- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: TaNNjeFB9PGYthcpIdRV_0, bodu=10, $$\frac{6}{4} \cdot (9 + 9)=\textcolor{white}{27}$$return {
["body"] = 10,
["id"] = "5p9Edp_0629_2254",
["obtiznost"] = 0,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 1 },
["render"] = "\\frac{54}{2}",
["typ"] = "cislo" },
["tex"] = "27",
["x"] = 27 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{6}{4}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "9 + 9",
["typ"] = "plus" },
["render"] = "(9 + 9)",
["typ"] = "zavorka" },
["render"] = "\\frac{6}{4} \\cdot (9 + 9)",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.01, bodu=10, $$8 + 5 + \frac{-8}{5}=\textcolor{white}{11{,}4}$$return {
["body"] = 10,
["id"] = "9ypQ9a_0629_2254",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = 11.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 5 },
["render"] = "\\frac{57}{5}",
["typ"] = "cislo" },
["tex"] = "11\\frac{2}{5}",
["tex_float"] = "11{,}4",
["x"] = 11,
["y"] = 2,
["z"] = 5 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 + 5",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{-8}{5}",
["typ"] = "lomeno" },
["render"] = "8 + 5 + \\frac{-8}{5}",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.02, bodu=5, $$(5 - 4) \cdot 4 - 6=\textcolor{white}{-2}$$return {
["body"] = 5,
["id"] = "nQV3I0_0629_2254",
["obtiznost"] = 0.02,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "\\frac{-2}{1}",
["typ"] = "cislo" },
["tex"] = "-2",
["x"] = -2 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 - 4",
["typ"] = "minus" },
["render"] = "(5 - 4)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(5 - 4) \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(5 - 4) \\cdot 4 - 6",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.03, bodu=10, $$5 + 11 + \frac{-10}{8}=\textcolor{white}{14{,}75}$$return {
["body"] = 10,
["id"] = "xZn514_0629_2254",
["obtiznost"] = 0.03,
["reseni"] = {
["float"] = 14.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = 59,
["jmenovatel"] = 4 },
["render"] = "\\frac{59}{4}",
["typ"] = "cislo" },
["tex"] = "14\\frac{3}{4}",
["tex_float"] = "14{,}75",
["x"] = 14,
["y"] = 3,
["z"] = 4 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.03",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["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" },
["render"] = "11 + \\frac{-10}{8}",
["typ"] = "plus" },
["render"] = "5 + 11 + \\frac{-10}{8}",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.04, bodu=12, $$(2 + 7 - 4 \cdot -4)^2=\textcolor{white}{625}$$return {
["body"] = 12,
["id"] = "0mr6ln_0629_2254",
["obtiznost"] = 0.2904,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 625,
["jmenovatel"] = 1 },
["render"] = "\\frac{625}{1}",
["typ"] = "cislo" },
["tex"] = "625",
["x"] = 625 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.04",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2 + 7",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "4 \\cdot -4",
["typ"] = "krat" },
["render"] = "2 + 7 - 4 \\cdot -4",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(2 + 7 - 4 \\cdot -4)^2",
["typ"] = "mocnina" } }
seed: TaNNjeFB9PGYthcpIdRV_0.05, bodu=11, $$\frac{5}{6} \cdot (7 - 5)=\textcolor{white}{1\frac{2}{3}}$$return {
["body"] = 11,
["id"] = "scSF4B_0629_2254",
["obtiznost"] = 0.05,
["reseni"] = {
["float"] = 1.6666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "\\frac{10}{6}",
["typ"] = "cislo" },
["tex"] = "1\\frac{2}{3}",
["x"] = 1,
["y"] = 2,
["z"] = 3 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{5}{6}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "7 - 5",
["typ"] = "minus" },
["render"] = "(7 - 5)",
["typ"] = "zavorka" },
["render"] = "\\frac{5}{6} \\cdot (7 - 5)",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.06, bodu=11, $$(6 + 8) \cdot \frac{11}{-2}=\textcolor{white}{-77}$$return {
["body"] = 11,
["id"] = "pxp1vf_0629_2254",
["obtiznost"] = 0.06,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -77,
["jmenovatel"] = 1 },
["render"] = "\\frac{-154}{2}",
["typ"] = "cislo" },
["tex"] = "-77",
["x"] = -77 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.06",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 + 8",
["typ"] = "plus" },
["render"] = "(6 + 8)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-2}",
["typ"] = "lomeno" },
["render"] = "(6 + 8) \\cdot \\frac{11}{-2}",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.07, bodu=11, $$6 + \frac{7}{-10} - 10=\textcolor{white}{-4{,}7}$$return {
["body"] = 11,
["id"] = "5a0xwf_0629_2254",
["obtiznost"] = 0.07,
["reseni"] = {
["float"] = -4.7,
["objekt"] = {
["hodnota"] = {
["citatel"] = -47,
["jmenovatel"] = 10 },
["render"] = "\\frac{-47}{10}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{7}{10}",
["tex_float"] = "-4{,}7",
["x"] = -4,
["y"] = 7,
["z"] = 10 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["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"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{7}{-10} - 10",
["typ"] = "minus" },
["render"] = "6 + \\frac{7}{-10} - 10",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.08, bodu=6, $$7 - (8 - 11 - 5)=\textcolor{white}{15}$$return {
["body"] = 6,
["id"] = "ijPhRE_0629_2254",
["obtiznost"] = 0.08,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "\\frac{15}{1}",
["typ"] = "cislo" },
["tex"] = "15",
["x"] = 15 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.08",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 - 11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 - 11 - 5",
["typ"] = "minus" },
["render"] = "(8 - 11 - 5)",
["typ"] = "zavorka" },
["render"] = "7 - (8 - 11 - 5)",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.09, bodu=12, $$\frac{7 - 4 \cdot -9}{7}=\textcolor{white}{6\frac{1}{7}}$$return {
["body"] = 12,
["id"] = "z7qWOc_0629_2254",
["obtiznost"] = 0.09,
["reseni"] = {
["float"] = 6.1428571428571,
["objekt"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 7 },
["render"] = "\\frac{43}{7}",
["typ"] = "cislo" },
["tex"] = "6\\frac{1}{7}",
["x"] = 6,
["y"] = 1,
["z"] = 7 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.09",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4 \\cdot -9",
["typ"] = "krat" },
["render"] = "7 - 4 \\cdot -9",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{7 - 4 \\cdot -9}{7}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.1, bodu=24, $$\frac{-5 \cdot -10 - 1\frac{3}{6}}{7}=\textcolor{white}{6\frac{13}{14}}$$return {
["body"] = 24,
["id"] = "LLfubr_0629_2254",
["obtiznost"] = 0.3,
["reseni"] = {
["float"] = 6.9285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 97,
["jmenovatel"] = 14 },
["render"] = "\\frac{97}{14}",
["typ"] = "cislo" },
["tex"] = "6\\frac{13}{14}",
["x"] = 6,
["y"] = 13,
["z"] = 14 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.1",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-5 \\cdot -10",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot -10 - 1\\frac{3}{6}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-5 \\cdot -10 - 1\\frac{3}{6}}{7}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.11, bodu=13, $$\frac{5 \cdot 4}{(-7 + 6)^2}=\textcolor{white}{20}$$return {
["body"] = 13,
["id"] = "bwMzng_0629_2254",
["obtiznost"] = 0.1108,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "\\frac{20}{1}",
["typ"] = "cislo" },
["tex"] = "20",
["x"] = 20 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "5 \\cdot 4",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-7 + 6",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-7 + 6)^2",
["typ"] = "mocnina" },
["render"] = "\\frac{5 \\cdot 4}{(-7 + 6)^2}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.12, bodu=41, $$(\frac{6 + 8}{(9 + (-6))^3})^2=\textcolor{white}{\frac{196}{729}}$$return {
["body"] = 41,
["id"] = "327H6X_0629_2254",
["obtiznost"] = 0.5012,
["reseni"] = {
["float"] = 0.26886145404664,
["objekt"] = {
["hodnota"] = {
["citatel"] = 196,
["jmenovatel"] = 729 },
["render"] = "\\frac{196}{729}",
["typ"] = "cislo" },
["tex"] = "\\frac{196}{729}",
["y"] = 196,
["z"] = 729 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.12",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 + 8",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "9 + (-6)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(9 + (-6))^3",
["typ"] = "mocnina" },
["render"] = "\\frac{6 + 8}{(9 + (-6))^3}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6 + 8}{(9 + (-6))^3})^2",
["typ"] = "mocnina" } }
seed: TaNNjeFB9PGYthcpIdRV_0.13, bodu=7, $$8 \cdot (7 - (-2)) \cdot 3=\textcolor{white}{216}$$return {
["body"] = 7,
["id"] = "vEP7y7_0629_2254",
["obtiznost"] = 0.13,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 216,
["jmenovatel"] = 1 },
["render"] = "\\frac{216}{1}",
["typ"] = "cislo" },
["tex"] = "216",
["x"] = 216 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["render"] = "7 - (-2)",
["typ"] = "minus" },
["render"] = "(7 - (-2))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot (7 - (-2))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "8 \\cdot (7 - (-2)) \\cdot 3",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.14, bodu=7, $$(-5 - (-7) + 6) \cdot 6=\textcolor{white}{48}$$return {
["body"] = 7,
["id"] = "S1dv6y_0629_2254",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 48,
["jmenovatel"] = 1 },
["render"] = "\\frac{48}{1}",
["typ"] = "cislo" },
["tex"] = "48",
["x"] = 48 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.14",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-5 - (-7)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-5 - (-7) + 6",
["typ"] = "plus" },
["render"] = "(-5 - (-7) + 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(-5 - (-7) + 6) \\cdot 6",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.15, bodu=28, $$\frac{4}{\frac{9}{2\frac{2}{5} + 11}}=\textcolor{white}{5\frac{43}{45}}$$return {
["body"] = 28,
["id"] = "yFdilz_0629_2254",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = 5.9555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 268,
["jmenovatel"] = 45 },
["render"] = "\\frac{268}{45}",
["typ"] = "cislo" },
["tex"] = "5\\frac{43}{45}",
["x"] = 5,
["y"] = 43,
["z"] = 45 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.15",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{5} + 11",
["typ"] = "plus" },
["render"] = "\\frac{9}{2\\frac{2}{5} + 11}",
["typ"] = "lomeno" },
["render"] = "\\frac{4}{\\frac{9}{2\\frac{2}{5} + 11}}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.16, bodu=15, $$9 - 8 + (\frac{5}{10})^2=\textcolor{white}{1{,}25}$$return {
["body"] = 15,
["id"] = "eOj0ae_0629_2254",
["obtiznost"] = 0.162,
["reseni"] = {
["float"] = 1.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "\\frac{5}{4}",
["typ"] = "cislo" },
["tex"] = "1\\frac{1}{4}",
["tex_float"] = "1{,}25",
["x"] = 1,
["y"] = 1,
["z"] = 4 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.16",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "9 - 8",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{5}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5}{10})^2",
["typ"] = "mocnina" },
["render"] = "9 - 8 + (\\frac{5}{10})^2",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.17, bodu=8, $$6 - 9 \cdot -11 - 4=\textcolor{white}{101}$$return {
["body"] = 8,
["id"] = "UYca0Q_0629_2254",
["obtiznost"] = 0.17,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 101,
