10} \cdot -10))=\textcolor{white}{-19\frac{3}{7}}$$return {
["body"] = 93,
["id"] = "fclkkN_1120_0530",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = -19.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -136,
["jmenovatel"] = 7 },
["render"] = "\\frac{-136}{7}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{3}{7}",
["x"] = -19,
["y"] = 3,
["z"] = 7 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.55",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} \\cdot -10",
["typ"] = "krat" },
["render"] = "13 + 2\\frac{4}{10} \\cdot -10",
["typ"] = "plus" },
["render"] = "(13 + 2\\frac{4}{10} \\cdot -10)",
["typ"] = "zavorka" },
["render"] = "10 - (13 + 2\\frac{4}{10} \\cdot -10)",
["typ"] = "minus" },
["render"] = "(10 - (13 + 2\\frac{4}{10} \\cdot -10))",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{7} - (10 - (13 + 2\\frac{4}{10} \\cdot -10))",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.56, bodu=70, $$\frac{\frac{(\frac{-14}{-7})^3}{9}}{-5 - 4\frac{4}{13}}=\textcolor{white}{-\frac{104}{1089}}$$return {
["body"] = 70,
["id"] = "BGrQfm_1120_0530",
["obtiznost"] = 0.7636,
["reseni"] = {
["float"] = -0.095500459136823,
["objekt"] = {
["hodnota"] = {
["citatel"] = -104,
["jmenovatel"] = 1089 },
["render"] = "\\frac{104}{-1089}",
["typ"] = "cislo" },
["tex"] = "-\\frac{104}{1089}",
["y"] = -104,
["z"] = 1089 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-14}{-7})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-14}{-7})^3}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "-5 - 4\\frac{4}{13}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{(\\frac{-14}{-7})^3}{9}}{-5 - 4\\frac{4}{13}}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.57, bodu=55, $$\frac{(\frac{5}{-12})^2}{9} - (-15 + 4)=\textcolor{white}{11\frac{25}{1296}}$$return {
["body"] = 55,
["id"] = "42d1aw_1120_0530",
["obtiznost"] = 0.6376,
["reseni"] = {
["float"] = 11.019290123457,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14281,
["jmenovatel"] = 1296 },
["render"] = "\\frac{14281}{1296}",
["typ"] = "cislo" },
["tex"] = "11\\frac{25}{1296}",
["x"] = 11,
["y"] = 25,
["z"] = 1296 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-12}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5}{-12})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{5}{-12})^2}{9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-15 + 4",
["typ"] = "plus" },
["render"] = "(-15 + 4)",
["typ"] = "zavorka" },
["render"] = "\\frac{(\\frac{5}{-12})^2}{9} - (-15 + 4)",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.58, bodu=125, $$\frac{-8 \cdot (4\frac{3}{11} + 4\frac{2}{3})}{-12 + 2\frac{2}{7}}=\textcolor{white}{7\frac{203}{561}}$$return {
["body"] = 125,
["id"] = "BURu7h_1120_0530",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = 7.3618538324421,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4130,
["jmenovatel"] = 561 },
["render"] = "\\frac{-16520}{-2244}",
["typ"] = "cislo" },
["tex"] = "7\\frac{203}{561}",
["x"] = 7,
["y"] = 203,
["z"] = 561 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{11} + 4\\frac{2}{3}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{11} + 4\\frac{2}{3})",
["typ"] = "zavorka" },
["render"] = "-8 \\cdot (4\\frac{3}{11} + 4\\frac{2}{3})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-12 + 2\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "\\frac{-8 \\cdot (4\\frac{3}{11} + 4\\frac{2}{3})}{-12 + 2\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.59, bodu=157, $$\frac{-7 - 3\frac{2}{8}}{1\frac{1}{6}} \cdot (2\frac{3}{8} - 4\frac{1}{4})=\textcolor{white}{16\frac{53}{112}}$$return {
["body"] = 157,
["id"] = "swL9UX_1120_0530",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = 16.473214285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1845,
["jmenovatel"] = 112 },
["render"] = "\\frac{1845}{112}",
["typ"] = "cislo" },
["tex"] = "16\\frac{53}{112}",
["x"] = 16,
["y"] = 53,
["z"] = 112 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-7 - 3\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-7 - 3\\frac{2}{8}}{1\\frac{1}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} - 4\\frac{1}{4}",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{8} - 4\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "\\frac{-7 - 3\\frac{2}{8}}{1\\frac{1}{6}} \\cdot (2\\frac{3}{8} - 4\\frac{1}{4})",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.6, bodu=167, $$\frac{10}{(1\frac{1}{6} - 3\frac{4}{6})^3 - (-10)} - (4\frac{5}{9} - 4\frac{4}{9})=\textcolor{white}{-1\frac{8}{9}}$$return {
["body"] = 167,
["id"] = "Ztwyz5_1120_0530",
["obtiznost"] = 1.4532,
["reseni"] = {
["float"] = -1.8888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 9 },
["render"] = "\\frac{-17}{9}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{8}{9}",
["x"] = -1,
["y"] = 8,
["z"] = 9 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} - 3\\frac{4}{6}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(1\\frac{1}{6} - 3\\frac{4}{6})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(1\\frac{1}{6} - 3\\frac{4}{6})^3 - (-10)",
["typ"] = "minus" },
["render"] = "\\frac{10}{(1\\frac{1}{6} - 3\\frac{4}{6})^3 - (-10)}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} - 4\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{9} - 4\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "\\frac{10}{(1\\frac{1}{6} - 3\\frac{4}{6})^3 - (-10)} - (4\\frac{5}{9} - 4\\frac{4}{9})",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.61, bodu=129, $$\frac{11 \cdot 1\frac{4}{11}}{\frac{-18}{4\frac{3}{7} + 1\frac{1}{6}}}=\textcolor{white}{-4\frac{167}{252}}$$return {
