- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: E4z7V47fG8wfmM9CexuM_0, bodu=5, $$5 - 6 \cdot 4 + 7=\textcolor{white}{-12}$$return {
["body"] = 5,
["id"] = "HocOE7_0922_0602",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "\\frac{-12}{1}",
["typ"] = "cislo" },
["tex"] = "-12",
["tex_float"] = "-12",
["x"] = -12 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 \\cdot 4",
["typ"] = "krat" },
["render"] = "5 - 6 \\cdot 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 - 6 \\cdot 4 + 7",
["typ"] = "plus" } }
seed: E4z7V47fG8wfmM9CexuM_0.01, bodu=10, $$\frac{(-4 + 7)^3}{9 + 4}=\textcolor{white}{2\frac{1}{13}}$$return {
["body"] = 10,
["id"] = "tsqpqu_0922_0602",
["obtiznost"] = 0.0212,
["reseni"] = {
["float"] = 2.0769230769231,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 13 },
["render"] = "\\frac{27}{13}",
["typ"] = "cislo" },
["tex"] = "2\\frac{1}{13}",
["x"] = 2,
["y"] = 1,
["z"] = 13 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.01",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-4 + 7",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(-4 + 7)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "9 + 4",
["typ"] = "plus" },
["render"] = "\\frac{(-4 + 7)^3}{9 + 4}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.02, bodu=5, $$(-5 - (4 + 9)) \cdot 9=\textcolor{white}{-162}$$return {
["body"] = 5,
["id"] = "7nGCqy_0922_0602",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -162,
["jmenovatel"] = 1 },
["render"] = "\\frac{-162}{1}",
["typ"] = "cislo" },
["tex"] = "-162",
["x"] = -162 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.02",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "4 + 9",
["typ"] = "plus" },
["render"] = "(4 + 9)",
["typ"] = "zavorka" },
["render"] = "-5 - (4 + 9)",
["typ"] = "minus" },
["render"] = "(-5 - (4 + 9))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(-5 - (4 + 9)) \\cdot 9",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.03, bodu=10, $$\frac{\frac{7}{10}}{6}=\textcolor{white}{\frac{7}{60}}$$return {
["body"] = 10,
["id"] = "qH53te_0922_0602",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 0.11666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 60 },
["render"] = "\\frac{7}{60}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{60}",
["y"] = 7,
["z"] = 60 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{7}{10}}{6}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.04, bodu=5, $$9 + 9 \cdot (6 + 7)=\textcolor{white}{126}$$return {
["body"] = 5,
["id"] = "OtDxBi_0922_0602",
["obtiznost"] = 0.04,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 126,
["jmenovatel"] = 1 },
["render"] = "\\frac{126}{1}",
["typ"] = "cislo" },
["tex"] = "126",
["tex_float"] = "126",
["x"] = 126 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.04",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "6 + 7",
["typ"] = "plus" },
["render"] = "(6 + 7)",
["typ"] = "zavorka" },
["render"] = "9 \\cdot (6 + 7)",
["typ"] = "krat" },
["render"] = "9 + 9 \\cdot (6 + 7)",
["typ"] = "plus" } }
seed: E4z7V47fG8wfmM9CexuM_0.05, bodu=5, $$7 \cdot 9 \cdot 6=\textcolor{white}{378}$$return {
["body"] = 5,
["id"] = "UdUsjx_0922_0602",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 378,
["jmenovatel"] = 1 },
["render"] = "\\frac{378}{1}",
["typ"] = "cislo" },
["tex"] = "378",
["x"] = 378 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.05",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 6",
["typ"] = "krat" },
["render"] = "7 \\cdot 9 \\cdot 6",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.06, bodu=5, $$-4 - (5 + (-8 \cdot 5))=\textcolor{white}{31}$$return {
["body"] = 5,
["id"] = "1C5afl_0922_0602",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 1 },
["render"] = "\\frac{31}{1}",
["typ"] = "cislo" },
["tex"] = "31",
["tex_float"] = "31",
["x"] = 31 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-8 \\cdot 5",
["typ"] = "krat" },
["render"] = "5 + (-8 \\cdot 5)",
["typ"] = "plus" },
["render"] = "(5 + (-8 \\cdot 5))",
["typ"] = "zavorka" },
["render"] = "-4 - (5 + (-8 \\cdot 5))",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.07, bodu=11, $$\frac{-7}{8 \cdot (11 + (-8))}=\textcolor{white}{-\frac{7}{24}}$$return {
["body"] = 11,
["id"] = "BwI3V9_0922_0602",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = -0.29166666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 24 },
["render"] = "\\frac{-7}{24}",
["typ"] = "cislo" },
["tex"] = "-\\frac{7}{24}",
["y"] = -7,
["z"] = 24 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "11 + (-8)",
["typ"] = "plus" },
["render"] = "(11 + (-8))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (11 + (-8))",
["typ"] = "krat" },
["render"] = "\\frac{-7}{8 \\cdot (11 + (-8))}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.08, bodu=29, $$(8 + (7 + 7)^2 + 9) \cdot 2\frac{3}{4}=\textcolor{white}{585{,}75}$$return {
["body"] = 29,
["id"] = "yHAByq_0922_0602",
["obtiznost"] = 0.3588,
["reseni"] = {
["float"] = 585.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2343,
["jmenovatel"] = 4 },
["render"] = "\\frac{2343}{4}",
["typ"] = "cislo" },
["tex"] = "585\\frac{3}{4}",
["tex_float"] = "585{,}75",
["x"] = 585,
["y"] = 3,
["z"] = 4 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.08",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 + 7",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 7)^2",
["typ"] = "mocnina" },
["render"] = "8 + (7 + 7)^2",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 + (7 + 7)^2 + 9",
["typ"] = "plus" },
["render"] = "(8 + (7 + 7)^2 + 9)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "(8 + (7 + 7)^2 + 9) \\cdot 2\\frac{3}{4}",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.09, bodu=12, $$\frac{3 + 8}{6} \cdot 8=\textcolor{white}{14\frac{2}{3}}$$return {
["body"] = 12,
["id"] = "pqP8D8_0922_0602",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = 14.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 44,
["jmenovatel"] = 3 },
["render"] = "\\frac{88}{6}",
["typ"] = "cislo" },
["tex"] = "14\\frac{2}{3}",
["x"] = 14,
["y"] = 2,
["z"] = 3 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{3 + 8}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3 + 8}{6} \\cdot 8",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.1, bodu=24, $$9 + 9 - (-6) + 3\frac{2}{4} - (-6)=\textcolor{white}{33{,}5}$$return {
["body"] = 24,
["id"] = "syduND_0922_0602",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = 33.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = 67,
["jmenovatel"] = 2 },
["render"] = "\\frac{67}{2}",
["typ"] = "cislo" },
["tex"] = "33\\frac{1}{2}",
["tex_float"] = "33{,}5",
["x"] = 33,
["y"] = 1,
["z"] = 2 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "9 - (-6)",
["typ"] = "minus" },
["render"] = "9 + 9 - (-6)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "9 + 9 - (-6) + 3\\frac{2}{4}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "9 + 9 - (-6) + 3\\frac{2}{4} - (-6)",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.11, bodu=42, $$3\frac{1}{3} \cdot \frac{6}{2\frac{2}{6}}=\textcolor{white}{8\frac{4}{7}}$$return {
["body"] = 42,
["id"] = "uQaM1C_0922_0602",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 8.5714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 60,
["jmenovatel"] = 7 },
["render"] = "\\frac{180}{21}",
["typ"] = "cislo" },
["tex"] = "8\\frac{4}{7}",
["x"] = 8,
["y"] = 4,
["z"] = 7 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.11",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{2\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{1}{3} \\cdot \\frac{6}{2\\frac{2}{6}}",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.12, bodu=14, $$(\frac{-6}{6} + 8)^2 + (-4)=\textcolor{white}{45}$$return {
["body"] = 14,
["id"] = "PJlzZf_0922_0602",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 1 },
["render"] = "\\frac{45}{1}",
["typ"] = "cislo" },
["tex"] = "45",
["x"] = 45 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.12",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-6}{6} + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(\\frac{-6}{6} + 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "(\\frac{-6}{6} + 8)^2 + (-4)",
["typ"] = "plus" } }
seed: E4z7V47fG8wfmM9CexuM_0.13, bodu=7, $$-3 - (-11) - 5 - (-4)=\textcolor{white}{7}$$return {
["body"] = 7,
["id"] = "lnCkvC_0922_0602",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "\\frac{7}{1}",
["typ"] = "cislo" },
["tex"] = "7",
["tex_float"] = "7",
["x"] = 7 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-3 - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-3 - (-11) - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-3 - (-11) - 5 - (-4)",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.14, bodu=17, $$\frac{(\frac{8}{7})^2}{6}=\textcolor{white}{\frac{32}{147}}$$return {
["body"] = 17,
["id"] = "tyvXsN_0922_0602",
["obtiznost"] = 0.1852,
["reseni"] = {
["float"] = 0.21768707482993,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 147 },
["render"] = "\\frac{64}{294}",
["typ"] = "cislo" },
["tex"] = "\\frac{32}{147}",
["y"] = 32,
["z"] = 147 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.14",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{7}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{8}{7})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{8}{7})^2}{6}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.15, bodu=28, $$\frac{2\frac{2}{6}}{\frac{8}{9} - 7}=\textcolor{white}{-\frac{21}{55}}$$return {
["body"] = 28,
["id"] = "BJHqoX_0922_0602",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = -0.38181818181818,
["objekt"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 55 },
["render"] = "\\frac{63}{-165}",
["typ"] = "cislo" },
["tex"] = "-\\frac{21}{55}",
["y"] = -21,
["z"] = 55 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9} - 7",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{2}{6}}{\\frac{8}{9} - 7}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.16, bodu=29, $$9 + (-10) - (-12 + 7 - 2\frac{4}{9})=\textcolor{white}{6\frac{4}{9}}$$return {
["body"] = 29,
["id"] = "rX21PE_0922_0602",
["obtiznost"] = 0.36,
["reseni"] = {
["float"] = 6.4444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 58,
["jmenovatel"] = 9 },
["render"] = "\\frac{58}{9}",
["typ"] = "cislo" },
["tex"] = "6\\frac{4}{9}",
["x"] = 6,
["y"] = 4,
["z"] = 9 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "9 + (-10)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "7 - 2\\frac{4}{9}",
["typ"] = "minus" },
["render"] = "-12 + 7 - 2\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(-12 + 7 - 2\\frac{4}{9})",