["jmenovatel"] = 1 },
["render"] = "\\frac{101}{1}",
["typ"] = "cislo" },
["tex"] = "101",
["tex_float"] = "101",
["x"] = 101 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.17",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "9 \\cdot -11",
["typ"] = "krat" },
["render"] = "6 - 9 \\cdot -11",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "6 - 9 \\cdot -11 - 4",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.18, bodu=16, $$\frac{11 \cdot 8}{8}=\textcolor{white}{11}$$return {
["body"] = 16,
["id"] = "XzcQtD_0629_2254",
["obtiznost"] = 0.18,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "\\frac{88}{8}",
["typ"] = "cislo" },
["tex"] = "11",
["tex_float"] = "11",
["x"] = 11 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.18",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "11 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot 8}{8}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.19, bodu=41, $$\frac{4\frac{2}{5} - (-7)}{(-4 + 8)^4}=\textcolor{white}{\frac{57}{1280}}$$return {
["body"] = 41,
["id"] = "EvH34t_0629_2254",
["obtiznost"] = 0.4928,
["reseni"] = {
["float"] = 0.04453125,
["objekt"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 1280 },
["render"] = "\\frac{57}{1280}",
["typ"] = "cislo" },
["tex"] = "\\frac{57}{1280}",
["y"] = 57,
["z"] = 1280 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} - (-7)",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-4 + 8",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-4 + 8)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{4\\frac{2}{5} - (-7)}{(-4 + 8)^4}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.2, bodu=20, $$\frac{(8 - 11)^4}{\frac{-9}{8}}=\textcolor{white}{-72}$$return {
["body"] = 20,
["id"] = "5cserU_0629_2254",
["obtiznost"] = 0.2328,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -72,
["jmenovatel"] = 1 },
["render"] = "\\frac{648}{-9}",
["typ"] = "cislo" },
["tex"] = "-72",
["x"] = -72 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.2",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 - 11",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(8 - 11)^4",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{8}",
["typ"] = "lomeno" },
["render"] = "\\frac{(8 - 11)^4}{\\frac{-9}{8}}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.21, bodu=52, $$\frac{1\frac{5}{9} - 4\frac{1}{4} - (11 - (-9))}{-12}=\textcolor{white}{1\frac{385}{432}}$$return {
["body"] = 52,
["id"] = "tF96hV_0629_2254",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = 1.8912037037037,
["objekt"] = {
["hodnota"] = {
["citatel"] = 817,
["jmenovatel"] = 432 },
["render"] = "\\frac{-817}{-432}",
["typ"] = "cislo" },
["tex"] = "1\\frac{385}{432}",
["x"] = 1,
["y"] = 385,
["z"] = 432 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.21",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} - 4\\frac{1}{4}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "11 - (-9)",
["typ"] = "minus" },
["render"] = "(11 - (-9))",
["typ"] = "zavorka" },
["render"] = "1\\frac{5}{9} - 4\\frac{1}{4} - (11 - (-9))",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{9} - 4\\frac{1}{4} - (11 - (-9))}{-12}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.22, bodu=19, $$(8 + 1\frac{5}{5} + 6 - 5) \cdot 10=\textcolor{white}{110}$$return {
["body"] = 19,
["id"] = "axHjOb_0629_2254",
["obtiznost"] = 0.22,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 110,
["jmenovatel"] = 1 },
["render"] = "\\frac{110}{1}",
["typ"] = "cislo" },
["tex"] = "110",
["x"] = 110 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.22",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "1\\frac{5}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "6 - 5",
["typ"] = "minus" },
["render"] = "1\\frac{5}{5} + 6 - 5",
["typ"] = "plus" },
["render"] = "8 + 1\\frac{5}{5} + 6 - 5",
["typ"] = "plus" },
["render"] = "(8 + 1\\frac{5}{5} + 6 - 5)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(8 + 1\\frac{5}{5} + 6 - 5) \\cdot 10",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.23, bodu=37, $$8 - (9 + 1\frac{3}{7}) \cdot (6 - 14)^2=\textcolor{white}{-659\frac{3}{7}}$$return {
["body"] = 37,
["id"] = "M0PZl0_0629_2254",
["obtiznost"] = 0.456,
["reseni"] = {
["float"] = -659.42857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4616,
["jmenovatel"] = 7 },
["render"] = "\\frac{-4616}{7}",
["typ"] = "cislo" },
["tex"] = "-659\\frac{3}{7}",
["x"] = -659,
["y"] = 3,
["z"] = 7 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.23",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "9 + 1\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(9 + 1\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "6 - 14",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(6 - 14)^2",
["typ"] = "mocnina" },
["render"] = "(9 + 1\\frac{3}{7}) \\cdot (6 - 14)^2",
["typ"] = "krat" },
["render"] = "8 - (9 + 1\\frac{3}{7}) \\cdot (6 - 14)^2",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.24, bodu=20, $$\frac{8}{9 \cdot -12} + 3=\textcolor{white}{2\frac{25}{27}}$$return {
["body"] = 20,
["id"] = "hC2KX0_0629_2254",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = 2.9259259259259,
["objekt"] = {
["hodnota"] = {
["citatel"] = 79,
["jmenovatel"] = 27 },
["render"] = "\\frac{79}{27}",
["typ"] = "cislo" },
["tex"] = "2\\frac{25}{27}",
["x"] = 2,
["y"] = 25,
["z"] = 27 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "9 \\cdot -12",
["typ"] = "krat" },
["render"] = "\\frac{8}{9 \\cdot -12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{8}{9 \\cdot -12} + 3",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.25, bodu=37, $$\frac{4}{-7 - (-10 + 1\frac{1}{3}) \cdot 8}=\textcolor{white}{\frac{12}{187}}$$return {
["body"] = 37,
["id"] = "1VOOAh_0629_2254",
["obtiznost"] = 0.45,
["reseni"] = {
["float"] = 0.064171122994652,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 187 },
["render"] = "\\frac{12}{187}",
["typ"] = "cislo" },
["tex"] = "\\frac{12}{187}",
["y"] = 12,
["z"] = 187 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.25",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "-10 + 1\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "(-10 + 1\\frac{1}{3})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(-10 + 1\\frac{1}{3}) \\cdot 8",
["typ"] = "krat" },
["render"] = "-7 - (-10 + 1\\frac{1}{3}) \\cdot 8",
["typ"] = "minus" },
["render"] = "\\frac{4}{-7 - (-10 + 1\\frac{1}{3}) \\cdot 8}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.26, bodu=38, $$4\frac{2}{7} \cdot 7 \cdot -6 - (-9)=\textcolor{white}{-171}$$return {
["body"] = 38,
["id"] = "x2Y5Br_0629_2254",
["obtiznost"] = 0.46,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -171,
["jmenovatel"] = 1 },
["render"] = "\\frac{-171}{1}",
["typ"] = "cislo" },
["tex"] = "-171",
["x"] = -171 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.26",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "7 \\cdot -6",
["typ"] = "krat" },
["render"] = "4\\frac{2}{7} \\cdot 7 \\cdot -6",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{7} \\cdot 7 \\cdot -6 - (-9)",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.27, bodu=23, $$\frac{-6 \cdot 8}{(-8 - (-6))^4}=\textcolor{white}{-3}$$return {
["body"] = 23,
["id"] = "FUtxuY_0629_2254",
["obtiznost"] = 0.2768,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "\\frac{-48}{16}",
["typ"] = "cislo" },
["tex"] = "-3",
["x"] = -3 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-6 \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-8 - (-6)",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(-8 - (-6))^4",
["typ"] = "mocnina" },
["render"] = "\\frac{-6 \\cdot 8}{(-8 - (-6))^4}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.28, bodu=28, $$(\frac{10}{-5})^2 \cdot (-6 - 7)^2=\textcolor{white}{676}$$return {
["body"] = 28,
["id"] = "IufLKg_0629_2254",
["obtiznost"] = 0.35,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 676,
["jmenovatel"] = 1 },
["render"] = "\\frac{676}{1}",
["typ"] = "cislo" },
["tex"] = "676",
["tex_float"] = "676",
["x"] = 676 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.28",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{-5})^2",
["typ"] = "mocnina" },
["c2"] = {
["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"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-6 - 7)^2",
["typ"] = "mocnina" },
["render"] = "(\\frac{10}{-5})^2 \\cdot (-6 - 7)^2",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.29, bodu=24, $$\frac{10}{9} \cdot (8 + 6)=\textcolor{white}{15\frac{5}{9}}$$return {
["body"] = 24,
["id"] = "7cwIlO_0629_2254",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = 15.555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 140,
["jmenovatel"] = 9 },
["render"] = "\\frac{140}{9}",
["typ"] = "cislo" },
["tex"] = "15\\frac{5}{9}",
["x"] = 15,
["y"] = 5,
["z"] = 9 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.29",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{10}{9}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "8 + 6",
["typ"] = "plus" },
["render"] = "(8 + 6)",
["typ"] = "zavorka" },
["render"] = "\\frac{10}{9} \\cdot (8 + 6)",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.3, bodu=41, $$8 + 5 - (8 - (-13 + 4\frac{1}{4}))=\textcolor{white}{-3{,}75}$$return {
["body"] = 41,
["id"] = "NKj0e0_0629_2254",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = -3.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 4 },
["render"] = "\\frac{-15}{4}",
["typ"] = "cislo" },
["tex"] = "-3\\frac{3}{4}",
["tex_float"] = "-3{,}75",
["x"] = -3,
["y"] = 3,
["z"] = 4 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "8 + 5",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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 + 4\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(-13 + 4\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "8 - (-13 + 4\\frac{1}{4})",
["typ"] = "minus" },
["render"] = "(8 - (-13 + 4\\frac{1}{4}))",
["typ"] = "zavorka" },
["render"] = "8 + 5 - (8 - (-13 + 4\\frac{1}{4}))",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.31, bodu=14, $$(-8 + 6 + (-8))^2 - 9 \cdot 15=\textcolor{white}{-35}$$return {
["body"] = 14,
["id"] = "SR9Ql8_0629_2254",
["obtiznost"] = 0.3504,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -35,
["jmenovatel"] = 1 },
["render"] = "\\frac{-35}{1}",
["typ"] = "cislo" },
["tex"] = "-35",
["tex_float"] = "-35",
["x"] = -35 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.31",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-8 + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-8 + 6 + (-8)",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 + 6 + (-8))^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "9 \\cdot 15",
["typ"] = "krat" },
["render"] = "(-8 + 6 + (-8))^2 - 9 \\cdot 15",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.32, bodu=64, $$4\frac{1}{5} - 7 - 2\frac{2}{7} \cdot 11=\textcolor{white}{-27\frac{33}{35}}$$return {
["body"] = 64,
["id"] = "kmxtki_0629_2254",
["obtiznost"] = 0.72,
["reseni"] = {
["float"] = -27.942857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -978,
["jmenovatel"] = 35 },
["render"] = "\\frac{-978}{35}",
["typ"] = "cislo" },
["tex"] = "-27\\frac{33}{35}",
["x"] = -27,
["y"] = 33,
["z"] = 35 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{5} - 7",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{7} \\cdot 11",
