- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: NMGGlJ514j0xZml1gMy0_0, bodu=6, $$8 \cdot (8 + 2 + 5)^2=\textcolor{white}{1800}$$return {
["body"] = 6,
["id"] = "jGbP3O_0811_0257",
["obtiznost"] = 0.0904,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1800,
["jmenovatel"] = 1 },
["render"] = "\\frac{1800}{1}",
["typ"] = "cislo" },
["tex"] = "1800",
["tex_float"] = "1800",
["x"] = 1800 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "8 + 2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 + 2 + 5",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 2 + 5)^2",
["typ"] = "mocnina" },
["render"] = "8 \\cdot (8 + 2 + 5)^2",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.01, bodu=10, $$\frac{2 - 6 \cdot 6}{8}=\textcolor{white}{-4{,}25}$$return {
["body"] = 10,
["id"] = "jfsrbi_0811_0257",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = -4.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 4 },
["render"] = "\\frac{-34}{8}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{1}{4}",
["tex_float"] = "-4{,}25",
["x"] = -4,
["y"] = 1,
["z"] = 4 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 \\cdot 6",
["typ"] = "krat" },
["render"] = "2 - 6 \\cdot 6",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{2 - 6 \\cdot 6}{8}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.02, bodu=13, $$((10 + 8 + 10)^2 \cdot (6 - 6))^3=\textcolor{white}{0}$$return {
["body"] = 13,
["id"] = "pG2SVx_0811_0257",
["obtiznost"] = 0.3344,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.02",
["zadani"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "10 + 8 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + 8 + 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 - 6",
["typ"] = "minus" },
["render"] = "(6 - 6)",
["typ"] = "zavorka" },
["render"] = "(10 + 8 + 10)^2 \\cdot (6 - 6)",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "((10 + 8 + 10)^2 \\cdot (6 - 6))^3",
["typ"] = "mocnina" } }
seed: NMGGlJ514j0xZml1gMy0_0.03, bodu=5, $$4 + 6 - (10 + (-5 + 10)^2)=\textcolor{white}{-25}$$return {
["body"] = 5,
["id"] = "1H381m_0811_0257",
["obtiznost"] = 0.0404,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -25,
["jmenovatel"] = 1 },
["render"] = "\\frac{-25}{1}",
["typ"] = "cislo" },
["tex"] = "-25",
["x"] = -25 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4 + 6",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-5 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + 10)^2",
["typ"] = "mocnina" },
["render"] = "10 + (-5 + 10)^2",
["typ"] = "plus" },
["render"] = "(10 + (-5 + 10)^2)",
["typ"] = "zavorka" },
["render"] = "4 + 6 - (10 + (-5 + 10)^2)",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.04, bodu=5, $$6 \cdot 11 \cdot 7=\textcolor{white}{462}$$return {
["body"] = 5,
["id"] = "ZYpi5I_0811_0257",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 462,
["jmenovatel"] = 1 },
["render"] = "\\frac{462}{1}",
["typ"] = "cislo" },
["tex"] = "462",
["tex_float"] = "462",
["x"] = 462 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "6 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 \\cdot 11 \\cdot 7",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.05, bodu=11, $$\frac{6 - 11}{8 \cdot 8}=\textcolor{white}{-\frac{5}{64}}$$return {
["body"] = 11,
["id"] = "9TShdP_0811_0257",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = -0.078125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 64 },
["render"] = "\\frac{-5}{64}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{64}",
["y"] = -5,
["z"] = 64 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.05",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "8 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{6 - 11}{8 \\cdot 8}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.06, bodu=11, $$5 + \frac{8}{(6 + (-3))^2}=\textcolor{white}{5\frac{8}{9}}$$return {
["body"] = 11,
["id"] = "R9EnBJ_0811_0257",
["obtiznost"] = 0.064,
["reseni"] = {
["float"] = 5.8888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 9 },
["render"] = "\\frac{53}{9}",
["typ"] = "cislo" },
["tex"] = "5\\frac{8}{9}",
["x"] = 5,
["y"] = 8,
["z"] = 9 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["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"] = "plus" },
["mocnitel"] = 2,
["render"] = "(6 + (-3))^2",
["typ"] = "mocnina" },
["render"] = "\\frac{8}{(6 + (-3))^2}",
["typ"] = "lomeno" },
["render"] = "5 + \\frac{8}{(6 + (-3))^2}",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.07, bodu=11, $$\frac{-5}{9 \cdot -9}=\textcolor{white}{\frac{5}{81}}$$return {
["body"] = 11,
["id"] = "xxcQZ3_0811_0257",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = 0.061728395061728,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 81 },
["render"] = "\\frac{-5}{-81}",
["typ"] = "cislo" },
["tex"] = "\\frac{5}{81}",
["y"] = 5,
["z"] = 81 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "9 \\cdot -9",
["typ"] = "krat" },
["render"] = "\\frac{-5}{9 \\cdot -9}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.08, bodu=6, $$8 + (-11 \cdot 4) - 7=\textcolor{white}{-43}$$return {
["body"] = 6,
["id"] = "v2bmHH_0811_0257",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -43,
["jmenovatel"] = 1 },
["render"] = "\\frac{-43}{1}",
["typ"] = "cislo" },
["tex"] = "-43",
["x"] = -43 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-11 \\cdot 4",
["typ"] = "krat" },
["render"] = "8 + (-11 \\cdot 4)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 + (-11 \\cdot 4) - 7",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.09, bodu=7, $$5 + (3 \cdot 7 - 8)^2=\textcolor{white}{174}$$return {
["body"] = 7,
["id"] = "xrpUjA_0811_0257",
["obtiznost"] = 0.158,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 174,
["jmenovatel"] = 1 },
["render"] = "\\frac{174}{1}",
["typ"] = "cislo" },
["tex"] = "174",
["tex_float"] = "174",
["x"] = 174 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.09",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3 \\cdot 7 - 8",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(3 \\cdot 7 - 8)^2",
["typ"] = "mocnina" },
["render"] = "5 + (3 \\cdot 7 - 8)^2",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.1, bodu=12, $$6 - (\frac{10}{7} - 2)=\textcolor{white}{6\frac{4}{7}}$$return {
["body"] = 12,
["id"] = "3sjFJd_0811_0257",
["obtiznost"] = 0.1,
["reseni"] = {
["float"] = 6.5714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 46,
["jmenovatel"] = 7 },
["render"] = "\\frac{46}{7}",
["typ"] = "cislo" },
["tex"] = "6\\frac{4}{7}",
["x"] = 6,
["y"] = 4,
["z"] = 7 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.1",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "\\frac{10}{7} - 2",
["typ"] = "minus" },
["render"] = "(\\frac{10}{7} - 2)",
["typ"] = "zavorka" },
["render"] = "6 - (\\frac{10}{7} - 2)",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.11, bodu=6, $$8 + (-10 - 9) \cdot -6=\textcolor{white}{122}$$return {
["body"] = 6,
["id"] = "Zf7b0d_0811_0257",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 122,
["jmenovatel"] = 1 },
["render"] = "\\frac{122}{1}",
["typ"] = "cislo" },
["tex"] = "122",
["tex_float"] = "122",
["x"] = 122 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["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"] = "minus" },
["render"] = "(-10 - 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "(-10 - 9) \\cdot -6",
["typ"] = "krat" },
["render"] = "8 + (-10 - 9) \\cdot -6",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.12, bodu=13, $$\frac{\frac{4}{6}}{5}=\textcolor{white}{\frac{2}{15}}$$return {
["body"] = 13,
["id"] = "L8Fobr_0811_0257",
["obtiznost"] = 0.12,
["reseni"] = {
["float"] = 0.13333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 15 },
["render"] = "\\frac{2}{15}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{15}",
["y"] = 2,
["z"] = 15 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.12",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{4}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4}{6}}{5}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.13, bodu=7, $$-3 - (4 - (7 - 5))=\textcolor{white}{-5}$$return {
["body"] = 7,
["id"] = "bWek0Q_0811_0257",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "\\frac{-5}{1}",
["typ"] = "cislo" },
["tex"] = "-5",
["tex_float"] = "-5",
["x"] = -5 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.13",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 - 5",
["typ"] = "minus" },
["render"] = "(7 - 5)",
["typ"] = "zavorka" },
["render"] = "4 - (7 - 5)",
["typ"] = "minus" },
["render"] = "(4 - (7 - 5))",
["typ"] = "zavorka" },
["render"] = "-3 - (4 - (7 - 5))",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.14, bodu=14, $$\frac{-7}{4 - (-8 \cdot 4)}=\textcolor{white}{-\frac{7}{36}}$$return {
["body"] = 14,
["id"] = "kWlQCT_0811_0257",
["obtiznost"] = 0.14,
["reseni"] = {
["float"] = -0.19444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 36 },
["render"] = "\\frac{-7}{36}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{36}",
["y"] = -7,
["z"] = 36 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.14",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 4",
["typ"] = "krat" },
["render"] = "4 - (-8 \\cdot 4)",
["typ"] = "minus" },
["render"] = "\\frac{-7}{4 - (-8 \\cdot 4)}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.15, bodu=28, $$\frac{9}{1\frac{5}{6} \cdot 4}=\textcolor{white}{1\frac{5}{22}}$$return {
["body"] = 28,
["id"] = "Cwj69c_0811_0257",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 1.2272727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 22 },
["render"] = "\\frac{27}{22}",
["typ"] = "cislo" },
["tex"] = "1\\frac{5}{22}",
["x"] = 1,
["y"] = 5,
["z"] = 22 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{6} \\cdot 4",
["typ"] = "krat" },
["render"] = "\\frac{9}{1\\frac{5}{6} \\cdot 4}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.16, bodu=15, $$\frac{8 \cdot 5 + 12}{6}=\textcolor{white}{8\frac{2}{3}}$$return {
["body"] = 15,
["id"] = "hZgh09_0811_0257",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = 8.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 3 },
["render"] = "\\frac{52}{6}",
["typ"] = "cislo" },
["tex"] = "8\\frac{2}{3}",
["x"] = 8,
["y"] = 2,
["z"] = 3 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 \\cdot 5 + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot 5 + 12}{6}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.17, bodu=16, $$11 - \frac{-5 - 7}{10}=\textcolor{white}{12{,}2}$$return {
["body"] = 16,
["id"] = "OiB4H7_0811_0257",
["obtiznost"] = 0.17,
["reseni"] = {
["float"] = 12.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 5 },
["render"] = "\\frac{61}{5}",
["typ"] = "cislo" },
["tex"] = "12\\frac{1}{5}",
["tex_float"] = "12{,}2",
