- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: yqkIVleGvsiGSRciD0sc_0, bodu=21, $$(5 - 10)^4 + \frac{-7}{9}=\textcolor{white}{624\frac{2}{9}}$$return {
["body"] = 21,
["id"] = "HPhTAt_0906_2117",
["obtiznost"] = 0.2504,
["reseni"] = {
["float"] = 624.22222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5618,
["jmenovatel"] = 9 },
["render"] = "\\frac{5618}{9}",
["typ"] = "cislo" },
["tex"] = "624\\frac{2}{9}",
["x"] = 624,
["y"] = 2,
["z"] = 9 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "5 - 10",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(5 - 10)^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"] = "\\frac{-7}{9}",
["typ"] = "lomeno" },
["render"] = "(5 - 10)^4 + \\frac{-7}{9}",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.01, bodu=11, $$\frac{5}{6 + (7 + (-6 - 11))^2}=\textcolor{white}{\frac{5}{106}}$$return {
["body"] = 11,
["id"] = "30UQxM_0906_2117",
["obtiznost"] = 0.0504,
["reseni"] = {
["float"] = 0.047169811320755,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 106 },
["render"] = "\\frac{5}{106}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{106}",
["y"] = 5,
["z"] = 106 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.01",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-6 - 11",
["typ"] = "minus" },
["render"] = "7 + (-6 - 11)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + (-6 - 11))^2",
["typ"] = "mocnina" },
["render"] = "6 + (7 + (-6 - 11))^2",
["typ"] = "plus" },
["render"] = "\\frac{5}{6 + (7 + (-6 - 11))^2}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.02, bodu=10, $$8 + \frac{9}{8} + 7=\textcolor{white}{16{,}125}$$return {
["body"] = 10,
["id"] = "U6XcNo_0906_2117",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = 16.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 129,
["jmenovatel"] = 8 },
["render"] = "\\frac{129}{8}",
["typ"] = "cislo" },
["tex"] = "16\\frac{1}{8}",
["tex_float"] = "16{,}125",
["x"] = 16,
["y"] = 1,
["z"] = 8 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.02",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{9}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{9}{8} + 7",
["typ"] = "plus" },
["render"] = "8 + \\frac{9}{8} + 7",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.03, bodu=10, $$(6 - 3)^2 + \frac{7}{9}=\textcolor{white}{9\frac{7}{9}}$$return {
["body"] = 10,
["id"] = "FopIiG_0906_2117",
["obtiznost"] = 0.034,
["reseni"] = {
["float"] = 9.7777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 88,
["jmenovatel"] = 9 },
["render"] = "\\frac{88}{9}",
["typ"] = "cislo" },
["tex"] = "9\\frac{7}{9}",
["x"] = 9,
["y"] = 7,
["z"] = 9 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.03",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "6 - 3",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - 3)^2",
["typ"] = "mocnina" },
["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"] = "(6 - 3)^2 + \\frac{7}{9}",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.04, bodu=5, $$11 \cdot 10 \cdot (-4 - (-5))=\textcolor{white}{110}$$return {
["body"] = 5,
["id"] = "p30wnQ_0906_2117",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 110,
["jmenovatel"] = 1 },
["render"] = "\\frac{110}{1}",
["typ"] = "cislo" },
["tex"] = "110",
["tex_float"] = "110",
["x"] = 110 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-4 - (-5)",
["typ"] = "minus" },
["render"] = "(-4 - (-5))",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (-4 - (-5))",
["typ"] = "krat" },
["render"] = "11 \\cdot 10 \\cdot (-4 - (-5))",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.05, bodu=11, $$\frac{-6}{\frac{3}{6} + 10}=\textcolor{white}{-\frac{4}{7}}$$return {
["body"] = 11,
["id"] = "MkrtQ1_0906_2117",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = -0.57142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 7 },
["render"] = "\\frac{-12}{21}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{7}",
["y"] = -4,
["z"] = 7 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3}{6} + 10",
["typ"] = "plus" },
["render"] = "\\frac{-6}{\\frac{3}{6} + 10}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.06, bodu=17, $$(\frac{9 + 5}{7} + (-9))^3=\textcolor{white}{-343}$$return {
["body"] = 17,
["id"] = "YxEhvg_0906_2117",
["obtiznost"] = 0.1976,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -343,
["jmenovatel"] = 1 },
["render"] = "\\frac{-343}{1}",
["typ"] = "cislo" },
["tex"] = "-343",
["tex_float"] = "-343",
["x"] = -343 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.06",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{9 + 5}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{9 + 5}{7} + (-9)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(\\frac{9 + 5}{7} + (-9))^3",
["typ"] = "mocnina" } }
seed: yqkIVleGvsiGSRciD0sc_0.07, bodu=11, $$(7 + 8) \cdot \frac{9}{7}=\textcolor{white}{19\frac{2}{7}}$$return {
["body"] = 11,
["id"] = "XFeA3x_0906_2117",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 19.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 135,
["jmenovatel"] = 7 },
["render"] = "\\frac{135}{7}",
["typ"] = "cislo" },
["tex"] = "19\\frac{2}{7}",
["x"] = 19,
["y"] = 2,
["z"] = 7 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.07",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "7 + 8",
["typ"] = "plus" },
["render"] = "(7 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{9}{7}",
["typ"] = "lomeno" },
["render"] = "(7 + 8) \\cdot \\frac{9}{7}",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.08, bodu=12, $$\frac{7 - 3}{\frac{8}{11}}=\textcolor{white}{5{,}5}$$return {
["body"] = 12,
["id"] = "3r7gjw_0906_2117",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 5.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 2 },
["render"] = "\\frac{44}{8}",
["typ"] = "cislo" },
["tex"] = "5\\frac{1}{2}",
["tex_float"] = "5{,}5",
["x"] = 5,
["y"] = 1,
["z"] = 2 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "7 - 3",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{8}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{7 - 3}{\\frac{8}{11}}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.09, bodu=12, $$8 \cdot (\frac{7}{7})^4=\textcolor{white}{8}$$return {
["body"] = 12,
["id"] = "lHexUf_0906_2117",
["obtiznost"] = 0.0908,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "\\frac{8}{1}",
["typ"] = "cislo" },
["tex"] = "8",
["tex_float"] = "8",
["x"] = 8 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{7}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{7}{7})^4",
["typ"] = "mocnina" },
["render"] = "8 \\cdot (\\frac{7}{7})^4",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.1, bodu=6, $$10 + 9 - (10 - 7)=\textcolor{white}{16}$$return {
["body"] = 6,
["id"] = "43LLCC_0906_2117",
["obtiznost"] = 0.1,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "\\frac{16}{1}",
["typ"] = "cislo" },
["tex"] = "16",
["x"] = 16 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "10 - 7",
["typ"] = "minus" },
["render"] = "(10 - 7)",
["typ"] = "zavorka" },
["render"] = "9 - (10 - 7)",
["typ"] = "minus" },
["render"] = "10 + 9 - (10 - 7)",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.11, bodu=13, $$\frac{7}{-6 \cdot (6 - 5)}=\textcolor{white}{-1\frac{1}{6}}$$return {
["body"] = 13,
["id"] = "wkgcHi_0906_2117",
["obtiznost"] = 0.11,
["reseni"] = {
["float"] = -1.1666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 6 },
["render"] = "\\frac{7}{-6}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{6}",
["x"] = -1,
["y"] = 1,
["z"] = 6 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 - 5",
["typ"] = "minus" },
["render"] = "(6 - 5)",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (6 - 5)",
["typ"] = "krat" },
["render"] = "\\frac{7}{-6 \\cdot (6 - 5)}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.12, bodu=6, $$9 \cdot 3 \cdot 8=\textcolor{white}{216}$$return {
["body"] = 6,
["id"] = "PK9t8Z_0906_2117",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 216,
["jmenovatel"] = 1 },
["render"] = "\\frac{216}{1}",
["typ"] = "cislo" },
["tex"] = "216",
["tex_float"] = "216",
["x"] = 216 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3 \\cdot 8",
["typ"] = "krat" },
["render"] = "9 \\cdot 3 \\cdot 8",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.13, bodu=14, $$3 - (5 - \frac{6}{7})=\textcolor{white}{-1\frac{1}{7}}$$return {
["body"] = 14,
["id"] = "sibLzV_0906_2117",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = -1.1428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 7 },
["render"] = "\\frac{-8}{7}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1}{7}",
["x"] = -1,
["y"] = 1,
["z"] = 7 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{6}{7}",
["typ"] = "lomeno" },
["render"] = "5 - \\frac{6}{7}",
["typ"] = "minus" },
["render"] = "(5 - \\frac{6}{7})",
["typ"] = "zavorka" },
["render"] = "3 - (5 - \\frac{6}{7})",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.14, bodu=27, $$(7 + 7) \cdot 4 \cdot 2\frac{5}{6}=\textcolor{white}{158\frac{2}{3}}$$return {
["body"] = 27,
["id"] = "8h8uUl_0906_2117",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 158.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 476,
["jmenovatel"] = 3 },
["render"] = "\\frac{952}{6}",
["typ"] = "cislo" },
["tex"] = "158\\frac{2}{3}",
["x"] = 158,
["y"] = 2,
["z"] = 3 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.14",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 + 7",
["typ"] = "plus" },
["render"] = "(7 + 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(7 + 7) \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "(7 + 7) \\cdot 4 \\cdot 2\\frac{5}{6}",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.15, bodu=15, $$(\frac{11}{-9} + 5) \cdot 8=\textcolor{white}{30\frac{2}{9}}$$return {
["body"] = 15,
["id"] = "iRRgbg_0906_2117",
["obtiznost"] = 0.15,
["reseni"] = {
["float"] = 30.222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 272,
["jmenovatel"] = 9 },
["render"] = "\\frac{272}{9}",
["typ"] = "cislo" },
["tex"] = "30\\frac{2}{9}",
["x"] = 30,
["y"] = 2,
["z"] = 9 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.15",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-9} + 5",
["typ"] = "plus" },
["render"] = "(\\frac{11}{-9} + 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(\\frac{11}{-9} + 5) \\cdot 8",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.16, bodu=15, $$\frac{8 + 7}{10} + 9=\textcolor{white}{10{,}5}$$return {
["body"] = 15,