["typ"] = "krat" },
["render"] = "4\\frac{1}{5} - 7 - 2\\frac{2}{7} \\cdot 11",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.33, bodu=27, $$9 \cdot \frac{-10}{-11} \cdot -10=\textcolor{white}{-81\frac{9}{11}}$$return {
["body"] = 27,
["id"] = "amiqjV_0629_2254",
["obtiznost"] = 0.33,
["reseni"] = {
["float"] = -81.818181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = -900,
["jmenovatel"] = 11 },
["render"] = "\\frac{-900}{11}",
["typ"] = "cislo" },
["tex"] = "-81\\frac{9}{11}",
["x"] = -81,
["y"] = 9,
["z"] = 11 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.33",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{-11} \\cdot -10",
["typ"] = "krat" },
["render"] = "9 \\cdot \\frac{-10}{-11} \\cdot -10",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.34, bodu=45, $$\frac{\frac{-6}{9 \cdot 1\frac{2}{8}}}{10}=\textcolor{white}{-\frac{4}{75}}$$return {
["body"] = 45,
["id"] = "9WpcUa_0629_2254",
["obtiznost"] = 0.54,
["reseni"] = {
["float"] = -0.053333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 75 },
["render"] = "\\frac{-8}{150}",
["typ"] = "cislo" },
["tex"] = "-\\frac{4}{75}",
["y"] = -4,
["z"] = 75 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.34",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "9 \\cdot 1\\frac{2}{8}",
["typ"] = "krat" },
["render"] = "\\frac{-6}{9 \\cdot 1\\frac{2}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-6}{9 \\cdot 1\\frac{2}{8}}}{10}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.35, bodu=28, $$5 - (9 - \frac{-10}{14})=\textcolor{white}{-4\frac{5}{7}}$$return {
["body"] = 28,
["id"] = "trL0Ye_0629_2254",
["obtiznost"] = 0.35,
["reseni"] = {
["float"] = -4.7142857142857,
["objekt"] = {
["hodnota"] = {
["citatel"] = -33,
["jmenovatel"] = 7 },
["render"] = "\\frac{-33}{7}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{5}{7}",
["x"] = -4,
["y"] = 5,
["z"] = 7 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{14}",
["typ"] = "lomeno" },
["render"] = "9 - \\frac{-10}{14}",
["typ"] = "minus" },
["render"] = "(9 - \\frac{-10}{14})",
["typ"] = "zavorka" },
["render"] = "5 - (9 - \\frac{-10}{14})",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.36, bodu=49, $$\frac{(\frac{-9}{-6})^3}{-9 + 4\frac{4}{8}}=\textcolor{white}{-0{,}75}$$return {
["body"] = 49,
["id"] = "Z1m9l2_0629_2254",
["obtiznost"] = 0.574,
["reseni"] = {
["float"] = -0.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 4 },
["render"] = "\\frac{54}{-72}",
["typ"] = "cislo" },
["tex"] = "-\\frac{3}{4}",
["tex_float"] = "-0{,}75",
["y"] = -3,
["z"] = 4 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.36",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-6}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{-9}{-6})^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-9 + 4\\frac{4}{8}",
["typ"] = "plus" },
["render"] = "\\frac{(\\frac{-9}{-6})^3}{-9 + 4\\frac{4}{8}}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.37, bodu=48, $$1\frac{5}{7} + (-16) + 6 \cdot (9 + 12)=\textcolor{white}{111\frac{5}{7}}$$return {
["body"] = 48,
["id"] = "QXjycl_0629_2254",
["obtiznost"] = 0.57,
["reseni"] = {
["float"] = 111.71428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 782,
["jmenovatel"] = 7 },
["render"] = "\\frac{782}{7}",
["typ"] = "cislo" },
["tex"] = "111\\frac{5}{7}",
["x"] = 111,
["y"] = 5,
["z"] = 7 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{7} + (-16)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "9 + 12",
["typ"] = "plus" },
["render"] = "(9 + 12)",
["typ"] = "zavorka" },
["render"] = "6 \\cdot (9 + 12)",
["typ"] = "krat" },
["render"] = "1\\frac{5}{7} + (-16) + 6 \\cdot (9 + 12)",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.38, bodu=49, $$2\frac{1}{4} + (-6 - 12 + (-11) - 5)=\textcolor{white}{-31{,}75}$$return {
["body"] = 49,
["id"] = "dSHLzO_0629_2254",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -31.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -127,
["jmenovatel"] = 4 },
["render"] = "\\frac{-127}{4}",
["typ"] = "cislo" },
["tex"] = "-31\\frac{3}{4}",
["tex_float"] = "-31{,}75",
["x"] = -31,
["y"] = 3,
["z"] = 4 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.38",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-6 - 12",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-6 - 12 + (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-6 - 12 + (-11) - 5",
["typ"] = "minus" },
["render"] = "2\\frac{1}{4} + (-6 - 12 + (-11) - 5)",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.39, bodu=44, $$((\frac{12}{-9})^4 + (-10) - 7) \cdot -8=\textcolor{white}{110\frac{58}{81}}$$return {
["body"] = 44,
["id"] = "g33Frl_0629_2254",
["obtiznost"] = 0.5248,
["reseni"] = {
["float"] = 110.71604938272,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8968,
["jmenovatel"] = 81 },
["render"] = "\\frac{8968}{81}",
["typ"] = "cislo" },
["tex"] = "110\\frac{58}{81}",
["x"] = 110,
["y"] = 58,
["z"] = 81 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.39",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{12}{-9})^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{-9})^4 + (-10)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{-9})^4 + (-10) - 7",
["typ"] = "minus" },
["render"] = "((\\frac{12}{-9})^4 + (-10) - 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "((\\frac{12}{-9})^4 + (-10) - 7) \\cdot -8",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.4, bodu=87, $$11 \cdot \frac{4 - 10}{(\frac{5}{2\frac{2}{5}})^2}=\textcolor{white}{-15\frac{129}{625}}$$return {
["body"] = 87,
["id"] = "3ZfT4j_0629_2254",
["obtiznost"] = 0.9076,
["reseni"] = {
["float"] = -15.2064,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9504,
["jmenovatel"] = 625 },
["render"] = "\\frac{-9504}{625}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{129}{625}",
["x"] = -15,
["y"] = 129,
["z"] = 625 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4 - 10",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{2\\frac{2}{5}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{5}{2\\frac{2}{5}})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{4 - 10}{(\\frac{5}{2\\frac{2}{5}})^2}",
["typ"] = "lomeno" },
["render"] = "11 \\cdot \\frac{4 - 10}{(\\frac{5}{2\\frac{2}{5}})^2}",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.41, bodu=33, $$(10 - \frac{(6 - 6)^4}{4}) \cdot 6=\textcolor{white}{60}$$return {
["body"] = 33,
["id"] = "0UE5e8_0629_2254",
["obtiznost"] = 0.4104,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 60,
["jmenovatel"] = 1 },
["render"] = "\\frac{60}{1}",
["typ"] = "cislo" },
["tex"] = "60",
["x"] = 60 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.41",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "6 - 6",
["typ"] = "minus" },
["mocnitel"] = 4,
["render"] = "(6 - 6)^4",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{(6 - 6)^4}{4}",
["typ"] = "lomeno" },
["render"] = "10 - \\frac{(6 - 6)^4}{4}",
["typ"] = "minus" },
["render"] = "(10 - \\frac{(6 - 6)^4}{4})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(10 - \\frac{(6 - 6)^4}{4}) \\cdot 6",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.42, bodu=53, $$12 \cdot \frac{9 - (-17)}{3 - 1\frac{3}{5}}=\textcolor{white}{222\frac{6}{7}}$$return {
["body"] = 53,
["id"] = "qVtest_0629_2254",
["obtiznost"] = 0.62,
["reseni"] = {
["float"] = 222.85714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1560,
["jmenovatel"] = 7 },
["render"] = "\\frac{1560}{7}",
["typ"] = "cislo" },
["tex"] = "222\\frac{6}{7}",
["x"] = 222,
["y"] = 6,
["z"] = 7 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "9 - (-17)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "3 - 1\\frac{3}{5}",
["typ"] = "minus" },
["render"] = "\\frac{9 - (-17)}{3 - 1\\frac{3}{5}}",
["typ"] = "lomeno" },
["render"] = "12 \\cdot \\frac{9 - (-17)}{3 - 1\\frac{3}{5}}",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.43, bodu=55, $$-9 \cdot (9 + 2\frac{2}{4} \cdot 7) - 16=\textcolor{white}{-254{,}5}$$return {
["body"] = 55,
["id"] = "jCYgdO_0629_2254",
["obtiznost"] = 0.63,
["reseni"] = {
["float"] = -254.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -509,
["jmenovatel"] = 2 },
["render"] = "\\frac{-509}{2}",
["typ"] = "cislo" },
["tex"] = "-254\\frac{1}{2}",
["tex_float"] = "-254{,}5",
["x"] = -254,
["y"] = 1,
["z"] = 2 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{4} \\cdot 7",
["typ"] = "krat" },
["render"] = "9 + 2\\frac{2}{4} \\cdot 7",
["typ"] = "plus" },
["render"] = "(9 + 2\\frac{2}{4} \\cdot 7)",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot (9 + 2\\frac{2}{4} \\cdot 7)",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-9 \\cdot (9 + 2\\frac{2}{4} \\cdot 7) - 16",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.44, bodu=45, $$14 \cdot (\frac{-5}{-4 \cdot 5})^4=\textcolor{white}{\frac{7}{128}}$$return {
["body"] = 45,
["id"] = "QPwQkK_0629_2254",
["obtiznost"] = 0.5428,
["reseni"] = {
["float"] = 0.0546875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 128 },
["render"] = "\\frac{14}{256}",
["typ"] = "cislo" },
["tex"] = "\\frac{7}{128}",
["y"] = 7,
["z"] = 128 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.44",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 5",
["typ"] = "krat" },
["render"] = "\\frac{-5}{-4 \\cdot 5}",
["typ"] = "lomeno" },
["mocnitel"] = 4,
["render"] = "(\\frac{-5}{-4 \\cdot 5})^4",
["typ"] = "mocnina" },
["render"] = "14 \\cdot (\\frac{-5}{-4 \\cdot 5})^4",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.45, bodu=80, $$-11 \cdot 3\frac{3}{6} \cdot (\frac{4\frac{5}{12}}{8} - (-12))=\textcolor{white}{-483\frac{49}{192}}$$return {
["body"] = 80,
["id"] = "HWe8PT_0629_2254",
["obtiznost"] = 0.85,
["reseni"] = {
["float"] = -483.25520833333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -92785,
["jmenovatel"] = 192 },
["render"] = "\\frac{-92785}{192}",
["typ"] = "cislo" },
["tex"] = "-483\\frac{49}{192}",
["x"] = -483,
["y"] = 49,
["z"] = 192 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.45",
["zadani"] = {
["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"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{12}}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{12}}{8} - (-12)",
["typ"] = "minus" },
["render"] = "(\\frac{4\\frac{5}{12}}{8} - (-12))",
["typ"] = "zavorka" },
["render"] = "-11 \\cdot 3\\frac{3}{6} \\cdot (\\frac{4\\frac{5}{12}}{8} - (-12))",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.46, bodu=58, $$(5 - 3\frac{2}{9} \cdot 11 \cdot -7) \cdot 8=\textcolor{white}{2024\frac{8}{9}}$$return {
["body"] = 58,
["id"] = "rbmJSv_0629_2254",
["obtiznost"] = 0.66,
["reseni"] = {
["float"] = 2024.8888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 18224,
["jmenovatel"] = 9 },
["render"] = "\\frac{18224}{9}",
["typ"] = "cislo" },
["tex"] = "2024\\frac{8}{9}",
["x"] = 2024,
["y"] = 8,
["z"] = 9 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.46",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{9} \\cdot 11 \\cdot -7",
["typ"] = "krat" },
["render"] = "5 - 3\\frac{2}{9} \\cdot 11 \\cdot -7",
["typ"] = "minus" },
["render"] = "(5 - 3\\frac{2}{9} \\cdot 11 \\cdot -7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "(5 - 3\\frac{2}{9} \\cdot 11 \\cdot -7) \\cdot 8",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.47, bodu=59, $$1\frac{4}{10} \cdot (16 \cdot -11 + \frac{9}{8})=\textcolor{white}{-244{,}825}$$return {
