- - - MATIX - škola hrou - - - |
Nahodny test, priklady s rostouci obtiznosti...
seed: btriNf7Iy7SanBG6QyVd_0, bodu=5, $$(6 - 6)^3 - (-10 - 6)=\textcolor{white}{16}$$return {
["body"] = 5,
["id"] = "lv1iJW_1222_0532",
["obtiznost"] = 0.0004,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "\\frac{16}{1}",
["typ"] = "cislo" },
["tex"] = "16",
["tex_float"] = "16",
["x"] = 16 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0",
["zadani"] = {
["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"] = 3,
["render"] = "(6 - 6)^3",
["typ"] = "mocnina" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "-10 - 6",
["typ"] = "minus" },
["render"] = "(-10 - 6)",
["typ"] = "zavorka" },
["render"] = "(6 - 6)^3 - (-10 - 6)",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.01, bodu=10, $$\frac{5 + 5 \cdot 7}{11}=\textcolor{white}{3\frac{7}{11}}$$return {
["body"] = 10,
["id"] = "IEVgGK_1222_0532",
["obtiznost"] = 0.01,
["reseni"] = {
["float"] = 3.6363636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 11 },
["render"] = "\\frac{40}{11}",
["typ"] = "cislo" },
["tex"] = "3\\frac{7}{11}",
["x"] = 3,
["y"] = 7,
["z"] = 11 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.01",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "5 \\cdot 7",
["typ"] = "krat" },
["render"] = "5 + 5 \\cdot 7",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "\\frac{5 + 5 \\cdot 7}{11}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.02, bodu=10, $$6 + \frac{10}{6} + 8=\textcolor{white}{15\frac{2}{3}}$$return {
["body"] = 10,
["id"] = "ASdwOz_1222_0532",
["obtiznost"] = 0.02,
["reseni"] = {
["float"] = 15.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 47,
["jmenovatel"] = 3 },
["render"] = "\\frac{47}{3}",
["typ"] = "cislo" },
["tex"] = "15\\frac{2}{3}",
["x"] = 15,
["y"] = 2,
["z"] = 3 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.02",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{10}{6}",
["typ"] = "lomeno" },
["render"] = "6 + \\frac{10}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "6 + \\frac{10}{6} + 8",
["typ"] = "plus" } }
seed: btriNf7Iy7SanBG6QyVd_0.03, bodu=5, $$5 - 8 - (6 - 10)=\textcolor{white}{1}$$return {
["body"] = 5,
["id"] = "zXELdZ_1222_0532",
["obtiznost"] = 0.03,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "\\frac{1}{1}",
["typ"] = "cislo" },
["tex"] = "1",
["tex_float"] = "1",
["x"] = 1 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.03",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "5 - 8",
["typ"] = "minus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "6 - 10",
["typ"] = "minus" },
["render"] = "(6 - 10)",
["typ"] = "zavorka" },
["render"] = "5 - 8 - (6 - 10)",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.04, bodu=10, $$\frac{\frac{3}{8}}{7}=\textcolor{white}{\frac{3}{56}}$$return {
["body"] = 10,
["id"] = "dDg0Jn_1222_0532",
["obtiznost"] = 0.04,
["reseni"] = {
["float"] = 0.053571428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 56 },
["render"] = "\\frac{3}{56}",
["typ"] = "cislo" },
["tex"] = "\\frac{3}{56}",
["y"] = 3,
["z"] = 56 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.04",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{3}{8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{3}{8}}{7}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.05, bodu=5, $$7 \cdot 7 - (11 + 10)=\textcolor{white}{28}$$return {
["body"] = 5,
["id"] = "2r2jYg_1222_0532",
["obtiznost"] = 0.05,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 1 },
["render"] = "\\frac{28}{1}",
["typ"] = "cislo" },
["tex"] = "28",
["x"] = 28 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.05",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "7 \\cdot 7",
["typ"] = "krat" },
["c2"] = {
["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"] = "7 \\cdot 7 - (11 + 10)",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.06, bodu=13, $$-7 \cdot \frac{(8 + 3)^2}{4}=\textcolor{white}{-211{,}75}$$return {
["body"] = 13,
["id"] = "sdy4TU_1222_0532",
["obtiznost"] = 0.1088,
["reseni"] = {
["float"] = -211.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -847,
["jmenovatel"] = 4 },
["render"] = "\\frac{-847}{4}",
["typ"] = "cislo" },
["tex"] = "-211\\frac{3}{4}",
["tex_float"] = "-211{,}75",
["x"] = -211,
["y"] = 3,
["z"] = 4 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.06",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "8 + 3",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(8 + 3)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{(8 + 3)^2}{4}",
["typ"] = "lomeno" },
["render"] = "-7 \\cdot \\frac{(8 + 3)^2}{4}",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.07, bodu=14, $$10 + (12 - 3)^3 \cdot 9=\textcolor{white}{6571}$$return {
["body"] = 14,
["id"] = "3qIZlc_1222_0532",
["obtiznost"] = 0.362,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6571,
["jmenovatel"] = 1 },
["render"] = "\\frac{6571}{1}",
["typ"] = "cislo" },
["tex"] = "6571",
["tex_float"] = "6571",
["x"] = 6571 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.07",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "12 - 3",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(12 - 3)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(12 - 3)^3 \\cdot 9",
["typ"] = "krat" },
["render"] = "10 + (12 - 3)^3 \\cdot 9",
["typ"] = "plus" } }
seed: btriNf7Iy7SanBG6QyVd_0.08, bodu=12, $$\frac{5 - (-9 - 4)}{10}=\textcolor{white}{1{,}8}$$return {
["body"] = 12,
["id"] = "82BC7d_1222_0532",
["obtiznost"] = 0.08,
["reseni"] = {
["float"] = 1.8,
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 5 },
["render"] = "\\frac{18}{10}",
["typ"] = "cislo" },
["tex"] = "1\\frac{4}{5}",
["tex_float"] = "1{,}8",
["x"] = 1,
["y"] = 4,
["z"] = 5 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.08",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "-9 - 4",
["typ"] = "minus" },
["render"] = "(-9 - 4)",
["typ"] = "zavorka" },
["render"] = "5 - (-9 - 4)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{5 - (-9 - 4)}{10}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.09, bodu=24, $$(7 + (-8)) \cdot (3 - 2\frac{5}{8} + 9)=\textcolor{white}{-9{,}375}$$return {
["body"] = 24,
["id"] = "uy0VZh_1222_0532",
["obtiznost"] = 0.29,
["reseni"] = {
["float"] = -9.375,
["objekt"] = {
["hodnota"] = {
["citatel"] = -75,
["jmenovatel"] = 8 },
["render"] = "\\frac{-75}{8}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{3}{8}",
["tex_float"] = "-9{,}375",
["x"] = -9,
["y"] = 3,
["z"] = 8 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.09",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "7 + (-8)",
["typ"] = "plus" },
["render"] = "(7 + (-8))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "3 - 2\\frac{5}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "3 - 2\\frac{5}{8} + 9",
["typ"] = "plus" },
["render"] = "(3 - 2\\frac{5}{8} + 9)",
["typ"] = "zavorka" },
["render"] = "(7 + (-8)) \\cdot (3 - 2\\frac{5}{8} + 9)",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.1, bodu=13, $$\frac{(-4 + 9)^2}{\frac{9}{10}}=\textcolor{white}{27\frac{7}{9}}$$return {
["body"] = 13,
["id"] = "P0lnfP_1222_0532",
["obtiznost"] = 0.1104,
["reseni"] = {
["float"] = 27.777777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = 250,
["jmenovatel"] = 9 },
["render"] = "\\frac{250}{9}",
["typ"] = "cislo" },
["tex"] = "27\\frac{7}{9}",
["x"] = 27,
["y"] = 7,
["z"] = 9 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.1",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-4 + 9",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-4 + 9)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{9}{10}",