["id"] = "KSqYM9_0906_2117",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = 10.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 2 },
["render"] = "\\frac{21}{2}",
["typ"] = "cislo" },
["tex"] = "10\\frac{1}{2}",
["tex_float"] = "10{,}5",
["x"] = 10,
["y"] = 1,
["z"] = 2 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 7}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8 + 7}{10} + 9",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.17, bodu=16, $$-4 - \frac{-9}{-7 - (-8)}=\textcolor{white}{5}$$return {
["body"] = 16,
["id"] = "7PEza7_0906_2117",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "\\frac{5}{1}",
["typ"] = "cislo" },
["tex"] = "5",
["x"] = 5 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-7 - (-8)",
["typ"] = "minus" },
["render"] = "\\frac{-9}{-7 - (-8)}",
["typ"] = "lomeno" },
["render"] = "-4 - \\frac{-9}{-7 - (-8)}",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.18, bodu=16, $$\frac{6}{(10 + 9) \cdot -12}=\textcolor{white}{-\frac{1}{38}}$$return {
["body"] = 16,
["id"] = "DyIGtm_0906_2117",
["obtiznost"] = 0.18,
["reseni"] = {
["float"] = -0.026315789473684,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1,
["jmenovatel"] = 38 },
["render"] = "\\frac{6}{-228}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1}{38}",
["y"] = -1,
["z"] = 38 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 + 9",
["typ"] = "plus" },
["render"] = "(10 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(10 + 9) \\cdot -12",
["typ"] = "krat" },
["render"] = "\\frac{6}{(10 + 9) \\cdot -12}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.19, bodu=31, $$\frac{-13 - 7 \cdot 6}{4\frac{3}{9}}=\textcolor{white}{-12\frac{9}{13}}$$return {
["body"] = 31,
["id"] = "DAZ07X_0906_2117",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -12.692307692308,
["objekt"] = {
["hodnota"] = {
["citatel"] = -165,
["jmenovatel"] = 13 },
["render"] = "\\frac{-165}{13}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{9}{13}",
["x"] = -12,
["y"] = 9,
["z"] = 13 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot 6",
["typ"] = "krat" },
["render"] = "-13 - 7 \\cdot 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-13 - 7 \\cdot 6}{4\\frac{3}{9}}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.2, bodu=26, $$2 \cdot (\frac{-5 - 11}{7})^2=\textcolor{white}{10\frac{22}{49}}$$return {
["body"] = 26,
["id"] = "3iNG7N_0906_2117",
["obtiznost"] = 0.322,
["reseni"] = {
["float"] = 10.448979591837,
["objekt"] = {
["hodnota"] = {
["citatel"] = 512,
["jmenovatel"] = 49 },
["render"] = "\\frac{512}{49}",
["typ"] = "cislo" },
["tex"] = "10\\frac{22}{49}",
["x"] = 10,
["y"] = 22,
["z"] = 49 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-5 - 11}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-5 - 11}{7})^2",
["typ"] = "mocnina" },
["render"] = "2 \\cdot (\\frac{-5 - 11}{7})^2",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.21, bodu=18, $$\frac{10}{\frac{10 - 10}{4 + 9} + 3}=\textcolor{white}{3\frac{1}{3}}$$return {
["body"] = 18,
["id"] = "0usRjl_0906_2117",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = 3.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "\\frac{10}{3}",
["typ"] = "cislo" },
["tex"] = "3\\frac{1}{3}",
["x"] = 3,
["y"] = 1,
["z"] = 3 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.21",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 - 10",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 + 9",
["typ"] = "plus" },
["render"] = "\\frac{10 - 10}{4 + 9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{10 - 10}{4 + 9} + 3",
["typ"] = "plus" },
["render"] = "\\frac{10}{\\frac{10 - 10}{4 + 9} + 3}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.22, bodu=19, $$8 \cdot 9 \cdot \frac{11}{8}=\textcolor{white}{99}$$return {
["body"] = 19,
["id"] = "INwaRn_0906_2117",
["obtiznost"] = 0.22,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 99,
["jmenovatel"] = 1 },
["render"] = "\\frac{792}{8}",
["typ"] = "cislo" },
["tex"] = "99",
["tex_float"] = "99",
["x"] = 99 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{11}{8}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot 9 \\cdot \\frac{11}{8}",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.23, bodu=35, $$\frac{-11}{12 - 2\frac{2}{5}} \cdot (12 + (-10))=\textcolor{white}{-2\frac{7}{24}}$$return {
["body"] = 35,
["id"] = "VW8zLL_0906_2117",
["obtiznost"] = 0.43,
["reseni"] = {
["float"] = -2.2916666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -55,
["jmenovatel"] = 24 },
["render"] = "\\frac{-110}{48}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{7}{24}",
["x"] = -2,
["y"] = 7,
["z"] = 24 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "12 - 2\\frac{2}{5}",
["typ"] = "minus" },
["render"] = "\\frac{-11}{12 - 2\\frac{2}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "12 + (-10)",
["typ"] = "plus" },
["render"] = "(12 + (-10))",
["typ"] = "zavorka" },
["render"] = "\\frac{-11}{12 - 2\\frac{2}{5}} \\cdot (12 + (-10))",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.24, bodu=21, $$(\frac{8 - 11}{(\frac{8}{8})^4})^3=\textcolor{white}{-27}$$return {
["body"] = 21,
["id"] = "7oNWe6_0906_2117",
["obtiznost"] = 0.252,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -27,
["jmenovatel"] = 1 },
["render"] = "\\frac{-27}{1}",
["typ"] = "cislo" },
["tex"] = "-27",
["tex_float"] = "-27",
["x"] = -27 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.24",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 - 11",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{8}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{8}{8})^4",
["typ"] = "mocnina" },
["render"] = "\\frac{8 - 11}{(\\frac{8}{8})^4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{8 - 11}{(\\frac{8}{8})^4})^3",
["typ"] = "mocnina" } }
seed: yqkIVleGvsiGSRciD0sc_0.25, bodu=22, $$11 + \frac{(10 + 5 - 8)^2}{8}=\textcolor{white}{17{,}125}$$return {
["body"] = 22,
["id"] = "pbEacu_0906_2117",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = 17.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 137,
["jmenovatel"] = 8 },
["render"] = "\\frac{137}{8}",
["typ"] = "cislo" },
["tex"] = "17\\frac{1}{8}",
["tex_float"] = "17{,}125",
["x"] = 17,
["y"] = 1,
["z"] = 8 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["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"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 - 8",
["typ"] = "minus" },
["render"] = "10 + 5 - 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + 5 - 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(10 + 5 - 8)^2}{8}",
["typ"] = "lomeno" },
["render"] = "11 + \\frac{(10 + 5 - 8)^2}{8}",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.26, bodu=10, $$6 + 12 - 3 + (-9 \cdot -6)=\textcolor{white}{69}$$return {
["body"] = 10,
["id"] = "cM9tf7_0906_2117",
["obtiznost"] = 0.26,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 69,
["jmenovatel"] = 1 },
["render"] = "\\frac{69}{1}",
["typ"] = "cislo" },
["tex"] = "69",
["tex_float"] = "69",
["x"] = 69 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "12 - 3",
["typ"] = "minus" },
["render"] = "6 + 12 - 3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -6",
["typ"] = "krat" },
["render"] = "6 + 12 - 3 + (-9 \\cdot -6)",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.27, bodu=40, $$\frac{-7}{10} + (\frac{7}{4\frac{2}{3}})^3=\textcolor{white}{2{,}675}$$return {
["body"] = 40,
["id"] = "cqg41i_0906_2117",
["obtiznost"] = 0.484,
["reseni"] = {
["float"] = 2.675,
["objekt"] = {
["hodnota"] = {
["citatel"] = 107,
["jmenovatel"] = 40 },
["render"] = "\\frac{214}{80}",
["typ"] = "cislo" },
["tex"] = "2\\frac{27}{40}",
["tex_float"] = "2{,}675",
["x"] = 2,
["y"] = 27,
["z"] = 40 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{10}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{7}{4\\frac{2}{3}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{4\\frac{2}{3}})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-7}{10} + (\\frac{7}{4\\frac{2}{3}})^3",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.28, bodu=13, $$(10 \cdot (12 + (-11)))^2 \cdot 7=\textcolor{white}{700}$$return {
["body"] = 13,
["id"] = "mjzYkj_0906_2117",
["obtiznost"] = 0.3204,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 700,
["jmenovatel"] = 1 },
["render"] = "\\frac{700}{1}",
["typ"] = "cislo" },
["tex"] = "700",
["x"] = 700 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.28",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "12 + (-11)",
["typ"] = "plus" },
["render"] = "(12 + (-11))",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (12 + (-11))",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(10 \\cdot (12 + (-11)))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(10 \\cdot (12 + (-11)))^2 \\cdot 7",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.29, bodu=49, $$(3\frac{2}{8} - \frac{(10 - 4)^2}{8})^3=\textcolor{white}{-1\frac{61}{64}}$$return {
["body"] = 49,
["id"] = "YXSynB_0906_2117",
["obtiznost"] = 0.5804,
["reseni"] = {
["float"] = -1.953125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -125,
["jmenovatel"] = 64 },
["render"] = "\\frac{-125}{64}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{61}{64}",
["x"] = -1,
["y"] = 61,
["z"] = 64 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.29",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "10 - 4",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(10 - 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(10 - 4)^2}{8}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{8} - \\frac{(10 - 4)^2}{8}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(3\\frac{2}{8} - \\frac{(10 - 4)^2}{8})^3",
["typ"] = "mocnina" } }
seed: yqkIVleGvsiGSRciD0sc_0.3, bodu=62, $$\frac{(3\frac{3}{5} - (-12)) \cdot 3\frac{2}{5}}{-11}=\textcolor{white}{-4\frac{226}{275}}$$return {
["body"] = 62,
["id"] = "j1Onxf_0906_2117",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -4.8218181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1326,
["jmenovatel"] = 275 },
["render"] = "\\frac{1326}{-275}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{226}{275}",
["x"] = -4,
["y"] = 226,
["z"] = 275 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "3\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{5} - (-12)",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{5} - (-12))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(3\\frac{3}{5} - (-12)) \\cdot 3\\frac{2}{5}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(3\\frac{3}{5} - (-12)) \\cdot 3\\frac{2}{5}}{-11}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.31, bodu=12, $$(6 + 2 - (10 - (13 - 9)))^2=\textcolor{white}{4}$$return {