["body"] = 129,
["id"] = "jbwqGi_1120_0530",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = -4.6626984126984,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1175,
["jmenovatel"] = 252 },
["render"] = "\\frac{3525}{-756}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{167}{252}",
["x"] = -4,
["y"] = 167,
["z"] = 252 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{4}{11}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 1\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "\\frac{-18}{4\\frac{3}{7} + 1\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{11 \\cdot 1\\frac{4}{11}}{\\frac{-18}{4\\frac{3}{7} + 1\\frac{1}{6}}}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.62, bodu=76, $$(16 - (-13)) \cdot (-10 + (-20) - \frac{11}{4\frac{4}{12}})=\textcolor{white}{-943\frac{8}{13}}$$return {
["body"] = 76,
["id"] = "Q8U6AW_1120_0530",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = -943.61538461538,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12267,
["jmenovatel"] = 13 },
["render"] = "\\frac{-12267}{13}",
["typ"] = "cislo" },
["tex"] = "-943\\frac{8}{13}",
["x"] = -943,
["y"] = 8,
["z"] = 13 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.62",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "16 - (-13)",
["typ"] = "minus" },
["render"] = "(16 - (-13))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "-10 + (-20)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{4\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "-10 + (-20) - \\frac{11}{4\\frac{4}{12}}",
["typ"] = "minus" },
["render"] = "(-10 + (-20) - \\frac{11}{4\\frac{4}{12}})",
["typ"] = "zavorka" },
["render"] = "(16 - (-13)) \\cdot (-10 + (-20) - \\frac{11}{4\\frac{4}{12}})",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.63, bodu=78, $$\frac{13}{\frac{10 - (-6)}{-13}} - (16 + 3\frac{5}{10})=\textcolor{white}{-30\frac{1}{16}}$$return {
["body"] = 78,
["id"] = "ueEhBq_1120_0530",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = -30.0625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -481,
["jmenovatel"] = 16 },
["render"] = "\\frac{-962}{32}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{1}{16}",
["x"] = -30,
["y"] = 1,
["z"] = 16 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "10 - (-6)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{10 - (-6)}{-13}",
["typ"] = "lomeno" },
["render"] = "\\frac{13}{\\frac{10 - (-6)}{-13}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "16 + 3\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(16 + 3\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "\\frac{13}{\\frac{10 - (-6)}{-13}} - (16 + 3\\frac{5}{10})",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.64, bodu=165, $$\frac{4\frac{3}{5} - 8}{2\frac{2}{7}} - (4\frac{3}{7} - (-16 + 2\frac{3}{8}))=\textcolor{white}{-19\frac{303}{560}}$$return {
["body"] = 165,
["id"] = "ZQ9lPK_1120_0530",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = -19.541071428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10943,
["jmenovatel"] = 560 },
["render"] = "\\frac{-87544}{4480}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{303}{560}",
["x"] = -19,
["y"] = 303,
["z"] = 560 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{5} - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{5} - 8}{2\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-16 + 2\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(-16 + 2\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{7} - (-16 + 2\\frac{3}{8})",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{7} - (-16 + 2\\frac{3}{8}))",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{3}{5} - 8}{2\\frac{2}{7}} - (4\\frac{3}{7} - (-16 + 2\\frac{3}{8}))",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.65, bodu=106, $$\frac{-12 + 11 + (-16)}{4\frac{2}{7} + 3\frac{5}{10} - (-11)} \cdot 8=\textcolor{white}{-7\frac{63}{263}}$$return {
["body"] = 106,
["id"] = "AA48GZ_1120_0530",
["obtiznost"] = 1.05,
["reseni"] = {
["float"] = -7.2395437262357,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1904,
["jmenovatel"] = 263 },
["render"] = "\\frac{-1904}{263}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{63}{263}",
["x"] = -7,
["y"] = 63,
["z"] = 263 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "11 + (-16)",
["typ"] = "plus" },
["render"] = "-12 + 11 + (-16)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - (-11)",
["typ"] = "minus" },
["render"] = "4\\frac{2}{7} + 3\\frac{5}{10} - (-11)",
["typ"] = "plus" },
["render"] = "\\frac{-12 + 11 + (-16)}{4\\frac{2}{7} + 3\\frac{5}{10} - (-11)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-12 + 11 + (-16)}{4\\frac{2}{7} + 3\\frac{5}{10} - (-11)} \\cdot 8",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.66, bodu=137, $$\frac{\frac{17 - 3\frac{2}{10}}{1\frac{5}{6}}}{2\frac{2}{10} - (-13 + (-7))}=\textcolor{white}{\frac{138}{407}}$$return {
["body"] = 137,
["id"] = "YOxxjo_1120_0530",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 0.33906633906634,
["objekt"] = {
["hodnota"] = {
["citatel"] = 138,
["jmenovatel"] = 407 },
["render"] = "\\frac{2070}{6105}",
["typ"] = "cislo" },
["tex"] = "\\frac{138}{407}",
["y"] = 138,
["z"] = 407 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "17 - 3\\frac{2}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{17 - 3\\frac{2}{10}}{1\\frac{5}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-13 + (-7)",