["typ"] = "lomeno" },
["render"] = "\\frac{(-4 + 9)^2}{\\frac{9}{10}}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.11, bodu=13, $$\frac{8 \cdot 9}{-8}=\textcolor{white}{-9}$$return {
["body"] = 13,
["id"] = "PiLKWJ_1222_0532",
["obtiznost"] = 0.11,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "\\frac{72}{-8}",
["typ"] = "cislo" },
["tex"] = "-9",
["tex_float"] = "-9",
["x"] = -9 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.11",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "8 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{8 \\cdot 9}{-8}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.12, bodu=13, $$-6 \cdot (9 - \frac{8}{-3})=\textcolor{white}{-70}$$return {
["body"] = 13,
["id"] = "XNM9tN_1222_0532",
["obtiznost"] = 0.12,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -70,
["jmenovatel"] = 1 },
["render"] = "\\frac{-210}{3}",
["typ"] = "cislo" },
["tex"] = "-70",
["tex_float"] = "-70",
["x"] = -70 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.12",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "\\frac{8}{-3}",
["typ"] = "lomeno" },
["render"] = "9 - \\frac{8}{-3}",
["typ"] = "minus" },
["render"] = "(9 - \\frac{8}{-3})",
["typ"] = "zavorka" },
["render"] = "-6 \\cdot (9 - \\frac{8}{-3})",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.13, bodu=14, $$\frac{\frac{11}{6}}{10}=\textcolor{white}{\frac{11}{60}}$$return {
["body"] = 14,
["id"] = "9aENsn_1222_0532",
["obtiznost"] = 0.13,
["reseni"] = {
["float"] = 0.18333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 60 },
["render"] = "\\frac{11}{60}",
["typ"] = "cislo" },
["tex"] = "\\frac{11}{60}",
["y"] = 11,
["z"] = 60 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.13",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{11}{6}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{11}{6}}{10}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.14, bodu=7, $$(-7 + 8 + 13 + (-3)) \cdot -9=\textcolor{white}{-99}$$return {
["body"] = 7,
["id"] = "nSlxb2_1222_0532",
["obtiznost"] = 0.14,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -99,
["jmenovatel"] = 1 },
["render"] = "\\frac{-99}{1}",
["typ"] = "cislo" },
["tex"] = "-99",
["tex_float"] = "-99",
["x"] = -99 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.14",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["render"] = "13 + (-3)",
["typ"] = "plus" },
["render"] = "8 + 13 + (-3)",
["typ"] = "plus" },
["render"] = "-7 + 8 + 13 + (-3)",
["typ"] = "plus" },
["render"] = "(-7 + 8 + 13 + (-3))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(-7 + 8 + 13 + (-3)) \\cdot -9",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.15, bodu=28, $$4 \cdot 6 \cdot (5 - 4\frac{4}{8})^2=\textcolor{white}{6}$$return {
["body"] = 28,
["id"] = "JCM23e_1222_0532",
["obtiznost"] = 0.352,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "\\frac{24}{4}",
["typ"] = "cislo" },
["tex"] = "6",
["tex_float"] = "6",
["x"] = 6 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.15",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "4 \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "5 - 4\\frac{4}{8}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(5 - 4\\frac{4}{8})^2",
["typ"] = "mocnina" },
["render"] = "4 \\cdot 6 \\cdot (5 - 4\\frac{4}{8})^2",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.16, bodu=15, $$(\frac{-12}{9} - 6) \cdot -7=\textcolor{white}{51\frac{1}{3}}$$return {
["body"] = 15,
["id"] = "v3mDS9_1222_0532",
["obtiznost"] = 0.16,
["reseni"] = {
["float"] = 51.333333333333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 154,
["jmenovatel"] = 3 },
["render"] = "\\frac{154}{3}",
["typ"] = "cislo" },
["tex"] = "51\\frac{1}{3}",
["x"] = 51,
["y"] = 1,
["z"] = 3 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.16",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{9}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{9} - 6",
["typ"] = "minus" },
["render"] = "(\\frac{-12}{9} - 6)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "(\\frac{-12}{9} - 6) \\cdot -7",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.17, bodu=17, $$(\frac{6}{5 + 12 + 4})^2=\textcolor{white}{\frac{4}{49}}$$return {
["body"] = 17,
["id"] = "yXbS4Q_1222_0532",
["obtiznost"] = 0.1912,
["reseni"] = {
["float"] = 0.081632653061224,
["objekt"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 49 },
["render"] = "\\frac{4}{49}",
["typ"] = "cislo" },
["tex"] = "\\frac{4}{49}",
["y"] = 4,
["z"] = 49 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.17",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "12 + 4",
["typ"] = "plus" },
["render"] = "5 + 12 + 4",
["typ"] = "plus" },
["render"] = "\\frac{6}{5 + 12 + 4}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{6}{5 + 12 + 4})^2",
["typ"] = "mocnina" } }
seed: btriNf7Iy7SanBG6QyVd_0.18, bodu=8, $$6 \cdot 9 \cdot (10 - 13)^3=\textcolor{white}{-1458}$$return {
["body"] = 8,
["id"] = "8kbHSn_1222_0532",
["obtiznost"] = 0.1912,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -1458,
["jmenovatel"] = 1 },
["render"] = "\\frac{-1458}{1}",
["typ"] = "cislo" },
["tex"] = "-1458",
["tex_float"] = "-1458",
["x"] = -1458 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.18",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "10 - 13",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(10 - 13)^3",
["typ"] = "mocnina" },
["render"] = "9 \\cdot (10 - 13)^3",
["typ"] = "krat" },
["render"] = "6 \\cdot 9 \\cdot (10 - 13)^3",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.19, bodu=31, $$3\frac{4}{6} \cdot -9 + 8 + 11=\textcolor{white}{-14}$$return {
["body"] = 31,
["id"] = "mWjbzf_1222_0532",
["obtiznost"] = 0.39,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "\\frac{-14}{1}",
["typ"] = "cislo" },
["tex"] = "-14",
["x"] = -14 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.19",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} \\cdot -9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "8 + 11",
["typ"] = "plus" },
["render"] = "3\\frac{4}{6} \\cdot -9 + 8 + 11",
["typ"] = "plus" } }
seed: btriNf7Iy7SanBG6QyVd_0.2, bodu=18, $$\frac{9}{\frac{12}{-10} + 7}=\textcolor{white}{1\frac{16}{29}}$$return {
["body"] = 18,
["id"] = "gmxKfQ_1222_0532",
["obtiznost"] = 0.2,
["reseni"] = {
["float"] = 1.551724137931,
["objekt"] = {
["hodnota"] = {
["citatel"] = 45,
["jmenovatel"] = 29 },
["render"] = "\\frac{45}{29}",
["typ"] = "cislo" },
["tex"] = "1\\frac{16}{29}",
["x"] = 1,
["y"] = 16,
["z"] = 29 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.2",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-10}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{12}{-10} + 7",
["typ"] = "plus" },
["render"] = "\\frac{9}{\\frac{12}{-10} + 7}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.21, bodu=52, $$(2\frac{4}{7} + 4) \cdot (4\frac{4}{9} + (-8 - 7))=\textcolor{white}{-69\frac{23}{63}}$$return {
["body"] = 52,
["id"] = "fOPXGN_1222_0532",
["obtiznost"] = 0.61,
["reseni"] = {
["float"] = -69.365079365079,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4370,
["jmenovatel"] = 63 },
["render"] = "\\frac{-4370}{63}",
["typ"] = "cislo" },
["tex"] = "-69\\frac{23}{63}",
["x"] = -69,
["y"] = 23,
["z"] = 63 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.21",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 7 },
["render"] = "2\\frac{4}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{7} + 4",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{7} + 4)",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 40,
["jmenovatel"] = 9 },
["render"] = "4\\frac{4}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "-8 - 7",