["body"] = 12,
["id"] = "8cHh5N_0906_2117",
["obtiznost"] = 0.312,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "\\frac{4}{1}",
["typ"] = "cislo" },
["tex"] = "4",
["tex_float"] = "4",
["x"] = 4 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.31",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "6 + 2",
["typ"] = "plus" },
["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"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "13 - 9",
["typ"] = "minus" },
["render"] = "(13 - 9)",
["typ"] = "zavorka" },
["render"] = "10 - (13 - 9)",
["typ"] = "minus" },
["render"] = "(10 - (13 - 9))",
["typ"] = "zavorka" },
["render"] = "6 + 2 - (10 - (13 - 9))",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 + 2 - (10 - (13 - 9)))^2",
["typ"] = "mocnina" } }
seed: yqkIVleGvsiGSRciD0sc_0.32, bodu=43, $$\frac{\frac{9}{1\frac{1}{2} - 7}}{3}=\textcolor{white}{-\frac{6}{11}}$$return {
["body"] = 43,
["id"] = "bdaLxH_0906_2117",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = -0.54545454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 11 },
["render"] = "\\frac{-18}{33}",
["typ"] = "cislo" },
["tex"] = "-\\frac{6}{11}",
["y"] = -6,
["z"] = 11 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{2} - 7",
["typ"] = "minus" },
["render"] = "\\frac{9}{1\\frac{1}{2} - 7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{9}{1\\frac{1}{2} - 7}}{3}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.33, bodu=29, $$\frac{5}{12 \cdot (9 - (9 + (-12))^4)}=\textcolor{white}{-\frac{5}{864}}$$return {
["body"] = 29,
["id"] = "cH65fi_0906_2117",
["obtiznost"] = 0.3628,
["reseni"] = {
["float"] = -0.005787037037037,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 864 },
["render"] = "\\frac{5}{-864}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{864}",
["y"] = -5,
["z"] = 864 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(9 + (-12))^4",
["typ"] = "mocnina" },
["render"] = "9 - (9 + (-12))^4",
["typ"] = "minus" },
["render"] = "(9 - (9 + (-12))^4)",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (9 - (9 + (-12))^4)",
["typ"] = "krat" },
["render"] = "\\frac{5}{12 \\cdot (9 - (9 + (-12))^4)}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.34, bodu=27, $$\frac{-13 + 5}{12 + 6} + (-16)=\textcolor{white}{-16\frac{4}{9}}$$return {
["body"] = 27,
["id"] = "CSXD1x_0906_2117",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = -16.444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -148,
["jmenovatel"] = 9 },
["render"] = "\\frac{-148}{9}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{4}{9}",
["x"] = -16,
["y"] = 4,
["z"] = 9 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-13 + 5",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "12 + 6",
["typ"] = "plus" },
["render"] = "\\frac{-13 + 5}{12 + 6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{-13 + 5}{12 + 6} + (-16)",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.35, bodu=14, $$4 - (11 \cdot 9 + (-12 + 10))=\textcolor{white}{-93}$$return {
["body"] = 14,
["id"] = "zO7CYK_0906_2117",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -93,
["jmenovatel"] = 1 },
["render"] = "\\frac{-93}{1}",
["typ"] = "cislo" },
["tex"] = "-93",
["tex_float"] = "-93",
["x"] = -93 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-12 + 10",
["typ"] = "plus" },
["render"] = "11 \\cdot 9 + (-12 + 10)",
["typ"] = "plus" },
["render"] = "(11 \\cdot 9 + (-12 + 10))",
["typ"] = "zavorka" },
["render"] = "4 - (11 \\cdot 9 + (-12 + 10))",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.36, bodu=29, $$\frac{8}{-12 - 7 \cdot 11}=\textcolor{white}{-\frac{8}{89}}$$return {
["body"] = 29,
["id"] = "SJ8Mwx_0906_2117",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = -0.089887640449438,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 89 },
["render"] = "\\frac{8}{-89}",
["typ"] = "cislo" },
["tex"] = "-\\frac{8}{89}",
["y"] = -8,
["z"] = 89 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.36",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "7 \\cdot 11",
["typ"] = "krat" },
["render"] = "-12 - 7 \\cdot 11",
["typ"] = "minus" },
["render"] = "\\frac{8}{-12 - 7 \\cdot 11}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.37, bodu=70, $$(2\frac{3}{7} + \frac{2\frac{1}{5}}{9}) \cdot (11 - 5)=\textcolor{white}{16\frac{4}{105}}$$return {
["body"] = 70,
["id"] = "ZYQZfj_0906_2117",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = 16.038095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1684,
["jmenovatel"] = 105 },
["render"] = "\\frac{5052}{315}",
["typ"] = "cislo" },
["tex"] = "16\\frac{4}{105}",
["x"] = 16,
["y"] = 4,
["z"] = 105 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.37",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{5}}{9}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{7} + \\frac{2\\frac{1}{5}}{9}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{7} + \\frac{2\\frac{1}{5}}{9})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 - 5",
["typ"] = "minus" },
["render"] = "(11 - 5)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{3}{7} + \\frac{2\\frac{1}{5}}{9}) \\cdot (11 - 5)",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.38, bodu=97, $$2\frac{3}{9} - (3\frac{5}{11} + 10 - (-9 \cdot 3\frac{4}{5}))=\textcolor{white}{-45\frac{53}{165}}$$return {
["body"] = 97,
["id"] = "LJi3e7_0906_2117",
["obtiznost"] = 0.98,
["reseni"] = {
["float"] = -45.321212121212,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7478,
["jmenovatel"] = 165 },
["render"] = "\\frac{-7478}{165}",
["typ"] = "cislo" },
["tex"] = "-45\\frac{53}{165}",
["x"] = -45,
["y"] = 53,
["z"] = 165 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{5}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 3\\frac{4}{5}",
["typ"] = "krat" },
["render"] = "3\\frac{5}{11} + 10 - (-9 \\cdot 3\\frac{4}{5})",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{11} + 10 - (-9 \\cdot 3\\frac{4}{5}))",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{9} - (3\\frac{5}{11} + 10 - (-9 \\cdot 3\\frac{4}{5}))",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.39, bodu=31, $$\frac{9}{-10} \cdot (6 + (-10))=\textcolor{white}{3{,}6}$$return {
["body"] = 31,
["id"] = "yBiqEh_0906_2117",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = 3.6,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 5 },
["render"] = "\\frac{36}{10}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3}{5}",
["tex_float"] = "3{,}6",
["x"] = 3,
["y"] = 3,
["z"] = 5 },
["seed"] = "yqkIVleGvsiGSRciD0sc_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"] = {
["obsah"] = {
["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" },
["render"] = "(6 + (-10))",
["typ"] = "zavorka" },
["render"] = "\\frac{9}{-10} \\cdot (6 + (-10))",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.4, bodu=52, $$(14 \cdot 15 + 4\frac{4}{8}) \cdot (\frac{-16}{-8})^4=\textcolor{white}{3432}$$return {
["body"] = 52,
["id"] = "cQWHbH_0906_2117",
["obtiznost"] = 0.6068,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3432,
["jmenovatel"] = 1 },
["render"] = "\\frac{6864}{2}",
["typ"] = "cislo" },
["tex"] = "3432",
["tex_float"] = "3432",
["x"] = 3432 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.4",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "14 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "14 \\cdot 15 + 4\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "(14 \\cdot 15 + 4\\frac{4}{8})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-16}{-8})^4",
["typ"] = "mocnina" },
["render"] = "(14 \\cdot 15 + 4\\frac{4}{8}) \\cdot (\\frac{-16}{-8})^4",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.41, bodu=36, $$(\frac{-9}{8 - 9})^2 + 12 \cdot 14=\textcolor{white}{249}$$return {
["body"] = 36,
["id"] = "nKjTeY_0906_2117",
["obtiznost"] = 0.4428,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 249,
["jmenovatel"] = 1 },
["render"] = "\\frac{249}{1}",
["typ"] = "cislo" },
["tex"] = "249",
["tex_float"] = "249",
["x"] = 249 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.41",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 - 9",
["typ"] = "minus" },
["render"] = "\\frac{-9}{8 - 9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{8 - 9})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "12 \\cdot 14",
["typ"] = "krat" },
["render"] = "(\\frac{-9}{8 - 9})^2 + 12 \\cdot 14",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.42, bodu=76, $$\frac{2\frac{4}{11}}{\frac{1\frac{3}{7}}{9} \cdot -3 - (-16)}=\textcolor{white}{\frac{273}{1793}}$$return {
["body"] = 76,
["id"] = "3Xwp7D_0906_2117",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = 0.15225878416062,
["objekt"] = {
["hodnota"] = {
["citatel"] = 273,
["jmenovatel"] = 1793 },
["render"] = "\\frac{546}{3586}",
["typ"] = "cislo" },
["tex"] = "\\frac{273}{1793}",
["y"] = 273,
["z"] = 1793 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{9} \\cdot -3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{7}}{9} \\cdot -3 - (-16)",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{4}{11}}{\\frac{1\\frac{3}{7}}{9} \\cdot -3 - (-16)}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.43, bodu=65, $$10 \cdot \frac{-8}{(\frac{1\frac{1}{5}}{9})^2}=\textcolor{white}{-4500}$$return {
["body"] = 65,
["id"] = "rDtE5q_0906_2117",
["obtiznost"] = 0.7216,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -4500,
["jmenovatel"] = 1 },
["render"] = "\\frac{-4500}{1}",
["typ"] = "cislo" },
["tex"] = "-4500",
["tex_float"] = "-4500",
["x"] = -4500 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.43",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{5}}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{1}{5}}{9})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-8}{(\\frac{1\\frac{1}{5}}{9})^2}",
["typ"] = "lomeno" },
["render"] = "10 \\cdot \\frac{-8}{(\\frac{1\\frac{1}{5}}{9})^2}",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.44, bodu=79, $$(3\frac{5}{10} - 2\frac{4}{7}) \cdot 12 + (-7 - 9)=\textcolor{white}{-4\frac{6}{7}}$$return {
["body"] = 79,
["id"] = "wpZ9t8_0906_2117",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -4.8571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -34,
["jmenovatel"] = 7 },
["render"] = "\\frac{-34}{7}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{6}{7}",