["x"] = 12,
["y"] = 1,
["z"] = 5 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-5 - 7",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-5 - 7}{10}",
["typ"] = "lomeno" },
["render"] = "11 - \\frac{-5 - 7}{10}",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.18, bodu=31, $$\frac{4\frac{1}{6} + \frac{7}{8}}{13}=\textcolor{white}{\frac{121}{312}}$$return {
["body"] = 31,
["id"] = "1ksbUR_0811_0257",
["obtiznost"] = 0.38,
["reseni"] = {
["float"] = 0.38782051282051,
["objekt"] = {
["hodnota"] = {
["citatel"] = 121,
["jmenovatel"] = 312 },
["render"] = "\\frac{121}{312}",
["typ"] = "cislo" },
["tex"] = "\\frac{121}{312}",
["y"] = 121,
["z"] = 312 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{7}{8}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{6} + \\frac{7}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{6} + \\frac{7}{8}}{13}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.19, bodu=8, $$(4 + 5 + 8) \cdot (9 - (-8))=\textcolor{white}{289}$$return {
["body"] = 8,
["id"] = "uRXOBQ_0811_0257",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 289,
["jmenovatel"] = 1 },
["render"] = "\\frac{289}{1}",
["typ"] = "cislo" },
["tex"] = "289",
["tex_float"] = "289",
["x"] = 289 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.19",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4 + 5",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4 + 5 + 8",
["typ"] = "plus" },
["render"] = "(4 + 5 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "9 - (-8)",
["typ"] = "minus" },
["render"] = "(9 - (-8))",
["typ"] = "zavorka" },
["render"] = "(4 + 5 + 8) \\cdot (9 - (-8))",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.2, bodu=9, $$(7 - 11 \cdot -6) \cdot -10=\textcolor{white}{-730}$$return {
["body"] = 9,
["id"] = "7LQ9VI_0811_0257",
["obtiznost"] = 0.2,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -730,
["jmenovatel"] = 1 },
["render"] = "\\frac{-730}{1}",
["typ"] = "cislo" },
["tex"] = "-730",
["tex_float"] = "-730",
["x"] = -730 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.2",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "11 \\cdot -6",
["typ"] = "krat" },
["render"] = "7 - 11 \\cdot -6",
["typ"] = "minus" },
["render"] = "(7 - 11 \\cdot -6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(7 - 11 \\cdot -6) \\cdot -10",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.21, bodu=18, $$\frac{9 \cdot -5}{-8} - 8=\textcolor{white}{-2{,}375}$$return {
["body"] = 18,
["id"] = "hKHtGg_0811_0257",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = -2.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 8 },
["render"] = "\\frac{-19}{8}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{3}{8}",
["tex_float"] = "-2{,}375",
["x"] = -2,
["y"] = 3,
["z"] = 8 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "9 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot -5}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot -5}{-8} - 8",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.22, bodu=36, $$(\frac{11 - 8 - 9}{7})^3=\textcolor{white}{-\frac{216}{343}}$$return {
["body"] = 36,
["id"] = "ciiv3D_0811_0257",
["obtiznost"] = 0.4436,
["reseni"] = {
["float"] = -0.62973760932945,
["objekt"] = {
["hodnota"] = {
["citatel"] = -216,
["jmenovatel"] = 343 },
["render"] = "\\frac{-216}{343}",
["typ"] = "cislo" },
["tex"] = "-\\frac{216}{343}",
["y"] = -216,
["z"] = 343 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.22",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "11 - 8 - 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{11 - 8 - 9}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{11 - 8 - 9}{7})^3",
["typ"] = "mocnina" } }
seed: NMGGlJ514j0xZml1gMy0_0.23, bodu=23, $$(\frac{11}{4})^2 \cdot -9 \cdot -14=\textcolor{white}{952{,}875}$$return {
["body"] = 23,
["id"] = "HpJIHs_0811_0257",
["obtiznost"] = 0.2848,
["reseni"] = {
["float"] = 952.875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7623,
["jmenovatel"] = 8 },
["render"] = "\\frac{15246}{16}",
["typ"] = "cislo" },
["tex"] = "952\\frac{7}{8}",
["tex_float"] = "952{,}875",
["x"] = 952,
["y"] = 7,
["z"] = 8 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.23",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{11}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{4})^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -14",
["typ"] = "krat" },
["render"] = "(\\frac{11}{4})^2 \\cdot -9 \\cdot -14",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.24, bodu=36, $$\frac{10}{\frac{3\frac{2}{6} + 8}{8}}=\textcolor{white}{7\frac{1}{17}}$$return {
["body"] = 36,
["id"] = "VLWRas_0811_0257",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = 7.0588235294118,
["objekt"] = {
["hodnota"] = {
["citatel"] = 120,
["jmenovatel"] = 17 },
["render"] = "\\frac{120}{17}",
["typ"] = "cislo" },
["tex"] = "7\\frac{1}{17}",
["x"] = 7,
["y"] = 1,
["z"] = 17 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.24",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{6} + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{6} + 8}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{10}{\\frac{3\\frac{2}{6} + 8}{8}}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.25, bodu=57, $$4\frac{3}{7} + 8 - 7 + 10 \cdot 3\frac{4}{6}=\textcolor{white}{42\frac{2}{21}}$$return {
["body"] = 57,
["id"] = "nCSHdb_0811_0257",
["obtiznost"] = 0.65,
["reseni"] = {
["float"] = 42.095238095238,
["objekt"] = {
["hodnota"] = {
["citatel"] = 884,
["jmenovatel"] = 21 },
["render"] = "\\frac{884}{21}",
["typ"] = "cislo" },
["tex"] = "42\\frac{2}{21}",
["x"] = 42,
["y"] = 2,
["z"] = 21 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["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"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 3\\frac{4}{6}",
["typ"] = "krat" },
["render"] = "8 - 7 + 10 \\cdot 3\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "4\\frac{3}{7} + 8 - 7 + 10 \\cdot 3\\frac{4}{6}",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.26, bodu=10, $$((-8 + (-8) - 10) \cdot (-5 - (-5)))^2=\textcolor{white}{0}$$return {
["body"] = 10,
["id"] = "6EsYFh_0811_0257",
["obtiznost"] = 0.2604,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.26",
["zadani"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-8 + (-8)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-8 + (-8) - 10",
["typ"] = "minus" },
["render"] = "(-8 + (-8) - 10)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-5 - (-5)",
["typ"] = "minus" },
["render"] = "(-5 - (-5))",
["typ"] = "zavorka" },
["render"] = "(-8 + (-8) - 10) \\cdot (-5 - (-5))",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((-8 + (-8) - 10) \\cdot (-5 - (-5)))^2",
["typ"] = "mocnina" } }
seed: NMGGlJ514j0xZml1gMy0_0.27, bodu=19, $$-10 \cdot 12 - (4 - 12)^3=\textcolor{white}{392}$$return {
["body"] = 19,
["id"] = "5JzzyA_0811_0257",
["obtiznost"] = 0.4752,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 392,
["jmenovatel"] = 1 },
["render"] = "\\frac{392}{1}",
["typ"] = "cislo" },
["tex"] = "392",
["x"] = 392 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 3,
["render"] = "(4 - 12)^3",
["typ"] = "mocnina" },
["render"] = "-10 \\cdot 12 - (4 - 12)^3",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.28, bodu=23, $$\frac{\frac{-7}{8}}{-11} + 6=\textcolor{white}{6\frac{7}{88}}$$return {
["body"] = 23,
["id"] = "UqDKzf_0811_0257",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = 6.0795454545455,
["objekt"] = {
["hodnota"] = {
["citatel"] = 535,
["jmenovatel"] = 88 },
["render"] = "\\frac{535}{88}",
["typ"] = "cislo" },
["tex"] = "6\\frac{7}{88}",
["x"] = 6,
["y"] = 7,
["z"] = 88 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-7}{8}}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-7}{8}}{-11} + 6",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.29, bodu=103, $$4\frac{5}{7} - 5 - ((-10 - 4\frac{5}{10})^2 + 14)=\textcolor{white}{-224\frac{15}{28}}$$return {
["body"] = 103,
["id"] = "ixvqqF_0811_0257",
["obtiznost"] = 1.028,
["reseni"] = {
["float"] = -224.53571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6287,
["jmenovatel"] = 28 },
["render"] = "\\frac{-6287}{28}",
["typ"] = "cislo" },
["tex"] = "-224\\frac{15}{28}",
["x"] = -224,
["y"] = 15,
["z"] = 28 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{7} - 5",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-10 - 4\\frac{5}{10}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-10 - 4\\frac{5}{10})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(-10 - 4\\frac{5}{10})^2 + 14",
["typ"] = "plus" },
["render"] = "((-10 - 4\\frac{5}{10})^2 + 14)",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{7} - 5 - ((-10 - 4\\frac{5}{10})^2 + 14)",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.3, bodu=41, $$9 + 3\frac{5}{6} \cdot 5 + (9 - 9)^3=\textcolor{white}{28\frac{1}{6}}$$return {
["body"] = 41,
["id"] = "mBsaiv_0811_0257",
["obtiznost"] = 0.5004,
["reseni"] = {
["float"] = 28.166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 169,
["jmenovatel"] = 6 },
["render"] = "\\frac{169}{6}",
["typ"] = "cislo" },
["tex"] = "28\\frac{1}{6}",
["x"] = 28,
["y"] = 1,
["z"] = 6 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 6 },
["render"] = "3\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{6} \\cdot 5",
["typ"] = "krat" },
["render"] = "9 + 3\\frac{5}{6} \\cdot 5",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 - 9",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - 9)^3",
["typ"] = "mocnina" },
["render"] = "9 + 3\\frac{5}{6} \\cdot 5 + (9 - 9)^3",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.31, bodu=42, $$-6 \cdot (12 \cdot -10 - 3\frac{4}{7})=\textcolor{white}{741\frac{3}{7}}$$return {
["body"] = 42,
["id"] = "2RTV9l_0811_0257",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 741.42857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5190,
["jmenovatel"] = 7 },
["render"] = "\\frac{5190}{7}",
["typ"] = "cislo" },
["tex"] = "741\\frac{3}{7}",
["x"] = 741,
["y"] = 3,
["z"] = 7 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "12 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "12 \\cdot -10 - 3\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "(12 \\cdot -10 - 3\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (12 \\cdot -10 - 3\\frac{4}{7})",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.32, bodu=13, $$7 \cdot (-7 - 14) - 6=\textcolor{white}{-153}$$return {
["body"] = 13,
["id"] = "WVo7Ps_0811_0257",
["obtiznost"] = 0.32,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -153,
["jmenovatel"] = 1 },
["render"] = "\\frac{-153}{1}",
["typ"] = "cislo" },
["tex"] = "-153",
["tex_float"] = "-153",
["x"] = -153 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-7 - 14",
["typ"] = "minus" },