["typ"] = "zavorka" },
["render"] = "9 + (-10) - (-12 + 7 - 2\\frac{4}{9})",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.17, bodu=8, $$4 \cdot 10 \cdot -7=\textcolor{white}{-280}$$return {
["body"] = 8,
["id"] = "qxxeBD_0922_0602",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -280,
["jmenovatel"] = 1 },
["render"] = "\\frac{-280}{1}",
["typ"] = "cislo" },
["tex"] = "-280",
["x"] = -280 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.17",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 \\cdot -7",
["typ"] = "krat" },
["render"] = "4 \\cdot 10 \\cdot -7",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.18, bodu=31, $$4 \cdot (11 \cdot 3\frac{3}{6} - 6)=\textcolor{white}{130}$$return {
["body"] = 31,
["id"] = "ncntgD_0922_0602",
["obtiznost"] = 0.38,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 130,
["jmenovatel"] = 1 },
["render"] = "\\frac{260}{2}",
["typ"] = "cislo" },
["tex"] = "130",
["tex_float"] = "130",
["x"] = 130 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 3\\frac{3}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "11 \\cdot 3\\frac{3}{6} - 6",
["typ"] = "minus" },
["render"] = "(11 \\cdot 3\\frac{3}{6} - 6)",
["typ"] = "zavorka" },
["render"] = "4 \\cdot (11 \\cdot 3\\frac{3}{6} - 6)",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.19, bodu=8, $$7 - 7 - 9 \cdot 6=\textcolor{white}{-54}$$return {
["body"] = 8,
["id"] = "E19rxQ_0922_0602",
["obtiznost"] = 0.19,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -54,
["jmenovatel"] = 1 },
["render"] = "\\frac{-54}{1}",
["typ"] = "cislo" },
["tex"] = "-54",
["tex_float"] = "-54",
["x"] = -54 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 - 7",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "9 \\cdot 6",
["typ"] = "krat" },
["render"] = "7 - 7 - 9 \\cdot 6",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.2, bodu=9, $$-9 + 7 - 12 \cdot (8 + (-4))=\textcolor{white}{-50}$$return {
["body"] = 9,
["id"] = "ljWI7G_0922_0602",
["obtiznost"] = 0.2,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -50,
["jmenovatel"] = 1 },
["render"] = "\\frac{-50}{1}",
["typ"] = "cislo" },
["tex"] = "-50",
["x"] = -50 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "8 + (-4)",
["typ"] = "plus" },
["render"] = "(8 + (-4))",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (8 + (-4))",
["typ"] = "krat" },
["render"] = "7 - 12 \\cdot (8 + (-4))",
["typ"] = "minus" },
["render"] = "-9 + 7 - 12 \\cdot (8 + (-4))",
["typ"] = "plus" } }
seed: E4z7V47fG8wfmM9CexuM_0.21, bodu=18, $$\frac{8}{9} - (11 + 3\frac{1}{1} + 11)=\textcolor{white}{-25\frac{1}{9}}$$return {
["body"] = 18,
["id"] = "zOqUQF_0922_0602",
["obtiznost"] = 0.21,
["reseni"] = {
["float"] = -25.111111111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -226,
["jmenovatel"] = 9 },
["render"] = "\\frac{-226}{9}",
["typ"] = "cislo" },
["tex"] = "-25\\frac{1}{9}",
["x"] = -25,
["y"] = 1,
["z"] = 9 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "3\\frac{1}{1}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{1} + 11",
["typ"] = "plus" },
["render"] = "11 + 3\\frac{1}{1} + 11",
["typ"] = "plus" },
["render"] = "(11 + 3\\frac{1}{1} + 11)",
["typ"] = "zavorka" },
["render"] = "\\frac{8}{9} - (11 + 3\\frac{1}{1} + 11)",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.22, bodu=40, $$\frac{(\frac{3\frac{1}{3}}{8})^2}{-11} - 11=\textcolor{white}{-11\frac{25}{1584}}$$return {
["body"] = 40,
["id"] = "idurQe_0922_0602",
["obtiznost"] = 0.4876,
["reseni"] = {
["float"] = -11.015782828283,
["objekt"] = {
["hodnota"] = {
["citatel"] = -17449,
["jmenovatel"] = 1584 },
["render"] = "\\frac{-17449}{1584}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{25}{1584}",
["x"] = -11,
["y"] = 25,
["z"] = 1584 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.22",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{3}}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{1}{3}}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{3\\frac{1}{3}}{8})^2}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{(\\frac{3\\frac{1}{3}}{8})^2}{-11} - 11",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.23, bodu=9, $$(8 - (-7)) \cdot 13 \cdot 6=\textcolor{white}{1170}$$return {
["body"] = 9,
["id"] = "aytzm2_0922_0602",
["obtiznost"] = 0.23,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1170,
["jmenovatel"] = 1 },
["render"] = "\\frac{1170}{1}",
["typ"] = "cislo" },
["tex"] = "1170",
["x"] = 1170 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.23",
["zadani"] = {
["c1"] = {
["obsah"] = {
["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" },
["render"] = "(8 - (-7))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "13 \\cdot 6",
["typ"] = "krat" },
["render"] = "(8 - (-7)) \\cdot 13 \\cdot 6",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.24, bodu=46, $$10 \cdot 8 \cdot (\frac{2\frac{1}{2}}{8})^2=\textcolor{white}{7\frac{13}{16}}$$return {
["body"] = 46,
["id"] = "lSz6cY_0922_0602",
["obtiznost"] = 0.5524,
["reseni"] = {
["float"] = 7.8125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 125,
["jmenovatel"] = 16 },
["render"] = "\\frac{2000}{256}",
["typ"] = "cislo" },
["tex"] = "7\\frac{13}{16}",
["x"] = 7,
["y"] = 13,
["z"] = 16 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{2}}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{2\\frac{1}{2}}{8})^2",
["typ"] = "mocnina" },
["render"] = "10 \\cdot 8 \\cdot (\\frac{2\\frac{1}{2}}{8})^2",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.25, bodu=21, $$\frac{-6 \cdot 13 + 8}{-9}=\textcolor{white}{7\frac{7}{9}}$$return {
["body"] = 21,
["id"] = "hcbA6r_0922_0602",
["obtiznost"] = 0.25,
["reseni"] = {
["float"] = 7.7777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 70,
["jmenovatel"] = 9 },
["render"] = "\\frac{-70}{-9}",
["typ"] = "cislo" },
["tex"] = "7\\frac{7}{9}",
["x"] = 7,
["y"] = 7,
["z"] = 9 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.25",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 13 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{-6 \\cdot 13 + 8}{-9}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.26, bodu=38, $$11 \cdot 5 - 4\frac{2}{7} - 10=\textcolor{white}{40\frac{5}{7}}$$return {
["body"] = 38,
["id"] = "kVOycT_0922_0602",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = 40.714285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = 285,
["jmenovatel"] = 7 },
["render"] = "\\frac{285}{7}",
["typ"] = "cislo" },
["tex"] = "40\\frac{5}{7}",
["x"] = 40,
["y"] = 5,
["z"] = 7 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 5 - 4\\frac{2}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 \\cdot 5 - 4\\frac{2}{7} - 10",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.27, bodu=22, $$(14 + 5) \cdot (-8 + \frac{14}{8})=\textcolor{white}{-118{,}75}$$return {
["body"] = 22,
["id"] = "nreME3_0922_0602",
["obtiznost"] = 0.27,
["reseni"] = {
["float"] = -118.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -475,
["jmenovatel"] = 4 },
["render"] = "\\frac{-475}{4}",
["typ"] = "cislo" },
["tex"] = "-118\\frac{3}{4}",
["tex_float"] = "-118{,}75",
["x"] = -118,
["y"] = 3,
["z"] = 4 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.27",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "14 + 5",
["typ"] = "plus" },
["render"] = "(14 + 5)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{14}{8}",
["typ"] = "lomeno" },
["render"] = "-8 + \\frac{14}{8}",
["typ"] = "plus" },
["render"] = "(-8 + \\frac{14}{8})",
["typ"] = "zavorka" },
["render"] = "(14 + 5) \\cdot (-8 + \\frac{14}{8})",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.28, bodu=23, $$\frac{10}{12 - 10 \cdot (12 + 10)}=\textcolor{white}{-\frac{5}{104}}$$return {
["body"] = 23,
["id"] = "Wtutm8_0922_0602",
["obtiznost"] = 0.28,
["reseni"] = {
["float"] = -0.048076923076923,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 104 },
["render"] = "\\frac{10}{-208}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{104}",
["y"] = -5,
["z"] = 104 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.28",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "12 + 10",
["typ"] = "plus" },
["render"] = "(12 + 10)",
["typ"] = "zavorka" },
["render"] = "10 \\cdot (12 + 10)",
["typ"] = "krat" },
["render"] = "12 - 10 \\cdot (12 + 10)",
["typ"] = "minus" },
["render"] = "\\frac{10}{12 - 10 \\cdot (12 + 10)}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.29, bodu=24, $$\frac{10 \cdot 13 + 11}{8}=\textcolor{white}{17{,}625}$$return {
["body"] = 24,
["id"] = "d18wFo_0922_0602",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = 17.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 141,
["jmenovatel"] = 8 },
["render"] = "\\frac{141}{8}",
["typ"] = "cislo" },
["tex"] = "17\\frac{5}{8}",
["tex_float"] = "17{,}625",
["x"] = 17,
["y"] = 5,
["z"] = 8 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "10 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 \\cdot 13 + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{10 \\cdot 13 + 11}{8}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.3, bodu=24, $$\frac{5 - (-9 - 10)}{7}=\textcolor{white}{3\frac{3}{7}}$$return {
["body"] = 24,
["id"] = "xiA9fq_0922_0602",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = 3.4285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "\\frac{24}{7}",
["typ"] = "cislo" },
["tex"] = "3\\frac{3}{7}",
["x"] = 3,
["y"] = 3,
["z"] = 7 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-9 - 10",
["typ"] = "minus" },
["render"] = "(-9 - 10)",
["typ"] = "zavorka" },
["render"] = "5 - (-9 - 10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{5 - (-9 - 10)}{7}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.31, bodu=42, $$\frac{5}{8 - 4\frac{3}{8} - (-9)}=\textcolor{white}{\frac{40}{101}}$$return {
["body"] = 42,
["id"] = "UF6QM3_0922_0602",
["obtiznost"] = 0.51,
["reseni"] = {
["float"] = 0.3960396039604,
["objekt"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 101 },
["render"] = "\\frac{40}{101}",
["typ"] = "cislo" },
["tex"] = "\\frac{40}{101}",
["y"] = 40,
["z"] = 101 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.31",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "8 - 4\\frac{3}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "8 - 4\\frac{3}{8} - (-9)",
["typ"] = "minus" },
["render"] = "\\frac{5}{8 - 4\\frac{3}{8} - (-9)}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.32, bodu=26, $$\frac{7}{9} \cdot \frac{9}{13}=\textcolor{white}{\frac{7}{13}}$$return {
["body"] = 26,
["id"] = "JuGvPO_0922_0602",
["obtiznost"] = 0.32,
["reseni"] = {