["typ"] = "plus" },
["render"] = "(-13 + (-7))",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{10} - (-13 + (-7))",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{17 - 3\\frac{2}{10}}{1\\frac{5}{6}}}{2\\frac{2}{10} - (-13 + (-7))}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.67, bodu=83, $$\frac{5 + \frac{-14}{-10} - \frac{4\frac{1}{8}}{-14}}{18}=\textcolor{white}{\frac{3749}{10080}}$$return {
["body"] = 83,
["id"] = "g4Q6Tz_1120_0530",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 0.3719246031746,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3749,
["jmenovatel"] = 10080 },
["render"] = "\\frac{3749}{10080}",
["typ"] = "cislo" },
["tex"] = "\\frac{3749}{10080}",
["y"] = 3749,
["z"] = 10080 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{8}}{-14}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14}{-10} - \\frac{4\\frac{1}{8}}{-14}",
["typ"] = "minus" },
["render"] = "5 + \\frac{-14}{-10} - \\frac{4\\frac{1}{8}}{-14}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{5 + \\frac{-14}{-10} - \\frac{4\\frac{1}{8}}{-14}}{18}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.68, bodu=140, $$14 \cdot (\frac{13}{4\frac{2}{7}} + 1\frac{3}{12} - \frac{17}{4\frac{2}{6}})=\textcolor{white}{5\frac{17}{390}}$$return {
["body"] = 140,
["id"] = "GDuCb3_1120_0530",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = 5.0435897435897,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1967,
["jmenovatel"] = 390 },
["render"] = "\\frac{3934}{780}",
["typ"] = "cislo" },
["tex"] = "5\\frac{17}{390}",
["x"] = 5,
["y"] = 17,
["z"] = 390 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{4\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{4\\frac{2}{7}} + 1\\frac{3}{12}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{17}{4\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{13}{4\\frac{2}{7}} + 1\\frac{3}{12} - \\frac{17}{4\\frac{2}{6}}",
["typ"] = "minus" },
["render"] = "(\\frac{13}{4\\frac{2}{7}} + 1\\frac{3}{12} - \\frac{17}{4\\frac{2}{6}})",
["typ"] = "zavorka" },
["render"] = "14 \\cdot (\\frac{13}{4\\frac{2}{7}} + 1\\frac{3}{12} - \\frac{17}{4\\frac{2}{6}})",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.69, bodu=141, $$(4\frac{4}{11} - 18) \cdot (7 - 4\frac{4}{9} \cdot 1\frac{3}{12})=\textcolor{white}{-19\frac{23}{33}}$$return {
["body"] = 141,
["id"] = "DgqVPR_1120_0530",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -19.69696969697,
["objekt"] = {
["hodnota"] = {
["citatel"] = -650,
["jmenovatel"] = 33 },
["render"] = "\\frac{-1950}{99}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{23}{33}",
["x"] = -19,
["y"] = 23,
["z"] = 33 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.69",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{11} - 18",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{11} - 18)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} \\cdot 1\\frac{3}{12}",
["typ"] = "krat" },
["render"] = "7 - 4\\frac{4}{9} \\cdot 1\\frac{3}{12}",
["typ"] = "minus" },
["render"] = "(7 - 4\\frac{4}{9} \\cdot 1\\frac{3}{12})",
["typ"] = "zavorka" },
["render"] = "(4\\frac{4}{11} - 18) \\cdot (7 - 4\\frac{4}{9} \\cdot 1\\frac{3}{12})",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.7, bodu=143, $$(-13 + 3\frac{1}{7} - 2\frac{1}{9}) \cdot \frac{3\frac{3}{6}}{15 \cdot 17}=\textcolor{white}{-\frac{377}{2295}}$$return {
["body"] = 143,
["id"] = "NWoY3P_1120_0530",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -0.16427015250545,
["objekt"] = {
["hodnota"] = {
["citatel"] = -377,
["jmenovatel"] = 2295 },
["render"] = "\\frac{-5278}{32130}",
["typ"] = "cislo" },
["tex"] = "-\\frac{377}{2295}",
["y"] = -377,
["z"] = 2295 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.7",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} - 2\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "-13 + 3\\frac{1}{7} - 2\\frac{1}{9}",
["typ"] = "plus" },
["render"] = "(-13 + 3\\frac{1}{7} - 2\\frac{1}{9})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "15 \\cdot 17",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{3}{6}}{15 \\cdot 17}",
["typ"] = "lomeno" },
["render"] = "(-13 + 3\\frac{1}{7} - 2\\frac{1}{9}) \\cdot \\frac{3\\frac{3}{6}}{15 \\cdot 17}",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.71, bodu=152, $$\frac{(\frac{12}{3\frac{5}{10}})^2}{4\frac{5}{10} + (-15 \cdot -14)}=\textcolor{white}{\frac{384}{7007}}$$return {
["body"] = 152,
["id"] = "DNdxPB_1120_0530",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = 0.054802340516626,
["objekt"] = {
["hodnota"] = {
["citatel"] = 384,
["jmenovatel"] = 7007 },
["render"] = "\\frac{1152}{21021}",
["typ"] = "cislo" },
["tex"] = "\\frac{384}{7007}",
["y"] = 384,
["z"] = 7007 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.71",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{3\\frac{5}{10}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{12}{3\\frac{5}{10}})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -14",
["typ"] = "krat" },
["render"] = "4\\frac{5}{10} + (-15 \\cdot -14)",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{12}{3\\frac{5}{10}})^2}{4\\frac{5}{10} + (-15 \\cdot -14)}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.72, bodu=116, $$11 \cdot (1\frac{4}{12} - (12 + (-7)) - (-18 \cdot 4\frac{3}{6}))=\textcolor{white}{850\frac{2}{3}}$$return {
["body"] = 116,