["render"] = "(-7 - 14)",
["typ"] = "zavorka" },
["render"] = "7 \\cdot (-7 - 14)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "7 \\cdot (-7 - 14) - 6",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.33, bodu=66, $$-5 - \frac{3\frac{4}{8} \cdot 9}{2\frac{2}{3}}=\textcolor{white}{-16\frac{13}{16}}$$return {
["body"] = 66,
["id"] = "Kupn64_0811_0257",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -16.8125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -269,
["jmenovatel"] = 16 },
["render"] = "\\frac{-269}{16}",
["typ"] = "cislo" },
["tex"] = "-16\\frac{13}{16}",
["x"] = -16,
["y"] = 13,
["z"] = 16 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{8} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{8} \\cdot 9}{2\\frac{2}{3}}",
["typ"] = "lomeno" },
["render"] = "-5 - \\frac{3\\frac{4}{8} \\cdot 9}{2\\frac{2}{3}}",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.34, bodu=67, $$4 \cdot 2\frac{4}{9} \cdot 2\frac{5}{9} \cdot -7=\textcolor{white}{-174\frac{74}{81}}$$return {
["body"] = 67,
["id"] = "AtDwvh_0811_0257",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = -174.91358024691,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14168,
["jmenovatel"] = 81 },
["render"] = "\\frac{-14168}{81}",
["typ"] = "cislo" },
["tex"] = "-174\\frac{74}{81}",
["x"] = -174,
["y"] = 74,
["z"] = 81 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4 \\cdot 2\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} \\cdot -7",
["typ"] = "krat" },
["render"] = "4 \\cdot 2\\frac{4}{9} \\cdot 2\\frac{5}{9} \\cdot -7",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.35, bodu=46, $$\frac{13 + 10}{8 + 14 + 1\frac{2}{3} + 12}=\textcolor{white}{\frac{69}{107}}$$return {
["body"] = 46,
["id"] = "AP5gKW_0811_0257",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = 0.64485981308411,
["objekt"] = {
["hodnota"] = {
["citatel"] = 69,
["jmenovatel"] = 107 },
["render"] = "\\frac{69}{107}",
["typ"] = "cislo" },
["tex"] = "\\frac{69}{107}",
["y"] = 69,
["z"] = 107 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "13 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "14 + 1\\frac{2}{3}",
["typ"] = "plus" },
["render"] = "8 + 14 + 1\\frac{2}{3}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "8 + 14 + 1\\frac{2}{3} + 12",
["typ"] = "plus" },
["render"] = "\\frac{13 + 10}{8 + 14 + 1\\frac{2}{3} + 12}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.36, bodu=29, $$\frac{\frac{13}{12}}{-9} + 8=\textcolor{white}{7\frac{95}{108}}$$return {
["body"] = 29,
["id"] = "Fixuin_0811_0257",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = 7.8796296296296,
["objekt"] = {
["hodnota"] = {
["citatel"] = 851,
["jmenovatel"] = 108 },
["render"] = "\\frac{851}{108}",
["typ"] = "cislo" },
["tex"] = "7\\frac{95}{108}",
["x"] = 7,
["y"] = 95,
["z"] = 108 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{13}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13}{12}}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13}{12}}{-9} + 8",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.37, bodu=70, $$\frac{11 \cdot 3\frac{1}{6}}{-8 + 1\frac{5}{10}}=\textcolor{white}{-5\frac{14}{39}}$$return {
["body"] = 70,
["id"] = "TMyik2_0811_0257",
["obtiznost"] = 0.77,
["reseni"] = {
["float"] = -5.3589743589744,
["objekt"] = {
["hodnota"] = {
["citatel"] = -209,
["jmenovatel"] = 39 },
["render"] = "\\frac{418}{-78}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{14}{39}",
["x"] = -5,
["y"] = 14,
["z"] = 39 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 6 },
["render"] = "3\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 3\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-8 + 1\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "\\frac{11 \\cdot 3\\frac{1}{6}}{-8 + 1\\frac{5}{10}}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.38, bodu=49, $$15 \cdot 6 \cdot (1\frac{1}{3} + 5)=\textcolor{white}{570}$$return {
["body"] = 49,
["id"] = "Ll3WOl_0811_0257",
["obtiznost"] = 0.58,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 570,
["jmenovatel"] = 1 },
["render"] = "\\frac{570}{1}",
["typ"] = "cislo" },
["tex"] = "570",
["x"] = 570 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{3} + 5",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{3} + 5)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (1\\frac{1}{3} + 5)",
["typ"] = "krat" },
["render"] = "15 \\cdot 6 \\cdot (1\\frac{1}{3} + 5)",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.39, bodu=50, $$(12 - 12)^2 - (14 + \frac{-7}{3\frac{2}{6}})=\textcolor{white}{-11{,}9}$$return {
["body"] = 50,
["id"] = "X8r7BU_0811_0257",
["obtiznost"] = 0.5904,
["reseni"] = {
["float"] = -11.9,
["objekt"] = {
["hodnota"] = {
["citatel"] = -119,
["jmenovatel"] = 10 },
["render"] = "\\frac{-119}{10}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{9}{10}",
["tex_float"] = "-11{,}9",
["x"] = -11,
["y"] = 9,
["z"] = 10 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.39",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "12 - 12",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(12 - 12)^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{3\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "14 + \\frac{-7}{3\\frac{2}{6}}",
["typ"] = "plus" },
["render"] = "(14 + \\frac{-7}{3\\frac{2}{6}})",
["typ"] = "zavorka" },
["render"] = "(12 - 12)^2 - (14 + \\frac{-7}{3\\frac{2}{6}})",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.4, bodu=74, $$8 \cdot \frac{-7}{2\frac{3}{5}} \cdot 2\frac{1}{4}=\textcolor{white}{-48\frac{6}{13}}$$return {
["body"] = 74,
["id"] = "W0ScaL_0811_0257",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -48.461538461538,
["objekt"] = {
["hodnota"] = {
["citatel"] = -630,
["jmenovatel"] = 13 },
["render"] = "\\frac{-2520}{52}",
["typ"] = "cislo" },
["tex"] = "-48\\frac{6}{13}",
["x"] = -48,
["y"] = 6,
["z"] = 13 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{2\\frac{3}{5}}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{-7}{2\\frac{3}{5}}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "8 \\cdot \\frac{-7}{2\\frac{3}{5}} \\cdot 2\\frac{1}{4}",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.41, bodu=52, $$(-10 + 11)^3 + 1\frac{5}{6} \cdot -8 \cdot -13=\textcolor{white}{191\frac{2}{3}}$$return {
["body"] = 52,
["id"] = "hJoukL_0811_0257",
["obtiznost"] = 0.6108,
["reseni"] = {
["float"] = 191.66666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 575,
["jmenovatel"] = 3 },
["render"] = "\\frac{575}{3}",
["typ"] = "cislo" },
["tex"] = "191\\frac{2}{3}",
["x"] = 191,
["y"] = 2,
["z"] = 3 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.41",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-10 + 11",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-10 + 11)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{6} \\cdot -8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{6} \\cdot -8 \\cdot -13",
["typ"] = "krat" },
["render"] = "(-10 + 11)^3 + 1\\frac{5}{6} \\cdot -8 \\cdot -13",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.42, bodu=83, $$\frac{2\frac{1}{7} - (-15 \cdot 6)}{(12 + 13)^2}=\textcolor{white}{\frac{129}{875}}$$return {
["body"] = 83,
["id"] = "bQHgZ3_0811_0257",
["obtiznost"] = 0.8704,
["reseni"] = {
["float"] = 0.14742857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 129,
["jmenovatel"] = 875 },
["render"] = "\\frac{645}{4375}",
["typ"] = "cislo" },
["tex"] = "\\frac{129}{875}",
["y"] = 129,
["z"] = 875 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.42",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 6",
["typ"] = "krat" },
["render"] = "2\\frac{1}{7} - (-15 \\cdot 6)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "12 + 13",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(12 + 13)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{1}{7} - (-15 \\cdot 6)}{(12 + 13)^2}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.43, bodu=55, $$\frac{-17}{13} + \frac{3\frac{4}{9}}{-12 + (-11)}=\textcolor{white}{-1\frac{1231}{2691}}$$return {
["body"] = 55,
["id"] = "2pGz5F_0811_0257",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = -1.4574507617986,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3922,
["jmenovatel"] = 2691 },
["render"] = "\\frac{-3922}{2691}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1231}{2691}",
["x"] = -1,
["y"] = 1231,
["z"] = 2691 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-12 + (-11)",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{4}{9}}{-12 + (-11)}",
["typ"] = "lomeno" },
["render"] = "\\frac{-17}{13} + \\frac{3\\frac{4}{9}}{-12 + (-11)}",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.44, bodu=79, $$\frac{2\frac{3}{5} \cdot -11}{11 + 4\frac{2}{5} - (13 + 9)}=\textcolor{white}{4\frac{1}{3}}$$return {
["body"] = 79,
["id"] = "6gxT7K_0811_0257",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = 4.3333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "\\frac{-715}{-165}",
["typ"] = "cislo" },
["tex"] = "4\\frac{1}{3}",
["x"] = 4,
["y"] = 1,
["z"] = 3 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.44",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{5} \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "11 + 4\\frac{2}{5}",
["typ"] = "plus" },
["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"] = "plus" },
["render"] = "(13 + 9)",
["typ"] = "zavorka" },
["render"] = "11 + 4\\frac{2}{5} - (13 + 9)",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{3}{5} \\cdot -11}{11 + 4\\frac{2}{5} - (13 + 9)}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.45, bodu=80, $$\frac{\frac{2\frac{5}{9}}{-13}}{2\frac{3}{7}} \cdot -12=\textcolor{white}{\frac{644}{663}}$$return {
["body"] = 80,
["id"] = "38qX8A_0811_0257",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = 0.97134238310709,
["objekt"] = {
["hodnota"] = {
["citatel"] = 644,
["jmenovatel"] = 663 },
["render"] = "\\frac{1932}{1989}",
["typ"] = "cislo" },
["tex"] = "\\frac{644}{663}",
["y"] = 644,
["z"] = 663 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{9}}{-13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{5}{9}}{-13}}{2\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{5}{9}}{-13}}{2\\frac{3}{7}} \\cdot -12",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.46, bodu=81, $$(\frac{2\frac{1}{6}}{2\frac{5}{9}} + 12 - (-10)) \cdot -9=\textcolor{white}{-205\frac{29}{46}}$$return {
["body"] = 81,
["id"] = "BxAS87_0811_0257",
["obtiznost"] = 0.86,
["reseni"] = {
["float"] = -205.63043478261,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9459,
["jmenovatel"] = 46 },
["render"] = "\\frac{-9459}{46}",
["typ"] = "cislo" },
["tex"] = "-205\\frac{29}{46}",
["x"] = -205,
["y"] = 29,
["z"] = 46 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.46",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{6}}{2\\frac{5}{9}}",