["typ"] = "minus" },
["render"] = "4\\frac{4}{9} + (-8 - 7)",
["typ"] = "plus" },
["render"] = "(4\\frac{4}{9} + (-8 - 7))",
["typ"] = "zavorka" },
["render"] = "(2\\frac{4}{7} + 4) \\cdot (4\\frac{4}{9} + (-8 - 7))",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.22, bodu=34, $$(-3 + (-11)) \cdot (8 - 1\frac{3}{5} \cdot 5)=\textcolor{white}{0}$$return {
["body"] = 34,
["id"] = "x00X9P_1222_0532",
["obtiznost"] = 0.42,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -0,
["jmenovatel"] = 1 },
["render"] = "\\frac{-0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.22",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-3 + (-11)",
["typ"] = "plus" },
["render"] = "(-3 + (-11))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 5 },
["render"] = "1\\frac{3}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "1\\frac{3}{5} \\cdot 5",
["typ"] = "krat" },
["render"] = "8 - 1\\frac{3}{5} \\cdot 5",
["typ"] = "minus" },
["render"] = "(8 - 1\\frac{3}{5} \\cdot 5)",
["typ"] = "zavorka" },
["render"] = "(-3 + (-11)) \\cdot (8 - 1\\frac{3}{5} \\cdot 5)",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.23, bodu=39, $$8 - 7 - (\frac{1\frac{5}{10}}{5})^2=\textcolor{white}{0{,}91}$$return {
["body"] = 39,
["id"] = "AlhUY4_1222_0532",
["obtiznost"] = 0.4736,
["reseni"] = {
["float"] = 0.91,
["objekt"] = {
["hodnota"] = {
["citatel"] = 91,
["jmenovatel"] = 100 },
["render"] = "\\frac{91}{100}",
["typ"] = "cislo" },
["tex"] = "\\frac{91}{100}",
["tex_float"] = "0{,}91",
["y"] = 91,
["z"] = 100 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.23",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "8 - 7",
["typ"] = "minus" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{5}{10}}{5}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{1\\frac{5}{10}}{5})^2",
["typ"] = "mocnina" },
["render"] = "8 - 7 - (\\frac{1\\frac{5}{10}}{5})^2",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.24, bodu=20, $$\frac{\frac{6}{6}}{\frac{9}{-5}}=\textcolor{white}{-\frac{5}{9}}$$return {
["body"] = 20,
["id"] = "92Z1KN_1222_0532",
["obtiznost"] = 0.24,
["reseni"] = {
["float"] = -0.55555555555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 9 },
["render"] = "\\frac{5}{-9}",
["typ"] = "cislo" },
["tex"] = "-\\frac{5}{9}",
["y"] = -5,
["z"] = 9 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.24",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{6}{6}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "\\frac{9}{-5}",
["typ"] = "lomeno" },
["render"] = "\\frac{\\frac{6}{6}}{\\frac{9}{-5}}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.25, bodu=21, $$(\frac{9}{9 + (-9 \cdot 2)})^2=\textcolor{white}{1}$$return {
["body"] = 21,
["id"] = "T1Zjou_1222_0532",
["obtiznost"] = 0.2508,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 1,
["jmenovatel"] = 1 },
["render"] = "\\frac{1}{1}",
["typ"] = "cislo" },
["tex"] = "1",
["x"] = 1 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.25",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "-9 \\cdot 2",
["typ"] = "krat" },
["render"] = "9 + (-9 \\cdot 2)",
["typ"] = "plus" },
["render"] = "\\frac{9}{9 + (-9 \\cdot 2)}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{9}{9 + (-9 \\cdot 2)})^2",
["typ"] = "mocnina" } }
seed: btriNf7Iy7SanBG6QyVd_0.26, bodu=11, $$(8 - 11)^3 \cdot 5 - (7 + 10)=\textcolor{white}{-152}$$return {
["body"] = 11,
["id"] = "OHCCmJ_1222_0532",
["obtiznost"] = 0.2712,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -152,
["jmenovatel"] = 1 },
["render"] = "\\frac{-152}{1}",
["typ"] = "cislo" },
["tex"] = "-152",
["tex_float"] = "-152",
["x"] = -152 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.26",
["zadani"] = {
["c1"] = {
["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"] = 3,
["render"] = "(8 - 11)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "(8 - 11)^3 \\cdot 5",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "7 + 10",
["typ"] = "plus" },
["render"] = "(7 + 10)",
["typ"] = "zavorka" },
["render"] = "(8 - 11)^3 \\cdot 5 - (7 + 10)",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.27, bodu=59, $$-11 - (8 + (-8)) - 4\frac{1}{4} \cdot 4\frac{2}{4}=\textcolor{white}{-30{,}125}$$return {
["body"] = 59,
["id"] = "3i8Id8_1222_0532",
["obtiznost"] = 0.67,
["reseni"] = {
["float"] = -30.125,
["objekt"] = {
["hodnota"] = {
["citatel"] = -241,
["jmenovatel"] = 8 },
["render"] = "\\frac{-241}{8}",
["typ"] = "cislo" },
["tex"] = "-30\\frac{1}{8}",
["tex_float"] = "-30{,}125",
["x"] = -30,
["y"] = 1,
["z"] = 8 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.27",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "8 + (-8)",
["typ"] = "plus" },
["render"] = "(8 + (-8))",
["typ"] = "zavorka" },
["render"] = "-11 - (8 + (-8))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{2}{4}",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} \\cdot 4\\frac{2}{4}",
["typ"] = "krat" },
["render"] = "-11 - (8 + (-8)) - 4\\frac{1}{4} \\cdot 4\\frac{2}{4}",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.28, bodu=39, $$\frac{11}{-9 + 9 + 4\frac{1}{5}} - (-11)=\textcolor{white}{13\frac{13}{21}}$$return {
["body"] = 39,
["id"] = "aD5ztB_1222_0532",
["obtiznost"] = 0.48,
["reseni"] = {
["float"] = 13.619047619048,
["objekt"] = {
["hodnota"] = {
["citatel"] = 286,
["jmenovatel"] = 21 },
["render"] = "\\frac{286}{21}",
["typ"] = "cislo" },
["tex"] = "13\\frac{13}{21}",
["x"] = 13,
["y"] = 13,
["z"] = 21 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.28",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["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" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "-9 + 9 + 4\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "\\frac{11}{-9 + 9 + 4\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{11}{-9 + 9 + 4\\frac{1}{5}} - (-11)",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.29, bodu=61, $$\frac{2\frac{2}{4}}{\frac{10 + 8}{2\frac{3}{7}}}=\textcolor{white}{\frac{85}{252}}$$return {
["body"] = 61,
["id"] = "wUdbaB_1222_0532",
["obtiznost"] = 0.69,
["reseni"] = {
["float"] = 0.33730158730159,
["objekt"] = {
["hodnota"] = {
["citatel"] = 85,
["jmenovatel"] = 252 },
["render"] = "\\frac{85}{252}",
["typ"] = "cislo" },
["tex"] = "\\frac{85}{252}",
["y"] = 85,
["z"] = 252 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.29",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{2}{4}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "10 + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{10 + 8}{2\\frac{3}{7}}",
["typ"] = "lomeno" },
["render"] = "\\frac{2\\frac{2}{4}}{\\frac{10 + 8}{2\\frac{3}{7}}}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.3, bodu=41, $$5 \cdot 1\frac{1}{6} \cdot 8 - 9=\textcolor{white}{37\frac{2}{3}}$$return {
["body"] = 41,
["id"] = "KTWSqI_1222_0532",
["obtiznost"] = 0.5,
["reseni"] = {
["float"] = 37.666666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 113,
["jmenovatel"] = 3 },
["render"] = "\\frac{113}{3}",
["typ"] = "cislo" },
["tex"] = "37\\frac{2}{3}",
["x"] = 37,
["y"] = 2,
["z"] = 3 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.3",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{6} \\cdot 8",
["typ"] = "krat" },
["render"] = "5 \\cdot 1\\frac{1}{6} \\cdot 8",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "5 \\cdot 1\\frac{1}{6} \\cdot 8 - 9",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.31, bodu=12, $$(5 - (-10) - (-10)) \cdot 6=\textcolor{white}{150}$$return {
["body"] = 12,
["id"] = "Q8liiH_1222_0532",
["obtiznost"] = 0.31,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 150,
["jmenovatel"] = 1 },