["id"] = "zxHlLI_1120_0530",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = 850.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2552,
["jmenovatel"] = 3 },
["render"] = "\\frac{2552}{3}",
["typ"] = "cislo" },
["tex"] = "850\\frac{2}{3}",
["x"] = 850,
["y"] = 2,
["z"] = 3 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.72",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "12 + (-7)",
["typ"] = "plus" },
["render"] = "(12 + (-7))",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{12} - (12 + (-7))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-18 \\cdot 4\\frac{3}{6}",
["typ"] = "krat" },
["render"] = "1\\frac{4}{12} - (12 + (-7)) - (-18 \\cdot 4\\frac{3}{6})",
["typ"] = "minus" },
["render"] = "(1\\frac{4}{12} - (12 + (-7)) - (-18 \\cdot 4\\frac{3}{6}))",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (1\\frac{4}{12} - (12 + (-7)) - (-18 \\cdot 4\\frac{3}{6}))",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.73, bodu=90, $$-7 - 16 + (-14 + (-10 \cdot -12 \cdot 1\frac{1}{6}))=\textcolor{white}{103}$$return {
["body"] = 90,
["id"] = "uOsnh4_1120_0530",
["obtiznost"] = 0.93,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 103,
["jmenovatel"] = 1 },
["render"] = "\\frac{103}{1}",
["typ"] = "cislo" },
["tex"] = "103",
["x"] = 103 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-7 - 16",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -12 \\cdot 1\\frac{1}{6}",
["typ"] = "krat" },
["render"] = "-14 + (-10 \\cdot -12 \\cdot 1\\frac{1}{6})",
["typ"] = "plus" },
["render"] = "-7 - 16 + (-14 + (-10 \\cdot -12 \\cdot 1\\frac{1}{6}))",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.74, bodu=149, $$\frac{9}{12} + 3\frac{1}{4} \cdot 2\frac{3}{12} \cdot 1\frac{2}{9}=\textcolor{white}{9\frac{11}{16}}$$return {
["body"] = 149,
["id"] = "k3vIkv_1120_0530",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = 9.6875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 155,
["jmenovatel"] = 16 },
["render"] = "\\frac{620}{64}",
["typ"] = "cislo" },
["tex"] = "9\\frac{11}{16}",
["x"] = 9,
["y"] = 11,
["z"] = 16 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{9}{12}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} \\cdot 2\\frac{3}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} \\cdot 2\\frac{3}{12} \\cdot 1\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "\\frac{9}{12} + 3\\frac{1}{4} \\cdot 2\\frac{3}{12} \\cdot 1\\frac{2}{9}",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.75, bodu=70, $$(\frac{8 \cdot -15}{(10 - 8)^4 \cdot 5})^3=\textcolor{white}{-3{,}375}$$return {
["body"] = 70,
["id"] = "hP43rW_1120_0530",
["obtiznost"] = 0.7708,
["reseni"] = {
["float"] = -3.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 8 },
["render"] = "\\frac{-27}{8}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{3}{8}",
["tex_float"] = "-3{,}375",
["x"] = -3,
["y"] = 3,
["z"] = 8 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.75",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "8 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 - 8",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(10 - 8)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(10 - 8)^4 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{8 \\cdot -15}{(10 - 8)^4 \\cdot 5}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8 \\cdot -15}{(10 - 8)^4 \\cdot 5})^3",
["typ"] = "mocnina" } }
seed: SvVpykic8D5FVM2lMgkJ_0.76, bodu=152, $$2\frac{3}{12} \cdot 13 + \frac{2\frac{1}{3}}{\frac{2\frac{5}{6}}{14}}=\textcolor{white}{40\frac{53}{68}}$$return {
["body"] = 152,
["id"] = "mCsmwm_1120_0530",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = 40.779411764706,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2773,
["jmenovatel"] = 68 },
["render"] = "\\frac{2773}{68}",
["typ"] = "cislo" },
["tex"] = "40\\frac{53}{68}",
["x"] = 40,
["y"] = 53,
["z"] = 68 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{6}}{14}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{1}{3}}{\\frac{2\\frac{5}{6}}{14}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{12} \\cdot 13 + \\frac{2\\frac{1}{3}}{\\frac{2\\frac{5}{6}}{14}}",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.77, bodu=154, $$\frac{10}{2\frac{5}{10} + \frac{4\frac{5}{12}}{2\frac{2}{3}}} \cdot 12=\textcolor{white}{28\frac{116}{133}}$$return {
["body"] = 154,
["id"] = "tJf91D_1120_0530",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = 28.872180451128,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3840,
["jmenovatel"] = 133 },
["render"] = "\\frac{3840}{133}",
["typ"] = "cislo" },
["tex"] = "28\\frac{116}{133}",
["x"] = 28,
["y"] = 116,
["z"] = 133 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{12}}{2\\frac{2}{3}}",
["typ"] = "lomeno" },
["render"] = "2\\frac{5}{10} + \\frac{4\\frac{5}{12}}{2\\frac{2}{3}}",
["typ"] = "plus" },
["render"] = "\\frac{10}{2\\frac{5}{10} + \\frac{4\\frac{5}{12}}{2\\frac{2}{3}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{10}{2\\frac{5}{10} + \\frac{4\\frac{5}{12}}{2\\frac{2}{3}}} \\cdot 12",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.78, bodu=92, $$\frac{(12 - (9 + 12 + 11))^2}{(\frac{-18}{9})^4}=\textcolor{white}{25}$$return {
["body"] = 92,
["id"] = "Zd7bSq_1120_0530",
["obtiznost"] = 0.9472,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 1 },
["render"] = "\\frac{400}{16}",
["typ"] = "cislo" },
["tex"] = "25",
["tex_float"] = "25",
["x"] = 25 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.78",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "9 + 12 + 11",