["float"] = 0.53846153846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 13 },
["render"] = "\\frac{63}{117}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{13}",
["y"] = 7,
["z"] = 13 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{7}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{9}{13}",
["typ"] = "lomeno" },
["render"] = "\\frac{7}{9} \\cdot \\frac{9}{13}",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.33, bodu=44, $$\frac{-3 + 1\frac{3}{10} - 4}{15} - 9=\textcolor{white}{-9{,}38}$$return {
["body"] = 44,
["id"] = "ikojwJ_0922_0602",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = -9.38,
["objekt"] = {
["hodnota"] = {
["citatel"] = -469,
["jmenovatel"] = 50 },
["render"] = "\\frac{-469}{50}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{19}{50}",
["tex_float"] = "-9{,}38",
["x"] = -9,
["y"] = 19,
["z"] = 50 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "-3 + 1\\frac{3}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-3 + 1\\frac{3}{10} - 4",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-3 + 1\\frac{3}{10} - 4}{15}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-3 + 1\\frac{3}{10} - 4}{15} - 9",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.34, bodu=27, $$\frac{12 - (-3)}{15 \cdot 13}=\textcolor{white}{\frac{1}{13}}$$return {
["body"] = 27,
["id"] = "dSiFCy_0922_0602",
["obtiznost"] = 0.34,
["reseni"] = {
["float"] = 0.076923076923077,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 13 },
["render"] = "\\frac{15}{195}",
["typ"] = "cislo" },
["tex"] = "\\frac{1}{13}",
["y"] = 1,
["z"] = 13 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "12 - (-3)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "15 \\cdot 13",
["typ"] = "krat" },
["render"] = "\\frac{12 - (-3)}{15 \\cdot 13}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.35, bodu=46, $$7 - 3\frac{5}{9} - 12 \cdot 11=\textcolor{white}{-128\frac{5}{9}}$$return {
["body"] = 46,
["id"] = "rZiRZf_0922_0602",
["obtiznost"] = 0.55,
["reseni"] = {
["float"] = -128.55555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1157,
["jmenovatel"] = 9 },
["render"] = "\\frac{-1157}{9}",
["typ"] = "cislo" },
["tex"] = "-128\\frac{5}{9}",
["x"] = -128,
["y"] = 5,
["z"] = 9 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.35",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "7 - 3\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "12 \\cdot 11",
["typ"] = "krat" },
["render"] = "7 - 3\\frac{5}{9} - 12 \\cdot 11",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.36, bodu=47, $$\frac{1\frac{2}{5} \cdot 7}{-9 \cdot 10}=\textcolor{white}{-\frac{49}{450}}$$return {
["body"] = 47,
["id"] = "q6WTnV_0922_0602",
["obtiznost"] = 0.56,
["reseni"] = {
["float"] = -0.10888888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = -49,
["jmenovatel"] = 450 },
["render"] = "\\frac{49}{-450}",
["typ"] = "cislo" },
["tex"] = "-\\frac{49}{450}",
["y"] = -49,
["z"] = 450 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{5} \\cdot 7}{-9 \\cdot 10}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.37, bodu=52, $$(-8 - (\frac{5}{3\frac{1}{3}})^4) \cdot 3=\textcolor{white}{-39\frac{3}{16}}$$return {
["body"] = 52,
["id"] = "jeGkoK_0922_0602",
["obtiznost"] = 0.6088,
["reseni"] = {
["float"] = -39.1875,
["objekt"] = {
["hodnota"] = {
["citatel"] = -627,
["jmenovatel"] = 16 },
["render"] = "\\frac{-627}{16}",
["typ"] = "cislo" },
["tex"] = "-39\\frac{3}{16}",
["x"] = -39,
["y"] = 3,
["z"] = 16 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.37",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{3\\frac{1}{3}}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{5}{3\\frac{1}{3}})^4",
["typ"] = "mocnina" },
["render"] = "-8 - (\\frac{5}{3\\frac{1}{3}})^4",
["typ"] = "minus" },
["render"] = "(-8 - (\\frac{5}{3\\frac{1}{3}})^4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "(-8 - (\\frac{5}{3\\frac{1}{3}})^4) \\cdot 3",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.38, bodu=49, $$\frac{4\frac{4}{8} - 15 \cdot 9}{7}=\textcolor{white}{-18\frac{9}{14}}$$return {
["body"] = 49,
["id"] = "ITQd9c_0922_0602",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -18.642857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -261,
["jmenovatel"] = 14 },
["render"] = "\\frac{-261}{14}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{9}{14}",
["x"] = -18,
["y"] = 9,
["z"] = 14 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "15 \\cdot 9",
["typ"] = "krat" },
["render"] = "4\\frac{4}{8} - 15 \\cdot 9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{4}{8} - 15 \\cdot 9}{7}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.39, bodu=31, $$\frac{9}{\frac{11}{12} + (-5)}=\textcolor{white}{-2\frac{10}{49}}$$return {
["body"] = 31,
["id"] = "o7pq6w_0922_0602",
["obtiznost"] = 0.39,
["reseni"] = {
["float"] = -2.2040816326531,
["objekt"] = {
["hodnota"] = {
["citatel"] = -108,
["jmenovatel"] = 49 },
["render"] = "\\frac{108}{-49}",
["typ"] = "cislo" },
["tex"] = "-2\\frac{10}{49}",
["x"] = -2,
["y"] = 10,
["z"] = 49 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.39",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{11}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{11}{12} + (-5)",
["typ"] = "plus" },
["render"] = "\\frac{9}{\\frac{11}{12} + (-5)}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.4, bodu=51, $$(4\frac{5}{10} + (-14)) \cdot -10 + (6 + (-7))^3 + 8=\textcolor{white}{102}$$return {
["body"] = 51,
["id"] = "s3zIql_0922_0602",
["obtiznost"] = 0.6008,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 102,
["jmenovatel"] = 1 },
["render"] = "\\frac{102}{1}",
["typ"] = "cislo" },
["tex"] = "102",
["tex_float"] = "102",
["x"] = 102 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.4",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} + (-14)",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{10} + (-14))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(4\\frac{5}{10} + (-14)) \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "6 + (-7)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(6 + (-7))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(6 + (-7))^3 + 8",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{10} + (-14)) \\cdot -10 + (6 + (-7))^3 + 8",
["typ"] = "plus" } }
seed: E4z7V47fG8wfmM9CexuM_0.41, bodu=52, $$9 + 3\frac{3}{4} - (14 \cdot 7 - 4)=\textcolor{white}{-81{,}25}$$return {
["body"] = 52,
["id"] = "dZtjce_0922_0602",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -81.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -325,
["jmenovatel"] = 4 },
["render"] = "\\frac{-325}{4}",
["typ"] = "cislo" },
["tex"] = "-81\\frac{1}{4}",
["tex_float"] = "-81{,}25",
["x"] = -81,
["y"] = 1,
["z"] = 4 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 4 },
["render"] = "3\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "9 + 3\\frac{3}{4}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "14 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "14 \\cdot 7 - 4",
["typ"] = "minus" },
["render"] = "(14 \\cdot 7 - 4)",
["typ"] = "zavorka" },
["render"] = "9 + 3\\frac{3}{4} - (14 \\cdot 7 - 4)",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.42, bodu=34, $$8 \cdot \frac{\frac{11 - 5}{7}}{17}=\textcolor{white}{\frac{48}{119}}$$return {
["body"] = 34,
["id"] = "OmkT6f_0922_0602",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 0.40336134453782,
["objekt"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 119 },
["render"] = "\\frac{48}{119}",
["typ"] = "cislo" },
["tex"] = "\\frac{48}{119}",
["y"] = 48,
["z"] = 119 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 - 5",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{11 - 5}{7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11 - 5}{7}}{17}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{\\frac{11 - 5}{7}}{17}",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.43, bodu=17, $$(14 + 11) \cdot (-16 - 14) - 11=\textcolor{white}{-761}$$return {
["body"] = 17,
["id"] = "Yty2BT_0922_0602",
["obtiznost"] = 0.43,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -761,
["jmenovatel"] = 1 },
["render"] = "\\frac{-761}{1}",
["typ"] = "cislo" },
["tex"] = "-761",
["tex_float"] = "-761",
["x"] = -761 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "14 + 11",
["typ"] = "plus" },
["render"] = "(14 + 11)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-16 - 14",
["typ"] = "minus" },
["render"] = "(-16 - 14)",
["typ"] = "zavorka" },
["render"] = "(14 + 11) \\cdot (-16 - 14)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(14 + 11) \\cdot (-16 - 14) - 11",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.44, bodu=36, $$\frac{-13}{12 \cdot -12 \cdot 16}=\textcolor{white}{\frac{13}{2304}}$$return {
["body"] = 36,
["id"] = "ckNwsS_0922_0602",
["obtiznost"] = 0.44,
["reseni"] = {
["float"] = 0.0056423611111111,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 2304 },
["render"] = "\\frac{-13}{-2304}",
["typ"] = "cislo" },
["tex"] = "\\frac{13}{2304}",
["y"] = 13,
["z"] = 2304 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.44",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "12 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "12 \\cdot -12 \\cdot 16",
["typ"] = "krat" },
["render"] = "\\frac{-13}{12 \\cdot -12 \\cdot 16}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.45, bodu=18, $$13 \cdot (12 + (-5 \cdot 9)) + 12=\textcolor{white}{-417}$$return {
["body"] = 18,
["id"] = "ksxACz_0922_0602",
["obtiznost"] = 0.45,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -417,
["jmenovatel"] = 1 },
["render"] = "\\frac{-417}{1}",
["typ"] = "cislo" },
["tex"] = "-417",
["x"] = -417 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 9",
["typ"] = "krat" },
["render"] = "12 + (-5 \\cdot 9)",
["typ"] = "plus" },
["render"] = "(12 + (-5 \\cdot 9))",
["typ"] = "zavorka" },
["render"] = "13 \\cdot (12 + (-5 \\cdot 9))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "13 \\cdot (12 + (-5 \\cdot 9)) + 12",
["typ"] = "plus" } }
seed: E4z7V47fG8wfmM9CexuM_0.46, bodu=49, $$\frac{11}{\frac{(7 + 10)^2}{4 \cdot -9}}=\textcolor{white}{-1\frac{107}{289}}$$return {
["body"] = 49,
["id"] = "5rDzLH_0922_0602",
["obtiznost"] = 0.576,
["reseni"] = {
["float"] = -1.3702422145329,
["objekt"] = {
["hodnota"] = {
["citatel"] = -396,
["jmenovatel"] = 289 },
["render"] = "\\frac{396}{-289}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{107}{289}",
["x"] = -1,
["y"] = 107,
["z"] = 289 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 + 10",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(7 + 10)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4 \\cdot -9",