["body"] = 59,
["id"] = "lqFGWJ_0629_2254",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -244.825,
["objekt"] = {
["hodnota"] = {
["citatel"] = -9793,
["jmenovatel"] = 40 },
["render"] = "\\frac{-9793}{40}",
["typ"] = "cislo" },
["tex"] = "-244\\frac{33}{40}",
["tex_float"] = "-244{,}825",
["x"] = -244,
["y"] = 33,
["z"] = 40 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.47",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "16 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{9}{8}",
["typ"] = "lomeno" },
["render"] = "16 \\cdot -11 + \\frac{9}{8}",
["typ"] = "plus" },
["render"] = "(16 \\cdot -11 + \\frac{9}{8})",
["typ"] = "zavorka" },
["render"] = "1\\frac{4}{10} \\cdot (16 \\cdot -11 + \\frac{9}{8})",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.48, bodu=60, $$(10 + (-11))^3 \cdot (3\frac{5}{7} - (-10 \cdot -10))=\textcolor{white}{96\frac{2}{7}}$$return {
["body"] = 60,
["id"] = "RQ6T2I_0629_2254",
["obtiznost"] = 0.6808,
["reseni"] = {
["float"] = 96.285714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = 674,
["jmenovatel"] = 7 },
["render"] = "\\frac{674}{7}",
["typ"] = "cislo" },
["tex"] = "96\\frac{2}{7}",
["x"] = 96,
["y"] = 2,
["z"] = 7 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.48",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "10 + (-11)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(10 + (-11))^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -10",
["typ"] = "krat" },
["render"] = "3\\frac{5}{7} - (-10 \\cdot -10)",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{7} - (-10 \\cdot -10))",
["typ"] = "zavorka" },
["render"] = "(10 + (-11))^3 \\cdot (3\\frac{5}{7} - (-10 \\cdot -10))",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.49, bodu=49, $$\frac{-11}{(\frac{-11}{-10})^2 + 6} + (-14)=\textcolor{white}{-15\frac{379}{721}}$$return {
["body"] = 49,
["id"] = "zwbx9X_0629_2254",
["obtiznost"] = 0.5784,
["reseni"] = {
["float"] = -15.525658807212,
["objekt"] = {
["hodnota"] = {
["citatel"] = -11194,
["jmenovatel"] = 721 },
["render"] = "\\frac{-11194}{721}",
["typ"] = "cislo" },
["tex"] = "-15\\frac{379}{721}",
["x"] = -15,
["y"] = 379,
["z"] = 721 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{-10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-11}{-10})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(\\frac{-11}{-10})^2 + 6",
["typ"] = "plus" },
["render"] = "\\frac{-11}{(\\frac{-11}{-10})^2 + 6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{-11}{(\\frac{-11}{-10})^2 + 6} + (-14)",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.5, bodu=111, $$((1\frac{3}{5} + 4\frac{2}{5} + 11 - 10) \cdot \frac{9}{12})^2=\textcolor{white}{27\frac{9}{16}}$$return {
["body"] = 111,
["id"] = "qS00RA_0629_2254",
["obtiznost"] = 1.0828,
["reseni"] = {
["float"] = 27.5625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 441,
["jmenovatel"] = 16 },
["render"] = "\\frac{441}{16}",
["typ"] = "cislo" },
["tex"] = "27\\frac{9}{16}",
["x"] = 27,
["y"] = 9,
["z"] = 16 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.5",
["zadani"] = {
["c"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} + 11",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{5} + 11 - 10",
["typ"] = "minus" },
["render"] = "1\\frac{3}{5} + 4\\frac{2}{5} + 11 - 10",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{5} + 4\\frac{2}{5} + 11 - 10)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{9}{12}",
["typ"] = "lomeno" },
["render"] = "(1\\frac{3}{5} + 4\\frac{2}{5} + 11 - 10) \\cdot \\frac{9}{12}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "((1\\frac{3}{5} + 4\\frac{2}{5} + 11 - 10) \\cdot \\frac{9}{12})^2",
["typ"] = "mocnina" } }
seed: TaNNjeFB9PGYthcpIdRV_0.51, bodu=88, $$\frac{4\frac{1}{3}}{-11 + \frac{2\frac{3}{9} + (-14)}{6}}=\textcolor{white}{-\frac{78}{233}}$$return {
["body"] = 88,
["id"] = "m5pVeL_0629_2254",
["obtiznost"] = 0.91,
["reseni"] = {
["float"] = -0.33476394849785,
["objekt"] = {
["hodnota"] = {
["citatel"] = -78,
["jmenovatel"] = 233 },
["render"] = "\\frac{234}{-699}",
["typ"] = "cislo" },
["tex"] = "-\\frac{78}{233}",
["y"] = -78,
["z"] = 233 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{9} + (-14)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{9} + (-14)}{6}",
["typ"] = "lomeno" },
["render"] = "-11 + \\frac{2\\frac{3}{9} + (-14)}{6}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{1}{3}}{-11 + \\frac{2\\frac{3}{9} + (-14)}{6}}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.52, bodu=161, $$\frac{\frac{2\frac{1}{4}}{(-7 \cdot 1\frac{2}{7})^3}}{3\frac{3}{10}}=\textcolor{white}{-\frac{5}{5346}}$$return {
["body"] = 161,
["id"] = "jUT7xf_0629_2254",
["obtiznost"] = 1.412,
["reseni"] = {
["float"] = -0.00093527871305649,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 5346 },
["render"] = "\\frac{-10}{10692}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{5346}",
["y"] = -5,
["z"] = 5346 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.52",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-7 \\cdot 1\\frac{2}{7}",
["typ"] = "krat" },
["mocnitel"] = 3,
["render"] = "(-7 \\cdot 1\\frac{2}{7})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{2\\frac{1}{4}}{(-7 \\cdot 1\\frac{2}{7})^3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 10 },
["render"] = "3\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{1}{4}}{(-7 \\cdot 1\\frac{2}{7})^3}}{3\\frac{3}{10}}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.53, bodu=66, $$\frac{11}{\frac{5}{2\frac{4}{12}} - (14 - (-12))}=\textcolor{white}{-\frac{77}{167}}$$return {
["body"] = 66,
["id"] = "FKZPPG_0629_2254",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = -0.46107784431138,
["objekt"] = {
["hodnota"] = {
["citatel"] = -77,
["jmenovatel"] = 167 },
["render"] = "\\frac{77}{-167}",
["typ"] = "cislo" },
["tex"] = "-\\frac{77}{167}",
["y"] = -77,
["z"] = 167 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.53",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{5}{2\\frac{4}{12}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "14 - (-12)",
["typ"] = "minus" },
["render"] = "(14 - (-12))",
["typ"] = "zavorka" },
["render"] = "\\frac{5}{2\\frac{4}{12}} - (14 - (-12))",
["typ"] = "minus" },
["render"] = "\\frac{11}{\\frac{5}{2\\frac{4}{12}} - (14 - (-12))}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.54, bodu=67, $$\frac{\frac{10}{-8 - 4}}{\frac{-14}{3\frac{5}{11}}}=\textcolor{white}{\frac{95}{462}}$$return {
["body"] = 67,
["id"] = "LDdo7A_0629_2254",
["obtiznost"] = 0.74,
["reseni"] = {
["float"] = 0.20562770562771,
["objekt"] = {
["hodnota"] = {
["citatel"] = 95,
["jmenovatel"] = 462 },
["render"] = "\\frac{-95}{-462}",
["typ"] = "cislo" },
["tex"] = "\\frac{95}{462}",
["y"] = 95,
["z"] = 462 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-8 - 4",
["typ"] = "minus" },
["render"] = "\\frac{10}{-8 - 4}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{3\\frac{5}{11}}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{10}{-8 - 4}}{\\frac{-14}{3\\frac{5}{11}}}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.55, bodu=93, $$2\frac{4}{9} + (9 - \frac{11}{-11}) \cdot 1\frac{1}{3}=\textcolor{white}{15\frac{7}{9}}$$return {
["body"] = 93,
["id"] = "b7Y6LL_0629_2254",
["obtiznost"] = 0.95,
["reseni"] = {
["float"] = 15.777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 142,
["jmenovatel"] = 9 },
["render"] = "\\frac{426}{27}",
["typ"] = "cislo" },
["tex"] = "15\\frac{7}{9}",
["x"] = 15,
["y"] = 7,
["z"] = 9 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.55",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-11}",
["typ"] = "lomeno" },
["render"] = "9 - \\frac{11}{-11}",
["typ"] = "minus" },
["render"] = "(9 - \\frac{11}{-11})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "(9 - \\frac{11}{-11}) \\cdot 1\\frac{1}{3}",
["typ"] = "krat" },
["render"] = "2\\frac{4}{9} + (9 - \\frac{11}{-11}) \\cdot 1\\frac{1}{3}",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.56, bodu=94, $$\frac{11 \cdot 1\frac{1}{7} \cdot 5}{4\frac{5}{10}}=\textcolor{white}{13\frac{61}{63}}$$return {
["body"] = 94,
["id"] = "74qklS_0629_2254",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 13.968253968254,
["objekt"] = {
["hodnota"] = {
["citatel"] = 880,
["jmenovatel"] = 63 },
["render"] = "\\frac{880}{63}",
["typ"] = "cislo" },
["tex"] = "13\\frac{61}{63}",
["x"] = 13,
["y"] = 61,
["z"] = 63 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{1}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "11 \\cdot 1\\frac{1}{7} \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot 1\\frac{1}{7} \\cdot 5}{4\\frac{5}{10}}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.57, bodu=123, $$-12 - \frac{\frac{2\frac{3}{10}}{1\frac{1}{5} - 9}}{1\frac{4}{10}}=\textcolor{white}{-11\frac{431}{546}}$$return {
["body"] = 123,
["id"] = "RjKjEm_0629_2254",
["obtiznost"] = 1.17,
["reseni"] = {
["float"] = -11.789377289377,
["objekt"] = {
["hodnota"] = {
["citatel"] = -6437,
["jmenovatel"] = 546 },
["render"] = "\\frac{-6437}{546}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{431}{546}",
["x"] = -11,
["y"] = 431,
["z"] = 546 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.57",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 5 },
["render"] = "1\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{5} - 9",
["typ"] = "minus" },
["render"] = "\\frac{2\\frac{3}{10}}{1\\frac{1}{5} - 9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{3}{10}}{1\\frac{1}{5} - 9}}{1\\frac{4}{10}}",
["typ"] = "lomeno" },
["render"] = "-12 - \\frac{\\frac{2\\frac{3}{10}}{1\\frac{1}{5} - 9}}{1\\frac{4}{10}}",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.58, bodu=24, $$-7 \cdot -5 \cdot 7 \cdot 7=\textcolor{white}{1715}$$return {
["body"] = 24,
["id"] = "wwiLPl_0629_2254",
["obtiznost"] = 0.58,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1715,
["jmenovatel"] = 1 },
["render"] = "\\frac{1715}{1}",
["typ"] = "cislo" },
["tex"] = "1715",
["tex_float"] = "1715",
["x"] = 1715 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "-7 \\cdot -5",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot 7",
["typ"] = "krat" },
["render"] = "-7 \\cdot -5 \\cdot 7 \\cdot 7",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.59, bodu=223, $$((14 + 1\frac{4}{8})^2 - (2\frac{5}{9} + 3\frac{1}{9} + 4\frac{1}{4})) \cdot -7=\textcolor{white}{-1612\frac{1}{3}}$$return {
["body"] = 223,
["id"] = "Hhd5Rs_0629_2254",
["obtiznost"] = 1.776,
["reseni"] = {
["float"] = -1612.3333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4837,
["jmenovatel"] = 3 },
["render"] = "\\frac{-4837}{3}",
["typ"] = "cislo" },
["tex"] = "-1612\\frac{1}{3}",
["x"] = -1612,
["y"] = 1,
["z"] = 3 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.59",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "14 + 1\\frac{4}{8}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(14 + 1\\frac{4}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{9} + 4\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "2\\frac{5}{9} + 3\\frac{1}{9} + 4\\frac{1}{4}",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{9} + 3\\frac{1}{9} + 4\\frac{1}{4})",
["typ"] = "zavorka" },
["render"] = "(14 + 1\\frac{4}{8})^2 - (2\\frac{5}{9} + 3\\frac{1}{9} + 4\\frac{1}{4})",
["typ"] = "minus" },