["render"] = "\\frac{150}{1}",
["typ"] = "cislo" },
["tex"] = "150",
["x"] = 150 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.31",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "5 - (-10)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["render"] = "5 - (-10) - (-10)",
["typ"] = "minus" },
["render"] = "(5 - (-10) - (-10))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(5 - (-10) - (-10)) \\cdot 6",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.32, bodu=43, $$\frac{4\frac{1}{4} + 8 + 10}{\frac{5}{7}}=\textcolor{white}{31{,}15}$$return {
["body"] = 43,
["id"] = "my7EEa_1222_0532",
["obtiznost"] = 0.52,
["reseni"] = {
["float"] = 31.15,
["objekt"] = {
["hodnota"] = {
["citatel"] = 623,
["jmenovatel"] = 20 },
["render"] = "\\frac{623}{20}",
["typ"] = "cislo" },
["tex"] = "31\\frac{3}{20}",
["tex_float"] = "31{,}15",
["x"] = 31,
["y"] = 3,
["z"] = 20 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.32",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} + 8",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "4\\frac{1}{4} + 8 + 10",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{5}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{1}{4} + 8 + 10}{\\frac{5}{7}}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.33, bodu=44, $$8 - (-13) - \frac{7}{4\frac{3}{6}}=\textcolor{white}{19\frac{4}{9}}$$return {
["body"] = 44,
["id"] = "3GdLok_1222_0532",
["obtiznost"] = 0.53,
["reseni"] = {
["float"] = 19.444444444444,
["objekt"] = {
["hodnota"] = {
["citatel"] = 175,
["jmenovatel"] = 9 },
["render"] = "\\frac{175}{9}",
["typ"] = "cislo" },
["tex"] = "19\\frac{4}{9}",
["x"] = 19,
["y"] = 4,
["z"] = 9 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.33",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "8 - (-13)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{7}{4\\frac{3}{6}}",
["typ"] = "lomeno" },
["render"] = "8 - (-13) - \\frac{7}{4\\frac{3}{6}}",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.34, bodu=92, $$(3\frac{5}{8} + (-14) - 4\frac{3}{6}) \cdot -10 \cdot 2\frac{5}{9}=\textcolor{white}{380\frac{5}{36}}$$return {
["body"] = 92,
["id"] = "9V7SuH_1222_0532",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = 380.13888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 13685,
["jmenovatel"] = 36 },
["render"] = "\\frac{27370}{72}",
["typ"] = "cislo" },
["tex"] = "380\\frac{5}{36}",
["x"] = 380,
["y"] = 5,
["z"] = 36 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.34",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} + (-14)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{8} + (-14) - 4\\frac{3}{6}",
["typ"] = "minus" },
["render"] = "(3\\frac{5}{8} + (-14) - 4\\frac{3}{6})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "-10 \\cdot 2\\frac{5}{9}",
["typ"] = "krat" },
["render"] = "(3\\frac{5}{8} + (-14) - 4\\frac{3}{6}) \\cdot -10 \\cdot 2\\frac{5}{9}",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.35, bodu=68, $$11 + \frac{\frac{2\frac{1}{4}}{3\frac{5}{9}}}{8}=\textcolor{white}{11\frac{81}{1024}}$$return {
["body"] = 68,
["id"] = "BlQ7bt_1222_0532",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = 11.0791015625,
["objekt"] = {
["hodnota"] = {
["citatel"] = 11345,
["jmenovatel"] = 1024 },
["render"] = "\\frac{11345}{1024}",
["typ"] = "cislo" },
["tex"] = "11\\frac{81}{1024}",
["x"] = 11,
["y"] = 81,
["z"] = 1024 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.35",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{1}{4}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 9 },
["render"] = "3\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{4}}{3\\frac{5}{9}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{2\\frac{1}{4}}{3\\frac{5}{9}}}{8}",
["typ"] = "lomeno" },
["render"] = "11 + \\frac{\\frac{2\\frac{1}{4}}{3\\frac{5}{9}}}{8}",
["typ"] = "plus" } }
seed: btriNf7Iy7SanBG6QyVd_0.36, bodu=14, $$8 \cdot 10 - (10 + 12 - (-7))=\textcolor{white}{51}$$return {
["body"] = 14,
["id"] = "eQ0yzJ_1222_0532",
["obtiznost"] = 0.36,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 51,
["jmenovatel"] = 1 },
["render"] = "\\frac{51}{1}",
["typ"] = "cislo" },
["tex"] = "51",
["tex_float"] = "51",
["x"] = 51 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.36",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 \\cdot 10",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "10 + 12",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "10 + 12 - (-7)",
["typ"] = "minus" },
["render"] = "(10 + 12 - (-7))",
["typ"] = "zavorka" },
["render"] = "8 \\cdot 10 - (10 + 12 - (-7))",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.37, bodu=55, $$12 + 9 + (-11) + (-11 + (7 - 4\frac{3}{5})^2)=\textcolor{white}{4{,}76}$$return {
["body"] = 55,
["id"] = "AlFwaB_1222_0532",
["obtiznost"] = 0.6376,
["reseni"] = {
["float"] = 4.76,
["objekt"] = {
["hodnota"] = {
["citatel"] = 119,
["jmenovatel"] = 25 },
["render"] = "\\frac{119}{25}",
["typ"] = "cislo" },
["tex"] = "4\\frac{19}{25}",
["tex_float"] = "4{,}76",
["x"] = 4,
["y"] = 19,
["z"] = 25 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.37",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["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 + (-11)",
["typ"] = "plus" },
["render"] = "12 + 9 + (-11)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "7 - 4\\frac{3}{5}",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(7 - 4\\frac{3}{5})^2",
["typ"] = "mocnina" },
["render"] = "-11 + (7 - 4\\frac{3}{5})^2",
["typ"] = "plus" },
["render"] = "12 + 9 + (-11) + (-11 + (7 - 4\\frac{3}{5})^2)",
["typ"] = "plus" } }
seed: btriNf7Iy7SanBG6QyVd_0.38, bodu=49, $$(11 - 3\frac{3}{8}) \cdot -14 - 9=\textcolor{white}{-115{,}75}$$return {
["body"] = 49,
["id"] = "K9YVKe_1222_0532",
["obtiznost"] = 0.58,
["reseni"] = {
["float"] = -115.75,
["objekt"] = {
["hodnota"] = {
["citatel"] = -463,
["jmenovatel"] = 4 },
["render"] = "\\frac{-463}{4}",
["typ"] = "cislo" },
["tex"] = "-115\\frac{3}{4}",
["tex_float"] = "-115{,}75",
["x"] = -115,
["y"] = 3,
["z"] = 4 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.38",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "11 - 3\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(11 - 3\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "(11 - 3\\frac{3}{8}) \\cdot -14",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(11 - 3\\frac{3}{8}) \\cdot -14 - 9",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.39, bodu=73, $$\frac{9 - (9 - 3\frac{5}{7})}{1\frac{2}{6}}=\textcolor{white}{2\frac{11}{14}}$$return {
["body"] = 73,
["id"] = "klh9UN_1222_0532",
["obtiznost"] = 0.79,
["reseni"] = {
["float"] = 2.7857142857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = 39,
["jmenovatel"] = 14 },
["render"] = "\\frac{78}{28}",
["typ"] = "cislo" },
["tex"] = "2\\frac{11}{14}",
["x"] = 2,
["y"] = 11,
["z"] = 14 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.39",
["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"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "9 - 3\\frac{5}{7}",
["typ"] = "minus" },
["render"] = "(9 - 3\\frac{5}{7})",
["typ"] = "zavorka" },
["render"] = "9 - (9 - 3\\frac{5}{7})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{9 - (9 - 3\\frac{5}{7})}{1\\frac{2}{6}}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.4, bodu=69, $$11 + \frac{2\frac{1}{5} + (\frac{7}{4})^3}{6}=\textcolor{white}{12\frac{499}{1920}}$$return {
["body"] = 69,
["id"] = "wevXLI_1222_0532",
["obtiznost"] = 0.7628,
["reseni"] = {
["float"] = 12.259895833333,
["objekt"] = {
["hodnota"] = {
["citatel"] = 23539,
["jmenovatel"] = 1920 },