["typ"] = "krat" },
["render"] = "\\frac{(7 + 10)^2}{4 \\cdot -9}",
["typ"] = "lomeno" },
["render"] = "\\frac{11}{\\frac{(7 + 10)^2}{4 \\cdot -9}}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.47, bodu=101, $$\frac{7}{\frac{(1\frac{1}{8} - 3\frac{1}{4})^2}{11} \cdot -13}=\textcolor{white}{-1\frac{1171}{3757}}$$return {
["body"] = 101,
["id"] = "PoJWmF_0922_0602",
["obtiznost"] = 1.0112,
["reseni"] = {
["float"] = -1.3116848549375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4928,
["jmenovatel"] = 3757 },
["render"] = "\\frac{4928}{-3757}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{1171}{3757}",
["x"] = -1,
["y"] = 1171,
["z"] = 3757 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} - 3\\frac{1}{4}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(1\\frac{1}{8} - 3\\frac{1}{4})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{1}{8} - 3\\frac{1}{4})^2}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{(1\\frac{1}{8} - 3\\frac{1}{4})^2}{11} \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{7}{\\frac{(1\\frac{1}{8} - 3\\frac{1}{4})^2}{11} \\cdot -13}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.48, bodu=39, $$11 \cdot \frac{-8 + (-10)}{14} \cdot 15=\textcolor{white}{-212\frac{1}{7}}$$return {
["body"] = 39,
["id"] = "ZrWrud_0922_0602",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = -212.14285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1485,
["jmenovatel"] = 7 },
["render"] = "\\frac{-1485}{7}",
["typ"] = "cislo" },
["tex"] = "-212\\frac{1}{7}",
["x"] = -212,
["y"] = 1,
["z"] = 7 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-8 + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-8 + (-10)}{14}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{-8 + (-10)}{14} \\cdot 15",
["typ"] = "krat" },
["render"] = "11 \\cdot \\frac{-8 + (-10)}{14} \\cdot 15",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.49, bodu=40, $$\frac{12 \cdot -9}{-16 \cdot 8}=\textcolor{white}{\frac{27}{32}}$$return {
["body"] = 40,
["id"] = "cO9uY1_0922_0602",
["obtiznost"] = 0.49,
["reseni"] = {
["float"] = 0.84375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 32 },
["render"] = "\\frac{-108}{-128}",
["typ"] = "cislo" },
["tex"] = "\\frac{27}{32}",
["y"] = 27,
["z"] = 32 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "12 \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-16 \\cdot 8",
["typ"] = "krat" },
["render"] = "\\frac{12 \\cdot -9}{-16 \\cdot 8}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.5, bodu=36, $$((6 + (-15))^3 - (-9) - 11) \cdot -5=\textcolor{white}{3655}$$return {
["body"] = 36,
["id"] = "YdC2ED_0922_0602",
["obtiznost"] = 0.792,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 3655,
["jmenovatel"] = 1 },
["render"] = "\\frac{3655}{1}",
["typ"] = "cislo" },
["tex"] = "3655",
["x"] = 3655 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.5",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "6 + (-15)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(6 + (-15))^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(6 + (-15))^3 - (-9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(6 + (-15))^3 - (-9) - 11",
["typ"] = "minus" },
["render"] = "((6 + (-15))^3 - (-9) - 11)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "((6 + (-15))^3 - (-9) - 11) \\cdot -5",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.51, bodu=88, $$\frac{3\frac{5}{10} \cdot 8}{-8 - 2\frac{5}{9} \cdot -8}=\textcolor{white}{2{,}25}$$return {
["body"] = 88,
["id"] = "R27aoT_0922_0602",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = 2.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "\\frac{252}{112}",
["typ"] = "cislo" },
["tex"] = "2\\frac{1}{4}",
["tex_float"] = "2{,}25",
["x"] = 2,
["y"] = 1,
["z"] = 4 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.51",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} \\cdot -8",
["typ"] = "krat" },
["render"] = "-8 - 2\\frac{5}{9} \\cdot -8",
["typ"] = "minus" },
["render"] = "\\frac{3\\frac{5}{10} \\cdot 8}{-8 - 2\\frac{5}{9} \\cdot -8}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.52, bodu=49, $$\frac{6 \cdot (\frac{-10}{4})^3}{11 + 10}=\textcolor{white}{-4\frac{13}{28}}$$return {
["body"] = 49,
["id"] = "QbLVow_0922_0602",
["obtiznost"] = 0.5732,
["reseni"] = {
["float"] = -4.4642857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -125,
["jmenovatel"] = 28 },
["render"] = "\\frac{-375}{84}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{13}{28}",
["x"] = -4,
["y"] = 13,
["z"] = 28 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-10}{4})^3",
["typ"] = "mocnina" },
["render"] = "6 \\cdot (\\frac{-10}{4})^3",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "11 + 10",
["typ"] = "plus" },
["render"] = "\\frac{6 \\cdot (\\frac{-10}{4})^3}{11 + 10}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.53, bodu=90, $$(1\frac{5}{9} - (-10) + 8 - 16) \cdot 2\frac{5}{6}=\textcolor{white}{10\frac{2}{27}}$$return {
["body"] = 90,
["id"] = "PdQWGY_0922_0602",
["obtiznost"] = 0.93,
["reseni"] = {
["float"] = 10.074074074074,
["objekt"] = {
["hodnota"] = {
["citatel"] = 272,
["jmenovatel"] = 27 },
["render"] = "\\frac{544}{54}",
["typ"] = "cislo" },
["tex"] = "10\\frac{2}{27}",
["x"] = 10,
["y"] = 2,
["z"] = 27 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.53",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} - (-10) + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} - (-10) + 8 - 16",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{9} - (-10) + 8 - 16)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 6 },
["render"] = "2\\frac{5}{6}",
["typ"] = "cislo" },
["render"] = "(1\\frac{5}{9} - (-10) + 8 - 16) \\cdot 2\\frac{5}{6}",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.54, bodu=117, $$\frac{16}{10} \cdot (-9 + (\frac{3\frac{2}{7}}{3})^2)=\textcolor{white}{-12\frac{212}{441}}$$return {
["body"] = 117,
["id"] = "LYBU6s_0922_0602",
["obtiznost"] = 1.128,
["reseni"] = {
["float"] = -12.480725623583,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5504,
["jmenovatel"] = 441 },
["render"] = "\\frac{-27520}{2205}",
["typ"] = "cislo" },
["tex"] = "-12\\frac{212}{441}",
["x"] = -12,
["y"] = 212,
["z"] = 441 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{16}{10}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{7}}{3}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{3\\frac{2}{7}}{3})^2",
["typ"] = "mocnina" },
["render"] = "-9 + (\\frac{3\\frac{2}{7}}{3})^2",
["typ"] = "plus" },
["render"] = "(-9 + (\\frac{3\\frac{2}{7}}{3})^2)",
["typ"] = "zavorka" },
["render"] = "\\frac{16}{10} \\cdot (-9 + (\\frac{3\\frac{2}{7}}{3})^2)",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.55, bodu=93, $$2\frac{2}{9} \cdot 7 \cdot \frac{4\frac{2}{6}}{7}=\textcolor{white}{9\frac{17}{27}}$$return {
["body"] = 93,
["id"] = "g96XJY_0922_0602",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = 9.6296296296296,
["objekt"] = {
["hodnota"] = {
["citatel"] = 260,
["jmenovatel"] = 27 },
["render"] = "\\frac{1820}{189}",
["typ"] = "cislo" },
["tex"] = "9\\frac{17}{27}",
["x"] = 9,
["y"] = 17,
["z"] = 27 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{6}}{7}",
["typ"] = "lomeno" },
["render"] = "2\\frac{2}{9} \\cdot 7 \\cdot \\frac{4\\frac{2}{6}}{7}",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.56, bodu=114, $$\frac{(\frac{-12}{(\frac{-10}{2\frac{5}{10}})^2})^4}{1\frac{3}{6} + 8}=\textcolor{white}{\frac{81}{2432}}$$return {
["body"] = 114,
["id"] = "s8WnIB_0922_0602",
["obtiznost"] = 1.1016,
["reseni"] = {
["float"] = 0.033305921052632,
["objekt"] = {
["hodnota"] = {
["citatel"] = 81,
["jmenovatel"] = 2432 },
["render"] = "\\frac{162}{4864}",
["typ"] = "cislo" },
["tex"] = "\\frac{81}{2432}",
["y"] = 81,
["z"] = 2432 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.56",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{2\\frac{5}{10}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-10}{2\\frac{5}{10}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{-12}{(\\frac{-10}{2\\frac{5}{10}})^2}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-12}{(\\frac{-10}{2\\frac{5}{10}})^2})^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{6} + 8",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{-12}{(\\frac{-10}{2\\frac{5}{10}})^2})^4}{1\\frac{3}{6} + 8}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.57, bodu=96, $$(12 + 1\frac{4}{8} + (-13))^4 \cdot (\frac{13}{4\frac{2}{5}} + 14)=\textcolor{white}{1\frac{21}{352}}$$return {
["body"] = 96,
["id"] = "uDBc7W_0922_0602",
["obtiznost"] = 0.9768,
["reseni"] = {
["float"] = 1.0596590909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = 373,
["jmenovatel"] = 352 },
["render"] = "\\frac{373}{352}",
["typ"] = "cislo" },
["tex"] = "1\\frac{21}{352}",
["x"] = 1,
["y"] = 21,
["z"] = 352 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.57",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{8} + (-13)",
["typ"] = "plus" },
["render"] = "12 + 1\\frac{4}{8} + (-13)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(12 + 1\\frac{4}{8} + (-13))^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{4\\frac{2}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{13}{4\\frac{2}{5}} + 14",
["typ"] = "plus" },
["render"] = "(\\frac{13}{4\\frac{2}{5}} + 14)",
["typ"] = "zavorka" },
["render"] = "(12 + 1\\frac{4}{8} + (-13))^4 \\cdot (\\frac{13}{4\\frac{2}{5}} + 14)",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.58, bodu=155, $$3\frac{1}{5} - \frac{3\frac{1}{4} - 3\frac{3}{7}}{2\frac{4}{7}} \cdot -13=\textcolor{white}{2\frac{107}{360}}$$return {
["body"] = 155,
["id"] = "onYWcJ_0922_0602",
["obtiznost"] = 1.38,
["reseni"] = {
["float"] = 2.2972222222222,
["objekt"] = {
["hodnota"] = {
["citatel"] = 827,
["jmenovatel"] = 360 },
["render"] = "\\frac{827}{360}",
["typ"] = "cislo" },
["tex"] = "2\\frac{107}{360}",
["x"] = 2,
["y"] = 107,
["z"] = 360 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.58",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 7 },
["render"] = "3\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{4} - 3\\frac{3}{7}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4} - 3\\frac{3}{7}}{2\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{4} - 3\\frac{3}{7}}{2\\frac{4}{7}} \\cdot -13",
["typ"] = "krat" },
["render"] = "3\\frac{1}{5} - \\frac{3\\frac{1}{4} - 3\\frac{3}{7}}{2\\frac{4}{7}} \\cdot -13",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.59, bodu=98, $$4\frac{1}{8} \cdot \frac{\frac{14}{-12} - 3\frac{4}{9}}{10}=\textcolor{white}{-1\frac{433}{480}}$$return {