["typ"] = "lomeno" },
["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"] = "minus" },
["render"] = "\\frac{2\\frac{1}{6}}{2\\frac{5}{9}} + 12 - (-10)",
["typ"] = "plus" },
["render"] = "(\\frac{2\\frac{1}{6}}{2\\frac{5}{9}} + 12 - (-10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(\\frac{2\\frac{1}{6}}{2\\frac{5}{9}} + 12 - (-10)) \\cdot -9",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.47, bodu=83, $$9 - 4\frac{2}{9} + (-7 \cdot -10 - 3\frac{3}{7})=\textcolor{white}{71\frac{22}{63}}$$return {
["body"] = 83,
["id"] = "XoppZ8_0811_0257",
["obtiznost"] = 0.87,
["reseni"] = {
["float"] = 71.349206349206,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4495,
["jmenovatel"] = 63 },
["render"] = "\\frac{4495}{63}",
["typ"] = "cislo" },
["tex"] = "71\\frac{22}{63}",
["x"] = 71,
["y"] = 22,
["z"] = 63 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "9 - 4\\frac{2}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -10 - 3\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "9 - 4\\frac{2}{9} + (-7 \\cdot -10 - 3\\frac{3}{7})",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.48, bodu=70, $$-13 + \frac{15 + 2\frac{5}{6}}{(\frac{-11}{10})^2}=\textcolor{white}{1\frac{268}{363}}$$return {
["body"] = 70,
["id"] = "x5IgB9_0811_0257",
["obtiznost"] = 0.7684,
["reseni"] = {
["float"] = 1.7382920110193,
["objekt"] = {
["hodnota"] = {
["citatel"] = 631,
["jmenovatel"] = 363 },
["render"] = "\\frac{631}{363}",
["typ"] = "cislo" },
["tex"] = "1\\frac{268}{363}",
["x"] = 1,
["y"] = 268,
["z"] = 363 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "15 + 2\\frac{5}{6}",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-11}{10})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{15 + 2\\frac{5}{6}}{(\\frac{-11}{10})^2}",
["typ"] = "lomeno" },
["render"] = "-13 + \\frac{15 + 2\\frac{5}{6}}{(\\frac{-11}{10})^2}",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.49, bodu=61, $$\frac{\frac{10 + 1\frac{5}{10}}{\frac{7}{-12}}}{11}=\textcolor{white}{-1\frac{61}{77}}$$return {
["body"] = 61,
["id"] = "5AgPns_0811_0257",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = -1.7922077922078,
["objekt"] = {
["hodnota"] = {
["citatel"] = -138,
["jmenovatel"] = 77 },
["render"] = "\\frac{-138}{77}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{61}{77}",
["x"] = -1,
["y"] = 61,
["z"] = 77 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "10 + 1\\frac{5}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{10 + 1\\frac{5}{10}}{\\frac{7}{-12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{10 + 1\\frac{5}{10}}{\\frac{7}{-12}}}{11}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.5, bodu=113, $$(1\frac{2}{6} - 2\frac{1}{5} - (-9)) \cdot (3\frac{3}{6} + 7)=\textcolor{white}{85{,}4}$$return {
["body"] = 113,
["id"] = "aF2PRZ_0811_0257",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 85.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 427,
["jmenovatel"] = 5 },
["render"] = "\\frac{2562}{30}",
["typ"] = "cislo" },
["tex"] = "85\\frac{2}{5}",
["tex_float"] = "85{,}4",
["x"] = 85,
["y"] = 2,
["z"] = 5 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.5",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} - 2\\frac{1}{5}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} - 2\\frac{1}{5} - (-9)",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{6} - 2\\frac{1}{5} - (-9))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{6} + 7",
["typ"] = "plus" },
["render"] = "(3\\frac{3}{6} + 7)",
["typ"] = "zavorka" },
["render"] = "(1\\frac{2}{6} - 2\\frac{1}{5} - (-9)) \\cdot (3\\frac{3}{6} + 7)",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.51, bodu=63, $$(7 + 12 - (1\frac{4}{10} + (-8))) \cdot \frac{6}{-7}=\textcolor{white}{-21\frac{33}{35}}$$return {
["body"] = 63,
["id"] = "M9o5N7_0811_0257",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = -21.942857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -768,
["jmenovatel"] = 35 },
["render"] = "\\frac{-768}{35}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{33}{35}",
["x"] = -21,
["y"] = 33,
["z"] = 35 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.51",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "7 + 12",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} + (-8)",
["typ"] = "plus" },
["render"] = "(1\\frac{4}{10} + (-8))",
["typ"] = "zavorka" },
["render"] = "7 + 12 - (1\\frac{4}{10} + (-8))",
["typ"] = "minus" },
["render"] = "(7 + 12 - (1\\frac{4}{10} + (-8)))",
["typ"] = "zavorka" },
["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"] = "(7 + 12 - (1\\frac{4}{10} + (-8))) \\cdot \\frac{6}{-7}",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.52, bodu=89, $$(4\frac{5}{12} - (-10)) \cdot \frac{-7 \cdot 1\frac{4}{9}}{-14}=\textcolor{white}{10\frac{89}{216}}$$return {
["body"] = 89,
["id"] = "67WjsL_0811_0257",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 10.412037037037,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2249,
["jmenovatel"] = 216 },
["render"] = "\\frac{2249}{216}",
["typ"] = "cislo" },
["tex"] = "10\\frac{89}{216}",
["x"] = 10,
["y"] = 89,
["z"] = 216 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.52",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{12} - (-10)",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{12} - (-10))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 1\\frac{4}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-7 \\cdot 1\\frac{4}{9}}{-14}",
["typ"] = "lomeno" },
["render"] = "(4\\frac{5}{12} - (-10)) \\cdot \\frac{-7 \\cdot 1\\frac{4}{9}}{-14}",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.53, bodu=22, $$9 \cdot 9 - (-7 \cdot 7 - (-10))=\textcolor{white}{120}$$return {
["body"] = 22,
["id"] = "0QaTcB_0811_0257",
["obtiznost"] = 0.53,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 120,
["jmenovatel"] = 1 },
["render"] = "\\frac{120}{1}",
["typ"] = "cislo" },
["tex"] = "120",
["tex_float"] = "120",
["x"] = 120 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 7 - (-10)",
["typ"] = "minus" },
["render"] = "(-7 \\cdot 7 - (-10))",
["typ"] = "zavorka" },
["render"] = "9 \\cdot 9 - (-7 \\cdot 7 - (-10))",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.54, bodu=67, $$4\frac{3}{7} - (-15 + \frac{7}{11}) - (-12)=\textcolor{white}{30\frac{61}{77}}$$return {
["body"] = 67,
["id"] = "kSVgB3_0811_0257",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = 30.792207792208,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2371,
["jmenovatel"] = 77 },
["render"] = "\\frac{2371}{77}",
["typ"] = "cislo" },
["tex"] = "30\\frac{61}{77}",
["x"] = 30,
["y"] = 61,
["z"] = 77 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "-15 + \\frac{7}{11}",
["typ"] = "plus" },
["render"] = "(-15 + \\frac{7}{11})",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{7} - (-15 + \\frac{7}{11})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} - (-15 + \\frac{7}{11}) - (-12)",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.55, bodu=93, $$(7 + 2\frac{3}{8}) \cdot \frac{11}{15 - 1\frac{1}{9}}=\textcolor{white}{7{,}425}$$return {
["body"] = 93,
["id"] = "TdeG9c_0811_0257",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = 7.425,
["objekt"] = {
["hodnota"] = {
["citatel"] = 297,
["jmenovatel"] = 40 },
["render"] = "\\frac{7425}{1000}",
["typ"] = "cislo" },
["tex"] = "7\\frac{17}{40}",
["tex_float"] = "7{,}425",
["x"] = 7,
["y"] = 17,
["z"] = 40 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.55",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "7 + 2\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(7 + 2\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["render"] = "15 - 1\\frac{1}{9}",
["typ"] = "minus" },
["render"] = "\\frac{11}{15 - 1\\frac{1}{9}}",
["typ"] = "lomeno" },
["render"] = "(7 + 2\\frac{3}{8}) \\cdot \\frac{11}{15 - 1\\frac{1}{9}}",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.56, bodu=122, $$\frac{1\frac{2}{5} - 1\frac{5}{9} - (-6)}{\frac{-5}{3\frac{1}{4}}}=\textcolor{white}{-3\frac{719}{900}}$$return {
["body"] = 122,
["id"] = "Nexm3b_0811_0257",
["obtiznost"] = 1.16,
["reseni"] = {
["float"] = -3.7988888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3419,
["jmenovatel"] = 900 },
["render"] = "\\frac{3419}{-900}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{719}{900}",
["x"] = -3,
["y"] = 719,
["z"] = 900 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} - 1\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} - 1\\frac{5}{9} - (-6)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{-5}{3\\frac{1}{4}}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{2}{5} - 1\\frac{5}{9} - (-6)}{\\frac{-5}{3\\frac{1}{4}}}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.57, bodu=123, $$(2\frac{3}{10} - (12 + 7) \cdot 4\frac{2}{6}) \cdot (-17 + 4\frac{1}{6})=\textcolor{white}{1027\frac{17}{180}}$$return {
["body"] = 123,
["id"] = "y1yqgB_0811_0257",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = 1027.0944444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 184877,
["jmenovatel"] = 180 },
["render"] = "\\frac{184877}{180}",
["typ"] = "cislo" },
["tex"] = "1027\\frac{17}{180}",
["x"] = 1027,
["y"] = 17,
["z"] = 180 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.57",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "12 + 7",
["typ"] = "plus" },
["render"] = "(12 + 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(12 + 7) \\cdot 4\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "2\\frac{3}{10} - (12 + 7) \\cdot 4\\frac{2}{6}",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{10} - (12 + 7) \\cdot 4\\frac{2}{6})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-17 + 4\\frac{1}{6}",
["typ"] = "plus" },
["render"] = "(-17 + 4\\frac{1}{6})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{3}{10} - (12 + 7) \\cdot 4\\frac{2}{6}) \\cdot (-17 + 4\\frac{1}{6})",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.58, bodu=125, $$\frac{4 \cdot (1\frac{3}{9} - (-8))}{1\frac{4}{10}} \cdot 3\frac{4}{7}=\textcolor{white}{95\frac{5}{21}}$$return {
["body"] = 125,
["id"] = "yHxesT_0811_0257",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = 95.238095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2000,
["jmenovatel"] = 21 },
["render"] = "\\frac{2000}{21}",
["typ"] = "cislo" },
["tex"] = "95\\frac{5}{21}",
["x"] = 95,
["y"] = 5,
["z"] = 21 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} - (-8)",
["typ"] = "minus" },
["render"] = "(1\\frac{3}{9} - (-8))",
["typ"] = "zavorka" },
["render"] = "4 \\cdot (1\\frac{3}{9} - (-8))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot (1\\frac{3}{9} - (-8))}{1\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 7 },