["render"] = "\\frac{23539}{1920}",
["typ"] = "cislo" },
["tex"] = "12\\frac{499}{1920}",
["x"] = 12,
["y"] = 499,
["z"] = 1920 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.4",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "\\frac{7}{4}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{7}{4})^3",
["typ"] = "mocnina" },
["render"] = "2\\frac{1}{5} + (\\frac{7}{4})^3",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{5} + (\\frac{7}{4})^3}{6}",
["typ"] = "lomeno" },
["render"] = "11 + \\frac{2\\frac{1}{5} + (\\frac{7}{4})^3}{6}",
["typ"] = "plus" } }
seed: btriNf7Iy7SanBG6QyVd_0.41, bodu=52, $$\frac{10}{3} + 4\frac{4}{6} - (10 - 11)=\textcolor{white}{9}$$return {
["body"] = 52,
["id"] = "33dzj7_1222_0532",
["obtiznost"] = 0.61,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "\\frac{27}{3}",
["typ"] = "cislo" },
["tex"] = "9",
["x"] = 9 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.41",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "\\frac{10}{3}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 3 },
["render"] = "4\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "10 - 11",
["typ"] = "minus" },
["render"] = "(10 - 11)",
["typ"] = "zavorka" },
["render"] = "4\\frac{4}{6} - (10 - 11)",
["typ"] = "minus" },
["render"] = "\\frac{10}{3} + 4\\frac{4}{6} - (10 - 11)",
["typ"] = "plus" } }
seed: btriNf7Iy7SanBG6QyVd_0.42, bodu=34, $$\frac{12}{8 + 13 + (-8 \cdot -11)}=\textcolor{white}{\frac{12}{109}}$$return {
["body"] = 34,
["id"] = "10BmcT_1222_0532",
["obtiznost"] = 0.42,
["reseni"] = {
["float"] = 0.11009174311927,
["objekt"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 109 },
["render"] = "\\frac{12}{109}",
["typ"] = "cislo" },
["tex"] = "\\frac{12}{109}",
["y"] = 12,
["z"] = 109 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.42",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-8 \\cdot -11",
["typ"] = "krat" },
["render"] = "13 + (-8 \\cdot -11)",
["typ"] = "plus" },
["render"] = "8 + 13 + (-8 \\cdot -11)",
["typ"] = "plus" },
["render"] = "\\frac{12}{8 + 13 + (-8 \\cdot -11)}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.43, bodu=104, $$\frac{10 - (3\frac{4}{10} + (-6))}{2\frac{3}{6} - (-8 - 2\frac{4}{8})}=\textcolor{white}{\frac{63}{65}}$$return {
["body"] = 104,
["id"] = "hZ2w6z_1222_0532",
["obtiznost"] = 1.03,
["reseni"] = {
["float"] = 0.96923076923077,
["objekt"] = {
["hodnota"] = {
["citatel"] = 63,
["jmenovatel"] = 65 },
["render"] = "\\frac{63}{65}",
["typ"] = "cislo" },
["tex"] = "\\frac{63}{65}",
["y"] = 63,
["z"] = 65 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.43",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} + (-6)",
["typ"] = "plus" },
["render"] = "(3\\frac{4}{10} + (-6))",
["typ"] = "zavorka" },
["render"] = "10 - (3\\frac{4}{10} + (-6))",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "-8 - 2\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "(-8 - 2\\frac{4}{8})",
["typ"] = "zavorka" },
["render"] = "2\\frac{3}{6} - (-8 - 2\\frac{4}{8})",
["typ"] = "minus" },
["render"] = "\\frac{10 - (3\\frac{4}{10} + (-6))}{2\\frac{3}{6} - (-8 - 2\\frac{4}{8})}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.44, bodu=57, $$(-9 - (\frac{12}{8})^3 \cdot 3\frac{4}{8}) \cdot 4=\textcolor{white}{-83{,}25}$$return {
["body"] = 57,
["id"] = "yHp8Zx_1222_0532",
["obtiznost"] = 0.654,
["reseni"] = {
["float"] = -83.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -333,
["jmenovatel"] = 4 },
["render"] = "\\frac{-1332}{16}",
["typ"] = "cislo" },
["tex"] = "-83\\frac{1}{4}",
["tex_float"] = "-83{,}25",
["x"] = -83,
["y"] = 1,
["z"] = 4 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.44",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{12}{8}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{12}{8})^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "(\\frac{12}{8})^3 \\cdot 3\\frac{4}{8}",
["typ"] = "krat" },
["render"] = "-9 - (\\frac{12}{8})^3 \\cdot 3\\frac{4}{8}",
["typ"] = "minus" },
["render"] = "(-9 - (\\frac{12}{8})^3 \\cdot 3\\frac{4}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "(-9 - (\\frac{12}{8})^3 \\cdot 3\\frac{4}{8}) \\cdot 4",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.45, bodu=65, $$(-8 + 13 - 3\frac{5}{8})^2 \cdot 12 - (11 + 2)=\textcolor{white}{9\frac{11}{16}}$$return {
["body"] = 65,
["id"] = "tW9Wmq_1222_0532",
["obtiznost"] = 0.724,
["reseni"] = {
["float"] = 9.6875,
["objekt"] = {
["hodnota"] = {
["citatel"] = 155,
["jmenovatel"] = 16 },
["render"] = "\\frac{155}{16}",
["typ"] = "cislo" },
["tex"] = "9\\frac{11}{16}",
["x"] = 9,
["y"] = 11,
["z"] = 16 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.45",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 8 },
["render"] = "3\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "13 - 3\\frac{5}{8}",
["typ"] = "minus" },
["render"] = "-8 + 13 - 3\\frac{5}{8}",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-8 + 13 - 3\\frac{5}{8})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "(-8 + 13 - 3\\frac{5}{8})^2 \\cdot 12",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["render"] = "11 + 2",
["typ"] = "plus" },
["render"] = "(11 + 2)",
["typ"] = "zavorka" },
["render"] = "(-8 + 13 - 3\\frac{5}{8})^2 \\cdot 12 - (11 + 2)",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.46, bodu=38, $$\frac{6}{\frac{-9 + (-14)}{-10 \cdot -4}}=\textcolor{white}{-10\frac{10}{23}}$$return {
["body"] = 38,
["id"] = "pc0WYs_1222_0532",
["obtiznost"] = 0.46,
["reseni"] = {
["float"] = -10.434782608696,
["objekt"] = {
["hodnota"] = {
["citatel"] = -240,
["jmenovatel"] = 23 },
["render"] = "\\frac{240}{-23}",
["typ"] = "cislo" },
["tex"] = "-10\\frac{10}{23}",
["x"] = -10,
["y"] = 10,
["z"] = 23 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.46",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["render"] = "-9 + (-14)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-10 \\cdot -4",
["typ"] = "krat" },
["render"] = "\\frac{-9 + (-14)}{-10 \\cdot -4}",
["typ"] = "lomeno" },
["render"] = "\\frac{6}{\\frac{-9 + (-14)}{-10 \\cdot -4}}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.47, bodu=38, $$\frac{\frac{13}{6 + 5} + (-9 + (-6))}{12}=\textcolor{white}{-1\frac{5}{33}}$$return {
["body"] = 38,
["id"] = "i0Y5Io_1222_0532",
["obtiznost"] = 0.47,
["reseni"] = {
["float"] = -1.1515151515152,
["objekt"] = {
["hodnota"] = {
["citatel"] = -38,
["jmenovatel"] = 33 },
["render"] = "\\frac{-152}{132}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{5}{33}",
["x"] = -1,
["y"] = 5,
["z"] = 33 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.47",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["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"] = "plus" },
["render"] = "\\frac{13}{6 + 5}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-9 + (-6)",
["typ"] = "plus" },
["render"] = "\\frac{13}{6 + 5} + (-9 + (-6))",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{13}{6 + 5} + (-9 + (-6))}{12}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.48, bodu=60, $$\frac{-5}{\frac{4\frac{5}{10}}{-8} \cdot -13}=\textcolor{white}{-\frac{80}{117}}$$return {
["body"] = 60,
["id"] = "4hFVgH_1222_0532",
["obtiznost"] = 0.68,
["reseni"] = {
["float"] = -0.68376068376068,
["objekt"] = {
["hodnota"] = {
["citatel"] = -80,
["jmenovatel"] = 117 },
["render"] = "\\frac{-80}{117}",
["typ"] = "cislo" },
["tex"] = "-\\frac{80}{117}",
["y"] = -80,
["z"] = 117 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.48",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{10}}{-8}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{10}}{-8} \\cdot -13",
["typ"] = "krat" },