["body"] = 98,
["id"] = "8wlCVw_0922_0602",
["obtiznost"] = 0.99,
["reseni"] = {
["float"] = -1.9020833333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -913,
["jmenovatel"] = 480 },
["render"] = "\\frac{-2739}{1440}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{433}{480}",
["x"] = -1,
["y"] = 433,
["z"] = 480 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.59",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-12} - 3\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{14}{-12} - 3\\frac{4}{9}}{10}",
["typ"] = "lomeno" },
["render"] = "4\\frac{1}{8} \\cdot \\frac{\\frac{14}{-12} - 3\\frac{4}{9}}{10}",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.6, bodu=74, $$\frac{-18 - 10}{-18} - 11 \cdot 1\frac{5}{10}=\textcolor{white}{-14\frac{17}{18}}$$return {
["body"] = 74,
["id"] = "uUT8BY_0922_0602",
["obtiznost"] = 0.8,
["reseni"] = {
["float"] = -14.944444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = -269,
["jmenovatel"] = 18 },
["render"] = "\\frac{-269}{18}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{17}{18}",
["x"] = -14,
["y"] = 17,
["z"] = 18 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "-18 - 10",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{-18 - 10}{-18}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "\\frac{-18 - 10}{-18} - 11 \\cdot 1\\frac{5}{10}",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.61, bodu=122, $$16 \cdot ((2\frac{2}{10} + (-10 - (-7)))^4 - (-13 \cdot 3))=\textcolor{white}{630\frac{346}{625}}$$return {
["body"] = 122,
["id"] = "VvLgj9_0922_0602",
["obtiznost"] = 1.1624,
["reseni"] = {
["float"] = 630.5536,
["objekt"] = {
["hodnota"] = {
["citatel"] = 394096,
["jmenovatel"] = 625 },
["render"] = "\\frac{394096}{625}",
["typ"] = "cislo" },
["tex"] = "630\\frac{346}{625}",
["x"] = 630,
["y"] = 346,
["z"] = 625 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-10 - (-7)",
["typ"] = "minus" },
["render"] = "2\\frac{2}{10} + (-10 - (-7))",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(2\\frac{2}{10} + (-10 - (-7)))^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-13 \\cdot 3",
["typ"] = "krat" },
["render"] = "(2\\frac{2}{10} + (-10 - (-7)))^4 - (-13 \\cdot 3)",
["typ"] = "minus" },
["render"] = "((2\\frac{2}{10} + (-10 - (-7)))^4 - (-13 \\cdot 3))",
["typ"] = "zavorka" },
["render"] = "16 \\cdot ((2\\frac{2}{10} + (-10 - (-7)))^4 - (-13 \\cdot 3))",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.62, bodu=102, $$2\frac{3}{7} - (3\frac{1}{7} + (-4) - (\frac{8}{-7} - (-15)))=\textcolor{white}{17\frac{1}{7}}$$return {
["body"] = 102,
["id"] = "YkuvF2_0922_0602",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = 17.142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = 120,
["jmenovatel"] = 7 },
["render"] = "\\frac{120}{7}",
["typ"] = "cislo" },
["tex"] = "17\\frac{1}{7}",
["x"] = 17,
["y"] = 1,
["z"] = 7 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.62",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{7} + (-4)",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-7}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-7} - (-15)",
["typ"] = "minus" },
["render"] = "(\\frac{8}{-7} - (-15))",
["typ"] = "zavorka" },
["render"] = "3\\frac{1}{7} + (-4) - (\\frac{8}{-7} - (-15))",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{7} + (-4) - (\\frac{8}{-7} - (-15)))",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{7} - (3\\frac{1}{7} + (-4) - (\\frac{8}{-7} - (-15)))",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.63, bodu=104, $$11 \cdot (17 + (4\frac{2}{7} + (-13 \cdot -8)) \cdot 1\frac{3}{8})=\textcolor{white}{1824\frac{23}{28}}$$return {
["body"] = 104,
["id"] = "0TsySa_0922_0602",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 1824.8214285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 51095,
["jmenovatel"] = 28 },
["render"] = "\\frac{51095}{28}",
["typ"] = "cislo" },
["tex"] = "1824\\frac{23}{28}",
["x"] = 1824,
["y"] = 23,
["z"] = 28 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.63",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-13 \\cdot -8",
["typ"] = "krat" },
["render"] = "4\\frac{2}{7} + (-13 \\cdot -8)",
["typ"] = "plus" },
["render"] = "(4\\frac{2}{7} + (-13 \\cdot -8))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{7} + (-13 \\cdot -8)) \\cdot 1\\frac{3}{8}",
["typ"] = "krat" },
["render"] = "17 + (4\\frac{2}{7} + (-13 \\cdot -8)) \\cdot 1\\frac{3}{8}",
["typ"] = "plus" },
["render"] = "(17 + (4\\frac{2}{7} + (-13 \\cdot -8)) \\cdot 1\\frac{3}{8})",
["typ"] = "zavorka" },
["render"] = "11 \\cdot (17 + (4\\frac{2}{7} + (-13 \\cdot -8)) \\cdot 1\\frac{3}{8})",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.64, bodu=105, $$(\frac{-10}{-10})^3 \cdot (2\frac{4}{9} - (-11)) \cdot 2\frac{3}{5}=\textcolor{white}{34\frac{43}{45}}$$return {
["body"] = 105,
["id"] = "1bFjWP_0922_0602",
["obtiznost"] = 1.0408,
["reseni"] = {
["float"] = 34.955555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1573,
["jmenovatel"] = 45 },
["render"] = "\\frac{1573}{45}",
["typ"] = "cislo" },
["tex"] = "34\\frac{43}{45}",
["x"] = 34,
["y"] = 43,
["z"] = 45 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.64",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-10}{-10})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{9} - (-11)",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{9} - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "(2\\frac{4}{9} - (-11)) \\cdot 2\\frac{3}{5}",
["typ"] = "krat" },
["render"] = "(\\frac{-10}{-10})^3 \\cdot (2\\frac{4}{9} - (-11)) \\cdot 2\\frac{3}{5}",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.65, bodu=112, $$\frac{-9 + (\frac{-4}{9})^2}{17 - 2\frac{3}{7}} \cdot 2\frac{3}{8}=\textcolor{white}{-1\frac{28733}{66096}}$$return {
["body"] = 112,
["id"] = "QyzyL4_0922_0602",
["obtiznost"] = 1.0888,
["reseni"] = {
["float"] = -1.4347161704188,
["objekt"] = {
["hodnota"] = {
["citatel"] = -94829,
["jmenovatel"] = 66096 },
["render"] = "\\frac{-94829}{66096}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{28733}{66096}",
["x"] = -1,
["y"] = 28733,
["z"] = 66096 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-4}{9}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-4}{9})^2",
["typ"] = "mocnina" },
["render"] = "-9 + (\\frac{-4}{9})^2",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "17 - 2\\frac{3}{7}",
["typ"] = "minus" },
["render"] = "\\frac{-9 + (\\frac{-4}{9})^2}{17 - 2\\frac{3}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{-9 + (\\frac{-4}{9})^2}{17 - 2\\frac{3}{7}} \\cdot 2\\frac{3}{8}",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.66, bodu=108, $$\frac{-14 + \frac{3\frac{3}{8}}{(14 - 14)^2 + 5}}{-11 + 2\frac{4}{10}}=\textcolor{white}{1\frac{189}{344}}$$return {
["body"] = 108,
["id"] = "YXedmL_0922_0602",
["obtiznost"] = 1.0604,
["reseni"] = {
["float"] = 1.5494186046512,
["objekt"] = {
["hodnota"] = {
["citatel"] = 533,
["jmenovatel"] = 344 },
["render"] = "\\frac{-2665}{-1720}",
["typ"] = "cislo" },
["tex"] = "1\\frac{189}{344}",
["x"] = 1,
["y"] = 189,
["z"] = 344 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "14 - 14",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(14 - 14)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(14 - 14)^2 + 5",
["typ"] = "plus" },
["render"] = "\\frac{3\\frac{3}{8}}{(14 - 14)^2 + 5}",
["typ"] = "lomeno" },
["render"] = "-14 + \\frac{3\\frac{3}{8}}{(14 - 14)^2 + 5}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "-11 + 2\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "\\frac{-14 + \\frac{3\\frac{3}{8}}{(14 - 14)^2 + 5}}{-11 + 2\\frac{4}{10}}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.67, bodu=109, $$8 \cdot \frac{17 + \frac{12}{4\frac{2}{6}}}{4\frac{3}{4}}=\textcolor{white}{33\frac{73}{247}}$$return {
["body"] = 109,
["id"] = "RIAU3J_0922_0602",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 33.295546558704,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8224,
["jmenovatel"] = 247 },
["render"] = "\\frac{8224}{247}",
["typ"] = "cislo" },
["tex"] = "33\\frac{73}{247}",
["x"] = 33,
["y"] = 73,
["z"] = 247 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.67",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{12}{4\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "17 + \\frac{12}{4\\frac{2}{6}}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{17 + \\frac{12}{4\\frac{2}{6}}}{4\\frac{3}{4}}",
["typ"] = "lomeno" },
["render"] = "8 \\cdot \\frac{17 + \\frac{12}{4\\frac{2}{6}}}{4\\frac{3}{4}}",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.68, bodu=84, $$\frac{-11 + 12}{\frac{-13 + (-15)}{\frac{15}{1\frac{1}{5}}}}=\textcolor{white}{-\frac{25}{56}}$$return {
["body"] = 84,
["id"] = "BwbaUG_0922_0602",
["obtiznost"] = 0.88,
["reseni"] = {
["float"] = -0.44642857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -25,
["jmenovatel"] = 56 },
["render"] = "\\frac{25}{-56}",
["typ"] = "cislo" },
["tex"] = "-\\frac{25}{56}",
["y"] = -25,
["z"] = 56 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-11 + 12",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-13 + (-15)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{1\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-13 + (-15)}{\\frac{15}{1\\frac{1}{5}}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11 + 12}{\\frac{-13 + (-15)}{\\frac{15}{1\\frac{1}{5}}}}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.69, bodu=173, $$4\frac{5}{8} - (10 + 11 + 2\frac{2}{5} \cdot (3\frac{5}{7} - 2\frac{4}{10}))=\textcolor{white}{-19\frac{741}{1400}}$$return {
["body"] = 173,
["id"] = "Cum8Mw_0922_0602",
["obtiznost"] = 1.49,
["reseni"] = {
["float"] = -19.529285714286,
["objekt"] = {
["hodnota"] = {
["citatel"] = -27341,
["jmenovatel"] = 1400 },
["render"] = "\\frac{-27341}{1400}",
["typ"] = "cislo" },
["tex"] = "-19\\frac{741}{1400}",
["x"] = -19,
["y"] = 741,
["z"] = 1400 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.69",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{7} - 2\\frac{4}{10}",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{7} - 2\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "2\\frac{2}{5} \\cdot (3\\frac{5}{7} - 2\\frac{4}{10})",
["typ"] = "krat" },
["render"] = "10 + 11 + 2\\frac{2}{5} \\cdot (3\\frac{5}{7} - 2\\frac{4}{10})",
["typ"] = "plus" },
["render"] = "(10 + 11 + 2\\frac{2}{5} \\cdot (3\\frac{5}{7} - 2\\frac{4}{10}))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{8} - (10 + 11 + 2\\frac{2}{5} \\cdot (3\\frac{5}{7} - 2\\frac{4}{10}))",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.7, bodu=86, $$\frac{\frac{15}{13 - (-17)} \cdot 2\frac{3}{10}}{12}=\textcolor{white}{\frac{23}{240}}$$return {