["render"] = "((14 + 1\\frac{4}{8})^2 - (2\\frac{5}{9} + 3\\frac{1}{9} + 4\\frac{1}{4}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "((14 + 1\\frac{4}{8})^2 - (2\\frac{5}{9} + 3\\frac{1}{9} + 4\\frac{1}{4})) \\cdot -7",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.6, bodu=25, $$(10 - 16) \cdot 10 - 12 \cdot -16=\textcolor{white}{132}$$return {
["body"] = 25,
["id"] = "H2VTF1_0629_2254",
["obtiznost"] = 0.6,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 132,
["jmenovatel"] = 1 },
["render"] = "\\frac{132}{1}",
["typ"] = "cislo" },
["tex"] = "132",
["tex_float"] = "132",
["x"] = 132 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "10 - 16",
["typ"] = "minus" },
["render"] = "(10 - 16)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "(10 - 16) \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "12 \\cdot -16",
["typ"] = "krat" },
["render"] = "(10 - 16) \\cdot 10 - 12 \\cdot -16",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.61, bodu=100, $$((-7 + 18)^2 - (\frac{14}{-16})^3) \cdot (11 + 9)=\textcolor{white}{2433\frac{51}{128}}$$return {
["body"] = 100,
["id"] = "L86xU9_0629_2254",
["obtiznost"] = 1.0008,
["reseni"] = {
["float"] = 2433.3984375,
["objekt"] = {
["hodnota"] = {
["citatel"] = 311475,
["jmenovatel"] = 128 },
["render"] = "\\frac{1245900}{512}",
["typ"] = "cislo" },
["tex"] = "2433\\frac{51}{128}",
["x"] = 2433,
["y"] = 51,
["z"] = 128 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.61",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["render"] = "-7 + 18",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-7 + 18)^2",
["typ"] = "mocnina" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{14}{-16}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{14}{-16})^3",
["typ"] = "mocnina" },
["render"] = "(-7 + 18)^2 - (\\frac{14}{-16})^3",
["typ"] = "minus" },
["render"] = "((-7 + 18)^2 - (\\frac{14}{-16})^3)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["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" },
["render"] = "(11 + 9)",
["typ"] = "zavorka" },
["render"] = "((-7 + 18)^2 - (\\frac{14}{-16})^3) \\cdot (11 + 9)",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.62, bodu=76, $$(2 + \frac{10}{-18} - 3\frac{5}{10}) \cdot -11 \cdot -16=\textcolor{white}{-361\frac{7}{9}}$$return {
["body"] = 76,
["id"] = "N6qUuz_0629_2254",
["obtiznost"] = 0.82,
["reseni"] = {
["float"] = -361.77777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3256,
["jmenovatel"] = 9 },
["render"] = "\\frac{-6512}{18}",
["typ"] = "cislo" },
["tex"] = "-361\\frac{7}{9}",
["x"] = -361,
["y"] = 7,
["z"] = 9 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.62",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-18}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{10}{-18} - 3\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "2 + \\frac{10}{-18} - 3\\frac{5}{10}",
["typ"] = "plus" },
["render"] = "(2 + \\frac{10}{-18} - 3\\frac{5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "-11 \\cdot -16",
["typ"] = "krat" },
["render"] = "(2 + \\frac{10}{-18} - 3\\frac{5}{10}) \\cdot -11 \\cdot -16",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.63, bodu=132, $$-9 \cdot 10 - (\frac{3\frac{5}{9}}{2\frac{4}{10}} - 2\frac{4}{7})=\textcolor{white}{-88\frac{172}{189}}$$return {
["body"] = 132,
["id"] = "56bGSC_0629_2254",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = -88.910052910053,
["objekt"] = {
["hodnota"] = {
["citatel"] = -16804,
["jmenovatel"] = 189 },
["render"] = "\\frac{-16804}{189}",
["typ"] = "cislo" },
["tex"] = "-88\\frac{172}{189}",
["x"] = -88,
["y"] = 172,
["z"] = 189 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.63",
["zadani"] = {
["c1"] = {
["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" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{9}}{2\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{9}}{2\\frac{4}{10}} - 2\\frac{4}{7}",
["typ"] = "minus" },
["render"] = "(\\frac{3\\frac{5}{9}}{2\\frac{4}{10}} - 2\\frac{4}{7})",
["typ"] = "zavorka" },
["render"] = "-9 \\cdot 10 - (\\frac{3\\frac{5}{9}}{2\\frac{4}{10}} - 2\\frac{4}{7})",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.64, bodu=139, $$(12 + (-5))^3 - \frac{-8}{(4\frac{1}{4} - 11)^2 + (-13)}=\textcolor{white}{343\frac{128}{521}}$$return {
["body"] = 139,
["id"] = "eEkSpx_0629_2254",
["obtiznost"] = 1.2756,
["reseni"] = {
["float"] = 343.24568138196,
["objekt"] = {
["hodnota"] = {
["citatel"] = 178831,
["jmenovatel"] = 521 },
["render"] = "\\frac{178831}{521}",
["typ"] = "cislo" },
["tex"] = "343\\frac{128}{521}",
["x"] = 343,
["y"] = 128,
["z"] = 521 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.64",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "12 + (-5)",
["typ"] = "plus" },
["mocnitel"] = 3,
["render"] = "(12 + (-5))^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} - 11",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(4\\frac{1}{4} - 11)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(4\\frac{1}{4} - 11)^2 + (-13)",
["typ"] = "plus" },
["render"] = "\\frac{-8}{(4\\frac{1}{4} - 11)^2 + (-13)}",
["typ"] = "lomeno" },
["render"] = "(12 + (-5))^3 - \\frac{-8}{(4\\frac{1}{4} - 11)^2 + (-13)}",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.65, bodu=135, $$7 \cdot -18 \cdot (2\frac{5}{10} - 15) \cdot (3\frac{5}{7} + 4\frac{1}{3})=\textcolor{white}{12675}$$return {
["body"] = 135,
["id"] = "1LRjLf_0629_2254",
["obtiznost"] = 1.25,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 12675,
["jmenovatel"] = 1 },
["render"] = "\\frac{532350}{42}",
["typ"] = "cislo" },
["tex"] = "12675",
["tex_float"] = "12675",
["x"] = 12675 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["render"] = "7 \\cdot -18",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} - 15",
["typ"] = "minus" },
["render"] = "(2\\frac{5}{10} - 15)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{7} + 4\\frac{1}{3}",
["typ"] = "plus" },
["render"] = "(3\\frac{5}{7} + 4\\frac{1}{3})",
["typ"] = "zavorka" },
["render"] = "(2\\frac{5}{10} - 15) \\cdot (3\\frac{5}{7} + 4\\frac{1}{3})",
["typ"] = "krat" },
["render"] = "7 \\cdot -18 \\cdot (2\\frac{5}{10} - 15) \\cdot (3\\frac{5}{7} + 4\\frac{1}{3})",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.66, bodu=108, $$(3\frac{3}{8} - 13) \cdot 1\frac{2}{6} \cdot 15 \cdot 15=\textcolor{white}{-2887{,}5}$$return {
["body"] = 108,
["id"] = "B8pTef_0629_2254",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = -2887.5,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5775,
["jmenovatel"] = 2 },
["render"] = "\\frac{-23100}{8}",
["typ"] = "cislo" },
["tex"] = "-2887\\frac{1}{2}",
["tex_float"] = "-2887{,}5",
["x"] = -2887,
["y"] = 1,
["z"] = 2 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.66",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} - 13",
["typ"] = "minus" },
["render"] = "(3\\frac{3}{8} - 13)",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{6} \\cdot 15 \\cdot 15",
["typ"] = "krat" },
["render"] = "(3\\frac{3}{8} - 13) \\cdot 1\\frac{2}{6} \\cdot 15 \\cdot 15",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.67, bodu=170, $$\frac{\frac{1\frac{1}{8}}{-6 - 3\frac{3}{8} \cdot 2\frac{4}{11}}}{-9 + 1\frac{2}{7}}=\textcolor{white}{\frac{77}{7380}}$$return {
["body"] = 170,
["id"] = "GqJycd_0629_2254",
["obtiznost"] = 1.47,
["reseni"] = {
["float"] = 0.010433604336043,
["objekt"] = {
["hodnota"] = {
["citatel"] = 77,
["jmenovatel"] = 7380 },
["render"] = "\\frac{-231}{-22140}",
["typ"] = "cislo" },
["tex"] = "\\frac{77}{7380}",
["y"] = 77,
["z"] = 7380 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["render"] = "3\\frac{3}{8} \\cdot 2\\frac{4}{11}",
["typ"] = "krat" },
["render"] = "-6 - 3\\frac{3}{8} \\cdot 2\\frac{4}{11}",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{1}{8}}{-6 - 3\\frac{3}{8} \\cdot 2\\frac{4}{11}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-9 + 1\\frac{2}{7}",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{1\\frac{1}{8}}{-6 - 3\\frac{3}{8} \\cdot 2\\frac{4}{11}}}{-9 + 1\\frac{2}{7}}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.68, bodu=111, $$\frac{4\frac{3}{6}}{11} + \frac{4\frac{4}{4}}{-9 \cdot 1\frac{1}{6}}=\textcolor{white}{-\frac{31}{462}}$$return {
["body"] = 111,
["id"] = "GpugfX_0629_2254",
["obtiznost"] = 1.08,
["reseni"] = {
["float"] = -0.067099567099567,
["objekt"] = {
["hodnota"] = {
["citatel"] = -31,
["jmenovatel"] = 462 },
["render"] = "\\frac{-31}{462}",
["typ"] = "cislo" },
["tex"] = "-\\frac{31}{462}",
["y"] = -31,
["z"] = 462 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.68",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{6}}{11}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "4\\frac{4}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 1\\frac{1}{6}",
["typ"] = "krat" },
["render"] = "\\frac{4\\frac{4}{4}}{-9 \\cdot 1\\frac{1}{6}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{3}{6}}{11} + \\frac{4\\frac{4}{4}}{-9 \\cdot 1\\frac{1}{6}}",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.69, bodu=115, $$(\frac{\frac{1\frac{2}{6}}{\frac{-5}{4\frac{3}{8} \cdot -15}}}{-5})^2=\textcolor{white}{12{,}25}$$return {
["body"] = 115,
["id"] = "Sy39TO_0629_2254",
["obtiznost"] = 1.1112,
["reseni"] = {
["float"] = 12.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 4 },
["render"] = "\\frac{49}{4}",
["typ"] = "cislo" },
["tex"] = "12\\frac{1}{4}",
["tex_float"] = "12{,}25",
["x"] = 12,
["y"] = 1,
["z"] = 4 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.69",
["zadani"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} \\cdot -15",
["typ"] = "krat" },
["render"] = "\\frac{-5}{4\\frac{3}{8} \\cdot -15}",
["typ"] = "lomeno" },
["render"] = "\\frac{1\\frac{2}{6}}{\\frac{-5}{4\\frac{3}{8} \\cdot -15}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{1\\frac{2}{6}}{\\frac{-5}{4\\frac{3}{8} \\cdot -15}}}{-5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{\\frac{1\\frac{2}{6}}{\\frac{-5}{4\\frac{3}{8} \\cdot -15}}}{-5})^2",
["typ"] = "mocnina" } }
seed: TaNNjeFB9PGYthcpIdRV_0.7, bodu=143, $$\frac{15}{4\frac{2}{5}} - 1\frac{1}{3} + (-19 - 14) + 1\frac{5}{11}=\textcolor{white}{-29\frac{31}{66}}$$return {
["body"] = 143,
["id"] = "a6YUi6_0629_2254",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -29.469696969697,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1945,
["jmenovatel"] = 66 },
["render"] = "\\frac{-21395}{726}",
["typ"] = "cislo" },
["tex"] = "-29\\frac{31}{66}",
["x"] = -29,
["y"] = 31,
["z"] = 66 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{4\\frac{2}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{4\\frac{2}{5}} - 1\\frac{1}{3}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "-19 - 14",
["typ"] = "minus" },
["render"] = "\\frac{15}{4\\frac{2}{5}} - 1\\frac{1}{3} + (-19 - 14)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 11 },
["render"] = "1\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "\\frac{15}{4\\frac{2}{5}} - 1\\frac{1}{3} + (-19 - 14) + 1\\frac{5}{11}",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.71, bodu=109, $$2\frac{4}{10} + (-10 + (-6)) + (-15 - (\frac{(-15 + 8)^2}{-14})^3)=\textcolor{white}{14{,}275}$$return {
["body"] = 109,
["id"] = "xbJJff_0629_2254",
["obtiznost"] = 1.0704,
["reseni"] = {
["float"] = 14.275,
["objekt"] = {
["hodnota"] = {
["citatel"] = 571,
["jmenovatel"] = 40 },
["render"] = "\\frac{571}{40}",
["typ"] = "cislo" },