["typ"] = "plus" },
["render"] = "(9 + 12 + 11)",
["typ"] = "zavorka" },
["render"] = "12 - (9 + 12 + 11)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - (9 + 12 + 11))^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-18}{9})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{(12 - (9 + 12 + 11))^2}{(\\frac{-18}{9})^4}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.79, bodu=157, $$\frac{\frac{1\frac{5}{12}}{13} \cdot (-10 + 1\frac{4}{13})}{3\frac{3}{7}}=\textcolor{white}{-\frac{13447}{48672}}$$return {
["body"] = 157,
["id"] = "9h9Wq1_1120_0530",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -0.27627794214333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13447,
["jmenovatel"] = 48672 },
["render"] = "\\frac{-13447}{48672}",
["typ"] = "cislo" },
["tex"] = "-\\frac{13447}{48672}",
["y"] = -13447,
["z"] = 48672 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{12}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "-10 + 1\\frac{4}{13}",
["typ"] = "plus" },
["render"] = "(-10 + 1\\frac{4}{13})",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{5}{12}}{13} \\cdot (-10 + 1\\frac{4}{13})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{5}{12}}{13} \\cdot (-10 + 1\\frac{4}{13})}{3\\frac{3}{7}}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.8, bodu=129, $$(-13 + 16)^3 + \frac{\frac{-15}{2\frac{4}{6}}}{-18 - (-10)} - 4\frac{4}{10}=\textcolor{white}{23\frac{97}{320}}$$return {
["body"] = 129,
["id"] = "sa8nM2_1120_0530",
["obtiznost"] = 1.2112,
["reseni"] = {
["float"] = 23.303125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7457,
["jmenovatel"] = 320 },
["render"] = "\\frac{7457}{320}",
["typ"] = "cislo" },
["tex"] = "23\\frac{97}{320}",
["x"] = 23,
["y"] = 97,
["z"] = 320 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-13 + 16",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-13 + 16)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{2\\frac{4}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-18 - (-10)",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-15}{2\\frac{4}{6}}}{-18 - (-10)}",
["typ"] = "lomeno" },
["render"] = "(-13 + 16)^3 + \\frac{\\frac{-15}{2\\frac{4}{6}}}{-18 - (-10)}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(-13 + 16)^3 + \\frac{\\frac{-15}{2\\frac{4}{6}}}{-18 - (-10)} - 4\\frac{4}{10}",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.81, bodu=160, $$4\frac{5}{10} - (-14 + 2\frac{5}{9} + 6) + \frac{10}{15 \cdot 2\frac{5}{10}}=\textcolor{white}{10\frac{19}{90}}$$return {
["body"] = 160,
["id"] = "YZZPIO_1120_0530",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = 10.211111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 919,
["jmenovatel"] = 90 },
["render"] = "\\frac{2757}{270}",
["typ"] = "cislo" },
["tex"] = "10\\frac{19}{90}",
["x"] = 10,
["y"] = 19,
["z"] = 90 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-14 + 2\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-14 + 2\\frac{5}{9} + 6",
["typ"] = "plus" },
["render"] = "(-14 + 2\\frac{5}{9} + 6)",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{10} - (-14 + 2\\frac{5}{9} + 6)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "15 \\cdot 2\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "\\frac{10}{15 \\cdot 2\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{5}{10} - (-14 + 2\\frac{5}{9} + 6) + \\frac{10}{15 \\cdot 2\\frac{5}{10}}",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.82, bodu=185, $$\frac{4\frac{4}{10} + 12}{9 \cdot -7 + 15 + (11 + 3\frac{5}{10})^2 - 17}=\textcolor{white}{\frac{328}{2905}}$$return {
["body"] = 185,
["id"] = "sQ43Ad_1120_0530",
["obtiznost"] = 1.558,
["reseni"] = {
["float"] = 0.11290877796902,
["objekt"] = {
["hodnota"] = {
["citatel"] = 328,
["jmenovatel"] = 2905 },
["render"] = "\\frac{328}{2905}",
["typ"] = "cislo" },
["tex"] = "\\frac{328}{2905}",
["y"] = 328,
["z"] = 2905 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "9 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "11 + 3\\frac{5}{10}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + 3\\frac{5}{10})^2",
["typ"] = "mocnina" },
["render"] = "15 + (11 + 3\\frac{5}{10})^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "15 + (11 + 3\\frac{5}{10})^2 - 17",
["typ"] = "minus" },
["render"] = "9 \\cdot -7 + 15 + (11 + 3\\frac{5}{10})^2 - 17",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{4}{10} + 12}{9 \\cdot -7 + 15 + (11 + 3\\frac{5}{10})^2 - 17}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.83, bodu=104, $$\frac{-5 + \frac{\frac{11}{-20}}{1\frac{2}{2}}}{3\frac{5}{11} - (-11)}=\textcolor{white}{-\frac{2321}{6360}}$$return {
["body"] = 104,
["id"] = "PQMcZl_1120_0530",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = -0.36493710691824,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2321,
["jmenovatel"] = 6360 },
["render"] = "\\frac{-2321}{6360}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2321}{6360}",
["y"] = -2321,
["z"] = 6360 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-20}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{2}{2}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{-20}}{1\\frac{2}{2}}",
["typ"] = "lomeno" },
["render"] = "-5 + \\frac{\\frac{11}{-20}}{1\\frac{2}{2}}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} - (-11)",
["typ"] = "minus" },
["render"] = "\\frac{-5 + \\frac{\\frac{11}{-20}}{1\\frac{2}{2}}}{3\\frac{5}{11} - (-11)}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.84, bodu=134, $$1\frac{2}{8} \cdot 15 + \frac{16 - (4 - 2\frac{5}{9})}{16}=\textcolor{white}{19\frac{95}{144}}$$return {