["x"] = -4,
["y"] = 6,
["z"] = 7 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} - 2\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{10} - 2\\frac{4}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{10} - 2\\frac{4}{7}) \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-7 - 9",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{10} - 2\\frac{4}{7}) \\cdot 12 + (-7 - 9)",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.45, bodu=57, $$10 - (4\frac{1}{3} \cdot 10 + 13 - (15 + (-17))^2)=\textcolor{white}{-42\frac{1}{3}}$$return {
["body"] = 57,
["id"] = "2PBvI6_0906_2117",
["obtiznost"] = 0.652,
["reseni"] = {
["float"] = -42.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -127,
["jmenovatel"] = 3 },
["render"] = "\\frac{-127}{3}",
["typ"] = "cislo" },
["tex"] = "-42\\frac{1}{3}",
["x"] = -42,
["y"] = 1,
["z"] = 3 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.45",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{3} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "15 + (-17)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(15 + (-17))^2",
["typ"] = "mocnina" },
["render"] = "13 - (15 + (-17))^2",
["typ"] = "minus" },
["render"] = "4\\frac{1}{3} \\cdot 10 + 13 - (15 + (-17))^2",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{3} \\cdot 10 + 13 - (15 + (-17))^2)",
["typ"] = "zavorka" },
["render"] = "10 - (4\\frac{1}{3} \\cdot 10 + 13 - (15 + (-17))^2)",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.46, bodu=42, $$\frac{(-14 - (-9))^3 - 4 \cdot -10}{8}=\textcolor{white}{-10{,}625}$$return {
["body"] = 42,
["id"] = "FRKhpz_0906_2117",
["obtiznost"] = 0.5104,
["reseni"] = {
["float"] = -10.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -85,
["jmenovatel"] = 8 },
["render"] = "\\frac{-85}{8}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{5}{8}",
["tex_float"] = "-10{,}625",
["x"] = -10,
["y"] = 5,
["z"] = 8 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.46",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "-14 - (-9)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-14 - (-9))^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4 \\cdot -10",
["typ"] = "krat" },
["render"] = "(-14 - (-9))^3 - 4 \\cdot -10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{(-14 - (-9))^3 - 4 \\cdot -10}{8}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.47, bodu=38, $$\frac{\frac{7}{11} \cdot -9}{-9}=\textcolor{white}{\frac{7}{11}}$$return {
["body"] = 38,
["id"] = "k1ZxDr_0906_2117",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = 0.63636363636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 11 },
["render"] = "\\frac{-63}{-99}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{11}",
["y"] = 7,
["z"] = 11 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{7}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{11} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{11} \\cdot -9}{-9}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.48, bodu=19, $$9 - (-17) - (8 - (9 - (-11)))=\textcolor{white}{38}$$return {
["body"] = 19,
["id"] = "VTZYNp_0906_2117",
["obtiznost"] = 0.48,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 1 },
["render"] = "\\frac{38}{1}",
["typ"] = "cislo" },
["tex"] = "38",
["tex_float"] = "38",
["x"] = 38 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.48",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "9 - (-17)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "9 - (-11)",
["typ"] = "minus" },
["render"] = "(9 - (-11))",
["typ"] = "zavorka" },
["render"] = "8 - (9 - (-11))",
["typ"] = "minus" },
["render"] = "(8 - (9 - (-11)))",
["typ"] = "zavorka" },
["render"] = "9 - (-17) - (8 - (9 - (-11)))",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.49, bodu=20, $$11 - (-14 \cdot (2 + (-12 - (-14))^2))=\textcolor{white}{95}$$return {
["body"] = 20,
["id"] = "4aItnx_0906_2117",
["obtiznost"] = 0.492,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 95,
["jmenovatel"] = 1 },
["render"] = "\\frac{95}{1}",
["typ"] = "cislo" },
["tex"] = "95",
["x"] = 95 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.49",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-12 - (-14)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-12 - (-14))^2",
["typ"] = "mocnina" },
["render"] = "2 + (-12 - (-14))^2",
["typ"] = "plus" },
["render"] = "(2 + (-12 - (-14))^2)",
["typ"] = "zavorka" },
["render"] = "-14 \\cdot (2 + (-12 - (-14))^2)",
["typ"] = "krat" },
["render"] = "11 - (-14 \\cdot (2 + (-12 - (-14))^2))",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.5, bodu=113, $$\frac{3\frac{3}{6}}{2\frac{2}{8} \cdot (1\frac{3}{7} - 5)} + (-5)=\textcolor{white}{-5\frac{98}{225}}$$return {
["body"] = 113,
["id"] = "EqM7hL_0906_2117",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -5.4355555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1223,
["jmenovatel"] = 225 },
["render"] = "\\frac{-1223}{225}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{98}{225}",
["x"] = -5,
["y"] = 98,
["z"] = 225 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.5",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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} - 5",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{7} - 5)",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{8} \\cdot (1\\frac{3}{7} - 5)",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{3}{6}}{2\\frac{2}{8} \\cdot (1\\frac{3}{7} - 5)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{6}}{2\\frac{2}{8} \\cdot (1\\frac{3}{7} - 5)} + (-5)",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.51, bodu=63, $$-7 + \frac{-11}{3} \cdot (2\frac{1}{5} - (-5))=\textcolor{white}{-33{,}4}$$return {
["body"] = 63,
["id"] = "vBICPq_0906_2117",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = -33.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -167,
["jmenovatel"] = 5 },
["render"] = "\\frac{-167}{5}",
["typ"] = "cislo" },
["tex"] = "-33\\frac{2}{5}",
["tex_float"] = "-33{,}4",
["x"] = -33,
["y"] = 2,
["z"] = 5 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} - (-5)",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{5} - (-5))",
["typ"] = "zavorka" },
["render"] = "\\frac{-11}{3} \\cdot (2\\frac{1}{5} - (-5))",
["typ"] = "krat" },
["render"] = "-7 + \\frac{-11}{3} \\cdot (2\\frac{1}{5} - (-5))",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.52, bodu=64, $$\frac{12 - (-16) + \frac{4\frac{4}{11}}{4\frac{2}{2}}}{12}=\textcolor{white}{2\frac{67}{165}}$$return {
["body"] = 64,
["id"] = "ULXzMb_0906_2117",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = 2.4060606060606,
["objekt"] = {
["hodnota"] = {
["citatel"] = 397,
["jmenovatel"] = 165 },
["render"] = "\\frac{1588}{660}",
["typ"] = "cislo" },
["tex"] = "2\\frac{67}{165}",
["x"] = 2,
["y"] = 67,
["z"] = 165 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "12 - (-16)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 11 },
["render"] = "4\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{2}{2}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{11}}{4\\frac{2}{2}}",
["typ"] = "lomeno" },
["render"] = "12 - (-16) + \\frac{4\\frac{4}{11}}{4\\frac{2}{2}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{12 - (-16) + \\frac{4\\frac{4}{11}}{4\\frac{2}{2}}}{12}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.53, bodu=125, $$\frac{10 + 9 + (1\frac{4}{6} + (-17) + 7)^2}{1\frac{2}{7}}=\textcolor{white}{68\frac{64}{81}}$$return {
["body"] = 125,
["id"] = "FzVEnq_0906_2117",
["obtiznost"] = 1.1836,
["reseni"] = {
["float"] = 68.79012345679,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5572,
["jmenovatel"] = 81 },
["render"] = "\\frac{5572}{81}",
["typ"] = "cislo" },
["tex"] = "68\\frac{64}{81}",
["x"] = 68,
["y"] = 64,
["z"] = 81 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "10 + 9",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} + (-17)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{6} + (-17) + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{4}{6} + (-17) + 7)^2",
["typ"] = "mocnina" },
["render"] = "10 + 9 + (1\\frac{4}{6} + (-17) + 7)^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{10 + 9 + (1\\frac{4}{6} + (-17) + 7)^2}{1\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.54, bodu=22, $$13 \cdot (4 - 12) - (-12 + (-5))=\textcolor{white}{-87}$$return {
["body"] = 22,
["id"] = "0dWwbc_0906_2117",
["obtiznost"] = 0.54,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -87,
["jmenovatel"] = 1 },
["render"] = "\\frac{-87}{1}",
["typ"] = "cislo" },
["tex"] = "-87",
["x"] = -87 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4 - 12",
["typ"] = "minus" },
["render"] = "(4 - 12)",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (4 - 12)",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(-12 + (-5))",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (4 - 12) - (-12 + (-5))",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.55, bodu=46, $$\frac{12 + 4}{\frac{14}{10}} + 18=\textcolor{white}{29\frac{3}{7}}$$return {
["body"] = 46,
["id"] = "NRPGrR_0906_2117",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 29.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 206,
["jmenovatel"] = 7 },
["render"] = "\\frac{206}{7}",
["typ"] = "cislo" },
["tex"] = "29\\frac{3}{7}",
["x"] = 29,
["y"] = 3,
["z"] = 7 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "12 + 4",
["typ"] = "plus" },
["c2"] = {
["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" },
["render"] = "\\frac{12 + 4}{\\frac{14}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{12 + 4}{\\frac{14}{10}} + 18",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.56, bodu=69, $$(4\frac{2}{8} \cdot 5 + 7) \cdot (\frac{-10}{-10})^4=\textcolor{white}{28{,}25}$$return {
["body"] = 69,
["id"] = "bLzOfd_0906_2117",
["obtiznost"] = 0.7608,
["reseni"] = {
["float"] = 28.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 113,
["jmenovatel"] = 4 },
["render"] = "\\frac{113}{4}",
["typ"] = "cislo" },
["tex"] = "28\\frac{1}{4}",
["tex_float"] = "28{,}25",
["x"] = 28,
["y"] = 1,
["z"] = 4 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.56",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{8} \\cdot 5 + 7",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{8} \\cdot 5 + 7)",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-10}{-10})^4",
["typ"] = "mocnina" },