["tex"] = "14\\frac{11}{40}",
["tex_float"] = "14{,}275",
["x"] = 14,
["y"] = 11,
["z"] = 40 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-10 + (-6)",
["typ"] = "plus" },
["render"] = "2\\frac{4}{10} + (-10 + (-6))",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-15 + 8",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-15 + 8)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "\\frac{(-15 + 8)^2}{-14}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{(-15 + 8)^2}{-14})^3",
["typ"] = "mocnina" },
["render"] = "-15 - (\\frac{(-15 + 8)^2}{-14})^3",
["typ"] = "minus" },
["render"] = "2\\frac{4}{10} + (-10 + (-6)) + (-15 - (\\frac{(-15 + 8)^2}{-14})^3)",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.72, bodu=178, $$(\frac{1\frac{2}{5} + 1\frac{1}{2}}{1\frac{4}{7}} - 11) \cdot (-14 + 4\frac{5}{13})=\textcolor{white}{88\frac{7}{286}}$$return {
["body"] = 178,
["id"] = "yFISe8_0629_2254",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = 88.024475524476,
["objekt"] = {
["hodnota"] = {
["citatel"] = 25175,
["jmenovatel"] = 286 },
["render"] = "\\frac{125875}{1430}",
["typ"] = "cislo" },
["tex"] = "88\\frac{7}{286}",
["x"] = 88,
["y"] = 7,
["z"] = 286 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.72",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{1}{2}",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{5} + 1\\frac{1}{2}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{5} + 1\\frac{1}{2}}{1\\frac{4}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{5} + 1\\frac{1}{2}}{1\\frac{4}{7}} - 11",
["typ"] = "minus" },
["render"] = "(\\frac{1\\frac{2}{5} + 1\\frac{1}{2}}{1\\frac{4}{7}} - 11)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 57,
["jmenovatel"] = 13 },
["render"] = "4\\frac{5}{13}",
["typ"] = "cislo" },
["render"] = "-14 + 4\\frac{5}{13}",
["typ"] = "plus" },
["render"] = "(-14 + 4\\frac{5}{13})",
["typ"] = "zavorka" },
["render"] = "(\\frac{1\\frac{2}{5} + 1\\frac{1}{2}}{1\\frac{4}{7}} - 11) \\cdot (-14 + 4\\frac{5}{13})",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.73, bodu=118, $$(1\frac{3}{9} + (-11) + 2\frac{3}{7}) \cdot \frac{-9}{-16} \cdot 11=\textcolor{white}{-44\frac{11}{14}}$$return {
["body"] = 118,
["id"] = "Y8rjFp_0629_2254",
["obtiznost"] = 1.13,
["reseni"] = {
["float"] = -44.785714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -627,
["jmenovatel"] = 14 },
["render"] = "\\frac{-15048}{336}",
["typ"] = "cislo" },
["tex"] = "-44\\frac{11}{14}",
["x"] = -44,
["y"] = 11,
["z"] = 14 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.73",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} + (-11)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{9} + (-11) + 2\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(1\\frac{3}{9} + (-11) + 2\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-16}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{-16} \\cdot 11",
["typ"] = "krat" },
["render"] = "(1\\frac{3}{9} + (-11) + 2\\frac{3}{7}) \\cdot \\frac{-9}{-16} \\cdot 11",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.74, bodu=149, $$\frac{\frac{\frac{3\frac{1}{7}}{12}}{1\frac{2}{7}}}{4\frac{2}{9} + 20}=\textcolor{white}{\frac{11}{1308}}$$return {
["body"] = 149,
["id"] = "GtSB2y_0629_2254",
["obtiznost"] = 1.34,
["reseni"] = {
["float"] = 0.0084097859327217,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1308 },
["render"] = "\\frac{99}{11772}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{1308}",
["y"] = 11,
["z"] = 1308 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.74",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 7 },
["render"] = "3\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{1}{7}}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 7 },
["render"] = "1\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3\\frac{1}{7}}{12}}{1\\frac{2}{7}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 9 },
["render"] = "4\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "4\\frac{2}{9} + 20",
["typ"] = "plus" },
["render"] = "\\frac{\\frac{\\frac{3\\frac{1}{7}}{12}}{1\\frac{2}{7}}}{4\\frac{2}{9} + 20}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.75, bodu=151, $$3\frac{4}{6} - \frac{3\frac{2}{7}}{\frac{11}{3\frac{2}{9}}} \cdot 10=\textcolor{white}{-5\frac{664}{693}}$$return {
["body"] = 151,
["id"] = "WnwZ3Y_0629_2254",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -5.958152958153,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4129,
["jmenovatel"] = 693 },
["render"] = "\\frac{-12387}{2079}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{664}{693}",
["x"] = -5,
["y"] = 664,
["z"] = 693 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.75",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 9 },
["render"] = "3\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{3\\frac{2}{9}}",
["typ"] = "lomeno" },
["render"] = "\\frac{3\\frac{2}{7}}{\\frac{11}{3\\frac{2}{9}}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{2}{7}}{\\frac{11}{3\\frac{2}{9}}} \\cdot 10",
["typ"] = "krat" },
["render"] = "3\\frac{4}{6} - \\frac{3\\frac{2}{7}}{\\frac{11}{3\\frac{2}{9}}} \\cdot 10",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.76, bodu=152, $$\frac{5 - 3\frac{5}{11}}{\frac{\frac{4\frac{3}{11}}{3\frac{5}{9}}}{6}}=\textcolor{white}{7\frac{101}{141}}$$return {
["body"] = 152,
["id"] = "YDvP4h_0629_2254",
["obtiznost"] = 1.36,
["reseni"] = {
["float"] = 7.7163120567376,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1088,
["jmenovatel"] = 141 },
["render"] = "\\frac{11968}{1551}",
["typ"] = "cislo" },
["tex"] = "7\\frac{101}{141}",
["x"] = 7,
["y"] = 101,
["z"] = 141 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "5 - 3\\frac{5}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 11 },
["render"] = "4\\frac{3}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{11}}{3\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{3}{11}}{3\\frac{5}{9}}}{6}",
["typ"] = "lomeno" },
["render"] = "\\frac{5 - 3\\frac{5}{11}}{\\frac{\\frac{4\\frac{3}{11}}{3\\frac{5}{9}}}{6}}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.77, bodu=187, $$\frac{4\frac{3}{5}}{-15} \cdot (4\frac{5}{10} + 4\frac{3}{5}) + (-10 + 4\frac{5}{12})=\textcolor{white}{-8{,}374}$$return {
["body"] = 187,
["id"] = "297rWq_0629_2254",
["obtiznost"] = 1.57,
["reseni"] = {
["float"] = -8.374,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4187,
["jmenovatel"] = 500 },
["render"] = "\\frac{-75366}{9000}",
["typ"] = "cislo" },
["tex"] = "-8\\frac{187}{500}",
["tex_float"] = "-8{,}374",
["x"] = -8,
["y"] = 187,
["z"] = 500 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{3}{5}}{-15}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{10} + 4\\frac{3}{5}",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{10} + 4\\frac{3}{5})",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{3}{5}}{-15} \\cdot (4\\frac{5}{10} + 4\\frac{3}{5})",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 53,
["jmenovatel"] = 12 },
["render"] = "4\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "-10 + 4\\frac{5}{12}",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{3}{5}}{-15} \\cdot (4\\frac{5}{10} + 4\\frac{3}{5}) + (-10 + 4\\frac{5}{12})",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.78, bodu=188, $$(2\frac{1}{9} + (-12) + 2\frac{5}{12} - (11 + (-10))) \cdot \frac{2\frac{3}{8}}{3\frac{1}{4}}=\textcolor{white}{-6\frac{179}{936}}$$return {
["body"] = 188,
["id"] = "IzR81M_0629_2254",
["obtiznost"] = 1.58,
["reseni"] = {
["float"] = -6.1912393162393,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5795,
["jmenovatel"] = 936 },
["render"] = "\\frac{-5795}{936}",
["typ"] = "cislo" },
["tex"] = "-6\\frac{179}{936}",
["x"] = -6,
["y"] = 179,
["z"] = 936 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.78",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 9 },
["render"] = "2\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{9} + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{9} + (-12) + 2\\frac{5}{12}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["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"] = "(11 + (-10))",
["typ"] = "zavorka" },
["render"] = "2\\frac{1}{9} + (-12) + 2\\frac{5}{12} - (11 + (-10))",
["typ"] = "minus" },
["render"] = "(2\\frac{1}{9} + (-12) + 2\\frac{5}{12} - (11 + (-10)))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{3}{8}}{3\\frac{1}{4}}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{1}{9} + (-12) + 2\\frac{5}{12} - (11 + (-10))) \\cdot \\frac{2\\frac{3}{8}}{3\\frac{1}{4}}",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.79, bodu=218, $$3\frac{4}{6} \cdot 4\frac{1}{6} - 3\frac{4}{8} - (8 + (-19) + 4\frac{3}{9})^2=\textcolor{white}{-32\frac{2}{3}}$$return {
["body"] = 218,
["id"] = "IyCA64_0629_2254",
["obtiznost"] = 1.7536,
["reseni"] = {
["float"] = -32.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -98,
["jmenovatel"] = 3 },
["render"] = "\\frac{-294}{9}",
["typ"] = "cislo" },
["tex"] = "-32\\frac{2}{3}",
["x"] = -32,
["y"] = 2,
["z"] = 3 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} \\cdot 4\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} \\cdot 4\\frac{1}{6} - 3\\frac{4}{8}",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "8 + (-19)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "8 + (-19) + 4\\frac{3}{9}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + (-19) + 4\\frac{3}{9})^2",
["typ"] = "mocnina" },
["render"] = "3\\frac{4}{6} \\cdot 4\\frac{1}{6} - 3\\frac{4}{8} - (8 + (-19) + 4\\frac{3}{9})^2",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.8, bodu=128, $$\frac{\frac{-10}{2\frac{1}{4}} \cdot -17 + 4\frac{4}{10} - 13}{8}=\textcolor{white}{8\frac{133}{360}}$$return {
["body"] = 128,
["id"] = "Kxap78_0629_2254",
["obtiznost"] = 1.2,
["reseni"] = {
["float"] = 8.3694444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3013,
["jmenovatel"] = 360 },
["render"] = "\\frac{3013}{360}",
["typ"] = "cislo" },
["tex"] = "8\\frac{133}{360}",
["x"] = 8,
["y"] = 133,
["z"] = 360 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{2\\frac{1}{4}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "\\frac{-10}{2\\frac{1}{4}} \\cdot -17",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{10} - 13",
["typ"] = "minus" },
["render"] = "\\frac{-10}{2\\frac{1}{4}} \\cdot -17 + 4\\frac{4}{10} - 13",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{-10}{2\\frac{1}{4}} \\cdot -17 + 4\\frac{4}{10} - 13}{8}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.81, bodu=129, $$\frac{17 \cdot 15}{2\frac{3}{8} \cdot 2\frac{3}{6}} - (9 + 5)=\textcolor{white}{28\frac{18}{19}}$$return {
["body"] = 129,
["id"] = "zYzfio_0629_2254",
["obtiznost"] = 1.21,
["reseni"] = {
["float"] = 28.947368421053,
["objekt"] = {
["hodnota"] = {
["citatel"] = 550,
["jmenovatel"] = 19 },
["render"] = "\\frac{550}{19}",
["typ"] = "cislo" },
["tex"] = "28\\frac{18}{19}",
["x"] = 28,
["y"] = 18,
["z"] = 19 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.81",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "17 \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 8 },
["render"] = "2\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{8} \\cdot 2\\frac{3}{6}",
["typ"] = "krat" },
["render"] = "\\frac{17 \\cdot 15}{2\\frac{3}{8} \\cdot 2\\frac{3}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "9 + 5",
["typ"] = "plus" },