["render"] = "\\frac{-5}{\\frac{4\\frac{5}{10}}{-8} \\cdot -13}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.49, bodu=69, $$\frac{16 - (-10 - 3)^2}{\frac{11}{4\frac{3}{8}}}=\textcolor{white}{-60\frac{75}{88}}$$return {
["body"] = 69,
["id"] = "e123L4_1222_0532",
["obtiznost"] = 0.758,
["reseni"] = {
["float"] = -60.852272727273,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5355,
["jmenovatel"] = 88 },
["render"] = "\\frac{-5355}{88}",
["typ"] = "cislo" },
["tex"] = "-60\\frac{75}{88}",
["x"] = -60,
["y"] = 75,
["z"] = 88 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.49",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-10 - 3",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(-10 - 3)^2",
["typ"] = "mocnina" },
["render"] = "16 - (-10 - 3)^2",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{4\\frac{3}{8}}",
["typ"] = "lomeno" },
["render"] = "\\frac{16 - (-10 - 3)^2}{\\frac{11}{4\\frac{3}{8}}}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.5, bodu=62, $$\frac{8}{(-5 - \frac{4\frac{5}{7}}{10}) \cdot 9}=\textcolor{white}{-\frac{560}{3447}}$$return {
["body"] = 62,
["id"] = "1Sh3Pf_1222_0532",
["obtiznost"] = 0.7,
["reseni"] = {
["float"] = -0.16246011024079,
["objekt"] = {
["hodnota"] = {
["citatel"] = -560,
["jmenovatel"] = 3447 },
["render"] = "\\frac{560}{-3447}",
["typ"] = "cislo" },
["tex"] = "-\\frac{560}{3447}",
["y"] = -560,
["z"] = 3447 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.5",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{7}}{10}",
["typ"] = "lomeno" },
["render"] = "-5 - \\frac{4\\frac{5}{7}}{10}",
["typ"] = "minus" },
["render"] = "(-5 - \\frac{4\\frac{5}{7}}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "(-5 - \\frac{4\\frac{5}{7}}{10}) \\cdot 9",
["typ"] = "krat" },
["render"] = "\\frac{8}{(-5 - \\frac{4\\frac{5}{7}}{10}) \\cdot 9}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.51, bodu=63, $$\frac{12}{4\frac{3}{8} + (-11) + 8 \cdot 14}=\textcolor{white}{\frac{32}{281}}$$return {
["body"] = 63,
["id"] = "lnINk8_1222_0532",
["obtiznost"] = 0.71,
["reseni"] = {
["float"] = 0.11387900355872,
["objekt"] = {
["hodnota"] = {
["citatel"] = 32,
["jmenovatel"] = 281 },
["render"] = "\\frac{96}{843}",
["typ"] = "cislo" },
["tex"] = "\\frac{32}{281}",
["y"] = 32,
["z"] = 281 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.51",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 35,
["jmenovatel"] = 8 },
["render"] = "4\\frac{3}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{8} + (-11)",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "8 \\cdot 14",
["typ"] = "krat" },
["render"] = "4\\frac{3}{8} + (-11) + 8 \\cdot 14",
["typ"] = "plus" },
["render"] = "\\frac{12}{4\\frac{3}{8} + (-11) + 8 \\cdot 14}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.52, bodu=89, $$9 - 12 \cdot (4\frac{5}{11} - (10 + 2\frac{1}{5}))=\textcolor{white}{101\frac{52}{55}}$$return {
["body"] = 89,
["id"] = "Wlbjn8_1222_0532",
["obtiznost"] = 0.92,
["reseni"] = {
["float"] = 101.94545454545,
["objekt"] = {
["hodnota"] = {
["citatel"] = 5607,
["jmenovatel"] = 55 },
["render"] = "\\frac{5607}{55}",
["typ"] = "cislo" },
["tex"] = "101\\frac{52}{55}",
["x"] = 101,
["y"] = 52,
["z"] = 55 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.52",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 49,
["jmenovatel"] = 11 },
["render"] = "4\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "10 + 2\\frac{1}{5}",
["typ"] = "plus" },
["render"] = "(10 + 2\\frac{1}{5})",
["typ"] = "zavorka" },
["render"] = "4\\frac{5}{11} - (10 + 2\\frac{1}{5})",
["typ"] = "minus" },
["render"] = "(4\\frac{5}{11} - (10 + 2\\frac{1}{5}))",
["typ"] = "zavorka" },
["render"] = "12 \\cdot (4\\frac{5}{11} - (10 + 2\\frac{1}{5}))",
["typ"] = "krat" },
["render"] = "9 - 12 \\cdot (4\\frac{5}{11} - (10 + 2\\frac{1}{5}))",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.53, bodu=66, $$\frac{\frac{4}{12 - 3\frac{2}{8} - (-6)}}{8}=\textcolor{white}{\frac{2}{59}}$$return {
["body"] = 66,
["id"] = "daNfCQ_1222_0532",
["obtiznost"] = 0.73,
["reseni"] = {
["float"] = 0.033898305084746,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 59 },
["render"] = "\\frac{16}{472}",
["typ"] = "cislo" },
["tex"] = "\\frac{2}{59}",
["y"] = 2,
["z"] = 59 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.53",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["render"] = "12 - 3\\frac{2}{8}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "12 - 3\\frac{2}{8} - (-6)",
["typ"] = "minus" },
["render"] = "\\frac{4}{12 - 3\\frac{2}{8} - (-6)}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4}{12 - 3\\frac{2}{8} - (-6)}}{8}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.54, bodu=74, $$3\frac{4}{10} - (-11) - (-8 \cdot (\frac{11}{6})^2)=\textcolor{white}{41\frac{13}{45}}$$return {
["body"] = 74,
["id"] = "G9X7jh_1222_0532",
["obtiznost"] = 0.8028,
["reseni"] = {
["float"] = 41.288888888889,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1858,
["jmenovatel"] = 45 },
["render"] = "\\frac{1858}{45}",
["typ"] = "cislo" },
["tex"] = "41\\frac{13}{45}",
["x"] = 41,
["y"] = 13,
["z"] = 45 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.54",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 5 },
["render"] = "3\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{10} - (-11)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "\\frac{11}{6}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{11}{6})^2",
["typ"] = "mocnina" },
["render"] = "-8 \\cdot (\\frac{11}{6})^2",
["typ"] = "krat" },
["render"] = "3\\frac{4}{10} - (-11) - (-8 \\cdot (\\frac{11}{6})^2)",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.55, bodu=68, $$\frac{-9 \cdot -4}{-4 \cdot (9 - 1\frac{2}{8})}=\textcolor{white}{-1\frac{5}{31}}$$return {
["body"] = 68,
["id"] = "V4Z0Ic_1222_0532",
["obtiznost"] = 0.75,
["reseni"] = {
["float"] = -1.1612903225806,
["objekt"] = {
["hodnota"] = {
["citatel"] = -36,
["jmenovatel"] = 31 },
["render"] = "\\frac{36}{-31}",
["typ"] = "cislo" },
["tex"] = "-1\\frac{5}{31}",
["x"] = -1,
["y"] = 5,
["z"] = 31 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.55",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "-9 \\cdot -4",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["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 - 1\\frac{2}{8}",
["typ"] = "minus" },
["render"] = "(9 - 1\\frac{2}{8})",
["typ"] = "zavorka" },
["render"] = "-4 \\cdot (9 - 1\\frac{2}{8})",
["typ"] = "krat" },
["render"] = "\\frac{-9 \\cdot -4}{-4 \\cdot (9 - 1\\frac{2}{8})}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.56, bodu=94, $$11 - (-10 - 5) - \frac{4\frac{5}{7}}{4\frac{2}{6}}=\textcolor{white}{24\frac{83}{91}}$$return {
["body"] = 94,
["id"] = "uNxqZP_1222_0532",
["obtiznost"] = 0.96,
["reseni"] = {
["float"] = 24.912087912088,
["objekt"] = {
["hodnota"] = {
["citatel"] = 2267,
["jmenovatel"] = 91 },
["render"] = "\\frac{2267}{91}",
["typ"] = "cislo" },
["tex"] = "24\\frac{83}{91}",
["x"] = 24,
["y"] = 83,
["z"] = 91 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.56",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["render"] = "-10 - 5",
["typ"] = "minus" },
["render"] = "(-10 - 5)",
["typ"] = "zavorka" },
["render"] = "11 - (-10 - 5)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 7 },
["render"] = "4\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{7}}{4\\frac{2}{6}}",
["typ"] = "lomeno" },
["render"] = "11 - (-10 - 5) - \\frac{4\\frac{5}{7}}{4\\frac{2}{6}}",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.57, bodu=120, $$-8 \cdot (2\frac{2}{6} \cdot 4\frac{3}{6})^2 \cdot -12=\textcolor{white}{10584}$$return {