["render"] = "3\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4 \\cdot (1\\frac{3}{9} - (-8))}{1\\frac{4}{10}} \\cdot 3\\frac{4}{7}",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.59, bodu=73, $$-13 - 8 - \frac{-2}{\frac{-2}{3\frac{3}{7}}}=\textcolor{white}{-24\frac{3}{7}}$$return {
["body"] = 73,
["id"] = "mF21Lz_0811_0257",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = -24.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = -171,
["jmenovatel"] = 7 },
["render"] = "\\frac{-171}{7}",
["typ"] = "cislo" },
["tex"] = "-24\\frac{3}{7}",
["x"] = -24,
["y"] = 3,
["z"] = 7 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-13 - 8",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-2}{3\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-2}{\\frac{-2}{3\\frac{3}{7}}}",
["typ"] = "lomeno" },
["render"] = "-13 - 8 - \\frac{-2}{\\frac{-2}{3\\frac{3}{7}}}",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.6, bodu=78, $$\frac{13}{(\frac{9 \cdot -4}{12})^4 + 1\frac{5}{7} - 17}=\textcolor{white}{\frac{91}{460}}$$return {
["body"] = 78,
["id"] = "pivaG5_0811_0257",
["obtiznost"] = 0.8328,
["reseni"] = {
["float"] = 0.19782608695652,
["objekt"] = {
["hodnota"] = {
["citatel"] = 91,
["jmenovatel"] = 460 },
["render"] = "\\frac{91}{460}",
["typ"] = "cislo" },
["tex"] = "\\frac{91}{460}",
["y"] = 91,
["z"] = 460 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.6",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "9 \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{9 \\cdot -4}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{9 \\cdot -4}{12})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "(\\frac{9 \\cdot -4}{12})^4 + 1\\frac{5}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "(\\frac{9 \\cdot -4}{12})^4 + 1\\frac{5}{7} - 17",
["typ"] = "minus" },
["render"] = "\\frac{13}{(\\frac{9 \\cdot -4}{12})^4 + 1\\frac{5}{7} - 17}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.61, bodu=75, $$17 - (2\frac{5}{6} \cdot 12 \cdot 17 - 15)=\textcolor{white}{-546}$$return {
["body"] = 75,
["id"] = "uWSHWr_0811_0257",
["obtiznost"] = 0.81,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -546,
["jmenovatel"] = 1 },
["render"] = "\\frac{-546}{1}",
["typ"] = "cislo" },
["tex"] = "-546",
["x"] = -546 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{6} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{6} \\cdot 12 \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{6} \\cdot 12 \\cdot 17 - 15",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{6} \\cdot 12 \\cdot 17 - 15)",
["typ"] = "zavorka" },
["render"] = "17 - (2\\frac{5}{6} \\cdot 12 \\cdot 17 - 15)",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.62, bodu=79, $$(17 \cdot 2\frac{1}{3} + (-5 \cdot -14)) \cdot (11 + (-4))^2=\textcolor{white}{5373\frac{2}{3}}$$return {
["body"] = 79,
["id"] = "2uu9JB_0811_0257",
["obtiznost"] = 0.84,
["reseni"] = {
["float"] = 5373.6666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16121,
["jmenovatel"] = 3 },
["render"] = "\\frac{16121}{3}",
["typ"] = "cislo" },
["tex"] = "5373\\frac{2}{3}",
["x"] = 5373,
["y"] = 2,
["z"] = 3 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.62",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "17 \\cdot 2\\frac{1}{3}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-5 \\cdot -14",
["typ"] = "krat" },
["render"] = "17 \\cdot 2\\frac{1}{3} + (-5 \\cdot -14)",
["typ"] = "plus" },
["render"] = "(17 \\cdot 2\\frac{1}{3} + (-5 \\cdot -14))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "11 + (-4)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(11 + (-4))^2",
["typ"] = "mocnina" },
["render"] = "(17 \\cdot 2\\frac{1}{3} + (-5 \\cdot -14)) \\cdot (11 + (-4))^2",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.63, bodu=55, $$8 \cdot \frac{\frac{-13}{-11 + 18}}{-9}=\textcolor{white}{1\frac{41}{63}}$$return {
["body"] = 55,
["id"] = "9bUguI_0811_0257",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = 1.6507936507937,
["objekt"] = {
["hodnota"] = {
["citatel"] = 104,
["jmenovatel"] = 63 },
["render"] = "\\frac{104}{63}",
["typ"] = "cislo" },
["tex"] = "1\\frac{41}{63}",
["x"] = 1,
["y"] = 41,
["z"] = 63 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-11 + 18",
["typ"] = "plus" },
["render"] = "\\frac{-13}{-11 + 18}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-13}{-11 + 18}}{-9}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{\\frac{-13}{-11 + 18}}{-9}",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.64, bodu=98, $$20 \cdot -13 - \frac{(1\frac{5}{10} + (-11))^2 + (-12)}{-12}=\textcolor{white}{-253\frac{23}{48}}$$return {
["body"] = 98,
["id"] = "P8YXm2_0811_0257",
["obtiznost"] = 0.986,
["reseni"] = {
["float"] = -253.47916666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -12167,
["jmenovatel"] = 48 },
["render"] = "\\frac{-12167}{48}",
["typ"] = "cislo" },
["tex"] = "-253\\frac{23}{48}",
["x"] = -253,
["y"] = 23,
["z"] = 48 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "20 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} + (-11)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{5}{10} + (-11))^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "(1\\frac{5}{10} + (-11))^2 + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{5}{10} + (-11))^2 + (-12)}{-12}",
["typ"] = "lomeno" },
["render"] = "20 \\cdot -13 - \\frac{(1\\frac{5}{10} + (-11))^2 + (-12)}{-12}",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.65, bodu=135, $$\frac{2\frac{2}{8}}{(-11 - (-17)) \cdot (4\frac{3}{4} + 4\frac{5}{9})} - (-7)=\textcolor{white}{7\frac{27}{670}}$$return {
["body"] = 135,
["id"] = "lSOOva_0811_0257",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = 7.0402985074627,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4717,
["jmenovatel"] = 670 },
["render"] = "\\frac{4717}{670}",
["typ"] = "cislo" },
["tex"] = "7\\frac{27}{670}",
["x"] = 7,
["y"] = 27,
["z"] = 670 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "-11 - (-17)",
["typ"] = "minus" },
["render"] = "(-11 - (-17))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{4} + 4\\frac{5}{9}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{4} + 4\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "(-11 - (-17)) \\cdot (4\\frac{3}{4} + 4\\frac{5}{9})",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{2}{8}}{(-11 - (-17)) \\cdot (4\\frac{3}{4} + 4\\frac{5}{9})}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{8}}{(-11 - (-17)) \\cdot (4\\frac{3}{4} + 4\\frac{5}{9})} - (-7)",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.66, bodu=108, $$\frac{15 + (-12) + 2\frac{3}{10} + (-7)}{\frac{4\frac{2}{9}}{-10} + 14}=\textcolor{white}{-\frac{153}{1222}}$$return {
["body"] = 108,
["id"] = "3duUPY_0811_0257",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = -0.12520458265139,
["objekt"] = {
["hodnota"] = {
["citatel"] = -153,
["jmenovatel"] = 1222 },
["render"] = "\\frac{-765}{6110}",
["typ"] = "cislo" },
["tex"] = "-\\frac{153}{1222}",
["y"] = -153,
["z"] = 1222 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "15 + (-12)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} + (-7)",
["typ"] = "plus" },
["render"] = "15 + (-12) + 2\\frac{3}{10} + (-7)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{9}}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{9}}{-10} + 14",
["typ"] = "plus" },
["render"] = "\\frac{15 + (-12) + 2\\frac{3}{10} + (-7)}{\\frac{4\\frac{2}{9}}{-10} + 14}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.67, bodu=109, $$\frac{3 \cdot 5}{\frac{1\frac{5}{10}}{11} + 2\frac{5}{11}}=\textcolor{white}{5\frac{15}{19}}$$return {
["body"] = 109,
["id"] = "nm4pGd_0811_0257",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 5.7894736842105,
["objekt"] = {
["hodnota"] = {
["citatel"] = 110,
["jmenovatel"] = 19 },
["render"] = "\\frac{330}{57}",
["typ"] = "cislo" },
["tex"] = "5\\frac{15}{19}",
["x"] = 5,
["y"] = 15,
["z"] = 19 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "3 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{10}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{10}}{11} + 2\\frac{5}{11}",
["typ"] = "plus" },
["render"] = "\\frac{3 \\cdot 5}{\\frac{1\\frac{5}{10}}{11} + 2\\frac{5}{11}}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.68, bodu=87, $$(-17 + (-12 \cdot 3\frac{2}{7})) \cdot (10 + (\frac{-2}{-16})^2)=\textcolor{white}{-565\frac{75}{448}}$$return {
["body"] = 87,
["id"] = "8hfD1R_0811_0257",
["obtiznost"] = 0.906,
["reseni"] = {
["float"] = -565.16741071429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -253195,
["jmenovatel"] = 448 },
["render"] = "\\frac{-253195}{448}",
["typ"] = "cislo" },
["tex"] = "-565\\frac{75}{448}",
["x"] = -565,
["y"] = 75,
["z"] = 448 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.68",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 3\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "-17 + (-12 \\cdot 3\\frac{2}{7})",
["typ"] = "plus" },
["render"] = "(-17 + (-12 \\cdot 3\\frac{2}{7}))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{-2}{-16}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-2}{-16})^2",
["typ"] = "mocnina" },
["render"] = "10 + (\\frac{-2}{-16})^2",
["typ"] = "plus" },
["render"] = "(10 + (\\frac{-2}{-16})^2)",
["typ"] = "zavorka" },
["render"] = "(-17 + (-12 \\cdot 3\\frac{2}{7})) \\cdot (10 + (\\frac{-2}{-16})^2)",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.69, bodu=112, $$\frac{8}{2\frac{4}{10}} \cdot (2\frac{3}{7} - (-5 - 11))=\textcolor{white}{61\frac{3}{7}}$$return {
["body"] = 112,
["id"] = "VS8fnP_0811_0257",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = 61.428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 430,
["jmenovatel"] = 7 },
["render"] = "\\frac{1290}{21}",
["typ"] = "cislo" },
["tex"] = "61\\frac{3}{7}",
["x"] = 61,
["y"] = 3,
["z"] = 7 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{8}{2\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-5 - 11",
["typ"] = "minus" },
["render"] = "(-5 - 11)",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{7} - (-5 - 11)",
["typ"] = "minus" },
["render"] = "(2\\frac{3}{7} - (-5 - 11))",
["typ"] = "zavorka" },
["render"] = "\\frac{8}{2\\frac{4}{10}} \\cdot (2\\frac{3}{7} - (-5 - 11))",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.7, bodu=121, $$\frac{\frac{\frac{-7}{4\frac{2}{9}}}{(19 - 14)^4}}{-16}=\textcolor{white}{\frac{63}{380000}}$$return {
["body"] = 121,
["id"] = "D8r8BH_0811_0257",
["obtiznost"] = 1.1504,
["reseni"] = {
["float"] = 0.00016578947368421,
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 380000 },
["render"] = "\\frac{-63}{-380000}",
["typ"] = "cislo" },
["tex"] = "\\frac{63}{380000}",
["y"] = 63,