["body"] = 134,
["id"] = "eeQHHC_1120_0530",
["obtiznost"] = 1.24,
["reseni"] = {
["float"] = 19.659722222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2831,
["jmenovatel"] = 144 },
["render"] = "\\frac{11324}{576}",
["typ"] = "cislo" },
["tex"] = "19\\frac{95}{144}",
["x"] = 19,
["y"] = 95,
["z"] = 144 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "4 - 2\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(4 - 2\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "16 - (4 - 2\\frac{5}{9})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{16 - (4 - 2\\frac{5}{9})}{16}",
["typ"] = "lomeno" },
["render"] = "1\\frac{2}{8} \\cdot 15 + \\frac{16 - (4 - 2\\frac{5}{9})}{16}",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.85, bodu=167, $$\frac{1\frac{4}{9}}{1\frac{3}{11}} \cdot 14 + 1\frac{3}{7} \cdot 5 - 9=\textcolor{white}{14\frac{2}{63}}$$return {
["body"] = 167,
["id"] = "Zn5ixQ_1120_0530",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = 14.031746031746,
["objekt"] = {
["hodnota"] = {
["citatel"] = 884,
["jmenovatel"] = 63 },
["render"] = "\\frac{884}{63}",
["typ"] = "cislo" },
["tex"] = "14\\frac{2}{63}",
["x"] = 14,
["y"] = 2,
["z"] = 63 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{1\\frac{3}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{9}}{1\\frac{3}{11}} \\cdot 14",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{7} \\cdot 5 - 9",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{4}{9}}{1\\frac{3}{11}} \\cdot 14 + 1\\frac{3}{7} \\cdot 5 - 9",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.86, bodu=137, $$(3\frac{3}{8} - 11) \cdot (\frac{-6 + (-9)}{8} - 1\frac{1}{8})=\textcolor{white}{22{,}875}$$return {
["body"] = 137,
["id"] = "9v0R2O_1120_0530",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = 22.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 183,
["jmenovatel"] = 8 },
["render"] = "\\frac{183}{8}",
["typ"] = "cislo" },
["tex"] = "22\\frac{7}{8}",
["tex_float"] = "22{,}875",
["x"] = 22,
["y"] = 7,
["z"] = 8 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.86",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} - 11",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{8} - 11)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-6 + (-9)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-6 + (-9)}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-6 + (-9)}{8} - 1\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "(\\frac{-6 + (-9)}{8} - 1\\frac{1}{8})",
["typ"] = "zavorka" },
["render"] = "(3\\frac{3}{8} - 11) \\cdot (\\frac{-6 + (-9)}{8} - 1\\frac{1}{8})",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.87, bodu=240, $$(4\frac{3}{13} + 3\frac{3}{8} - \frac{-16}{1\frac{4}{6}}) \cdot \frac{3\frac{5}{14}}{4\frac{2}{8}}=\textcolor{white}{13\frac{18289}{30940}}$$return {
["body"] = 240,
["id"] = "RdPziJ_1120_0530",
["obtiznost"] = 1.87,
["reseni"] = {
["float"] = 13.591111829347,
["objekt"] = {
["hodnota"] = {
["citatel"] = 420509,
["jmenovatel"] = 30940 },
["render"] = "\\frac{841018}{61880}",
["typ"] = "cislo" },
["tex"] = "13\\frac{18289}{30940}",
["x"] = 13,
["y"] = 18289,
["z"] = 30940 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.87",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 13 },
["render"] = "4\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{1\\frac{4}{6}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{3}{8} - \\frac{-16}{1\\frac{4}{6}}",
["typ"] = "minus" },
["render"] = "4\\frac{3}{13} + 3\\frac{3}{8} - \\frac{-16}{1\\frac{4}{6}}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{13} + 3\\frac{3}{8} - \\frac{-16}{1\\frac{4}{6}})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{14}}{4\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{3}{13} + 3\\frac{3}{8} - \\frac{-16}{1\\frac{4}{6}}) \\cdot \\frac{3\\frac{5}{14}}{4\\frac{2}{8}}",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.88, bodu=84, $$\frac{3\frac{4}{4}}{\frac{13}{15}} \cdot -4 \cdot -4=\textcolor{white}{73\frac{11}{13}}$$return {
["body"] = 84,
["id"] = "hpiECT_1120_0530",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = 73.846153846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = 960,
["jmenovatel"] = 13 },
["render"] = "\\frac{960}{13}",
["typ"] = "cislo" },
["tex"] = "73\\frac{11}{13}",
["x"] = 73,
["y"] = 11,
["z"] = 13 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.88",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{13}{15}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{4}{4}}{\\frac{13}{15}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-4 \\cdot -4",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{4}{4}}{\\frac{13}{15}} \\cdot -4 \\cdot -4",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.89, bodu=112, $$\frac{7}{17} - (\frac{12}{15} - (-3 \cdot 3\frac{2}{9}))=\textcolor{white}{-10\frac{14}{255}}$$return {
["body"] = 112,
["id"] = "HnzawI_1120_0530",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = -10.054901960784,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2564,
["jmenovatel"] = 255 },
["render"] = "\\frac{-2564}{255}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{14}{255}",
["x"] = -10,
["y"] = 14,
["z"] = 255 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{7}{17}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{12}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "-3 \\cdot 3\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "\\frac{12}{15} - (-3 \\cdot 3\\frac{2}{9})",