["body"] = 86,
["id"] = "1Uz6LS_0922_0602",
["obtiznost"] = 0.9,
["reseni"] = {
["float"] = 0.095833333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 240 },
["render"] = "\\frac{23}{240}",
["typ"] = "cislo" },
["tex"] = "\\frac{23}{240}",
["y"] = 23,
["z"] = 240 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "13 - (-17)",
["typ"] = "minus" },
["render"] = "\\frac{15}{13 - (-17)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{13 - (-17)} \\cdot 2\\frac{3}{10}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{15}{13 - (-17)} \\cdot 2\\frac{3}{10}}{12}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.71, bodu=115, $$\frac{11}{-12 \cdot 4\frac{1}{8}} \cdot 16 + 4\frac{1}{3}=\textcolor{white}{\frac{7}{9}}$$return {
["body"] = 115,
["id"] = "papsi7_0922_0602",
["obtiznost"] = 1.11,
["reseni"] = {
["float"] = 0.77777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 9 },
["render"] = "\\frac{21}{27}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{9}",
["y"] = 7,
["z"] = 9 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 4\\frac{1}{8}",
["typ"] = "krat" },
["render"] = "\\frac{11}{-12 \\cdot 4\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-12 \\cdot 4\\frac{1}{8}} \\cdot 16",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-12 \\cdot 4\\frac{1}{8}} \\cdot 16 + 4\\frac{1}{3}",
["typ"] = "plus" } }
seed: E4z7V47fG8wfmM9CexuM_0.72, bodu=146, $$(14 + 1\frac{5}{10}) \cdot 2\frac{4}{10} \cdot -21 \cdot (3\frac{5}{8} - 15)=\textcolor{white}{8886{,}15}$$return {
["body"] = 146,
["id"] = "VXaYOT_0922_0602",
["obtiznost"] = 1.32,
["reseni"] = {
["float"] = 8886.15,
["objekt"] = {
["hodnota"] = {
["citatel"] = 177723,
["jmenovatel"] = 20 },
["render"] = "\\frac{355446}{40}",
["typ"] = "cislo" },
["tex"] = "8886\\frac{3}{20}",
["tex_float"] = "8886{,}15",
["x"] = 8886,
["y"] = 3,
["z"] = 20 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "14 + 1\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(14 + 1\\frac{5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "(14 + 1\\frac{5}{10}) \\cdot 2\\frac{4}{10}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} - 15",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{8} - 15)",
["typ"] = "zavorka" },
["render"] = "-21 \\cdot (3\\frac{5}{8} - 15)",
["typ"] = "krat" },
["render"] = "(14 + 1\\frac{5}{10}) \\cdot 2\\frac{4}{10} \\cdot -21 \\cdot (3\\frac{5}{8} - 15)",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.73, bodu=118, $$12 - (8 - 15 + (-4)) - \frac{1\frac{2}{7}}{3\frac{3}{6}}=\textcolor{white}{22\frac{31}{49}}$$return {
["body"] = 118,
["id"] = "UPRKRm_0922_0602",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = 22.632653061224,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1109,
["jmenovatel"] = 49 },
["render"] = "\\frac{1109}{49}",
["typ"] = "cislo" },
["tex"] = "22\\frac{31}{49}",
["x"] = 22,
["y"] = 31,
["z"] = 49 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.73",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "8 - 15",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "8 - 15 + (-4)",
["typ"] = "plus" },
["render"] = "(8 - 15 + (-4))",
["typ"] = "zavorka" },
["render"] = "12 - (8 - 15 + (-4))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{7}}{3\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "12 - (8 - 15 + (-4)) - \\frac{1\\frac{2}{7}}{3\\frac{3}{6}}",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.74, bodu=92, $$((11 + (-9))^4 + 4\frac{2}{7} + (-3)) \cdot \frac{11}{-13}=\textcolor{white}{-14\frac{57}{91}}$$return {
["body"] = 92,
["id"] = "7ueNas_0922_0602",
["obtiznost"] = 0.9468,
["reseni"] = {
["float"] = -14.626373626374,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1331,
["jmenovatel"] = 91 },
["render"] = "\\frac{-1331}{91}",
["typ"] = "cislo" },
["tex"] = "-14\\frac{57}{91}",
["x"] = -14,
["y"] = 57,
["z"] = 91 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.74",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "11 + (-9)",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(11 + (-9))^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "(11 + (-9))^4 + 4\\frac{2}{7}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "(11 + (-9))^4 + 4\\frac{2}{7} + (-3)",
["typ"] = "plus" },
["render"] = "((11 + (-9))^4 + 4\\frac{2}{7} + (-3))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-13}",
["typ"] = "lomeno" },
["render"] = "((11 + (-9))^4 + 4\\frac{2}{7} + (-3)) \\cdot \\frac{11}{-13}",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.75, bodu=120, $$\frac{-4}{-16 \cdot (5 \cdot 3\frac{2}{8} + 13) - 1\frac{3}{8}}=\textcolor{white}{\frac{32}{3755}}$$return {
["body"] = 120,
["id"] = "TOBZfZ_0922_0602",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = 0.0085219707057257,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 3755 },
["render"] = "\\frac{-32}{-3755}",
["typ"] = "cislo" },
["tex"] = "\\frac{32}{3755}",
["y"] = 32,
["z"] = 3755 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "5 \\cdot 3\\frac{2}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "5 \\cdot 3\\frac{2}{8} + 13",
["typ"] = "plus" },
["render"] = "(5 \\cdot 3\\frac{2}{8} + 13)",
["typ"] = "zavorka" },
["render"] = "-16 \\cdot (5 \\cdot 3\\frac{2}{8} + 13)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-16 \\cdot (5 \\cdot 3\\frac{2}{8} + 13) - 1\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "\\frac{-4}{-16 \\cdot (5 \\cdot 3\\frac{2}{8} + 13) - 1\\frac{3}{8}}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.76, bodu=94, $$-11 + (2\frac{5}{10} + 18) \cdot -19 \cdot (-8 - 14)=\textcolor{white}{8558}$$return {
["body"] = 94,
["id"] = "XSCD0n_0922_0602",
["obtiznost"] = 0.96,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 8558,
["jmenovatel"] = 1 },
["render"] = "\\frac{8558}{1}",
["typ"] = "cislo" },
["tex"] = "8558",
["x"] = 8558 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.76",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} + 18",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{10} + 18)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-8 - 14",
["typ"] = "minus" },
["render"] = "(-8 - 14)",
["typ"] = "zavorka" },
["render"] = "-19 \\cdot (-8 - 14)",
["typ"] = "krat" },
["render"] = "(2\\frac{5}{10} + 18) \\cdot -19 \\cdot (-8 - 14)",
["typ"] = "krat" },
["render"] = "-11 + (2\\frac{5}{10} + 18) \\cdot -19 \\cdot (-8 - 14)",
["typ"] = "plus" } }
seed: E4z7V47fG8wfmM9CexuM_0.77, bodu=95, $$3\frac{4}{11} + \frac{-11 - 17 + 18 + (-4)}{20 + 11}=\textcolor{white}{2\frac{311}{341}}$$return {
["body"] = 95,
["id"] = "UVXTlv_0922_0602",
["obtiznost"] = 0.97,
["reseni"] = {
["float"] = 2.9120234604106,
["objekt"] = {
["hodnota"] = {
["citatel"] = 993,
["jmenovatel"] = 341 },
["render"] = "\\frac{993}{341}",
["typ"] = "cislo" },
["tex"] = "2\\frac{311}{341}",
["x"] = 2,
["y"] = 311,
["z"] = 341 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.77",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 11 },
["render"] = "3\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["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" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "18 + (-4)",
["typ"] = "plus" },
["render"] = "-11 - 17 + 18 + (-4)",
["typ"] = "plus" },
["c2"] = {
["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" },
["render"] = "\\frac{-11 - 17 + 18 + (-4)}{20 + 11}",
["typ"] = "lomeno" },
["render"] = "3\\frac{4}{11} + \\frac{-11 - 17 + 18 + (-4)}{20 + 11}",
["typ"] = "plus" } }
seed: E4z7V47fG8wfmM9CexuM_0.78, bodu=125, $$(\frac{-12}{-17} + \frac{21}{3\frac{3}{8}}) \cdot 2\frac{3}{7}=\textcolor{white}{16\frac{52}{63}}$$return {
["body"] = 125,
["id"] = "fHDLja_0922_0602",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = 16.825396825397,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1060,
["jmenovatel"] = 63 },
["render"] = "\\frac{18020}{1071}",
["typ"] = "cislo" },
["tex"] = "16\\frac{52}{63}",
["x"] = 16,
["y"] = 52,
["z"] = 63 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.78",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{-17}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{21}{3\\frac{3}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-12}{-17} + \\frac{21}{3\\frac{3}{8}}",
["typ"] = "plus" },
["render"] = "(\\frac{-12}{-17} + \\frac{21}{3\\frac{3}{8}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(\\frac{-12}{-17} + \\frac{21}{3\\frac{3}{8}}) \\cdot 2\\frac{3}{7}",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.79, bodu=126, $$13 \cdot -15 \cdot 8 \cdot (1\frac{2}{7} - 1\frac{5}{9})=\textcolor{white}{420\frac{20}{21}}$$return {
["body"] = 126,
["id"] = "v8povX_0922_0602",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 420.95238095238,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8840,
["jmenovatel"] = 21 },
["render"] = "\\frac{26520}{63}",
["typ"] = "cislo" },
["tex"] = "420\\frac{20}{21}",
["x"] = 420,
["y"] = 20,
["z"] = 21 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "13 \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "13 \\cdot -15 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{7} - 1\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{7} - 1\\frac{5}{9})",
["typ"] = "zavorka" },
["render"] = "13 \\cdot -15 \\cdot 8 \\cdot (1\\frac{2}{7} - 1\\frac{5}{9})",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.8, bodu=128, $$4\frac{5}{14} \cdot -13 \cdot (2\frac{4}{7} - (-11) - 12) - (-5)=\textcolor{white}{-84\frac{1}{98}}$$return {
["body"] = 128,
["id"] = "3j3ZMa_0922_0602",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = -84.010204081633,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8233,
["jmenovatel"] = 98 },
["render"] = "\\frac{-8233}{98}",
["typ"] = "cislo" },
["tex"] = "-84\\frac{1}{98}",
["x"] = -84,
["y"] = 1,
["z"] = 98 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 61,
["jmenovatel"] = 14 },
["render"] = "4\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{14} \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} - (-11)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} - (-11) - 12",
["typ"] = "minus" },
["render"] = "(2\\frac{4}{7} - (-11) - 12)",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{14} \\cdot -13 \\cdot (2\\frac{4}{7} - (-11) - 12)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{14} \\cdot -13 \\cdot (2\\frac{4}{7} - (-11) - 12) - (-5)",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.81, bodu=160, $$18 \cdot 13 \cdot 4\frac{1}{4} \cdot (\frac{13}{4\frac{3}{12}} - 4\frac{1}{7})=\textcolor{white}{-1078\frac{1}{14}}$$return {