["z"] = 380000 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{-7}{4\\frac{2}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "19 - 14",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(19 - 14)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{\\frac{-7}{4\\frac{2}{9}}}{(19 - 14)^4}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{\\frac{-7}{4\\frac{2}{9}}}{(19 - 14)^4}}{-16}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.71, bodu=144, $$4\frac{1}{9} \cdot -4 \cdot \frac{\frac{15}{3\frac{2}{7}}}{3\frac{5}{12}}=\textcolor{white}{-21\frac{917}{943}}$$return {
["body"] = 144,
["id"] = "8pxZPO_0811_0257",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = -21.972428419936,
["objekt"] = {
["hodnota"] = {
["citatel"] = -20720,
["jmenovatel"] = 943 },
["render"] = "\\frac{-186480}{8487}",
["typ"] = "cislo" },
["tex"] = "-21\\frac{917}{943}",
["x"] = -21,
["y"] = 917,
["z"] = 943 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 9 },
["render"] = "4\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{9} \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{3\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{15}{3\\frac{2}{7}}}{3\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{9} \\cdot -4 \\cdot \\frac{\\frac{15}{3\\frac{2}{7}}}{3\\frac{5}{12}}",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.72, bodu=89, $$\frac{-18 + \frac{\frac{12}{14}}{15}}{2\frac{2}{5}}=\textcolor{white}{-7\frac{10}{21}}$$return {
["body"] = 89,
["id"] = "NA2wND_0811_0257",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = -7.4761904761905,
["objekt"] = {
["hodnota"] = {
["citatel"] = -157,
["jmenovatel"] = 21 },
["render"] = "\\frac{-3140}{420}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{10}{21}",
["x"] = -7,
["y"] = 10,
["z"] = 21 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{12}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{12}{14}}{15}",
["typ"] = "lomeno" },
["render"] = "-18 + \\frac{\\frac{12}{14}}{15}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-18 + \\frac{\\frac{12}{14}}{15}}{2\\frac{2}{5}}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.73, bodu=118, $$-20 + 11 + 4\frac{4}{8} + 7 + \frac{-14 - 2\frac{1}{6}}{-5}=\textcolor{white}{5\frac{11}{15}}$$return {
["body"] = 118,
["id"] = "UvmXcL_0811_0257",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = 5.7333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 86,
["jmenovatel"] = 15 },
["render"] = "\\frac{344}{60}",
["typ"] = "cislo" },
["tex"] = "5\\frac{11}{15}",
["x"] = 5,
["y"] = 11,
["z"] = 15 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-20 + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-20 + 11 + 4\\frac{4}{8}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-14 - 2\\frac{1}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{-14 - 2\\frac{1}{6}}{-5}",
["typ"] = "lomeno" },
["render"] = "7 + \\frac{-14 - 2\\frac{1}{6}}{-5}",
["typ"] = "plus" },
["render"] = "-20 + 11 + 4\\frac{4}{8} + 7 + \\frac{-14 - 2\\frac{1}{6}}{-5}",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.74, bodu=165, $$\frac{1\frac{5}{9}}{2\frac{3}{13}} \cdot (-13 - (-9))^4 \cdot 2\frac{1}{5}=\textcolor{white}{392\frac{952}{1305}}$$return {
["body"] = 165,
["id"] = "tDyb4d_0811_0257",
["obtiznost"] = 1.4428,
["reseni"] = {
["float"] = 392.72950191571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 512512,
["jmenovatel"] = 1305 },
["render"] = "\\frac{512512}{1305}",
["typ"] = "cislo" },
["tex"] = "392\\frac{952}{1305}",
["x"] = 392,
["y"] = 952,
["z"] = 1305 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 13 },
["render"] = "2\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9}}{2\\frac{3}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["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" },
["mocnitel"] = 4,
["render"] = "(-13 - (-9))^4",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{5}{9}}{2\\frac{3}{13}} \\cdot (-13 - (-9))^4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9}}{2\\frac{3}{13}} \\cdot (-13 - (-9))^4 \\cdot 2\\frac{1}{5}",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.75, bodu=218, $$-9 \cdot (4\frac{3}{11} - 3\frac{5}{10} \cdot 3\frac{2}{4}) + 2\frac{2}{8} - 4\frac{4}{13}=\textcolor{white}{69\frac{211}{286}}$$return {
["body"] = 218,
["id"] = "ieE14R_0811_0257",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = 69.737762237762,
["objekt"] = {
["hodnota"] = {
["citatel"] = 19945,
["jmenovatel"] = 286 },
["render"] = "\\frac{19945}{286}",
["typ"] = "cislo" },
["tex"] = "69\\frac{211}{286}",
["x"] = 69,
["y"] = 211,
["z"] = 286 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot 3\\frac{2}{4}",
["typ"] = "krat" },
["render"] = "4\\frac{3}{11} - 3\\frac{5}{10} \\cdot 3\\frac{2}{4}",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{11} - 3\\frac{5}{10} \\cdot 3\\frac{2}{4})",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (4\\frac{3}{11} - 3\\frac{5}{10} \\cdot 3\\frac{2}{4})",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot (4\\frac{3}{11} - 3\\frac{5}{10} \\cdot 3\\frac{2}{4}) + 2\\frac{2}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot (4\\frac{3}{11} - 3\\frac{5}{10} \\cdot 3\\frac{2}{4}) + 2\\frac{2}{8} - 4\\frac{4}{13}",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.76, bodu=152, $$(2\frac{5}{8} + 10 + (-4)) \cdot (1\frac{5}{12} - 2\frac{2}{6} - 9)=\textcolor{white}{-85\frac{17}{32}}$$return {
["body"] = 152,
["id"] = "A1452D_0811_0257",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = -85.53125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2737,
["jmenovatel"] = 32 },
["render"] = "\\frac{-8211}{96}",
["typ"] = "cislo" },
["tex"] = "-85\\frac{17}{32}",
["x"] = -85,
["y"] = 17,
["z"] = 32 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.76",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} + 10",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} + 10 + (-4)",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{8} + 10 + (-4))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} - 2\\frac{2}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} - 2\\frac{2}{6} - 9",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{12} - 2\\frac{2}{6} - 9)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{5}{8} + 10 + (-4)) \\cdot (1\\frac{5}{12} - 2\\frac{2}{6} - 9)",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.77, bodu=187, $$(2\frac{3}{10} + 2\frac{4}{7} - 2\frac{5}{10} + 4\frac{2}{10}) \cdot -8 \cdot 14=\textcolor{white}{-736}$$return {
["body"] = 187,
["id"] = "umXfjC_0811_0257",
["obtiznost"] = 1.57,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -736,
["jmenovatel"] = 1 },
["render"] = "\\frac{-5152}{7}",
["typ"] = "cislo" },
["tex"] = "-736",
["x"] = -736 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.77",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} + 2\\frac{4}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} + 2\\frac{4}{7} - 2\\frac{5}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} + 2\\frac{4}{7} - 2\\frac{5}{10} + 4\\frac{2}{10}",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{10} + 2\\frac{4}{7} - 2\\frac{5}{10} + 4\\frac{2}{10})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 14",
["typ"] = "krat" },
["render"] = "(2\\frac{3}{10} + 2\\frac{4}{7} - 2\\frac{5}{10} + 4\\frac{2}{10}) \\cdot -8 \\cdot 14",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.78, bodu=155, $$(2\frac{3}{6} + 10) \cdot 2\frac{1}{2} - (-8 + 2\frac{2}{4} \cdot -10)=\textcolor{white}{64{,}25}$$return {
["body"] = 155,
["id"] = "po7KFN_0811_0257",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = 64.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 257,
["jmenovatel"] = 4 },
["render"] = "\\frac{257}{4}",
["typ"] = "cislo" },
["tex"] = "64\\frac{1}{4}",
["tex_float"] = "64{,}25",
["x"] = 64,
["y"] = 1,
["z"] = 4 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.78",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{6} + 10",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{6} + 10)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "(2\\frac{3}{6} + 10) \\cdot 2\\frac{1}{2}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} \\cdot -10",
["typ"] = "krat" },
["render"] = "-8 + 2\\frac{2}{4} \\cdot -10",
["typ"] = "plus" },
["render"] = "(-8 + 2\\frac{2}{4} \\cdot -10)",
["typ"] = "zavorka" },
["render"] = "(2\\frac{3}{6} + 10) \\cdot 2\\frac{1}{2} - (-8 + 2\\frac{2}{4} \\cdot -10)",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.79, bodu=126, $$\frac{3\frac{2}{10}}{9} - (10 \cdot 17 - 2\frac{1}{5})=\textcolor{white}{-167\frac{4}{9}}$$return {
["body"] = 126,
["id"] = "MgIZry_0811_0257",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -167.44444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1507,
["jmenovatel"] = 9 },
["render"] = "\\frac{-37675}{225}",
["typ"] = "cislo" },
["tex"] = "-167\\frac{4}{9}",
["x"] = -167,
["y"] = 4,
["z"] = 9 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{10}}{9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "10 \\cdot 17",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "10 \\cdot 17 - 2\\frac{1}{5}",
["typ"] = "minus" },
["render"] = "(10 \\cdot 17 - 2\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{2}{10}}{9} - (10 \\cdot 17 - 2\\frac{1}{5})",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.8, bodu=192, $$\frac{18}{2\frac{5}{6}} - (2\frac{3}{8} - 1\frac{1}{4} + 4\frac{5}{9} + 12 - (-11))=\textcolor{white}{-22\frac{401}{1224}}$$return {
["body"] = 192,
["id"] = "oa1mFc_0811_0257",
["obtiznost"] = 1.6,
["reseni"] = {
["float"] = -22.327614379085,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27329,
["jmenovatel"] = 1224 },
["render"] = "\\frac{-27329}{1224}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{401}{1224}",
["x"] = -22,
["y"] = 401,
["z"] = 1224 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{18}{2\\frac{5}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} - 1\\frac{1}{4}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} - 1\\frac{1}{4} + 4\\frac{5}{9}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "12 - (-11)",
["typ"] = "minus" },
["render"] = "2\\frac{3}{8} - 1\\frac{1}{4} + 4\\frac{5}{9} + 12 - (-11)",
["typ"] = "plus" },
["render"] = "(2\\frac{3}{8} - 1\\frac{1}{4} + 4\\frac{5}{9} + 12 - (-11))",
["typ"] = "zavorka" },
["render"] = "\\frac{18}{2\\frac{5}{6}} - (2\\frac{3}{8} - 1\\frac{1}{4} + 4\\frac{5}{9} + 12 - (-11))",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.81, bodu=179, $$8 - \frac{3\frac{5}{12} \cdot 3\frac{2}{8}}{18} \cdot (10 + 18)^2=\textcolor{white}{-475\frac{35}{54}}$$return {
["body"] = 179,
["id"] = "hp4EMq_0811_0257",
["obtiznost"] = 1.524,
["reseni"] = {
["float"] = -475.64814814815,
["objekt"] = {
["hodnota"] = {
["citatel"] = -25685,
["jmenovatel"] = 54 },
["render"] = "\\frac{-25685}{54}",
["typ"] = "cislo" },