["body"] = 120,
["id"] = "sTTrRZ_1222_0532",
["obtiznost"] = 1.148,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 10584,
["jmenovatel"] = 1 },
["render"] = "\\frac{10584}{1}",
["typ"] = "cislo" },
["tex"] = "10584",
["tex_float"] = "10584",
["x"] = 10584 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.57",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{6} \\cdot 4\\frac{3}{6}",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(2\\frac{2}{6} \\cdot 4\\frac{3}{6})^2",
["typ"] = "mocnina" },
["render"] = "-8 \\cdot (2\\frac{2}{6} \\cdot 4\\frac{3}{6})^2",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-8 \\cdot (2\\frac{2}{6} \\cdot 4\\frac{3}{6})^2 \\cdot -12",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.58, bodu=125, $$\frac{-11 + 1\frac{5}{9} - 2\frac{1}{3}}{\frac{4\frac{5}{6}}{-7}}=\textcolor{white}{17\frac{5}{87}}$$return {
["body"] = 125,
["id"] = "WkaRmF_1222_0532",
["obtiznost"] = 1.18,
["reseni"] = {
["float"] = 17.057471264368,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1484,
["jmenovatel"] = 87 },
["render"] = "\\frac{-4452}{-261}",
["typ"] = "cislo" },
["tex"] = "17\\frac{5}{87}",
["x"] = 17,
["y"] = 5,
["z"] = 87 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.58",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 9 },
["render"] = "1\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{9} - 2\\frac{1}{3}",
["typ"] = "minus" },
["render"] = "-11 + 1\\frac{5}{9} - 2\\frac{1}{3}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 29,
["jmenovatel"] = 6 },
["render"] = "4\\frac{5}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{5}{6}}{-7}",
["typ"] = "lomeno" },
["render"] = "\\frac{-11 + 1\\frac{5}{9} - 2\\frac{1}{3}}{\\frac{4\\frac{5}{6}}{-7}}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.59, bodu=83, $$(9 - 3)^3 \cdot 1\frac{2}{9} + 8 - 10=\textcolor{white}{262}$$return {
["body"] = 83,
["id"] = "TdB0TB_1222_0532",
["obtiznost"] = 0.8768,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 262,
["jmenovatel"] = 1 },
["render"] = "\\frac{262}{1}",
["typ"] = "cislo" },
["tex"] = "262",
["x"] = 262 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.59",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "9 - 3",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(9 - 3)^3",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "(9 - 3)^3 \\cdot 1\\frac{2}{9}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "8 - 10",
["typ"] = "minus" },
["render"] = "(9 - 3)^3 \\cdot 1\\frac{2}{9} + 8 - 10",
["typ"] = "plus" } }
seed: btriNf7Iy7SanBG6QyVd_0.6, bodu=51, $$-7 - (-12 + \frac{-15}{13} - 9) - (-11)=\textcolor{white}{26\frac{2}{13}}$$return {
["body"] = 51,
["id"] = "NV2dMG_1222_0532",
["obtiznost"] = 0.6,
["reseni"] = {
["float"] = 26.153846153846,
["objekt"] = {
["hodnota"] = {
["citatel"] = 340,
["jmenovatel"] = 13 },
["render"] = "\\frac{340}{13}",
["typ"] = "cislo" },
["tex"] = "26\\frac{2}{13}",
["x"] = 26,
["y"] = 2,
["z"] = 13 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.6",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{-15}{13} - 9",
["typ"] = "minus" },
["render"] = "-12 + \\frac{-15}{13} - 9",
["typ"] = "plus" },
["render"] = "(-12 + \\frac{-15}{13} - 9)",
["typ"] = "zavorka" },
["render"] = "-7 - (-12 + \\frac{-15}{13} - 9)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-7 - (-12 + \\frac{-15}{13} - 9) - (-11)",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.61, bodu=101, $$-19 \cdot (\frac{1\frac{1}{8}}{2\frac{2}{9} + (-19)} + (-12 \cdot -16))=\textcolor{white}{-3646\frac{877}{1208}}$$return {
["body"] = 101,
["id"] = "ZDFg05_1222_0532",
["obtiznost"] = 1.01,
["reseni"] = {
["float"] = -3646.7259933775,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4405245,
["jmenovatel"] = 1208 },
["render"] = "\\frac{-4405245}{1208}",
["typ"] = "cislo" },
["tex"] = "-3646\\frac{877}{1208}",
["x"] = -3646,
["y"] = 877,
["z"] = 1208 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.61",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} + (-19)",
["typ"] = "plus" },
["render"] = "\\frac{1\\frac{1}{8}}{2\\frac{2}{9} + (-19)}",
["typ"] = "lomeno" },
["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"] = "\\frac{1\\frac{1}{8}}{2\\frac{2}{9} + (-19)} + (-12 \\cdot -16)",
["typ"] = "plus" },
["render"] = "(\\frac{1\\frac{1}{8}}{2\\frac{2}{9} + (-19)} + (-12 \\cdot -16))",
["typ"] = "zavorka" },
["render"] = "-19 \\cdot (\\frac{1\\frac{1}{8}}{2\\frac{2}{9} + (-19)} + (-12 \\cdot -16))",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.62, bodu=145, $$-15 \cdot (2\frac{2}{8} \cdot 12)^2 \cdot 3\frac{5}{7} \cdot 9=\textcolor{white}{-365541\frac{3}{7}}$$return {
["body"] = 145,
["id"] = "Yswyft_1222_0532",
["obtiznost"] = 1.312,
["reseni"] = {
["float"] = -365541.42857143,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2558790,
["jmenovatel"] = 7 },
["render"] = "\\frac{-2558790}{7}",
["typ"] = "cislo" },
["tex"] = "-365541\\frac{3}{7}",
["x"] = -365541,
["y"] = 3,
["z"] = 7 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.62",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{8} \\cdot 12",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(2\\frac{2}{8} \\cdot 12)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 7 },
["render"] = "3\\frac{5}{7}",
["typ"] = "cislo" },
["render"] = "(2\\frac{2}{8} \\cdot 12)^2 \\cdot 3\\frac{5}{7}",
["typ"] = "krat" },
["render"] = "-15 \\cdot (2\\frac{2}{8} \\cdot 12)^2 \\cdot 3\\frac{5}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "-15 \\cdot (2\\frac{2}{8} \\cdot 12)^2 \\cdot 3\\frac{5}{7} \\cdot 9",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.63, bodu=132, $$\frac{12 - \frac{-9}{2\frac{2}{7}}}{2\frac{2}{5} \cdot 4\frac{2}{6}}=\textcolor{white}{1\frac{443}{832}}$$return {
["body"] = 132,
["id"] = "T7QBGT_1222_0532",
["obtiznost"] = 1.23,
["reseni"] = {
["float"] = 1.5324519230769,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1275,
["jmenovatel"] = 832 },
["render"] = "\\frac{1275}{832}",
["typ"] = "cislo" },
["tex"] = "1\\frac{443}{832}",
["x"] = 1,
["y"] = 443,
["z"] = 832 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.63",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 7 },
["render"] = "2\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{2\\frac{2}{7}}",
["typ"] = "lomeno" },
["render"] = "12 - \\frac{-9}{2\\frac{2}{7}}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{5}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{5} \\cdot 4\\frac{2}{6}",
["typ"] = "krat" },
["render"] = "\\frac{12 - \\frac{-9}{2\\frac{2}{7}}}{2\\frac{2}{5} \\cdot 4\\frac{2}{6}}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.64, bodu=154, $$16 - (-6 + 1\frac{4}{6}) + (\frac{-9}{3\frac{2}{6}})^2 \cdot -9=\textcolor{white}{-45\frac{83}{300}}$$return {
["body"] = 154,
["id"] = "znYvjy_1222_0532",
["obtiznost"] = 1.3716,
["reseni"] = {
["float"] = -45.276666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = -13583,
["jmenovatel"] = 300 },
["render"] = "\\frac{-13583}{300}",
["typ"] = "cislo" },
["tex"] = "-45\\frac{83}{300}",
["x"] = -45,
["y"] = 83,
["z"] = 300 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.64",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{6}",
["typ"] = "cislo" },
["render"] = "-6 + 1\\frac{4}{6}",
["typ"] = "plus" },
["render"] = "(-6 + 1\\frac{4}{6})",
["typ"] = "zavorka" },
["render"] = "16 - (-6 + 1\\frac{4}{6})",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-9}{3\\frac{2}{6}}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-9}{3\\frac{2}{6}})^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "(\\frac{-9}{3\\frac{2}{6}})^2 \\cdot -9",