["render"] = "(4\\frac{2}{8} \\cdot 5 + 7) \\cdot (\\frac{-10}{-10})^4",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.57, bodu=95, $$\frac{3\frac{1}{4} - (7 + 7)}{\frac{10}{2\frac{1}{5}}}=\textcolor{white}{-2{,}365}$$return {
["body"] = 95,
["id"] = "ytHla4_0906_2117",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = -2.365,
["objekt"] = {
["hodnota"] = {
["citatel"] = -473,
["jmenovatel"] = 200 },
["render"] = "\\frac{-473}{200}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{73}{200}",
["tex_float"] = "-2{,}365",
["x"] = -2,
["y"] = 73,
["z"] = 200 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 + 7",
["typ"] = "plus" },
["render"] = "(7 + 7)",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{4} - (7 + 7)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{2\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{1}{4} - (7 + 7)}{\\frac{10}{2\\frac{1}{5}}}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.58, bodu=125, $$\frac{-18}{1\frac{5}{10}} - \frac{3\frac{4}{10} + 7}{1\frac{4}{10}}=\textcolor{white}{-19\frac{3}{7}}$$return {
["body"] = 125,
["id"] = "tZJqAk_0906_2117",
["obtiznost"] = 1.18,
["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"] = "yqkIVleGvsiGSRciD0sc_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-18}{1\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{10} + 7}{1\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-18}{1\\frac{5}{10}} - \\frac{3\\frac{4}{10} + 7}{1\\frac{4}{10}}",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.59, bodu=126, $$1\frac{1}{7} - (-14) - (4\frac{5}{14} + 11 - (2\frac{3}{5} - (-9)))=\textcolor{white}{11\frac{27}{70}}$$return {
["body"] = 126,
["id"] = "Ylf9ak_0906_2117",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 11.385714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 797,
["jmenovatel"] = 70 },
["render"] = "\\frac{5579}{490}",
["typ"] = "cislo" },
["tex"] = "11\\frac{27}{70}",
["x"] = 11,
["y"] = 27,
["z"] = 70 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{7} - (-14)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{14} + 11",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} - (-9)",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{5} - (-9))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{14} + 11 - (2\\frac{3}{5} - (-9))",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{14} + 11 - (2\\frac{3}{5} - (-9)))",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{7} - (-14) - (4\\frac{5}{14} + 11 - (2\\frac{3}{5} - (-9)))",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.6, bodu=74, $$15 - \frac{1\frac{4}{6}}{\frac{4 - 11}{10}}=\textcolor{white}{17\frac{8}{21}}$$return {
["body"] = 74,
["id"] = "4tctsg_0906_2117",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = 17.380952380952,
["objekt"] = {
["hodnota"] = {
["citatel"] = 365,
["jmenovatel"] = 21 },
["render"] = "\\frac{365}{21}",
["typ"] = "cislo" },
["tex"] = "17\\frac{8}{21}",
["x"] = 17,
["y"] = 8,
["z"] = 21 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4 - 11}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{4}{6}}{\\frac{4 - 11}{10}}",
["typ"] = "lomeno" },
["render"] = "15 - \\frac{1\\frac{4}{6}}{\\frac{4 - 11}{10}}",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.61, bodu=77, $$(\frac{-12}{-9} + (-4))^3 \cdot 15 + (-10) - 13=\textcolor{white}{-307\frac{4}{9}}$$return {
["body"] = 77,
["id"] = "jrfIOF_0906_2117",
["obtiznost"] = 0.8256,
["reseni"] = {
["float"] = -307.44444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2767,
["jmenovatel"] = 9 },
["render"] = "\\frac{-2767}{9}",
["typ"] = "cislo" },
["tex"] = "-307\\frac{4}{9}",
["x"] = -307,
["y"] = 4,
["z"] = 9 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.61",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-9} + (-4)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(\\frac{-12}{-9} + (-4))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "(\\frac{-12}{-9} + (-4))^3 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(\\frac{-12}{-9} + (-4))^3 \\cdot 15 + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(\\frac{-12}{-9} + (-4))^3 \\cdot 15 + (-10) - 13",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.62, bodu=96, $$4\frac{5}{10} - 12 + 9 + \frac{(\frac{-16}{-11})^2}{9}=\textcolor{white}{1\frac{1601}{2178}}$$return {
["body"] = 96,
["id"] = "AJUyvY_0906_2117",
["obtiznost"] = 0.9708,
["reseni"] = {
["float"] = 1.7350780532599,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3779,
["jmenovatel"] = 2178 },
["render"] = "\\frac{3779}{2178}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1601}{2178}",
["x"] = 1,
["y"] = 1601,
["z"] = 2178 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} - 12",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{-11}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-16}{-11})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{-16}{-11})^2}{9}",
["typ"] = "lomeno" },
["render"] = "9 + \\frac{(\\frac{-16}{-11})^2}{9}",
["typ"] = "plus" },
["render"] = "4\\frac{5}{10} - 12 + 9 + \\frac{(\\frac{-16}{-11})^2}{9}",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.63, bodu=78, $$-12 \cdot (7 \cdot \frac{-16}{4\frac{5}{9}} - 4)=\textcolor{white}{343\frac{1}{41}}$$return {
["body"] = 78,
["id"] = "0kVN84_0906_2117",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = 343.0243902439,
["objekt"] = {
["hodnota"] = {
["citatel"] = 14064,
["jmenovatel"] = 41 },
["render"] = "\\frac{14064}{41}",
["typ"] = "cislo" },
["tex"] = "343\\frac{1}{41}",
["x"] = 343,
["y"] = 1,
["z"] = 41 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-16}{4\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "7 \\cdot \\frac{-16}{4\\frac{5}{9}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "7 \\cdot \\frac{-16}{4\\frac{5}{9}} - 4",
["typ"] = "minus" },
["render"] = "(7 \\cdot \\frac{-16}{4\\frac{5}{9}} - 4)",
["typ"] = "zavorka" },
["render"] = "-12 \\cdot (7 \\cdot \\frac{-16}{4\\frac{5}{9}} - 4)",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.64, bodu=105, $$\frac{14}{9 \cdot \frac{4\frac{2}{5}}{4\frac{2}{8}}} + 16=\textcolor{white}{17\frac{199}{396}}$$return {
["body"] = 105,
["id"] = "u7LSAX_0906_2117",
["obtiznost"] = 1.04,
["reseni"] = {
["float"] = 17.502525252525,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6931,
["jmenovatel"] = 396 },
["render"] = "\\frac{6931}{396}",
["typ"] = "cislo" },
["tex"] = "17\\frac{199}{396}",
["x"] = 17,
["y"] = 199,
["z"] = 396 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5}}{4\\frac{2}{8}}",
["typ"] = "lomeno" },
["render"] = "9 \\cdot \\frac{4\\frac{2}{5}}{4\\frac{2}{8}}",
["typ"] = "krat" },
["render"] = "\\frac{14}{9 \\cdot \\frac{4\\frac{2}{5}}{4\\frac{2}{8}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{14}{9 \\cdot \\frac{4\\frac{2}{5}}{4\\frac{2}{8}}} + 16",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.65, bodu=135, $$\frac{1\frac{2}{7}}{-11 + 4\frac{4}{8}} - (\frac{-12}{2\frac{4}{8}} - 12)=\textcolor{white}{16\frac{274}{455}}$$return {
["body"] = 135,
["id"] = "gVbhf7_0906_2117",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = 16.602197802198,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7554,
["jmenovatel"] = 455 },
["render"] = "\\frac{7554}{455}",
["typ"] = "cislo" },
["tex"] = "16\\frac{274}{455}",
["x"] = 16,
["y"] = 274,
["z"] = 455 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-11 + 4\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{2}{7}}{-11 + 4\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{2\\frac{4}{8}} - 12",
["typ"] = "minus" },
["render"] = "(\\frac{-12}{2\\frac{4}{8}} - 12)",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{2}{7}}{-11 + 4\\frac{4}{8}} - (\\frac{-12}{2\\frac{4}{8}} - 12)",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.66, bodu=81, $$-12 - (-13 \cdot (4\frac{2}{5} - (17 - (-11)) - (-13)))=\textcolor{white}{-149{,}8}$$return {
["body"] = 81,
["id"] = "k9IKav_0906_2117",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -149.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = -749,
["jmenovatel"] = 5 },
["render"] = "\\frac{-749}{5}",
["typ"] = "cislo" },
["tex"] = "-149\\frac{4}{5}",
["tex_float"] = "-149{,}8",
["x"] = -149,
["y"] = 4,
["z"] = 5 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.66",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "17 - (-11)",
["typ"] = "minus" },
["render"] = "(17 - (-11))",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{5} - (17 - (-11))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} - (17 - (-11)) - (-13)",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{5} - (17 - (-11)) - (-13))",
["typ"] = "zavorka" },
["render"] = "-13 \\cdot (4\\frac{2}{5} - (17 - (-11)) - (-13))",
["typ"] = "krat" },
["render"] = "-12 - (-13 \\cdot (4\\frac{2}{5} - (17 - (-11)) - (-13)))",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.67, bodu=29, $$((4 - (-14)) \cdot -8 - 10) \cdot 13=\textcolor{white}{-2002}$$return {
["body"] = 29,
["id"] = "9HmInN_0906_2117",
["obtiznost"] = 0.67,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2002,
["jmenovatel"] = 1 },
["render"] = "\\frac{-2002}{1}",
["typ"] = "cislo" },
["tex"] = "-2002",
["x"] = -2002 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.67",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4 - (-14)",
["typ"] = "minus" },
["render"] = "(4 - (-14))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(4 - (-14)) \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(4 - (-14)) \\cdot -8 - 10",
["typ"] = "minus" },
["render"] = "((4 - (-14)) \\cdot -8 - 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "((4 - (-14)) \\cdot -8 - 10) \\cdot 13",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.68, bodu=84, $$-15 - \frac{\frac{13}{9}}{-6 - 2\frac{4}{12}}=\textcolor{white}{-14\frac{62}{75}}$$return {
["body"] = 84,
["id"] = "mtIyTa_0906_2117",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -14.826666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1112,
["jmenovatel"] = 75 },
["render"] = "\\frac{-1112}{75}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{62}{75}",
["x"] = -14,
["y"] = 62,
["z"] = 75 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{13}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "-6 - 2\\frac{4}{12}",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{13}{9}}{-6 - 2\\frac{4}{12}}",
["typ"] = "lomeno" },
["render"] = "-15 - \\frac{\\frac{13}{9}}{-6 - 2\\frac{4}{12}}",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.69, bodu=85, $$-11 - 2\frac{4}{8} - (-11 \cdot 16 \cdot (-17 + (-12)))=\textcolor{white}{-5117{,}5}$$return {