["typ"] = "minus" },
["render"] = "(\\frac{12}{15} - (-3 \\cdot 3\\frac{2}{9}))",
["typ"] = "zavorka" },
["render"] = "\\frac{7}{17} - (\\frac{12}{15} - (-3 \\cdot 3\\frac{2}{9}))",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.9, bodu=281, $$\frac{4\frac{1}{7} + 3\frac{1}{5}}{1\frac{1}{6} \cdot ((\frac{3\frac{4}{7}}{-15})^2 - 1\frac{5}{10})}=\textcolor{white}{-4\frac{2296}{6365}}$$return {
["body"] = 281,
["id"] = "dEVp9L_1120_0530",
["obtiznost"] = 2.0864,
["reseni"] = {
["float"] = -4.3607227022781,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27756,
["jmenovatel"] = 6365 },
["render"] = "\\frac{194292}{-44555}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{2296}{6365}",
["x"] = -4,
["y"] = 2296,
["z"] = 6365 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} + 3\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{7}}{-15}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{4}{7}}{-15})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "(\\frac{3\\frac{4}{7}}{-15})^2 - 1\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "((\\frac{3\\frac{4}{7}}{-15})^2 - 1\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{6} \\cdot ((\\frac{3\\frac{4}{7}}{-15})^2 - 1\\frac{5}{10})",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{1}{7} + 3\\frac{1}{5}}{1\\frac{1}{6} \\cdot ((\\frac{3\\frac{4}{7}}{-15})^2 - 1\\frac{5}{10})}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.91, bodu=176, $$1\frac{2}{7} \cdot (\frac{15 \cdot -16}{2\frac{1}{4}} - \frac{12}{2\frac{3}{6}})=\textcolor{white}{-143\frac{11}{35}}$$return {
["body"] = 176,
["id"] = "2gKuB0_1120_0530",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = -143.31428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5016,
["jmenovatel"] = 35 },
["render"] = "\\frac{-15048}{105}",
["typ"] = "cislo" },
["tex"] = "-143\\frac{11}{35}",
["x"] = -143,
["y"] = 11,
["z"] = 35 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.91",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "15 \\cdot -16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{15 \\cdot -16}{2\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{2\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{15 \\cdot -16}{2\\frac{1}{4}} - \\frac{12}{2\\frac{3}{6}}",
["typ"] = "minus" },
["render"] = "(\\frac{15 \\cdot -16}{2\\frac{1}{4}} - \\frac{12}{2\\frac{3}{6}})",
["typ"] = "zavorka" },
["render"] = "1\\frac{2}{7} \\cdot (\\frac{15 \\cdot -16}{2\\frac{1}{4}} - \\frac{12}{2\\frac{3}{6}})",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.92, bodu=116, $$-11 + \frac{3\frac{4}{14}}{14} - 13 - 14 \cdot 10=\textcolor{white}{-163\frac{75}{98}}$$return {
["body"] = 116,
["id"] = "lKSibI_1120_0530",
["obtiznost"] = 1.12,
["reseni"] = {
["float"] = -163.76530612245,
["objekt"] = {
["hodnota"] = {
["citatel"] = -16049,
["jmenovatel"] = 98 },
["render"] = "\\frac{-16049}{98}",
["typ"] = "cislo" },
["tex"] = "-163\\frac{75}{98}",
["x"] = -163,
["y"] = 75,
["z"] = 98 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{14}}{14}",
["typ"] = "lomeno" },
["render"] = "-11 + \\frac{3\\frac{4}{14}}{14}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-11 + \\frac{3\\frac{4}{14}}{14} - 13",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "14 \\cdot 10",
["typ"] = "krat" },
["render"] = "-11 + \\frac{3\\frac{4}{14}}{14} - 13 - 14 \\cdot 10",
["typ"] = "minus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.93, bodu=251, $$\frac{3\frac{5}{14} \cdot 6 + 2\frac{3}{5}}{1\frac{2}{8} - 4\frac{3}{7} - (-9) + 2\frac{2}{4}}=\textcolor{white}{2\frac{854}{1165}}$$return {
["body"] = 251,
["id"] = "QEY0bO_1120_0530",
["obtiznost"] = 1.93,
["reseni"] = {
["float"] = 2.7330472103004,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3184,
["jmenovatel"] = 1165 },
["render"] = "\\frac{22288}{8155}",
["typ"] = "cislo" },
["tex"] = "2\\frac{854}{1165}",
["x"] = 2,
["y"] = 854,
["z"] = 1165 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{14} \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{14} \\cdot 6 + 2\\frac{3}{5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} - 4\\frac{3}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} - 4\\frac{3}{7} - (-9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{8} - 4\\frac{3}{7} - (-9) + 2\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{5}{14} \\cdot 6 + 2\\frac{3}{5}}{1\\frac{2}{8} - 4\\frac{3}{7} - (-9) + 2\\frac{2}{4}}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.94, bodu=181, $$-20 + (-12) + 4\frac{1}{6} + \frac{\frac{4\frac{2}{12}}{-16}}{3\frac{3}{7}} + 8=\textcolor{white}{-19\frac{2095}{2304}}$$return {
["body"] = 181,
["id"] = "35KCQf_1120_0530",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -19.909288194444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -45871,
["jmenovatel"] = 2304 },
["render"] = "\\frac{-275226}{13824}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{2095}{2304}",
["x"] = -19,
["y"] = 2095,
["z"] = 2304 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-20 + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-20 + (-12) + 4\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{12}}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{2}{12}}{-16}}{3\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{2}{12}}{-16}}{3\\frac{3}{7}} + 8",
["typ"] = "plus" },
["render"] = "-20 + (-12) + 4\\frac{1}{6} + \\frac{\\frac{4\\frac{2}{12}}{-16}}{3\\frac{3}{7}} + 8",