["tex"] = "-475\\frac{35}{54}",
["x"] = -475,
["y"] = 35,
["z"] = 54 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} \\cdot 3\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{12} \\cdot 3\\frac{2}{8}}{18}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "10 + 18",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(10 + 18)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{3\\frac{5}{12} \\cdot 3\\frac{2}{8}}{18} \\cdot (10 + 18)^2",
["typ"] = "krat" },
["render"] = "8 - \\frac{3\\frac{5}{12} \\cdot 3\\frac{2}{8}}{18} \\cdot (10 + 18)^2",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.82, bodu=152, $$-7 \cdot 2\frac{3}{12} + (\frac{9}{1\frac{4}{14}})^3 - (-12 \cdot -8)=\textcolor{white}{231{,}25}$$return {
["body"] = 152,
["id"] = "bAf0eT_0811_0257",
["obtiznost"] = 1.3576,
["reseni"] = {
["float"] = 231.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 925,
["jmenovatel"] = 4 },
["render"] = "\\frac{925}{4}",
["typ"] = "cislo" },
["tex"] = "231\\frac{1}{4}",
["tex_float"] = "231{,}25",
["x"] = 231,
["y"] = 1,
["z"] = 4 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 2\\frac{3}{12}",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{1\\frac{4}{14}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{9}{1\\frac{4}{14}})^3",
["typ"] = "mocnina" },
["render"] = "-7 \\cdot 2\\frac{3}{12} + (\\frac{9}{1\\frac{4}{14}})^3",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-12 \\cdot -8",
["typ"] = "krat" },
["render"] = "-7 \\cdot 2\\frac{3}{12} + (\\frac{9}{1\\frac{4}{14}})^3 - (-12 \\cdot -8)",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.83, bodu=132, $$3\frac{4}{8} \cdot (15 + 6 - \frac{-6 - 2\frac{2}{10}}{-19})=\textcolor{white}{71\frac{94}{95}}$$return {
["body"] = 132,
["id"] = "nlfICI_0811_0257",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = 71.989473684211,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6839,
["jmenovatel"] = 95 },
["render"] = "\\frac{13678}{190}",
["typ"] = "cislo" },
["tex"] = "71\\frac{94}{95}",
["x"] = 71,
["y"] = 94,
["z"] = 95 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.83",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "15 + 6",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "-6 - 2\\frac{2}{10}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{-6 - 2\\frac{2}{10}}{-19}",
["typ"] = "lomeno" },
["render"] = "15 + 6 - \\frac{-6 - 2\\frac{2}{10}}{-19}",
["typ"] = "minus" },
["render"] = "(15 + 6 - \\frac{-6 - 2\\frac{2}{10}}{-19})",
["typ"] = "zavorka" },
["render"] = "3\\frac{4}{8} \\cdot (15 + 6 - \\frac{-6 - 2\\frac{2}{10}}{-19})",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.84, bodu=165, $$\frac{-10 \cdot (-7 - 1\frac{2}{7}) + 3\frac{5}{11} \cdot 1\frac{2}{9}}{18}=\textcolor{white}{4\frac{475}{567}}$$return {
["body"] = 165,
["id"] = "B0aXE9_0811_0257",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = 4.8377425044092,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2743,
["jmenovatel"] = 567 },
["render"] = "\\frac{5486}{1134}",
["typ"] = "cislo" },
["tex"] = "4\\frac{475}{567}",
["x"] = 4,
["y"] = 475,
["z"] = 567 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-7 - 1\\frac{2}{7}",
["typ"] = "minus" },
["render"] = "(-7 - 1\\frac{2}{7})",
["typ"] = "zavorka" },
["render"] = "-10 \\cdot (-7 - 1\\frac{2}{7})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{11} \\cdot 1\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "-10 \\cdot (-7 - 1\\frac{2}{7}) + 3\\frac{5}{11} \\cdot 1\\frac{2}{9}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{-10 \\cdot (-7 - 1\\frac{2}{7}) + 3\\frac{5}{11} \\cdot 1\\frac{2}{9}}{18}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.85, bodu=234, $$4\frac{2}{9} \cdot (\frac{3\frac{4}{9} \cdot 9 \cdot 3\frac{3}{9}}{-10})^2=\textcolor{white}{450\frac{68}{81}}$$return {
["body"] = 234,
["id"] = "FvT13g_0811_0257",
["obtiznost"] = 1.838,
["reseni"] = {
["float"] = 450.83950617284,
["objekt"] = {
["hodnota"] = {
["citatel"] = 36518,
["jmenovatel"] = 81 },
["render"] = "\\frac{36518}{81}",
["typ"] = "cislo" },
["tex"] = "450\\frac{68}{81}",
["x"] = 450,
["y"] = 68,
["z"] = 81 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.85",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{9} \\cdot 9 \\cdot 3\\frac{3}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{4}{9} \\cdot 9 \\cdot 3\\frac{3}{9}}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{4}{9} \\cdot 9 \\cdot 3\\frac{3}{9}}{-10})^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{2}{9} \\cdot (\\frac{3\\frac{4}{9} \\cdot 9 \\cdot 3\\frac{3}{9}}{-10})^2",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.86, bodu=137, $$(-12 - (-12))^3 - 2\frac{4}{8} + (-20 - (2\frac{2}{8} - 9) - (-15))=\textcolor{white}{-0{,}75}$$return {
["body"] = 137,
["id"] = "hJ52NZ_0811_0257",
["obtiznost"] = 1.2604,
["reseni"] = {
["float"] = -0.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 4 },
["render"] = "\\frac{-6}{8}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{4}",
["tex_float"] = "-0{,}75",
["y"] = -3,
["z"] = 4 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-12 - (-12)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-12 - (-12))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(-12 - (-12))^3 - 2\\frac{4}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} - 9",
["typ"] = "minus" },
["render"] = "(2\\frac{2}{8} - 9)",
["typ"] = "zavorka" },
["render"] = "-20 - (2\\frac{2}{8} - 9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-20 - (2\\frac{2}{8} - 9) - (-15)",
["typ"] = "minus" },
["render"] = "(-12 - (-12))^3 - 2\\frac{4}{8} + (-20 - (2\\frac{2}{8} - 9) - (-15))",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.87, bodu=170, $$(-23 + \frac{2\frac{4}{6}}{1\frac{1}{8} - 11}) \cdot (-5 - 15 + 2\frac{1}{10})=\textcolor{white}{416\frac{253}{474}}$$return {
["body"] = 170,
["id"] = "sJODRh_0811_0257",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = 416.53375527426,
["objekt"] = {
["hodnota"] = {
["citatel"] = 197437,
["jmenovatel"] = 474 },
["render"] = "\\frac{987185}{2370}",
["typ"] = "cislo" },
["tex"] = "416\\frac{253}{474}",
["x"] = 416,
["y"] = 253,
["z"] = 474 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.87",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} - 11",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{4}{6}}{1\\frac{1}{8} - 11}",
["typ"] = "lomeno" },
["render"] = "-23 + \\frac{2\\frac{4}{6}}{1\\frac{1}{8} - 11}",
["typ"] = "plus" },
["render"] = "(-23 + \\frac{2\\frac{4}{6}}{1\\frac{1}{8} - 11})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "-5 - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "-5 - 15 + 2\\frac{1}{10}",
["typ"] = "plus" },
["render"] = "(-5 - 15 + 2\\frac{1}{10})",
["typ"] = "zavorka" },
["render"] = "(-23 + \\frac{2\\frac{4}{6}}{1\\frac{1}{8} - 11}) \\cdot (-5 - 15 + 2\\frac{1}{10})",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.88, bodu=111, $$16 + 2\frac{3}{6} \cdot (\frac{10}{-17} - (14 - (-9)))=\textcolor{white}{-42\frac{33}{34}}$$return {
["body"] = 111,
["id"] = "zfz6Bs_0811_0257",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = -42.970588235294,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1461,
["jmenovatel"] = 34 },
["render"] = "\\frac{-1461}{34}",
["typ"] = "cislo" },
["tex"] = "-42\\frac{33}{34}",
["x"] = -42,
["y"] = 33,
["z"] = 34 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-17}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(14 - (-9))",
["typ"] = "zavorka" },
["render"] = "\\frac{10}{-17} - (14 - (-9))",
["typ"] = "minus" },
["render"] = "(\\frac{10}{-17} - (14 - (-9)))",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{6} \\cdot (\\frac{10}{-17} - (14 - (-9)))",
["typ"] = "krat" },
["render"] = "16 + 2\\frac{3}{6} \\cdot (\\frac{10}{-17} - (14 - (-9)))",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.89, bodu=228, $$(14 + 2\frac{2}{8}) \cdot (2\frac{2}{9} \cdot 3\frac{4}{10} + (-8))^3 \cdot 4=\textcolor{white}{-5\frac{515}{729}}$$return {
["body"] = 228,
["id"] = "ymgSJi_0811_0257",
["obtiznost"] = 1.8072,
["reseni"] = {
["float"] = -5.7064471879287,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4160,
["jmenovatel"] = 729 },
["render"] = "\\frac{-4160}{729}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{515}{729}",
["x"] = -5,
["y"] = 515,
["z"] = 729 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "14 + 2\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "(14 + 2\\frac{2}{8})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} \\cdot 3\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} \\cdot 3\\frac{4}{10} + (-8)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(2\\frac{2}{9} \\cdot 3\\frac{4}{10} + (-8))^3",
["typ"] = "mocnina" },
["render"] = "(14 + 2\\frac{2}{8}) \\cdot (2\\frac{2}{9} \\cdot 3\\frac{4}{10} + (-8))^3",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(14 + 2\\frac{2}{8}) \\cdot (2\\frac{2}{9} \\cdot 3\\frac{4}{10} + (-8))^3 \\cdot 4",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.9, bodu=113, $$-9 \cdot (-10 - (-6 + 8 + 1\frac{4}{11} - (-11 \cdot -21)))=\textcolor{white}{-1958\frac{8}{11}}$$return {
["body"] = 113,
["id"] = "5jPjZM_0811_0257",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = -1958.7272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21546,
["jmenovatel"] = 11 },
["render"] = "\\frac{-21546}{11}",
["typ"] = "cislo" },
["tex"] = "-1958\\frac{8}{11}",
["x"] = -1958,
["y"] = 8,
["z"] = 11 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.9",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 11 },
["render"] = "1\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -21",
["typ"] = "krat" },
["render"] = "1\\frac{4}{11} - (-11 \\cdot -21)",
["typ"] = "minus" },
["render"] = "8 + 1\\frac{4}{11} - (-11 \\cdot -21)",
["typ"] = "plus" },
["render"] = "-6 + 8 + 1\\frac{4}{11} - (-11 \\cdot -21)",
["typ"] = "plus" },
["render"] = "(-6 + 8 + 1\\frac{4}{11} - (-11 \\cdot -21))",
["typ"] = "zavorka" },
["render"] = "-10 - (-6 + 8 + 1\\frac{4}{11} - (-11 \\cdot -21))",
["typ"] = "minus" },
["render"] = "(-10 - (-6 + 8 + 1\\frac{4}{11} - (-11 \\cdot -21)))",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (-10 - (-6 + 8 + 1\\frac{4}{11} - (-11 \\cdot -21)))",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.91, bodu=211, $$\frac{3\frac{2}{9} - (-11) + 4\frac{1}{7}}{22} \cdot (1\frac{1}{3} - 1\frac{3}{11})=\textcolor{white}{\frac{1157}{22869}}$$return {
["body"] = 211,
["id"] = "aGOuHO_0811_0257",
["obtiznost"] = 1.71,
["reseni"] = {
["float"] = 0.05059250513796,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1157,
["jmenovatel"] = 22869 },
["render"] = "\\frac{2314}{45738}",
["typ"] = "cislo" },
["tex"] = "\\frac{1157}{22869}",
["y"] = 1157,