["render"] = "(9 + 5)",
["typ"] = "zavorka" },
["render"] = "\\frac{17 \\cdot 15}{2\\frac{3}{8} \\cdot 2\\frac{3}{6}} - (9 + 5)",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.82, bodu=177, $$\frac{1\frac{4}{10} - (-16)}{-15 + 4\frac{5}{8} \cdot (16 - (-11))^2}=\textcolor{white}{\frac{232}{44755}}$$return {
["body"] = 177,
["id"] = "BEkzCH_0629_2254",
["obtiznost"] = 1.512,
["reseni"] = {
["float"] = 0.0051837783487878,
["objekt"] = {
["hodnota"] = {
["citatel"] = 232,
["jmenovatel"] = 44755 },
["render"] = "\\frac{696}{134265}",
["typ"] = "cislo" },
["tex"] = "\\frac{232}{44755}",
["y"] = 232,
["z"] = 44755 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.82",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} - (-16)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 8 },
["render"] = "4\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "16 - (-11)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(16 - (-11))^2",
["typ"] = "mocnina" },
["render"] = "4\\frac{5}{8} \\cdot (16 - (-11))^2",
["typ"] = "krat" },
["render"] = "-15 + 4\\frac{5}{8} \\cdot (16 - (-11))^2",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{4}{10} - (-16)}{-15 + 4\\frac{5}{8} \\cdot (16 - (-11))^2}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.83, bodu=39, $$19 \cdot -12 + (-16 - (-12 \cdot 16)) - 10=\textcolor{white}{-62}$$return {
["body"] = 39,
["id"] = "ag1dJk_0629_2254",
["obtiznost"] = 0.83,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -62,
["jmenovatel"] = 1 },
["render"] = "\\frac{-62}{1}",
["typ"] = "cislo" },
["tex"] = "-62",
["tex_float"] = "-62",
["x"] = -62 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "19 \\cdot -12",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 16",
["typ"] = "krat" },
["render"] = "-16 - (-12 \\cdot 16)",
["typ"] = "minus" },
["render"] = "19 \\cdot -12 + (-16 - (-12 \\cdot 16))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "19 \\cdot -12 + (-16 - (-12 \\cdot 16)) - 10",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.84, bodu=165, $$2\frac{3}{5} + \frac{4\frac{1}{2} \cdot 22 - 4\frac{3}{9}}{-11} \cdot 12=\textcolor{white}{-100\frac{37}{55}}$$return {
["body"] = 165,
["id"] = "5jQY0i_0629_2254",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = -100.67272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5537,
["jmenovatel"] = 55 },
["render"] = "\\frac{-5537}{55}",
["typ"] = "cislo" },
["tex"] = "-100\\frac{37}{55}",
["x"] = -100,
["y"] = 37,
["z"] = 55 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.84",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 5 },
["render"] = "2\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{1}{2}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{2} \\cdot 22",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{2} \\cdot 22 - 4\\frac{3}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{2} \\cdot 22 - 4\\frac{3}{9}}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{1}{2} \\cdot 22 - 4\\frac{3}{9}}{-11} \\cdot 12",
["typ"] = "krat" },
["render"] = "2\\frac{3}{5} + \\frac{4\\frac{1}{2} \\cdot 22 - 4\\frac{3}{9}}{-11} \\cdot 12",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.85, bodu=135, $$17 \cdot \frac{-12 - 11}{8 - (4\frac{3}{7} + 3\frac{4}{10})}=\textcolor{white}{-2280\frac{5}{6}}$$return {
["body"] = 135,
["id"] = "aSRNrs_0629_2254",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = -2280.8333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13685,
["jmenovatel"] = 6 },
["render"] = "\\frac{-13685}{6}",
["typ"] = "cislo" },
["tex"] = "-2280\\frac{5}{6}",
["x"] = -2280,
["y"] = 5,
["z"] = 6 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.85",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-12 - 11",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 7 },
["render"] = "4\\frac{3}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{7} + 3\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "(4\\frac{3}{7} + 3\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "8 - (4\\frac{3}{7} + 3\\frac{4}{10})",
["typ"] = "minus" },
["render"] = "\\frac{-12 - 11}{8 - (4\\frac{3}{7} + 3\\frac{4}{10})}",
["typ"] = "lomeno" },
["render"] = "17 \\cdot \\frac{-12 - 11}{8 - (4\\frac{3}{7} + 3\\frac{4}{10})}",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.86, bodu=137, $$\frac{4\frac{5}{10} \cdot (17 - (-16))}{2\frac{5}{13} - 8 - 10}=\textcolor{white}{-9\frac{207}{406}}$$return {
["body"] = 137,
["id"] = "hEj8kB_0629_2254",
["obtiznost"] = 1.26,
["reseni"] = {
["float"] = -9.5098522167488,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3861,
["jmenovatel"] = 406 },
["render"] = "\\frac{3861}{-406}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{207}{406}",
["x"] = -9,
["y"] = 207,
["z"] = 406 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "17 - (-16)",
["typ"] = "minus" },
["render"] = "(17 - (-16))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{10} \\cdot (17 - (-16))",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 13 },
["render"] = "2\\frac{5}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{13} - 8",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{13} - 8 - 10",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{5}{10} \\cdot (17 - (-16))}{2\\frac{5}{13} - 8 - 10}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.87, bodu=204, $$\frac{1\frac{1}{4}}{-20} - 2\frac{1}{3} - (16 - \frac{1\frac{3}{10}}{3\frac{4}{9}})=\textcolor{white}{-18\frac{137}{7440}}$$return {
["body"] = 204,
["id"] = "98AeVw_0629_2254",
["obtiznost"] = 1.67,
["reseni"] = {
["float"] = -18.018413978495,
["objekt"] = {
["hodnota"] = {
["citatel"] = -134057,
["jmenovatel"] = 7440 },
["render"] = "\\frac{-268114}{14880}",
["typ"] = "cislo" },
["tex"] = "-18\\frac{137}{7440}",
["x"] = -18,
["y"] = 137,
["z"] = 7440 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.87",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -20,
["jmenovatel"] = 1 },
["render"] = "-20",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{4}}{-20}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{1}{4}}{-20} - 2\\frac{1}{3}",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 10 },
["render"] = "1\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 9 },
["render"] = "3\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{10}}{3\\frac{4}{9}}",
["typ"] = "lomeno" },
["render"] = "16 - \\frac{1\\frac{3}{10}}{3\\frac{4}{9}}",
["typ"] = "minus" },
["render"] = "(16 - \\frac{1\\frac{3}{10}}{3\\frac{4}{9}})",
["typ"] = "zavorka" },
["render"] = "\\frac{1\\frac{1}{4}}{-20} - 2\\frac{1}{3} - (16 - \\frac{1\\frac{3}{10}}{3\\frac{4}{9}})",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.88, bodu=172, $$20 + 4\frac{1}{7} + \frac{-13}{9} + (1\frac{5}{12} + 2\frac{3}{7}) \cdot -7=\textcolor{white}{-4\frac{55}{252}}$$return {
["body"] = 172,
["id"] = "ME1Erz_0629_2254",
["obtiznost"] = 1.48,
["reseni"] = {
["float"] = -4.218253968254,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1063,
["jmenovatel"] = 252 },
["render"] = "\\frac{-1063}{252}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{55}{252}",
["x"] = -4,
["y"] = 55,
["z"] = 252 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{12} + 2\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(1\\frac{5}{12} + 2\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(1\\frac{5}{12} + 2\\frac{3}{7}) \\cdot -7",
["typ"] = "krat" },
["render"] = "\\frac{-13}{9} + (1\\frac{5}{12} + 2\\frac{3}{7}) \\cdot -7",
["typ"] = "plus" },
["render"] = "4\\frac{1}{7} + \\frac{-13}{9} + (1\\frac{5}{12} + 2\\frac{3}{7}) \\cdot -7",
["typ"] = "plus" },
["render"] = "20 + 4\\frac{1}{7} + \\frac{-13}{9} + (1\\frac{5}{12} + 2\\frac{3}{7}) \\cdot -7",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.89, bodu=243, $$1\frac{5}{14} - \frac{4\frac{2}{6}}{-13 + (-11 + 4\frac{3}{14} - 2\frac{1}{7})} + 4\frac{3}{10}=\textcolor{white}{5\frac{27553}{32235}}$$return {
["body"] = 243,
["id"] = "8hTyQX_0629_2254",
["obtiznost"] = 1.89,
["reseni"] = {
["float"] = 5.8547541492167,
["objekt"] = {
["hodnota"] = {
["citatel"] = 188728,
["jmenovatel"] = 32235 },
["render"] = "\\frac{754912}{128940}",
["typ"] = "cislo" },
["tex"] = "5\\frac{27553}{32235}",
["x"] = 5,
["y"] = 27553,
["z"] = 32235 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 14 },
["render"] = "1\\frac{5}{14}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 59,
["jmenovatel"] = 14 },
["render"] = "4\\frac{3}{14}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{14} - 2\\frac{1}{7}",
["typ"] = "minus" },
["render"] = "-11 + 4\\frac{3}{14} - 2\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "-13 + (-11 + 4\\frac{3}{14} - 2\\frac{1}{7})",
["typ"] = "plus" },
["render"] = "\\frac{4\\frac{2}{6}}{-13 + (-11 + 4\\frac{3}{14} - 2\\frac{1}{7})}",
["typ"] = "lomeno" },
["render"] = "1\\frac{5}{14} - \\frac{4\\frac{2}{6}}{-13 + (-11 + 4\\frac{3}{14} - 2\\frac{1}{7})}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 10 },
["render"] = "4\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{14} - \\frac{4\\frac{2}{6}}{-13 + (-11 + 4\\frac{3}{14} - 2\\frac{1}{7})} + 4\\frac{3}{10}",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.9, bodu=175, $$\frac{(19 + \frac{2\frac{5}{16}}{1\frac{3}{6}}) \cdot 1\frac{3}{8} - (-14)}{15}=\textcolor{white}{2\frac{2351}{2880}}$$return {
["body"] = 175,
["id"] = "eHGnGu_0629_2254",
["obtiznost"] = 1.5,
["reseni"] = {
["float"] = 2.8163194444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 8111,
["jmenovatel"] = 2880 },
["render"] = "\\frac{8111}{2880}",
["typ"] = "cislo" },
["tex"] = "2\\frac{2351}{2880}",
["x"] = 2,
["y"] = 2351,
["z"] = 2880 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 37,
["jmenovatel"] = 16 },
["render"] = "2\\frac{5}{16}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{16}}{1\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "19 + \\frac{2\\frac{5}{16}}{1\\frac{3}{6}}",
["typ"] = "plus" },
["render"] = "(19 + \\frac{2\\frac{5}{16}}{1\\frac{3}{6}})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 8 },
["render"] = "1\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "(19 + \\frac{2\\frac{5}{16}}{1\\frac{3}{6}}) \\cdot 1\\frac{3}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(19 + \\frac{2\\frac{5}{16}}{1\\frac{3}{6}}) \\cdot 1\\frac{3}{8} - (-14)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{(19 + \\frac{2\\frac{5}{16}}{1\\frac{3}{6}}) \\cdot 1\\frac{3}{8} - (-14)}{15}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.91, bodu=285, $$(2\frac{4}{8} + 2\frac{2}{5}) \cdot 2\frac{1}{10} \cdot (2\frac{1}{6} + 1\frac{4}{9}) \cdot 2\frac{2}{5}=\textcolor{white}{89{,}18}$$return {
["body"] = 285,
["id"] = "WZY1aI_0629_2254",
["obtiznost"] = 2.11,
["reseni"] = {
["float"] = 89.18,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4459,
["jmenovatel"] = 50 },
["render"] = "\\frac{4459}{50}",
["typ"] = "cislo" },
["tex"] = "89\\frac{9}{50}",
["tex_float"] = "89{,}18",
["x"] = 89,
["y"] = 9,
["z"] = 50 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.91",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{8} + 2\\frac{2}{5}",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{8} + 2\\frac{2}{5})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 10 },
["render"] = "2\\frac{1}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 9 },