["typ"] = "plus" } }
seed: SvVpykic8D5FVM2lMgkJ_0.95, bodu=151, $$8 \cdot (3\frac{3}{10} + \frac{15}{11} - (12 - 4\frac{1}{8}))=\textcolor{white}{-25\frac{38}{55}}$$return {
["body"] = 151,
["id"] = "8MyASH_1120_0530",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -25.690909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1413,
["jmenovatel"] = 55 },
["render"] = "\\frac{-11304}{440}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{38}{55}",
["x"] = -25,
["y"] = 38,
["z"] = 55 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{15}{11}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "12 - 4\\frac{1}{8}",
["typ"] = "minus" },
["render"] = "(12 - 4\\frac{1}{8})",
["typ"] = "zavorka" },
["render"] = "\\frac{15}{11} - (12 - 4\\frac{1}{8})",
["typ"] = "minus" },
["render"] = "3\\frac{3}{10} + \\frac{15}{11} - (12 - 4\\frac{1}{8})",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{10} + \\frac{15}{11} - (12 - 4\\frac{1}{8}))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (3\\frac{3}{10} + \\frac{15}{11} - (12 - 4\\frac{1}{8}))",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.96, bodu=256, $$\frac{18 \cdot 2\frac{1}{8}}{(4\frac{3}{9} + 4\frac{3}{10}) \cdot 2\frac{3}{12} - 2\frac{3}{6}}=\textcolor{white}{2\frac{176}{677}}$$return {
["body"] = 256,
["id"] = "iOW4cr_1120_0530",
["obtiznost"] = 1.96,
["reseni"] = {
["float"] = 2.2599704579025,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1530,
["jmenovatel"] = 677 },
["render"] = "\\frac{6120}{2708}",
["typ"] = "cislo" },
["tex"] = "2\\frac{176}{677}",
["x"] = 2,
["y"] = 176,
["z"] = 677 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "18 \\cdot 2\\frac{1}{8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} + 4\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{9} + 4\\frac{3}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "(4\\frac{3}{9} + 4\\frac{3}{10}) \\cdot 2\\frac{3}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "(4\\frac{3}{9} + 4\\frac{3}{10}) \\cdot 2\\frac{3}{12} - 2\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "\\frac{18 \\cdot 2\\frac{1}{8}}{(4\\frac{3}{9} + 4\\frac{3}{10}) \\cdot 2\\frac{3}{12} - 2\\frac{3}{6}}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.97, bodu=48, $$(-15 - (-13))^2 \cdot (-17 - (20 \cdot 12 - 9))=\textcolor{white}{-992}$$return {
["body"] = 48,
["id"] = "LRxPpM_1120_0530",
["obtiznost"] = 0.972,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -992,
["jmenovatel"] = 1 },
["render"] = "\\frac{-992}{1}",
["typ"] = "cislo" },
["tex"] = "-992",
["x"] = -992 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.97",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "-15 - (-13)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-15 - (-13))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "20 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "20 \\cdot 12 - 9",
["typ"] = "minus" },
["render"] = "(20 \\cdot 12 - 9)",
["typ"] = "zavorka" },
["render"] = "-17 - (20 \\cdot 12 - 9)",
["typ"] = "minus" },
["render"] = "(-17 - (20 \\cdot 12 - 9))",
["typ"] = "zavorka" },
["render"] = "(-15 - (-13))^2 \\cdot (-17 - (20 \\cdot 12 - 9))",
["typ"] = "krat" } }
seed: SvVpykic8D5FVM2lMgkJ_0.98, bodu=188, $$\frac{-10 \cdot 24 + 4\frac{1}{5} - (-15)}{\frac{4\frac{2}{11}}{4\frac{4}{13}}}=\textcolor{white}{-227\frac{29}{65}}$$return {
["body"] = 188,
["id"] = "CmjHTH_1120_0530",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -227.44615384615,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14784,
["jmenovatel"] = 65 },
["render"] = "\\frac{-340032}{1495}",
["typ"] = "cislo" },
["tex"] = "-227\\frac{29}{65}",
["x"] = -227,
["y"] = 29,
["z"] = 65 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "24",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 24",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 24 + 4\\frac{1}{5}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 24 + 4\\frac{1}{5} - (-15)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 11 },
["render"] = "4\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{11}}{4\\frac{4}{13}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-10 \\cdot 24 + 4\\frac{1}{5} - (-15)}{\\frac{4\\frac{2}{11}}{4\\frac{4}{13}}}",
["typ"] = "lomeno" } }
seed: SvVpykic8D5FVM2lMgkJ_0.99, bodu=157, $$(10 \cdot (1\frac{5}{15} - 15) + (-6)) \cdot \frac{4\frac{4}{11}}{4}=\textcolor{white}{-155\frac{7}{11}}$$return {
["body"] = 157,
["id"] = "M93N4T_1120_0530",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -155.63636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1712,
["jmenovatel"] = 11 },
["render"] = "\\frac{-5136}{33}",
["typ"] = "cislo" },
["tex"] = "-155\\frac{7}{11}",
["x"] = -155,
["y"] = 7,
["z"] = 11 },
["seed"] = "SvVpykic8D5FVM2lMgkJ_0.99",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{5}{15}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{15} - 15",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{15} - 15)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (1\\frac{5}{15} - 15)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "10 \\cdot (1\\frac{5}{15} - 15) + (-6)",
["typ"] = "plus" },
["render"] = "(10 \\cdot (1\\frac{5}{15} - 15) + (-6))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{11}}{4}",
["typ"] = "lomeno" },
["render"] = "(10 \\cdot (1\\frac{5}{15} - 15) + (-6)) \\cdot \\frac{4\\frac{4}{11}}{4}",
["typ"] = "krat" } }
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: 