["body"] = 85,
["id"] = "xXnS0l_0906_2117",
["obtiznost"] = 0.89,
["reseni"] = {
["float"] = -5117.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10235,
["jmenovatel"] = 2 },
["render"] = "\\frac{-10235}{2}",
["typ"] = "cislo" },
["tex"] = "-5117\\frac{1}{2}",
["tex_float"] = "-5117{,}5",
["x"] = -5117,
["y"] = 1,
["z"] = 2 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-11 - 2\\frac{4}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-17 + (-12)",
["typ"] = "plus" },
["render"] = "(-17 + (-12))",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot 16 \\cdot (-17 + (-12))",
["typ"] = "krat" },
["render"] = "-11 - 2\\frac{4}{8} - (-11 \\cdot 16 \\cdot (-17 + (-12)))",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.7, bodu=113, $$-10 \cdot 3\frac{5}{10} + \frac{-13 + 2\frac{5}{9}}{-14} + 8=\textcolor{white}{-26\frac{16}{63}}$$return {
["body"] = 113,
["id"] = "DeahF5_0906_2117",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -26.253968253968,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1654,
["jmenovatel"] = 63 },
["render"] = "\\frac{-1654}{63}",
["typ"] = "cislo" },
["tex"] = "-26\\frac{16}{63}",
["x"] = -26,
["y"] = 16,
["z"] = 63 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 3\\frac{5}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-13 + 2\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-13 + 2\\frac{5}{9}}{-14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-13 + 2\\frac{5}{9}}{-14} + 8",
["typ"] = "plus" },
["render"] = "-10 \\cdot 3\\frac{5}{10} + \\frac{-13 + 2\\frac{5}{9}}{-14} + 8",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.71, bodu=90, $$\frac{8 - (-9)}{(3\frac{5}{10} \cdot 4 - 8)^2}=\textcolor{white}{\frac{17}{36}}$$return {
["body"] = 90,
["id"] = "zECfSx_0906_2117",
["obtiznost"] = 0.9248,
["reseni"] = {
["float"] = 0.47222222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 36 },
["render"] = "\\frac{17}{36}",
["typ"] = "cislo" },
["tex"] = "\\frac{17}{36}",
["y"] = 17,
["z"] = 36 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.71",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot 4 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3\\frac{5}{10} \\cdot 4 - 8)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{8 - (-9)}{(3\\frac{5}{10} \\cdot 4 - 8)^2}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.72, bodu=89, $$(\frac{1\frac{4}{10} \cdot 10}{7})^2 \cdot -14 \cdot 10=\textcolor{white}{-560}$$return {
["body"] = 89,
["id"] = "nSeelH_0906_2117",
["obtiznost"] = 0.922,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -560,
["jmenovatel"] = 1 },
["render"] = "\\frac{-560}{1}",
["typ"] = "cislo" },
["tex"] = "-560",
["tex_float"] = "-560",
["x"] = -560 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.72",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{4}{10} \\cdot 10}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{4}{10} \\cdot 10}{7})^2",
["typ"] = "mocnina" },
["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"] = "(\\frac{1\\frac{4}{10} \\cdot 10}{7})^2 \\cdot -14 \\cdot 10",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.73, bodu=90, $$(-11 + \frac{3\frac{1}{5}}{3}) \cdot (12 + 14 \cdot 11)=\textcolor{white}{-1648\frac{14}{15}}$$return {
["body"] = 90,
["id"] = "4HcWwI_0906_2117",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = -1648.9333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -24734,
["jmenovatel"] = 15 },
["render"] = "\\frac{-24734}{15}",
["typ"] = "cislo" },
["tex"] = "-1648\\frac{14}{15}",
["x"] = -1648,
["y"] = 14,
["z"] = 15 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.73",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{5}}{3}",
["typ"] = "lomeno" },
["render"] = "-11 + \\frac{3\\frac{1}{5}}{3}",
["typ"] = "plus" },
["render"] = "(-11 + \\frac{3\\frac{1}{5}}{3})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "14 \\cdot 11",
["typ"] = "krat" },
["render"] = "12 + 14 \\cdot 11",
["typ"] = "plus" },
["render"] = "(12 + 14 \\cdot 11)",
["typ"] = "zavorka" },
["render"] = "(-11 + \\frac{3\\frac{1}{5}}{3}) \\cdot (12 + 14 \\cdot 11)",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.74, bodu=103, $$1\frac{4}{11} \cdot ((-2 \cdot -7)^2 + (-10 - (-5))^2 + 8)=\textcolor{white}{312\frac{3}{11}}$$return {
["body"] = 103,
["id"] = "FgoSCI_0906_2117",
["obtiznost"] = 1.0292,
["reseni"] = {
["float"] = 312.27272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3435,
["jmenovatel"] = 11 },
["render"] = "\\frac{3435}{11}",
["typ"] = "cislo" },
["tex"] = "312\\frac{3}{11}",
["x"] = 312,
["y"] = 3,
["z"] = 11 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-2 \\cdot -7",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(-2 \\cdot -7)^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-10 - (-5)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-10 - (-5))^2",
["typ"] = "mocnina" },
["render"] = "(-2 \\cdot -7)^2 + (-10 - (-5))^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-2 \\cdot -7)^2 + (-10 - (-5))^2 + 8",
["typ"] = "plus" },
["render"] = "((-2 \\cdot -7)^2 + (-10 - (-5))^2 + 8)",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{11} \\cdot ((-2 \\cdot -7)^2 + (-10 - (-5))^2 + 8)",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.75, bodu=183, $$4\frac{5}{9} + 3\frac{2}{10} + (-20 - (2\frac{2}{10} + 15) - (2\frac{4}{14} - (-12)))=\textcolor{white}{-43\frac{46}{63}}$$return {
["body"] = 183,
["id"] = "zmy4o6_0906_2117",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = -43.730158730159,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2755,
["jmenovatel"] = 63 },
["render"] = "\\frac{-68875}{1575}",
["typ"] = "cislo" },
["tex"] = "-43\\frac{46}{63}",
["x"] = -43,
["y"] = 46,
["z"] = 63 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{9} + 3\\frac{2}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{10} + 15",
["typ"] = "plus" },
["render"] = "(2\\frac{2}{10} + 15)",
["typ"] = "zavorka" },
["render"] = "-20 - (2\\frac{2}{10} + 15)",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{14} - (-12)",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{14} - (-12))",
["typ"] = "zavorka" },
["render"] = "-20 - (2\\frac{2}{10} + 15) - (2\\frac{4}{14} - (-12))",
["typ"] = "minus" },
["render"] = "4\\frac{5}{9} + 3\\frac{2}{10} + (-20 - (2\\frac{2}{10} + 15) - (2\\frac{4}{14} - (-12)))",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.76, bodu=152, $$\frac{\frac{-19}{2\frac{4}{10}}}{8 + 12 + (-12 - (4\frac{2}{3} + 4\frac{2}{4}))}=\textcolor{white}{6\frac{11}{14}}$$return {
["body"] = 152,
["id"] = "NuMlzM_0906_2117",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = 6.7857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 95,
["jmenovatel"] = 14 },
["render"] = "\\frac{-570}{-84}",
["typ"] = "cislo" },
["tex"] = "6\\frac{11}{14}",
["x"] = 6,
["y"] = 11,
["z"] = 14 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-19}{2\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{3} + 4\\frac{2}{4}",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{3} + 4\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "-12 - (4\\frac{2}{3} + 4\\frac{2}{4})",
["typ"] = "minus" },
["render"] = "8 + 12 + (-12 - (4\\frac{2}{3} + 4\\frac{2}{4}))",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-19}{2\\frac{4}{10}}}{8 + 12 + (-12 - (4\\frac{2}{3} + 4\\frac{2}{4}))}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.77, bodu=154, $$\frac{4\frac{3}{9}}{\frac{12}{3\frac{4}{10}}} - 4\frac{2}{7} + (-16) - 9=\textcolor{white}{-28\frac{73}{1260}}$$return {
["body"] = 154,
["id"] = "OPr5l5_0906_2117",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = -28.057936507937,
["objekt"] = {
["hodnota"] = {
["citatel"] = -35353,
["jmenovatel"] = 1260 },
["render"] = "\\frac{-35353}{1260}",
["typ"] = "cislo" },
["tex"] = "-28\\frac{73}{1260}",
["x"] = -28,
["y"] = 73,
["z"] = 1260 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{3\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{3}{9}}{\\frac{12}{3\\frac{4}{10}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{9}}{\\frac{12}{3\\frac{4}{10}}} - 4\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{9}}{\\frac{12}{3\\frac{4}{10}}} - 4\\frac{2}{7} + (-16)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{9}}{\\frac{12}{3\\frac{4}{10}}} - 4\\frac{2}{7} + (-16) - 9",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.78, bodu=125, $$\frac{2\frac{4}{7} - (-8 \cdot 12)}{9 - 7 - 3\frac{5}{9}}=\textcolor{white}{-63\frac{18}{49}}$$return {
["body"] = 125,
["id"] = "oiPjqe_0906_2117",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = -63.367346938776,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3105,
["jmenovatel"] = 49 },
["render"] = "\\frac{6210}{-98}",
["typ"] = "cislo" },
["tex"] = "-63\\frac{18}{49}",
["x"] = -63,
["y"] = 18,
["z"] = 49 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 12",
["typ"] = "krat" },
["render"] = "2\\frac{4}{7} - (-8 \\cdot 12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "9 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "9 - 7 - 3\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{4}{7} - (-8 \\cdot 12)}{9 - 7 - 3\\frac{5}{9}}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.79, bodu=175, $$\frac{(\frac{2\frac{2}{6}}{13 - 14})^3}{2\frac{1}{9} - (-11 - 9)^2}=\textcolor{white}{\frac{343}{10743}}$$return {
["body"] = 175,
["id"] = "babOmv_0906_2117",
["obtiznost"] = 1.4984,
["reseni"] = {
["float"] = 0.031927766917993,
["objekt"] = {
["hodnota"] = {
["citatel"] = 343,
["jmenovatel"] = 10743 },
["render"] = "\\frac{-3087}{-96687}",
["typ"] = "cislo" },
["tex"] = "\\frac{343}{10743}",
["y"] = 343,
["z"] = 10743 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.79",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "13 - 14",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{2}{6}}{13 - 14}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{2\\frac{2}{6}}{13 - 14})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-11 - 9",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-11 - 9)^2",
["typ"] = "mocnina" },
["render"] = "2\\frac{1}{9} - (-11 - 9)^2",
["typ"] = "minus" },
["render"] = "\\frac{(\\frac{2\\frac{2}{6}}{13 - 14})^3}{2\\frac{1}{9} - (-11 - 9)^2}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.8, bodu=174, $$(\frac{1\frac{5}{9}}{-7})^3 - (-12) + (-6 + 12 - (4\frac{2}{7} + (-9)))=\textcolor{white}{22\frac{3589}{5103}}$$return {