["body"] = 160,
["id"] = "bUFPg8_0922_0602",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = -1078.0714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15093,
["jmenovatel"] = 14 },
["render"] = "\\frac{-30186}{28}",
["typ"] = "cislo" },
["tex"] = "-1078\\frac{1}{14}",
["x"] = -1078,
["y"] = 1,
["z"] = 14 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "13 \\cdot 4\\frac{1}{4}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{4\\frac{3}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{13}{4\\frac{3}{12}} - 4\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "(\\frac{13}{4\\frac{3}{12}} - 4\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "13 \\cdot 4\\frac{1}{4} \\cdot (\\frac{13}{4\\frac{3}{12}} - 4\\frac{1}{7})",
["typ"] = "krat" },
["render"] = "18 \\cdot 13 \\cdot 4\\frac{1}{4} \\cdot (\\frac{13}{4\\frac{3}{12}} - 4\\frac{1}{7})",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.82, bodu=195, $$12 \cdot (1\frac{1}{9} + (-20 + 1\frac{1}{10} + 2\frac{3}{8} + 8) \cdot 3\frac{2}{9})=\textcolor{white}{-316{,}3}$$return {
["body"] = 195,
["id"] = "r6mBGm_0922_0602",
["obtiznost"] = 1.62,
["reseni"] = {
["float"] = -316.3,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3163,
["jmenovatel"] = 10 },
["render"] = "\\frac{-37956}{120}",
["typ"] = "cislo" },
["tex"] = "-316\\frac{3}{10}",
["tex_float"] = "-316{,}3",
["x"] = -316,
["y"] = 3,
["z"] = 10 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "-20 + 1\\frac{1}{10}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-20 + 1\\frac{1}{10} + 2\\frac{3}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-20 + 1\\frac{1}{10} + 2\\frac{3}{8} + 8",
["typ"] = "plus" },
["render"] = "(-20 + 1\\frac{1}{10} + 2\\frac{3}{8} + 8)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "(-20 + 1\\frac{1}{10} + 2\\frac{3}{8} + 8) \\cdot 3\\frac{2}{9}",
["typ"] = "krat" },
["render"] = "1\\frac{1}{9} + (-20 + 1\\frac{1}{10} + 2\\frac{3}{8} + 8) \\cdot 3\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{9} + (-20 + 1\\frac{1}{10} + 2\\frac{3}{8} + 8) \\cdot 3\\frac{2}{9})",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (1\\frac{1}{9} + (-20 + 1\\frac{1}{10} + 2\\frac{3}{8} + 8) \\cdot 3\\frac{2}{9})",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.83, bodu=270, $$\frac{1\frac{1}{10} - 3\frac{1}{4}}{\frac{4\frac{5}{13}}{2\frac{4}{9}} + 3\frac{5}{12} - (-12) + 4\frac{5}{13}}=\textcolor{white}{-\frac{18447}{185285}}$$return {
["body"] = 270,
["id"] = "Y1VDN7_0922_0602",
["obtiznost"] = 2.03,
["reseni"] = {
["float"] = -0.099560137086111,
["objekt"] = {
["hodnota"] = {
["citatel"] = -18447,
["jmenovatel"] = 185285 },
["render"] = "\\frac{-73788}{741140}",
["typ"] = "cislo" },
["tex"] = "-\\frac{18447}{185285}",
["y"] = -18447,
["z"] = 185285 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 10 },
["render"] = "1\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{10} - 3\\frac{1}{4}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{13}}{2\\frac{4}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} - (-12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} - (-12) + 4\\frac{5}{13}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{5}{13}}{2\\frac{4}{9}} + 3\\frac{5}{12} - (-12) + 4\\frac{5}{13}",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{1}{10} - 3\\frac{1}{4}}{\\frac{4\\frac{5}{13}}{2\\frac{4}{9}} + 3\\frac{5}{12} - (-12) + 4\\frac{5}{13}}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.84, bodu=165, $$\frac{2\frac{5}{10}}{12 - 2\frac{2}{11} - \frac{1\frac{1}{9}}{10 \cdot 21}}=\textcolor{white}{\frac{10395}{40802}}$$return {
["body"] = 165,
["id"] = "Ui8Bcf_0922_0602",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = 0.25476692319004,
["objekt"] = {
["hodnota"] = {
["citatel"] = 10395,
["jmenovatel"] = 40802 },
["render"] = "\\frac{10395}{40802}",
["typ"] = "cislo" },
["tex"] = "\\frac{10395}{40802}",
["y"] = 10395,
["z"] = 40802 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 11 },
["render"] = "2\\frac{2}{11}",
["typ"] = "cislo" },
["render"] = "12 - 2\\frac{2}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "10 \\cdot 21",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{1}{9}}{10 \\cdot 21}",
["typ"] = "lomeno" },
["render"] = "12 - 2\\frac{2}{11} - \\frac{1\\frac{1}{9}}{10 \\cdot 21}",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{5}{10}}{12 - 2\\frac{2}{11} - \\frac{1\\frac{1}{9}}{10 \\cdot 21}}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.85, bodu=200, $$\frac{4\frac{2}{10} + 3\frac{2}{4}}{\frac{3\frac{5}{14} + (-15) - 12}{4\frac{3}{8}} \cdot 10}=\textcolor{white}{-\frac{3773}{26480}}$$return {
["body"] = 200,
["id"] = "8kwkV1_0922_0602",
["obtiznost"] = 1.65,
["reseni"] = {
["float"] = -0.14248489425982,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3773,
["jmenovatel"] = 26480 },
["render"] = "\\frac{3773}{-26480}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3773}{26480}",
["y"] = -3773,
["z"] = 26480 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{10} + 3\\frac{2}{4}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 14 },
["render"] = "3\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{14} + (-15)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{14} + (-15) - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{14} + (-15) - 12}{4\\frac{3}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{14} + (-15) - 12}{4\\frac{3}{8}} \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{2}{10} + 3\\frac{2}{4}}{\\frac{3\\frac{5}{14} + (-15) - 12}{4\\frac{3}{8}} \\cdot 10}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.86, bodu=92, $$\frac{\frac{-8}{(-15 - (-21))^3}}{15} + 11 - 14=\textcolor{white}{-3\frac{1}{405}}$$return {
["body"] = 92,
["id"] = "fOvOs2_0922_0602",
["obtiznost"] = 0.9468,
["reseni"] = {
["float"] = -3.0024691358025,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1216,
["jmenovatel"] = 405 },
["render"] = "\\frac{-1216}{405}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{1}{405}",
["x"] = -3,
["y"] = 1,
["z"] = 405 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "-15 - (-21)",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(-15 - (-21))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{-8}{(-15 - (-21))^3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-8}{(-15 - (-21))^3}}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "11 - 14",
["typ"] = "minus" },
["render"] = "\\frac{\\frac{-8}{(-15 - (-21))^3}}{15} + 11 - 14",
["typ"] = "plus" } }
seed: E4z7V47fG8wfmM9CexuM_0.87, bodu=109, $$(4\frac{2}{6} - 7 - \frac{9 - (-12)}{13}) \cdot 9=\textcolor{white}{-38\frac{7}{13}}$$return {
["body"] = 109,
["id"] = "Epg6ML_0922_0602",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = -38.538461538462,
["objekt"] = {
["hodnota"] = {
["citatel"] = -501,
["jmenovatel"] = 13 },
["render"] = "\\frac{-1503}{39}",
["typ"] = "cislo" },
["tex"] = "-38\\frac{7}{13}",
["x"] = -38,
["y"] = 7,
["z"] = 13 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.87",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{6} - 7",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "9 - (-12)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{9 - (-12)}{13}",
["typ"] = "lomeno" },
["render"] = "4\\frac{2}{6} - 7 - \\frac{9 - (-12)}{13}",
["typ"] = "minus" },
["render"] = "(4\\frac{2}{6} - 7 - \\frac{9 - (-12)}{13})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(4\\frac{2}{6} - 7 - \\frac{9 - (-12)}{13}) \\cdot 9",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.88, bodu=172, $$19 + (3\frac{5}{7} \cdot 11 - (\frac{-20}{2\frac{3}{6}})^3) \cdot 10=\textcolor{white}{5547\frac{4}{7}}$$return {
["body"] = 172,
["id"] = "7OHJmk_0922_0602",
["obtiznost"] = 1.4852,
["reseni"] = {
["float"] = 5547.5714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 38833,
["jmenovatel"] = 7 },
["render"] = "\\frac{38833}{7}",
["typ"] = "cislo" },
["tex"] = "5547\\frac{4}{7}",
["x"] = 5547,
["y"] = 4,
["z"] = 7 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["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} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-20}{2\\frac{3}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-20}{2\\frac{3}{6}})^3",
["typ"] = "mocnina" },
["render"] = "3\\frac{5}{7} \\cdot 11 - (\\frac{-20}{2\\frac{3}{6}})^3",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{7} \\cdot 11 - (\\frac{-20}{2\\frac{3}{6}})^3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{7} \\cdot 11 - (\\frac{-20}{2\\frac{3}{6}})^3) \\cdot 10",
["typ"] = "krat" },
["render"] = "19 + (3\\frac{5}{7} \\cdot 11 - (\\frac{-20}{2\\frac{3}{6}})^3) \\cdot 10",
["typ"] = "plus" } }
seed: E4z7V47fG8wfmM9CexuM_0.89, bodu=207, $$\frac{-21 \cdot 4\frac{3}{8} - (4\frac{4}{12} - 4\frac{3}{9})}{-14 - 4\frac{1}{7}}=\textcolor{white}{5\frac{65}{1016}}$$return {
["body"] = 207,
["id"] = "UecslG_0922_0602",
["obtiznost"] = 1.69,
["reseni"] = {
["float"] = 5.0639763779528,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5145,
["jmenovatel"] = 1016 },
["render"] = "\\frac{-5145}{-1016}",
["typ"] = "cislo" },
["tex"] = "5\\frac{65}{1016}",
["x"] = 5,
["y"] = 65,
["z"] = 1016 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "-21 \\cdot 4\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} - 4\\frac{3}{9}",
["typ"] = "minus" },
["render"] = "(4\\frac{4}{12} - 4\\frac{3}{9})",
["typ"] = "zavorka" },
["render"] = "-21 \\cdot 4\\frac{3}{8} - (4\\frac{4}{12} - 4\\frac{3}{9})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "-14 - 4\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "\\frac{-21 \\cdot 4\\frac{3}{8} - (4\\frac{4}{12} - 4\\frac{3}{9})}{-14 - 4\\frac{1}{7}}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.9, bodu=175, $$3\frac{3}{8} - (\frac{-13}{-21} \cdot 4\frac{3}{5} - (3\frac{3}{10} - 14))=\textcolor{white}{-10\frac{29}{168}}$$return {
["body"] = 175,
["id"] = "ZgUzvA_0922_0602",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = -10.172619047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1709,
["jmenovatel"] = 168 },
["render"] = "\\frac{-3418}{336}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{29}{168}",
["x"] = -10,
["y"] = 29,
["z"] = 168 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.9",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-21}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{-21} \\cdot 4\\frac{3}{5}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{10} - 14",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{10} - 14)",
["typ"] = "zavorka" },
["render"] = "\\frac{-13}{-21} \\cdot 4\\frac{3}{5} - (3\\frac{3}{10} - 14)",