["render"] = "1\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{6} + 1\\frac{4}{9}",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{6} + 1\\frac{4}{9})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["render"] = "(2\\frac{1}{6} + 1\\frac{4}{9}) \\cdot 2\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "2\\frac{1}{10} \\cdot (2\\frac{1}{6} + 1\\frac{4}{9}) \\cdot 2\\frac{2}{5}",
["typ"] = "krat" },
["render"] = "(2\\frac{4}{8} + 2\\frac{2}{5}) \\cdot 2\\frac{1}{10} \\cdot (2\\frac{1}{6} + 1\\frac{4}{9}) \\cdot 2\\frac{2}{5}",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.92, bodu=178, $$-12 + 7 \cdot -13 + 1\frac{1}{9} \cdot 4\frac{2}{3} + (-13) - 2\frac{3}{13}=\textcolor{white}{-113\frac{16}{351}}$$return {
["body"] = 178,
["id"] = "yY0S54_0629_2254",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -113.04558404558,
["objekt"] = {
["hodnota"] = {
["citatel"] = -39679,
["jmenovatel"] = 351 },
["render"] = "\\frac{-39679}{351}",
["typ"] = "cislo" },
["tex"] = "-113\\frac{16}{351}",
["x"] = -113,
["y"] = 16,
["z"] = 351 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.92",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "7 \\cdot -13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 9 },
["render"] = "1\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{3}",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{9} \\cdot 4\\frac{2}{3}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{9} \\cdot 4\\frac{2}{3} + (-13)",
["typ"] = "plus" },
["render"] = "7 \\cdot -13 + 1\\frac{1}{9} \\cdot 4\\frac{2}{3} + (-13)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 13 },
["render"] = "2\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "7 \\cdot -13 + 1\\frac{1}{9} \\cdot 4\\frac{2}{3} + (-13) - 2\\frac{3}{13}",
["typ"] = "minus" },
["render"] = "-12 + 7 \\cdot -13 + 1\\frac{1}{9} \\cdot 4\\frac{2}{3} + (-13) - 2\\frac{3}{13}",
["typ"] = "plus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.93, bodu=214, $$\frac{-23}{2\frac{5}{12} + 2\frac{3}{10}} - \frac{1\frac{4}{7}}{8 - 3\frac{1}{10}}=\textcolor{white}{-5\frac{19125}{97069}}$$return {
["body"] = 214,
["id"] = "1cxBAJ_0629_2254",
["obtiznost"] = 1.73,
["reseni"] = {
["float"] = -5.197024796794,
["objekt"] = {
["hodnota"] = {
["citatel"] = -504470,
["jmenovatel"] = 97069 },
["render"] = "\\frac{-504470}{97069}",
["typ"] = "cislo" },
["tex"] = "-5\\frac{19125}{97069}",
["x"] = -5,
["y"] = 19125,
["z"] = 97069 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 12 },
["render"] = "2\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{12} + 2\\frac{3}{10}",
["typ"] = "plus" },
["render"] = "\\frac{-23}{2\\frac{5}{12} + 2\\frac{3}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 31,
["jmenovatel"] = 10 },
["render"] = "3\\frac{1}{10}",
["typ"] = "cislo" },
["render"] = "8 - 3\\frac{1}{10}",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{4}{7}}{8 - 3\\frac{1}{10}}",
["typ"] = "lomeno" },
["render"] = "\\frac{-23}{2\\frac{5}{12} + 2\\frac{3}{10}} - \\frac{1\\frac{4}{7}}{8 - 3\\frac{1}{10}}",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.94, bodu=181, $$\frac{4\frac{5}{6} \cdot (-13 - (-7))}{-23} \cdot (3\frac{2}{10} - 3\frac{4}{8})=\textcolor{white}{-\frac{87}{230}}$$return {
["body"] = 181,
["id"] = "LtrviV_0629_2254",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -0.37826086956522,
["objekt"] = {
["hodnota"] = {
["citatel"] = -87,
["jmenovatel"] = 230 },
["render"] = "\\frac{-87}{230}",
["typ"] = "cislo" },
["tex"] = "-\\frac{87}{230}",
["y"] = -87,
["z"] = 230 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "-13 - (-7)",
["typ"] = "minus" },
["render"] = "(-13 - (-7))",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{6} \\cdot (-13 - (-7))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{6} \\cdot (-13 - (-7))}{-23}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} - 3\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "(3\\frac{2}{10} - 3\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "\\frac{4\\frac{5}{6} \\cdot (-13 - (-7))}{-23} \\cdot (3\\frac{2}{10} - 3\\frac{4}{8})",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.95, bodu=218, $$4\frac{4}{8} - (-11) - 3\frac{5}{12} \cdot \frac{\frac{19}{2\frac{1}{8}}}{1\frac{5}{10}}=\textcolor{white}{-4\frac{265}{306}}$$return {
["body"] = 218,
["id"] = "h8QNvW_0629_2254",
["obtiznost"] = 1.75,
["reseni"] = {
["float"] = -4.8660130718954,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1489,
["jmenovatel"] = 306 },
["render"] = "\\frac{-1489}{306}",
["typ"] = "cislo" },
["tex"] = "-4\\frac{265}{306}",
["x"] = -4,
["y"] = 265,
["z"] = 306 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.95",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{4}{8} - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 12 },
["render"] = "3\\frac{5}{12}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 19,
["jmenovatel"] = 1 },
["render"] = "19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 8 },
["render"] = "2\\frac{1}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{19}{2\\frac{1}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{19}{2\\frac{1}{8}}}{1\\frac{5}{10}}",
["typ"] = "lomeno" },
["render"] = "3\\frac{5}{12} \\cdot \\frac{\\frac{19}{2\\frac{1}{8}}}{1\\frac{5}{10}}",
["typ"] = "krat" },
["render"] = "4\\frac{4}{8} - (-11) - 3\\frac{5}{12} \\cdot \\frac{\\frac{19}{2\\frac{1}{8}}}{1\\frac{5}{10}}",
["typ"] = "minus" } }
seed: TaNNjeFB9PGYthcpIdRV_0.96, bodu=274, $$((11 - (-16))^2 - (3\frac{2}{10} + 2\frac{1}{5} \cdot 2\frac{2}{13} + 1\frac{2}{8})) \cdot -21=\textcolor{white}{-15116\frac{11}{260}}$$return {
["body"] = 274,
["id"] = "FA079l_0629_2254",
["obtiznost"] = 2.052,
["reseni"] = {
["float"] = -15116.042307692,
["objekt"] = {
["hodnota"] = {
["citatel"] = -3930171,
["jmenovatel"] = 260 },
["render"] = "\\frac{-3930171}{260}",
["typ"] = "cislo" },
["tex"] = "-15116\\frac{11}{260}",
["x"] = -15116,
["y"] = 11,
["z"] = 260 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.96",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "11 - (-16)",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(11 - (-16))^2",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 13 },
["render"] = "2\\frac{2}{13}",
["typ"] = "cislo" },
["render"] = "2\\frac{1}{5} \\cdot 2\\frac{2}{13}",
["typ"] = "krat" },
["render"] = "3\\frac{2}{10} + 2\\frac{1}{5} \\cdot 2\\frac{2}{13}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{10} + 2\\frac{1}{5} \\cdot 2\\frac{2}{13} + 1\\frac{2}{8}",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{10} + 2\\frac{1}{5} \\cdot 2\\frac{2}{13} + 1\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "(11 - (-16))^2 - (3\\frac{2}{10} + 2\\frac{1}{5} \\cdot 2\\frac{2}{13} + 1\\frac{2}{8})",
["typ"] = "minus" },
["render"] = "((11 - (-16))^2 - (3\\frac{2}{10} + 2\\frac{1}{5} \\cdot 2\\frac{2}{13} + 1\\frac{2}{8}))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "((11 - (-16))^2 - (3\\frac{2}{10} + 2\\frac{1}{5} \\cdot 2\\frac{2}{13} + 1\\frac{2}{8})) \\cdot -21",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.97, bodu=222, $$-23 \cdot 1\frac{3}{12} \cdot ((\frac{6}{2\frac{4}{14}})^2 - 4\frac{4}{12} + (-13))=\textcolor{white}{300\frac{175}{768}}$$return {
["body"] = 222,
["id"] = "iddtVA_0629_2254",
["obtiznost"] = 1.772,
["reseni"] = {
["float"] = 300.22786458333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 230575,
["jmenovatel"] = 768 },
["render"] = "\\frac{230575}{768}",
["typ"] = "cislo" },
["tex"] = "300\\frac{175}{768}",
["x"] = 300,
["y"] = 175,
["z"] = 768 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.97",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -23,
["jmenovatel"] = 1 },
["render"] = "-23",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "\\frac{6}{2\\frac{4}{14}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{2\\frac{4}{14}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "(\\frac{6}{2\\frac{4}{14}})^2 - 4\\frac{4}{12}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "(\\frac{6}{2\\frac{4}{14}})^2 - 4\\frac{4}{12} + (-13)",
["typ"] = "plus" },
["render"] = "((\\frac{6}{2\\frac{4}{14}})^2 - 4\\frac{4}{12} + (-13))",
["typ"] = "zavorka" },
["render"] = "1\\frac{3}{12} \\cdot ((\\frac{6}{2\\frac{4}{14}})^2 - 4\\frac{4}{12} + (-13))",
["typ"] = "krat" },
["render"] = "-23 \\cdot 1\\frac{3}{12} \\cdot ((\\frac{6}{2\\frac{4}{14}})^2 - 4\\frac{4}{12} + (-13))",
["typ"] = "krat" } }
seed: TaNNjeFB9PGYthcpIdRV_0.98, bodu=223, $$\frac{4\frac{1}{7} - 2\frac{4}{9}}{(-2 - (-11)) \cdot 1\frac{4}{13} + (-22) - 4\frac{3}{9}}=\textcolor{white}{-\frac{1391}{11928}}$$return {
["body"] = 223,
["id"] = "6iZHBt_0629_2254",
["obtiznost"] = 1.78,
["reseni"] = {
["float"] = -0.1166163648558,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1391,
["jmenovatel"] = 11928 },
["render"] = "\\frac{4173}{-35784}",
["typ"] = "cislo" },
["tex"] = "-\\frac{1391}{11928}",
["y"] = -1391,
["z"] = 11928 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.98",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 7 },
["render"] = "4\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 9 },
["render"] = "2\\frac{4}{9}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{7} - 2\\frac{4}{9}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -2,
["jmenovatel"] = 1 },
["render"] = "-2",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-2 - (-11)",
["typ"] = "minus" },
["render"] = "(-2 - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 13 },
["render"] = "1\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "(-2 - (-11)) \\cdot 1\\frac{4}{13}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["render"] = "(-2 - (-11)) \\cdot 1\\frac{4}{13} + (-22)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "(-2 - (-11)) \\cdot 1\\frac{4}{13} + (-22) - 4\\frac{3}{9}",
["typ"] = "minus" },
["render"] = "\\frac{4\\frac{1}{7} - 2\\frac{4}{9}}{(-2 - (-11)) \\cdot 1\\frac{4}{13} + (-22) - 4\\frac{3}{9}}",
["typ"] = "lomeno" } }
seed: TaNNjeFB9PGYthcpIdRV_0.99, bodu=126, $$(-17 + 8 - (4\frac{5}{11} + (-13)) \cdot -19 \cdot 7) \cdot -24=\textcolor{white}{27493\frac{1}{11}}$$return {
["body"] = 126,
["id"] = "GcewG6_0629_2254",
["obtiznost"] = 1.19,
["reseni"] = {
["float"] = 27493.090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = 302424,
["jmenovatel"] = 11 },
["render"] = "\\frac{302424}{11}",
["typ"] = "cislo" },
["tex"] = "27493\\frac{1}{11}",
["x"] = 27493,
["y"] = 1,
["z"] = 11 },
["seed"] = "TaNNjeFB9PGYthcpIdRV_0.99",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-17 + 8",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "4\\frac{5}{11} + (-13)",
["typ"] = "plus" },
["render"] = "(4\\frac{5}{11} + (-13))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-19 \\cdot 7",
["typ"] = "krat" },
["render"] = "(4\\frac{5}{11} + (-13)) \\cdot -19 \\cdot 7",
["typ"] = "krat" },
["render"] = "-17 + 8 - (4\\frac{5}{11} + (-13)) \\cdot -19 \\cdot 7",
["typ"] = "minus" },
["render"] = "(-17 + 8 - (4\\frac{5}{11} + (-13)) \\cdot -19 \\cdot 7)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -24,
["jmenovatel"] = 1 },
["render"] = "-24",
["typ"] = "cislo" },
["render"] = "(-17 + 8 - (4\\frac{5}{11} + (-13)) \\cdot -19 \\cdot 7) \\cdot -24",
["typ"] = "krat" } }
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UJrA.gif: 
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poehler.gif: 
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