["body"] = 174,
["id"] = "Rbj9s6_0906_2117",
["obtiznost"] = 1.4948,
["reseni"] = {
["float"] = 22.703311777386,
["objekt"] = {
["hodnota"] = {
["citatel"] = 115855,
["jmenovatel"] = 5103 },
["render"] = "\\frac{115855}{5103}",
["typ"] = "cislo" },
["tex"] = "22\\frac{3589}{5103}",
["x"] = 22,
["y"] = 3589,
["z"] = 5103 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9}}{-7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{1\\frac{5}{9}}{-7})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(\\frac{1\\frac{5}{9}}{-7})^3 - (-12)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-6 + 12",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} + (-9)",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{7} + (-9))",
["typ"] = "zavorka" },
["render"] = "-6 + 12 - (4\\frac{2}{7} + (-9))",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{5}{9}}{-7})^3 - (-12) + (-6 + 12 - (4\\frac{2}{7} + (-9)))",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.81, bodu=229, $$\frac{3\frac{1}{9} + 3\frac{2}{6} - 3\frac{4}{12} + \frac{4}{1\frac{5}{10}}}{\frac{10}{2\frac{3}{11}}}=\textcolor{white}{1\frac{31}{99}}$$return {
["body"] = 229,
["id"] = "csJMlm_0906_2117",
["obtiznost"] = 1.81,
["reseni"] = {
["float"] = 1.3131313131313,
["objekt"] = {
["hodnota"] = {
["citatel"] = 130,
["jmenovatel"] = 99 },
["render"] = "\\frac{260}{198}",
["typ"] = "cislo" },
["tex"] = "1\\frac{31}{99}",
["x"] = 1,
["y"] = 31,
["z"] = 99 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{9} + 3\\frac{2}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{9} + 3\\frac{2}{6} - 3\\frac{4}{12}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4}{1\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{9} + 3\\frac{2}{6} - 3\\frac{4}{12} + \\frac{4}{1\\frac{5}{10}}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 11 },
["render"] = "2\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{2\\frac{3}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{1}{9} + 3\\frac{2}{6} - 3\\frac{4}{12} + \\frac{4}{1\\frac{5}{10}}}{\\frac{10}{2\\frac{3}{11}}}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.82, bodu=195, $$\frac{1\frac{5}{10} + 1\frac{5}{7} + \frac{3\frac{1}{6}}{4\frac{1}{7}}}{-16 \cdot 19}=\textcolor{white}{-\frac{2423}{185136}}$$return {
["body"] = 195,
["id"] = "A717cn_0906_2117",
["obtiznost"] = 1.62,
["reseni"] = {
["float"] = -0.013087676086769,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2423,
["jmenovatel"] = 185136 },
["render"] = "\\frac{2423}{-185136}",
["typ"] = "cislo" },
["tex"] = "-\\frac{2423}{185136}",
["y"] = -2423,
["z"] = 185136 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} + 1\\frac{5}{7}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{6}}{4\\frac{1}{7}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{10} + 1\\frac{5}{7} + \\frac{3\\frac{1}{6}}{4\\frac{1}{7}}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 19",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{5}{10} + 1\\frac{5}{7} + \\frac{3\\frac{1}{6}}{4\\frac{1}{7}}}{-16 \\cdot 19}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.83, bodu=78, $$\frac{11 \cdot -12}{\frac{13}{-3} \cdot -20}=\textcolor{white}{-1\frac{34}{65}}$$return {
["body"] = 78,
["id"] = "IigEav_0906_2117",
["obtiznost"] = 0.83,
["reseni"] = {
["float"] = -1.5230769230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = -99,
["jmenovatel"] = 65 },
["render"] = "\\frac{-396}{260}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{34}{65}",
["x"] = -1,
["y"] = 34,
["z"] = 65 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "11 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{13}{-3} \\cdot -20",
["typ"] = "krat" },
["render"] = "\\frac{11 \\cdot -12}{\\frac{13}{-3} \\cdot -20}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.84, bodu=79, $$18 \cdot (\frac{\frac{-8}{-17}}{9 + 4\frac{3}{3}} - 15)=\textcolor{white}{-269\frac{47}{119}}$$return {
["body"] = 79,
["id"] = "3dHJMK_0906_2117",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = -269.39495798319,
["objekt"] = {
["hodnota"] = {
["citatel"] = -32058,
["jmenovatel"] = 119 },
["render"] = "\\frac{-32058}{119}",
["typ"] = "cislo" },
["tex"] = "-269\\frac{47}{119}",
["x"] = -269,
["y"] = 47,
["z"] = 119 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{-17}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{3}{3}",
["typ"] = "cislo" },
["render"] = "9 + 4\\frac{3}{3}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{-8}{-17}}{9 + 4\\frac{3}{3}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-8}{-17}}{9 + 4\\frac{3}{3}} - 15",
["typ"] = "minus" },
["render"] = "(\\frac{\\frac{-8}{-17}}{9 + 4\\frac{3}{3}} - 15)",
["typ"] = "zavorka" },
["render"] = "18 \\cdot (\\frac{\\frac{-8}{-17}}{9 + 4\\frac{3}{3}} - 15)",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.85, bodu=167, $$(19 + \frac{-6}{2\frac{2}{7}} + \frac{3\frac{5}{8}}{12}) \cdot 2\frac{3}{12}=\textcolor{white}{37\frac{67}{128}}$$return {
["body"] = 167,
["id"] = "1pKgxp_0906_2117",
["obtiznost"] = 1.45,
["reseni"] = {
["float"] = 37.5234375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4803,
["jmenovatel"] = 128 },
["render"] = "\\frac{14409}{384}",
["typ"] = "cislo" },
["tex"] = "37\\frac{67}{128}",
["x"] = 37,
["y"] = 67,
["z"] = 128 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.85",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{2\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{8}}{12}",
["typ"] = "lomeno" },
["render"] = "\\frac{-6}{2\\frac{2}{7}} + \\frac{3\\frac{5}{8}}{12}",
["typ"] = "plus" },
["render"] = "19 + \\frac{-6}{2\\frac{2}{7}} + \\frac{3\\frac{5}{8}}{12}",
["typ"] = "plus" },
["render"] = "(19 + \\frac{-6}{2\\frac{2}{7}} + \\frac{3\\frac{5}{8}}{12})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "(19 + \\frac{-6}{2\\frac{2}{7}} + \\frac{3\\frac{5}{8}}{12}) \\cdot 2\\frac{3}{12}",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.86, bodu=137, $$4\frac{1}{6} \cdot (3\frac{5}{10} + 4 \cdot -14) \cdot \frac{-12}{15}=\textcolor{white}{175}$$return {
["body"] = 137,
["id"] = "bsmbmU_0906_2117",
["obtiznost"] = 1.26,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 175,
["jmenovatel"] = 1 },
["render"] = "\\frac{3500}{20}",
["typ"] = "cislo" },
["tex"] = "175",
["tex_float"] = "175",
["x"] = 175 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4 \\cdot -14",
["typ"] = "krat" },
["render"] = "3\\frac{5}{10} + 4 \\cdot -14",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{10} + 4 \\cdot -14)",
["typ"] = "zavorka" },
["render"] = "4\\frac{1}{6} \\cdot (3\\frac{5}{10} + 4 \\cdot -14)",
["typ"] = "krat" },
["c2"] = {
["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" },
["render"] = "4\\frac{1}{6} \\cdot (3\\frac{5}{10} + 4 \\cdot -14) \\cdot \\frac{-12}{15}",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.87, bodu=138, $$(2\frac{3}{9} \cdot (18 - 2\frac{4}{13}) + \frac{-12}{-19} + (-21)) \cdot 11=\textcolor{white}{178\frac{177}{247}}$$return {
["body"] = 138,
["id"] = "8QDco1_0906_2117",
["obtiznost"] = 1.27,
["reseni"] = {
["float"] = 178.71659919028,
["objekt"] = {
["hodnota"] = {
["citatel"] = 44143,
["jmenovatel"] = 247 },
["render"] = "\\frac{44143}{247}",
["typ"] = "cislo" },
["tex"] = "178\\frac{177}{247}",
["x"] = 178,
["y"] = 177,
["z"] = 247 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.87",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "18 - 2\\frac{4}{13}",
["typ"] = "minus" },
["render"] = "(18 - 2\\frac{4}{13})",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{9} \\cdot (18 - 2\\frac{4}{13})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-19}",
["typ"] = "lomeno" },
["render"] = "2\\frac{3}{9} \\cdot (18 - 2\\frac{4}{13}) + \\frac{-12}{-19}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} \\cdot (18 - 2\\frac{4}{13}) + \\frac{-12}{-19} + (-21)",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{9} \\cdot (18 - 2\\frac{4}{13}) + \\frac{-12}{-19} + (-21))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{9} \\cdot (18 - 2\\frac{4}{13}) + \\frac{-12}{-19} + (-21)) \\cdot 11",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.88, bodu=172, $$23 \cdot (4\frac{3}{7} + \frac{-11 \cdot 2\frac{5}{8}}{-16} + 2\frac{5}{10})=\textcolor{white}{200\frac{775}{896}}$$return {
["body"] = 172,
["id"] = "NLWNP3_0906_2117",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = 200.86495535714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 179975,
["jmenovatel"] = 896 },
["render"] = "\\frac{179975}{896}",
["typ"] = "cislo" },
["tex"] = "200\\frac{775}{896}",
["x"] = 200,
["y"] = 775,
["z"] = 896 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 1 },
["render"] = "23",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 2\\frac{5}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{-11 \\cdot 2\\frac{5}{8}}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-11 \\cdot 2\\frac{5}{8}}{-16} + 2\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "4\\frac{3}{7} + \\frac{-11 \\cdot 2\\frac{5}{8}}{-16} + 2\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{7} + \\frac{-11 \\cdot 2\\frac{5}{8}}{-16} + 2\\frac{5}{10})",
["typ"] = "zavorka" },
["render"] = "23 \\cdot (4\\frac{3}{7} + \\frac{-11 \\cdot 2\\frac{5}{8}}{-16} + 2\\frac{5}{10})",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.89, bodu=207, $$19 + \frac{4\frac{5}{11}}{\frac{1\frac{1}{9}}{4\frac{1}{8}}} - \frac{1\frac{1}{4}}{11}=\textcolor{white}{35\frac{373}{880}}$$return {
["body"] = 207,
["id"] = "Cl8p8X_0906_2117",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = 35.423863636364,
["objekt"] = {
["hodnota"] = {
["citatel"] = 31173,
["jmenovatel"] = 880 },
["render"] = "\\frac{31173}{880}",
["typ"] = "cislo" },
["tex"] = "35\\frac{373}{880}",
["x"] = 35,
["y"] = 373,
["z"] = 880 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.89",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{9}}{4\\frac{1}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{5}{11}}{\\frac{1\\frac{1}{9}}{4\\frac{1}{8}}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{4}}{11}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{5}{11}}{\\frac{1\\frac{1}{9}}{4\\frac{1}{8}}} - \\frac{1\\frac{1}{4}}{11}",
["typ"] = "minus" },
["render"] = "19 + \\frac{4\\frac{5}{11}}{\\frac{1\\frac{1}{9}}{4\\frac{1}{8}}} - \\frac{1\\frac{1}{4}}{11}",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.9, bodu=175, $$\frac{4\frac{3}{8}}{4\frac{4}{10} + (-13)} \cdot \frac{\frac{-9}{18}}{3\frac{2}{10}}=\textcolor{white}{\frac{875}{11008}}$$return {