["typ"] = "minus" },
["render"] = "(\\frac{-13}{-21} \\cdot 4\\frac{3}{5} - (3\\frac{3}{10} - 14))",
["typ"] = "zavorka" },
["render"] = "3\\frac{3}{8} - (\\frac{-13}{-21} \\cdot 4\\frac{3}{5} - (3\\frac{3}{10} - 14))",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.91, bodu=247, $$\frac{(3\frac{5}{12} + 2\frac{2}{3}) \cdot 3\frac{2}{6} + 3\frac{1}{10}}{\frac{4\frac{2}{7}}{6}}=\textcolor{white}{32\frac{164}{225}}$$return {
["body"] = 247,
["id"] = "xZshZb_0922_0602",
["obtiznost"] = 1.91,
["reseni"] = {
["float"] = 32.728888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7364,
["jmenovatel"] = 225 },
["render"] = "\\frac{7364}{225}",
["typ"] = "cislo" },
["tex"] = "32\\frac{164}{225}",
["x"] = 32,
["y"] = 164,
["z"] = 225 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{12} + 2\\frac{2}{3}",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{12} + 2\\frac{2}{3})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{12} + 2\\frac{2}{3}) \\cdot 3\\frac{2}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "(3\\frac{5}{12} + 2\\frac{2}{3}) \\cdot 3\\frac{2}{6} + 3\\frac{1}{10}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{7}}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{(3\\frac{5}{12} + 2\\frac{2}{3}) \\cdot 3\\frac{2}{6} + 3\\frac{1}{10}}{\\frac{4\\frac{2}{7}}{6}}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.92, bodu=213, $$\frac{(4\frac{4}{9} + 4\frac{4}{13}) \cdot -15}{\frac{1\frac{5}{8}}{3\frac{1}{5}} - 12}=\textcolor{white}{11\frac{24301}{57369}}$$return {
["body"] = 213,
["id"] = "KAQVR8_0922_0602",
["obtiznost"] = 1.72,
["reseni"] = {
["float"] = 11.423591138071,
["objekt"] = {
["hodnota"] = {
["citatel"] = 655360,
["jmenovatel"] = 57369 },
["render"] = "\\frac{-655360}{-57369}",
["typ"] = "cislo" },
["tex"] = "11\\frac{24301}{57369}",
["x"] = 11,
["y"] = 24301,
["z"] = 57369 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 56,
["jmenovatel"] = 13 },
["render"] = "4\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{9} + 4\\frac{4}{13}",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{9} + 4\\frac{4}{13})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "(4\\frac{4}{9} + 4\\frac{4}{13}) \\cdot -15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{8}}{3\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{8}}{3\\frac{1}{5}} - 12",
["typ"] = "minus" },
["render"] = "\\frac{(4\\frac{4}{9} + 4\\frac{4}{13}) \\cdot -15}{\\frac{1\\frac{5}{8}}{3\\frac{1}{5}} - 12}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.93, bodu=248, $$\frac{(-23 + 3\frac{1}{2}) \cdot 13}{-9 + (4\frac{4}{12} - 4\frac{1}{7})^2} - 4\frac{2}{9}=\textcolor{white}{24\frac{4159}{71154}}$$return {
["body"] = 248,
["id"] = "y5drRI_0922_0602",
["obtiznost"] = 1.9128,
["reseni"] = {
["float"] = 24.058450684431,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1711855,
["jmenovatel"] = 71154 },
["render"] = "\\frac{1711855}{71154}",
["typ"] = "cislo" },
["tex"] = "24\\frac{4159}{71154}",
["x"] = 24,
["y"] = 4159,
["z"] = 71154 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "-23 + 3\\frac{1}{2}",
["typ"] = "plus" },
["render"] = "(-23 + 3\\frac{1}{2})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "(-23 + 3\\frac{1}{2}) \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{12} - 4\\frac{1}{7}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{4}{12} - 4\\frac{1}{7})^2",
["typ"] = "mocnina" },
["render"] = "-9 + (4\\frac{4}{12} - 4\\frac{1}{7})^2",
["typ"] = "plus" },
["render"] = "\\frac{(-23 + 3\\frac{1}{2}) \\cdot 13}{-9 + (4\\frac{4}{12} - 4\\frac{1}{7})^2}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{(-23 + 3\\frac{1}{2}) \\cdot 13}{-9 + (4\\frac{4}{12} - 4\\frac{1}{7})^2} - 4\\frac{2}{9}",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.94, bodu=149, $$(16 + 14 - 2\frac{5}{13}) \cdot \frac{1\frac{2}{7}}{-18 \cdot -14}=\textcolor{white}{\frac{359}{2548}}$$return {
["body"] = 149,
["id"] = "LK5zbM_0922_0602",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = 0.14089481946625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 359,
["jmenovatel"] = 2548 },
["render"] = "\\frac{359}{2548}",
["typ"] = "cislo" },
["tex"] = "\\frac{359}{2548}",
["y"] = 359,
["z"] = 2548 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.94",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "14 - 2\\frac{5}{13}",
["typ"] = "minus" },
["render"] = "16 + 14 - 2\\frac{5}{13}",
["typ"] = "plus" },
["render"] = "(16 + 14 - 2\\frac{5}{13})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-18 \\cdot -14",
["typ"] = "krat" },
["render"] = "\\frac{1\\frac{2}{7}}{-18 \\cdot -14}",
["typ"] = "lomeno" },
["render"] = "(16 + 14 - 2\\frac{5}{13}) \\cdot \\frac{1\\frac{2}{7}}{-18 \\cdot -14}",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.95, bodu=218, $$\frac{-20}{16 - (4\frac{1}{2} + 3\frac{2}{5}) - 13 - (4\frac{1}{7} + 3\frac{2}{6})}=\textcolor{white}{1\frac{1601}{2599}}$$return {
["body"] = 218,
["id"] = "BINE5e_0922_0602",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = 1.6160061562139,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4200,
["jmenovatel"] = 2599 },
["render"] = "\\frac{-4200}{-2599}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1601}{2599}",
["x"] = 1,
["y"] = 1601,
["z"] = 2599 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.95",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{2} + 3\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{2} + 3\\frac{2}{5})",
["typ"] = "zavorka" },
["render"] = "16 - (4\\frac{1}{2} + 3\\frac{2}{5})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "16 - (4\\frac{1}{2} + 3\\frac{2}{5}) - 13",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} + 3\\frac{2}{6}",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{7} + 3\\frac{2}{6})",
["typ"] = "zavorka" },
["render"] = "16 - (4\\frac{1}{2} + 3\\frac{2}{5}) - 13 - (4\\frac{1}{7} + 3\\frac{2}{6})",
["typ"] = "minus" },
["render"] = "\\frac{-20}{16 - (4\\frac{1}{2} + 3\\frac{2}{5}) - 13 - (4\\frac{1}{7} + 3\\frac{2}{6})}",
["typ"] = "lomeno" } }
seed: E4z7V47fG8wfmM9CexuM_0.96, bodu=248, $$(\frac{-10}{8})^4 - (\frac{3\frac{5}{7}}{11} + 13) + 2\frac{5}{13} + 4\frac{5}{10}=\textcolor{white}{-4\frac{2983}{256256}}$$return {
["body"] = 248,
["id"] = "tZxOvX_0922_0602",
["obtiznost"] = 1.9124,
["reseni"] = {
["float"] = -4.011640703047,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1028007,
["jmenovatel"] = 256256 },
["render"] = "\\frac{-2056014}{512512}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{2983}{256256}",
["x"] = -4,
["y"] = 2983,
["z"] = 256256 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-10}{8})^4",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["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"] = "\\frac{3\\frac{5}{7}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{7}}{11} + 13",
["typ"] = "plus" },
["render"] = "(\\frac{3\\frac{5}{7}}{11} + 13)",
["typ"] = "zavorka" },
["render"] = "(\\frac{-10}{8})^4 - (\\frac{3\\frac{5}{7}}{11} + 13)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "(\\frac{-10}{8})^4 - (\\frac{3\\frac{5}{7}}{11} + 13) + 2\\frac{5}{13}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "(\\frac{-10}{8})^4 - (\\frac{3\\frac{5}{7}}{11} + 13) + 2\\frac{5}{13} + 4\\frac{5}{10}",
["typ"] = "plus" } }
seed: E4z7V47fG8wfmM9CexuM_0.97, bodu=154, $$4\frac{4}{8} + 19 \cdot -20 - \frac{-10}{-12 - 2\frac{5}{9}}=\textcolor{white}{-376\frac{49}{262}}$$return {
["body"] = 154,
["id"] = "NhHagT_0922_0602",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = -376.18702290076,
["objekt"] = {
["hodnota"] = {
["citatel"] = -98561,
["jmenovatel"] = 262 },
["render"] = "\\frac{-98561}{262}",
["typ"] = "cislo" },
["tex"] = "-376\\frac{49}{262}",
["x"] = -376,
["y"] = 49,
["z"] = 262 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "19 \\cdot -20",
["typ"] = "krat" },
["render"] = "4\\frac{4}{8} + 19 \\cdot -20",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-12 - 2\\frac{5}{9}",
["typ"] = "minus" },
["render"] = "\\frac{-10}{-12 - 2\\frac{5}{9}}",
["typ"] = "lomeno" },
["render"] = "4\\frac{4}{8} + 19 \\cdot -20 - \\frac{-10}{-12 - 2\\frac{5}{9}}",
["typ"] = "minus" } }
seed: E4z7V47fG8wfmM9CexuM_0.98, bodu=223, $$(1\frac{5}{6} + 2\frac{4}{12}) \cdot \frac{2\frac{3}{10} - 3\frac{1}{8}}{16 \cdot 10}=\textcolor{white}{-\frac{11}{512}}$$return {
["body"] = 223,
["id"] = "Xu526H_0922_0602",
["obtiznost"] = 1.78,
["reseni"] = {
["float"] = -0.021484375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 512 },
["render"] = "\\frac{-825}{38400}",
["typ"] = "cislo" },
["tex"] = "-\\frac{11}{512}",
["y"] = -11,
["z"] = 512 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.98",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 6 },
["render"] = "1\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{6} + 2\\frac{4}{12}",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{6} + 2\\frac{4}{12})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} - 3\\frac{1}{8}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "16 \\cdot 10",
["typ"] = "krat" },
["render"] = "\\frac{2\\frac{3}{10} - 3\\frac{1}{8}}{16 \\cdot 10}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{5}{6} + 2\\frac{4}{12}) \\cdot \\frac{2\\frac{3}{10} - 3\\frac{1}{8}}{16 \\cdot 10}",
["typ"] = "krat" } }
seed: E4z7V47fG8wfmM9CexuM_0.99, bodu=126, $$\frac{-22}{13} + \frac{13}{24 + 21 - (4\frac{1}{7} + (-25))}=\textcolor{white}{-1\frac{2966}{5993}}$$return {
["body"] = 126,
["id"] = "yH5PDk_0922_0602",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = -1.494910729184,
["objekt"] = {
["hodnota"] = {
["citatel"] = -8959,
["jmenovatel"] = 5993 },
["render"] = "\\frac{-8959}{5993}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{2966}{5993}",
["x"] = -1,
["y"] = 2966,
["z"] = 5993 },
["seed"] = "E4z7V47fG8wfmM9CexuM_0.99",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-22}{13}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 24,
["jmenovatel"] = 1 },
["render"] = "24",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["render"] = "24 + 21",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -25,
["jmenovatel"] = 1 },
["render"] = "-25",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} + (-25)",
["typ"] = "plus" },
["render"] = "(4\\frac{1}{7} + (-25))",
["typ"] = "zavorka" },
["render"] = "24 + 21 - (4\\frac{1}{7} + (-25))",
["typ"] = "minus" },
["render"] = "\\frac{13}{24 + 21 - (4\\frac{1}{7} + (-25))}",
["typ"] = "lomeno" },
["render"] = "\\frac{-22}{13} + \\frac{13}{24 + 21 - (4\\frac{1}{7} + (-25))}",
["typ"] = "plus" } }
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