["z"] = 22869 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} - (-11) + 4\\frac{1}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{9} - (-11) + 4\\frac{1}{7}}{22}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 11 },
["render"] = "1\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{3} - 1\\frac{3}{11}",
["typ"] = "minus" },
["render"] = "(1\\frac{1}{3} - 1\\frac{3}{11})",
["typ"] = "zavorka" },
["render"] = "\\frac{3\\frac{2}{9} - (-11) + 4\\frac{1}{7}}{22} \\cdot (1\\frac{1}{3} - 1\\frac{3}{11})",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.92, bodu=252, $$-5 \cdot (1\frac{3}{6} + 4\frac{5}{10})^2 \cdot \frac{3\frac{5}{8}}{\frac{4\frac{1}{7}}{4\frac{3}{7}}}=\textcolor{white}{-697{,}5}$$return {
["body"] = 252,
["id"] = "8gR4i8_0811_0257",
["obtiznost"] = 1.9348,
["reseni"] = {
["float"] = -697.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1395,
["jmenovatel"] = 2 },
["render"] = "\\frac{-5580}{8}",
["typ"] = "cislo" },
["tex"] = "-697\\frac{1}{2}",
["tex_float"] = "-697{,}5",
["x"] = -697,
["y"] = 1,
["z"] = 2 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} + 4\\frac{5}{10}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{3}{6} + 4\\frac{5}{10})^2",
["typ"] = "mocnina" },
["render"] = "-5 \\cdot (1\\frac{3}{6} + 4\\frac{5}{10})^2",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{7}}{4\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{5}{8}}{\\frac{4\\frac{1}{7}}{4\\frac{3}{7}}}",
["typ"] = "lomeno" },
["render"] = "-5 \\cdot (1\\frac{3}{6} + 4\\frac{5}{10})^2 \\cdot \\frac{3\\frac{5}{8}}{\\frac{4\\frac{1}{7}}{4\\frac{3}{7}}}",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.93, bodu=148, $$\frac{-9 \cdot \frac{-14}{2\frac{3}{10}} - 3\frac{4}{12} \cdot 10}{18}=\textcolor{white}{1\frac{119}{621}}$$return {
["body"] = 148,
["id"] = "fcjDhM_0811_0257",
["obtiznost"] = 1.33,
["reseni"] = {
["float"] = 1.1916264090177,
["objekt"] = {
["hodnota"] = {
["citatel"] = 740,
["jmenovatel"] = 621 },
["render"] = "\\frac{1480}{1242}",
["typ"] = "cislo" },
["tex"] = "1\\frac{119}{621}",
["x"] = 1,
["y"] = 119,
["z"] = 621 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{2\\frac{3}{10}}",
["typ"] = "lomeno" },
["render"] = "-9 \\cdot \\frac{-14}{2\\frac{3}{10}}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{12} \\cdot 10",
["typ"] = "krat" },
["render"] = "-9 \\cdot \\frac{-14}{2\\frac{3}{10}} - 3\\frac{4}{12} \\cdot 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "\\frac{-9 \\cdot \\frac{-14}{2\\frac{3}{10}} - 3\\frac{4}{12} \\cdot 10}{18}",
["typ"] = "lomeno" } }
seed: NMGGlJ514j0xZml1gMy0_0.94, bodu=149, $$-23 - (4\frac{4}{12} - (-9)) \cdot 22 \cdot (-17 - 3\frac{3}{12})=\textcolor{white}{5917}$$return {
["body"] = 149,
["id"] = "P622e8_0811_0257",
["obtiznost"] = 1.34,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 5917,
["jmenovatel"] = 1 },
["render"] = "\\frac{5917}{1}",
["typ"] = "cislo" },
["tex"] = "5917",
["tex_float"] = "5917",
["x"] = 5917 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.94",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} - (-9)",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{12} - (-9))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "(4\\frac{4}{12} - (-9)) \\cdot 22",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "-17 - 3\\frac{3}{12}",
["typ"] = "minus" },
["render"] = "(-17 - 3\\frac{3}{12})",
["typ"] = "zavorka" },
["render"] = "(4\\frac{4}{12} - (-9)) \\cdot 22 \\cdot (-17 - 3\\frac{3}{12})",
["typ"] = "krat" },
["render"] = "-23 - (4\\frac{4}{12} - (-9)) \\cdot 22 \\cdot (-17 - 3\\frac{3}{12})",
["typ"] = "minus" } }
seed: NMGGlJ514j0xZml1gMy0_0.95, bodu=218, $$(\frac{4\frac{3}{11}}{3\frac{5}{11}} - \frac{4\frac{2}{5}}{-12}) \cdot -19 + 3\frac{1}{12}=\textcolor{white}{-27\frac{23}{60}}$$return {
["body"] = 218,
["id"] = "SPbaGG_0811_0257",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = -27.383333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1643,
["jmenovatel"] = 60 },
["render"] = "\\frac{-4929}{180}",
["typ"] = "cislo" },
["tex"] = "-27\\frac{23}{60}",
["x"] = -27,
["y"] = 23,
["z"] = 60 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{11}}{3\\frac{5}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{5}}{-12}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{3}{11}}{3\\frac{5}{11}} - \\frac{4\\frac{2}{5}}{-12}",
["typ"] = "minus" },
["render"] = "(\\frac{4\\frac{3}{11}}{3\\frac{5}{11}} - \\frac{4\\frac{2}{5}}{-12})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "(\\frac{4\\frac{3}{11}}{3\\frac{5}{11}} - \\frac{4\\frac{2}{5}}{-12}) \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 12 },
["render"] = "3\\frac{1}{12}",
["typ"] = "cislo" },
["render"] = "(\\frac{4\\frac{3}{11}}{3\\frac{5}{11}} - \\frac{4\\frac{2}{5}}{-12}) \\cdot -19 + 3\\frac{1}{12}",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.96, bodu=185, $$3\frac{5}{7} - (-11) + 2\frac{2}{7} \cdot \frac{3\frac{5}{12}}{-19} \cdot -14=\textcolor{white}{20\frac{187}{399}}$$return {
["body"] = 185,
["id"] = "CrDhjU_0811_0257",
["obtiznost"] = 1.56,
["reseni"] = {
["float"] = 20.468671679198,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8167,
["jmenovatel"] = 399 },
["render"] = "\\frac{8167}{399}",
["typ"] = "cislo" },
["tex"] = "20\\frac{187}{399}",
["x"] = 20,
["y"] = 187,
["z"] = 399 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{7} - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{12}}{-19}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{12}}{-19} \\cdot -14",
["typ"] = "krat" },
["render"] = "2\\frac{2}{7} \\cdot \\frac{3\\frac{5}{12}}{-19} \\cdot -14",
["typ"] = "krat" },
["render"] = "3\\frac{5}{7} - (-11) + 2\\frac{2}{7} \\cdot \\frac{3\\frac{5}{12}}{-19} \\cdot -14",
["typ"] = "plus" } }
seed: NMGGlJ514j0xZml1gMy0_0.97, bodu=154, $$4\frac{2}{10} \cdot (2\frac{5}{11} - (-14)) \cdot 20 \cdot -7 \cdot -7=\textcolor{white}{67726\frac{10}{11}}$$return {
["body"] = 154,
["id"] = "jrmZqA_0811_0257",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = 67726.909090909,
["objekt"] = {
["hodnota"] = {
["citatel"] = 744996,
["jmenovatel"] = 11 },
["render"] = "\\frac{744996}{11}",
["typ"] = "cislo" },
["tex"] = "67726\\frac{10}{11}",
["x"] = 67726,
["y"] = 10,
["z"] = 11 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - (-14)",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{11} - (-14))",
["typ"] = "zavorka" },
["render"] = "4\\frac{2}{10} \\cdot (2\\frac{5}{11} - (-14))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} \\cdot (2\\frac{5}{11} - (-14)) \\cdot 20",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} \\cdot (2\\frac{5}{11} - (-14)) \\cdot 20 \\cdot -7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} \\cdot (2\\frac{5}{11} - (-14)) \\cdot 20 \\cdot -7 \\cdot -7",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.98, bodu=168, $$(\frac{-15}{12})^3 \cdot 1\frac{1}{5} \cdot (4\frac{5}{11} - 15) \cdot 13=\textcolor{white}{321\frac{27}{88}}$$return {
["body"] = 168,
["id"] = "ifz1my_0811_0257",
["obtiznost"] = 1.4556,
["reseni"] = {
["float"] = 321.30681818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = 28275,
["jmenovatel"] = 88 },
["render"] = "\\frac{28275}{88}",
["typ"] = "cislo" },
["tex"] = "321\\frac{27}{88}",
["x"] = 321,
["y"] = 27,
["z"] = 88 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{12}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-15}{12})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} - 15",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{11} - 15)",
["typ"] = "zavorka" },
["render"] = "1\\frac{1}{5} \\cdot (4\\frac{5}{11} - 15)",
["typ"] = "krat" },
["render"] = "(\\frac{-15}{12})^3 \\cdot 1\\frac{1}{5} \\cdot (4\\frac{5}{11} - 15)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(\\frac{-15}{12})^3 \\cdot 1\\frac{1}{5} \\cdot (4\\frac{5}{11} - 15) \\cdot 13",
["typ"] = "krat" } }
seed: NMGGlJ514j0xZml1gMy0_0.99, bodu=225, $$4\frac{5}{10} \cdot (2\frac{5}{11} - 11) \cdot 2\frac{2}{10} \cdot 12 \cdot 1\frac{1}{4}=\textcolor{white}{-1269}$$return {
["body"] = 225,
["id"] = "9NB3cu_0811_0257",
["obtiznost"] = 1.79,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1269,
["jmenovatel"] = 1 },
["render"] = "\\frac{-13959}{11}",
["typ"] = "cislo" },
["tex"] = "-1269",
["tex_float"] = "-1269",
["x"] = -1269 },
["seed"] = "NMGGlJ514j0xZml1gMy0_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} - 11",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{11} - 11)",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{10} \\cdot (2\\frac{5}{11} - 11)",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{10} \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{10} \\cdot 12 \\cdot 1\\frac{1}{4}",
["typ"] = "krat" },
["render"] = "4\\frac{5}{10} \\cdot (2\\frac{5}{11} - 11) \\cdot 2\\frac{2}{10} \\cdot 12 \\cdot 1\\frac{1}{4}",
["typ"] = "krat" } }
13-ecstatic-dog-gifs_a-cupcake.webp:
1YQJ.gif: 
1aj.gif: 
200w.gif: 
2l8dhkg.gif: 
5ba.gif: 
AS001921_15.gif: 
Anime-dancegfhjd_o_826631.gif: 
EmbarrassedCoolCanvasback-size_restricted.gif: 
GIF-Dancing-celebrate-celebration-dance-Ecstatic-happy-happy-dance-joy-success-woo-hoo-GIF.gif: 
Lucky-star-good-job-o.gif: 
SpanishForcefulfsdgIcelandicsheepdog-max-1mb.gif: 
Toothless_ecstatic_claps.gif: 
UJrA.gif: 
VEKsdfggfd0.gif: 
anime-cegfdhhhlebration-gif-9.gif: 
anime-celefdghdfgfbration-gif-13.gif: 
aph1.gif: 
apollon_by_kokorokeke-dbykcqz.gif: 
asduaiod.gif: 
asfdouip.gif: 
b8bf8658dd216b2ec14a1b9a27123f20.gif: 
boosdfgsmlebron.gif: 
bounce1.gif: 
celebrattrertyte.gif: 
crazy-celebrdfgation.gif: 
db2e5c45e2cabf7a2540bd6257889599.gif: 
dddaftenor.gif: 
dribble_good_arabic.gif: 
ecstatic-gif-4.gif: 
ecstatic-gif-8.gif: 
ecstatic.gif: 
eid-celebrationfdgh-around-the-world-photos.gif: 
f8f99505ebbf8c2de07aee9405607e92.gif: 
fa8e0dcaa2cac4d78bf0062922ec75d2c8c69893_hq.gif: 
ghjwryxbnvcfgetiphy.gif: 
gigdsfddsphy.gif: 
gigdsfghwephy.gif: 
giphdfghdhay.gif: 
giphfsdafsy.gif: 
giphwetwereuy.gif: 
giphyasdfafsd-325.gif: 
gsfdgiphy.gif: 
gsgsdghfgsdfhkiphy.gif: 
happy_animation_by_strawberrycrescent-d9qi27u.gif: 
happy_bearded_mustached_jack_running_and_jumping_game_character.gif: 
harrypotter-snape-clapping.gif: 
hsk.gif: 
idafstyiuyosdf.gif: 
imageproxy.gif.5b7d7be152c7d2ff29acdc13dabb2ebd.gif: 
jocelyn_ecstatic__animated__by_tsnow-d7kwtd6.gif: 
joyyy.gif: 
nahodny_obrazek1.gif: 
nahodny_obrazek2.gif: 
poehler.gif: 
popas.gif: 
source.gif: 
tedfghdfghnor.gif: 
tefwretjhwnor.gif: 
tenfgfgdor.gif: 
tenfghfghdhor.gif: 
tenodfghdfghhhr.gif: 
tenohhsfffr.gif: 
tettt.gif: 
thumbs-up-matt-leblanc.gif: 
tumblr_m2p6z8jG7z1qfmf4ko1_400.gif: 
tumblr_m5464bwVFv1qihztbo1_400.gif: 
tumblr_o9lpv7EqCG1udh5n8o1_500.gif: 
tumblr_okscz3AtvD1vmh648o1_400.gif: 
untitled-1.gif: 
vUn8eIh.gif: 
well-done-jennifer-anniston-clap-applause-2.gif: 