["body"] = 175,
["id"] = "mXJjuQ_0906_2117",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = 0.079487645348837,
["objekt"] = {
["hodnota"] = {
["citatel"] = 875,
["jmenovatel"] = 11008 },
["render"] = "\\frac{875}{11008}",
["typ"] = "cislo" },
["tex"] = "\\frac{875}{11008}",
["y"] = 875,
["z"] = 11008 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{3}{8}}{4\\frac{4}{10} + (-13)}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{18}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-9}{18}}{3\\frac{2}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{3}{8}}{4\\frac{4}{10} + (-13)} \\cdot \\frac{\\frac{-9}{18}}{3\\frac{2}{10}}",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.91, bodu=176, $$4\frac{1}{5} \cdot -7 \cdot \frac{3\frac{5}{10} + 7}{2\frac{3}{5}} \cdot 12=\textcolor{white}{-1424\frac{10}{13}}$$return {
["body"] = 176,
["id"] = "4a4ywC_0906_2117",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = -1424.7692307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18522,
["jmenovatel"] = 13 },
["render"] = "\\frac{-37044}{26}",
["typ"] = "cislo" },
["tex"] = "-1424\\frac{10}{13}",
["x"] = -1424,
["y"] = 10,
["z"] = 13 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} + 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10} + 7}{2\\frac{3}{5}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{5} \\cdot -7 \\cdot \\frac{3\\frac{5}{10} + 7}{2\\frac{3}{5}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} \\cdot -7 \\cdot \\frac{3\\frac{5}{10} + 7}{2\\frac{3}{5}} \\cdot 12",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.92, bodu=258, $$\frac{1\frac{3}{12}}{(\frac{2\frac{3}{6}}{1\frac{3}{9}} - (4\frac{3}{12} - 3\frac{3}{12})^3)^2} \cdot -11=\textcolor{white}{-17\frac{47}{49}}$$return {
["body"] = 258,
["id"] = "ujWTDL_0906_2117",
["obtiznost"] = 1.966,
["reseni"] = {
["float"] = -17.959183673469,
["objekt"] = {
["hodnota"] = {
["citatel"] = -880,
["jmenovatel"] = 49 },
["render"] = "\\frac{-880}{49}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{47}{49}",
["x"] = -17,
["y"] = 47,
["z"] = 49 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{6}}{1\\frac{3}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{12} - 3\\frac{3}{12}",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(4\\frac{3}{12} - 3\\frac{3}{12})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{3}{6}}{1\\frac{3}{9}} - (4\\frac{3}{12} - 3\\frac{3}{12})^3",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{3}{6}}{1\\frac{3}{9}} - (4\\frac{3}{12} - 3\\frac{3}{12})^3)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{3}{12}}{(\\frac{2\\frac{3}{6}}{1\\frac{3}{9}} - (4\\frac{3}{12} - 3\\frac{3}{12})^3)^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{12}}{(\\frac{2\\frac{3}{6}}{1\\frac{3}{9}} - (4\\frac{3}{12} - 3\\frac{3}{12})^3)^2} \\cdot -11",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.93, bodu=148, $$\frac{(11 + 4\frac{2}{12}) \cdot -15}{\frac{4\frac{1}{9} \cdot 2\frac{2}{2}}{-9}}=\textcolor{white}{166\frac{1}{74}}$$return {
["body"] = 148,
["id"] = "aO8JVQ_0906_2117",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = 166.01351351351,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12285,
["jmenovatel"] = 74 },
["render"] = "\\frac{-12285}{-74}",
["typ"] = "cislo" },
["tex"] = "166\\frac{1}{74}",
["x"] = 166,
["y"] = 1,
["z"] = 74 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{2}{12}",
["typ"] = "cislo" },
["render"] = "11 + 4\\frac{2}{12}",
["typ"] = "plus" },
["render"] = "(11 + 4\\frac{2}{12})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(11 + 4\\frac{2}{12}) \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "2\\frac{2}{2}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{9} \\cdot 2\\frac{2}{2}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{9} \\cdot 2\\frac{2}{2}}{-9}",
["typ"] = "lomeno" },
["render"] = "\\frac{(11 + 4\\frac{2}{12}) \\cdot -15}{\\frac{4\\frac{1}{9} \\cdot 2\\frac{2}{2}}{-9}}",
["typ"] = "lomeno" } }
seed: yqkIVleGvsiGSRciD0sc_0.94, bodu=181, $$(18 - \frac{2\frac{5}{12} + 3\frac{5}{11}}{17}) \cdot \frac{-7}{3\frac{5}{14}}=\textcolor{white}{-36\frac{42809}{52734}}$$return {
["body"] = 181,
["id"] = "ksH7em_0906_2117",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -36.811791254219,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1941233,
["jmenovatel"] = 52734 },
["render"] = "\\frac{-3882466}{105468}",
["typ"] = "cislo" },
["tex"] = "-36\\frac{42809}{52734}",
["x"] = -36,
["y"] = 42809,
["z"] = 52734 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.94",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} + 3\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{12} + 3\\frac{5}{11}}{17}",
["typ"] = "lomeno" },
["render"] = "18 - \\frac{2\\frac{5}{12} + 3\\frac{5}{11}}{17}",
["typ"] = "minus" },
["render"] = "(18 - \\frac{2\\frac{5}{12} + 3\\frac{5}{11}}{17})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{3\\frac{5}{14}}",
["typ"] = "lomeno" },
["render"] = "(18 - \\frac{2\\frac{5}{12} + 3\\frac{5}{11}}{17}) \\cdot \\frac{-7}{3\\frac{5}{14}}",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.95, bodu=183, $$(4\frac{3}{13} \cdot 3\frac{3}{10} + 4\frac{1}{9} + (-18)) \cdot -15 \cdot 16=\textcolor{white}{-17\frac{17}{39}}$$return {
["body"] = 183,
["id"] = "U2H8ag_0906_2117",
["obtiznost"] = 1.55,
["reseni"] = {
["float"] = -17.435897435897,
["objekt"] = {
["hodnota"] = {
["citatel"] = -680,
["jmenovatel"] = 39 },
["render"] = "\\frac{-4080}{234}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{17}{39}",
["x"] = -17,
["y"] = 17,
["z"] = 39 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.95",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 13 },
["render"] = "4\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{13} \\cdot 3\\frac{3}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{9} + (-18)",
["typ"] = "plus" },
["render"] = "4\\frac{3}{13} \\cdot 3\\frac{3}{10} + 4\\frac{1}{9} + (-18)",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{13} \\cdot 3\\frac{3}{10} + 4\\frac{1}{9} + (-18))",
["typ"] = "zavorka" },
["c2"] = {
["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" },
["render"] = "(4\\frac{3}{13} \\cdot 3\\frac{3}{10} + 4\\frac{1}{9} + (-18)) \\cdot -15 \\cdot 16",
["typ"] = "krat" } }
seed: yqkIVleGvsiGSRciD0sc_0.96, bodu=220, $$4\frac{5}{8} - 18 - 1\frac{4}{9} \cdot (2\frac{5}{11} \cdot 3\frac{3}{9} + (-16))=\textcolor{white}{-2\frac{65}{792}}$$return {
["body"] = 220,
["id"] = "UWD14J_0906_2117",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = -2.0820707070707,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1649,
["jmenovatel"] = 792 },
["render"] = "\\frac{-1649}{792}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{65}{792}",
["x"] = -2,
["y"] = 65,
["z"] = 792 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{8} - 18",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} \\cdot 3\\frac{3}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} \\cdot 3\\frac{3}{9} + (-16)",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{11} \\cdot 3\\frac{3}{9} + (-16))",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{9} \\cdot (2\\frac{5}{11} \\cdot 3\\frac{3}{9} + (-16))",
["typ"] = "krat" },
["render"] = "4\\frac{5}{8} - 18 - 1\\frac{4}{9} \\cdot (2\\frac{5}{11} \\cdot 3\\frac{3}{9} + (-16))",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.97, bodu=154, $$12 \cdot 22 \cdot 3\frac{4}{11} \cdot 1\frac{4}{6} + 18 + 22=\textcolor{white}{1520}$$return {
["body"] = 154,
["id"] = "fvUqgO_0906_2117",
["obtiznost"] = 1.37,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1520,
["jmenovatel"] = 1 },
["render"] = "\\frac{1520}{1}",
["typ"] = "cislo" },
["tex"] = "1520",
["tex_float"] = "1520",
["x"] = 1520 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "22 \\cdot 3\\frac{4}{11}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "22 \\cdot 3\\frac{4}{11} \\cdot 1\\frac{4}{6}",
["typ"] = "krat" },
["render"] = "12 \\cdot 22 \\cdot 3\\frac{4}{11} \\cdot 1\\frac{4}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "18 + 22",
["typ"] = "plus" },
["render"] = "12 \\cdot 22 \\cdot 3\\frac{4}{11} \\cdot 1\\frac{4}{6} + 18 + 22",
["typ"] = "plus" } }
seed: yqkIVleGvsiGSRciD0sc_0.98, bodu=158, $$2\frac{2}{4} \cdot \frac{8 + (10 + (-16))^2 + 3\frac{2}{7}}{-20} - 15=\textcolor{white}{-20\frac{51}{56}}$$return {
["body"] = 158,
["id"] = "4CGzC2_0906_2117",
["obtiznost"] = 1.3948,
["reseni"] = {
["float"] = -20.910714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1171,
["jmenovatel"] = 56 },
["render"] = "\\frac{-1171}{56}",
["typ"] = "cislo" },
["tex"] = "-20\\frac{51}{56}",
["x"] = -20,
["y"] = 51,
["z"] = 56 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "10 + (-16)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + (-16))^2",
["typ"] = "mocnina" },
["render"] = "8 + (10 + (-16))^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "8 + (10 + (-16))^2 + 3\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{8 + (10 + (-16))^2 + 3\\frac{2}{7}}{-20}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{4} \\cdot \\frac{8 + (10 + (-16))^2 + 3\\frac{2}{7}}{-20}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} \\cdot \\frac{8 + (10 + (-16))^2 + 3\\frac{2}{7}}{-20} - 15",
["typ"] = "minus" } }
seed: yqkIVleGvsiGSRciD0sc_0.99, bodu=190, $$\frac{\frac{2\frac{3}{8} \cdot -23}{1\frac{3}{7} \cdot (2\frac{4}{13} + (-15))}}{18}=\textcolor{white}{\frac{39767}{237600}}$$return {
["body"] = 190,
["id"] = "PIXcxe_0906_2117",
["obtiznost"] = 1.59,
["reseni"] = {
["float"] = 0.16736952861953,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39767,
["jmenovatel"] = 237600 },
["render"] = "\\frac{39767}{237600}",
["typ"] = "cislo" },
["tex"] = "\\frac{39767}{237600}",
["y"] = 39767,
["z"] = 237600 },
["seed"] = "yqkIVleGvsiGSRciD0sc_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} \\cdot -23",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{13} + (-15)",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{13} + (-15))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{7} \\cdot (2\\frac{4}{13} + (-15))",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{3}{8} \\cdot -23}{1\\frac{3}{7} \\cdot (2\\frac{4}{13} + (-15))}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{3}{8} \\cdot -23}{1\\frac{3}{7} \\cdot (2\\frac{4}{13} + (-15))}}{18}",
["typ"] = "lomeno" } }
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: 