["typ"] = "krat" },
["render"] = "16 - (-6 + 1\\frac{4}{6}) + (\\frac{-9}{3\\frac{2}{6}})^2 \\cdot -9",
["typ"] = "plus" } }
seed: btriNf7Iy7SanBG6QyVd_0.65, bodu=80, $$(-10 + 11)^2 \cdot 11 - (10 + 4\frac{4}{10}) - 14=\textcolor{white}{-17{,}4}$$return {
["body"] = 80,
["id"] = "RT4JQW_1222_0532",
["obtiznost"] = 0.8508,
["reseni"] = {
["float"] = -17.4,
["objekt"] = {
["hodnota"] = {
["citatel"] = -87,
["jmenovatel"] = 5 },
["render"] = "\\frac{-87}{5}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{2}{5}",
["tex_float"] = "-17{,}4",
["x"] = -17,
["y"] = 2,
["z"] = 5 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.65",
["zadani"] = {
["c1"] = {
["c1"] = {
["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"] = 2,
["render"] = "(-10 + 11)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "(-10 + 11)^2 \\cdot 11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "10 + 4\\frac{4}{10}",
["typ"] = "plus" },
["render"] = "(10 + 4\\frac{4}{10})",
["typ"] = "zavorka" },
["render"] = "(-10 + 11)^2 \\cdot 11 - (10 + 4\\frac{4}{10})",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "(-10 + 11)^2 \\cdot 11 - (10 + 4\\frac{4}{10}) - 14",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.66, bodu=108, $$-18 \cdot -11 - (\frac{2\frac{5}{11} + 1\frac{5}{8}}{-11} + (-16))=\textcolor{white}{214\frac{359}{968}}$$return {
["body"] = 108,
["id"] = "t1Smvx_1222_0532",
["obtiznost"] = 1.06,
["reseni"] = {
["float"] = 214.3708677686,
["objekt"] = {
["hodnota"] = {
["citatel"] = 207511,
["jmenovatel"] = 968 },
["render"] = "\\frac{207511}{968}",
["typ"] = "cislo" },
["tex"] = "214\\frac{359}{968}",
["x"] = 214,
["y"] = 359,
["z"] = 968 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.66",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "-18 \\cdot -11",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{11} + 1\\frac{5}{8}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{11} + 1\\frac{5}{8}}{-11}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{5}{11} + 1\\frac{5}{8}}{-11} + (-16)",
["typ"] = "plus" },
["render"] = "(\\frac{2\\frac{5}{11} + 1\\frac{5}{8}}{-11} + (-16))",
["typ"] = "zavorka" },
["render"] = "-18 \\cdot -11 - (\\frac{2\\frac{5}{11} + 1\\frac{5}{8}}{-11} + (-16))",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.67, bodu=109, $$-6 - 3\frac{5}{10} \cdot -16 - 2\frac{4}{10} \cdot 12=\textcolor{white}{21{,}2}$$return {
["body"] = 109,
["id"] = "ObUB5l_1222_0532",
["obtiznost"] = 1.07,
["reseni"] = {
["float"] = 21.2,
["objekt"] = {
["hodnota"] = {
["citatel"] = 106,
["jmenovatel"] = 5 },
["render"] = "\\frac{106}{5}",
["typ"] = "cislo" },
["tex"] = "21\\frac{1}{5}",
["tex_float"] = "21{,}2",
["x"] = 21,
["y"] = 1,
["z"] = 5 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.67",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "3\\frac{5}{10} \\cdot -16",
["typ"] = "krat" },
["render"] = "-6 - 3\\frac{5}{10} \\cdot -16",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} \\cdot 12",
["typ"] = "krat" },
["render"] = "-6 - 3\\frac{5}{10} \\cdot -16 - 2\\frac{4}{10} \\cdot 12",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.68, bodu=140, $$2\frac{4}{11} - \frac{2\frac{1}{7}}{12} \cdot 15 \cdot 3\frac{5}{10}=\textcolor{white}{-7\frac{1}{88}}$$return {
["body"] = 140,
["id"] = "23AvBq_1222_0532",
["obtiznost"] = 1.28,
["reseni"] = {
["float"] = -7.0113636363636,
["objekt"] = {
["hodnota"] = {
["citatel"] = -617,
["jmenovatel"] = 88 },
["render"] = "\\frac{-617}{88}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{1}{88}",
["x"] = -7,
["y"] = 1,
["z"] = 88 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.68",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 26,
["jmenovatel"] = 11 },
["render"] = "2\\frac{4}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 7 },
["render"] = "2\\frac{1}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{7}}{12}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{7}}{12} \\cdot 15",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{1}{7}}{12} \\cdot 15 \\cdot 3\\frac{5}{10}",
["typ"] = "krat" },
["render"] = "2\\frac{4}{11} - \\frac{2\\frac{1}{7}}{12} \\cdot 15 \\cdot 3\\frac{5}{10}",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.69, bodu=112, $$(-10 + (-15)) \cdot (3\frac{2}{8} + (-12)) - (-4) - 4\frac{2}{7}=\textcolor{white}{218\frac{13}{28}}$$return {
["body"] = 112,
["id"] = "Jepcbj_1222_0532",
["obtiznost"] = 1.09,
["reseni"] = {
["float"] = 218.46428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = 6117,
["jmenovatel"] = 28 },
["render"] = "\\frac{6117}{28}",
["typ"] = "cislo" },
["tex"] = "218\\frac{13}{28}",
["x"] = 218,
["y"] = 13,
["z"] = 28 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.69",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "-10 + (-15)",
["typ"] = "plus" },
["render"] = "(-10 + (-15))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 4 },
["render"] = "3\\frac{2}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "3\\frac{2}{8} + (-12)",
["typ"] = "plus" },
["render"] = "(3\\frac{2}{8} + (-12))",
["typ"] = "zavorka" },
["render"] = "(-10 + (-15)) \\cdot (3\\frac{2}{8} + (-12))",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "(-10 + (-15)) \\cdot (3\\frac{2}{8} + (-12)) - (-4)",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "(-10 + (-15)) \\cdot (3\\frac{2}{8} + (-12)) - (-4) - 4\\frac{2}{7}",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.7, bodu=113, $$\frac{16 + \frac{1\frac{2}{11}}{-15}}{\frac{16}{1\frac{5}{12}}}=\textcolor{white}{1\frac{12979}{31680}}$$return {
["body"] = 113,
["id"] = "JQ9Df0_1222_0532",
["obtiznost"] = 1.1,
["reseni"] = {
["float"] = 1.4096906565657,
["objekt"] = {
["hodnota"] = {
["citatel"] = 44659,
["jmenovatel"] = 31680 },
["render"] = "\\frac{44659}{31680}",
["typ"] = "cislo" },
["tex"] = "1\\frac{12979}{31680}",
["x"] = 1,
["y"] = 12979,
["z"] = 31680 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.7",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 11 },
["render"] = "1\\frac{2}{11}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{2}{11}}{-15}",
["typ"] = "lomeno" },
["render"] = "16 + \\frac{1\\frac{2}{11}}{-15}",
["typ"] = "plus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 1 },
["render"] = "16",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 12 },
["render"] = "1\\frac{5}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{16}{1\\frac{5}{12}}",
["typ"] = "lomeno" },
["render"] = "\\frac{16 + \\frac{1\\frac{2}{11}}{-15}}{\\frac{16}{1\\frac{5}{12}}}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.71, bodu=144, $$4\frac{1}{3} \cdot (-15 + 3) \cdot 2\frac{4}{13} + 7 + 2\frac{2}{9}=\textcolor{white}{-110\frac{7}{9}}$$return {
["body"] = 144,
["id"] = "U8ofch_1222_0532",
["obtiznost"] = 1.31,
["reseni"] = {
["float"] = -110.77777777778,
["objekt"] = {
["hodnota"] = {
["citatel"] = -997,
["jmenovatel"] = 9 },
["render"] = "\\frac{-997}{9}",
["typ"] = "cislo" },
["tex"] = "-110\\frac{7}{9}",
["x"] = -110,
["y"] = 7,
["z"] = 9 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.71",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "-15 + 3",
["typ"] = "plus" },
["render"] = "(-15 + 3)",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 13 },
["render"] = "2\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "(-15 + 3) \\cdot 2\\frac{4}{13}",
["typ"] = "krat" },
["render"] = "4\\frac{1}{3} \\cdot (-15 + 3) \\cdot 2\\frac{4}{13}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "7 + 2\\frac{2}{9}",
["typ"] = "plus" },
["render"] = "4\\frac{1}{3} \\cdot (-15 + 3) \\cdot 2\\frac{4}{13} + 7 + 2\\frac{2}{9}",
["typ"] = "plus" } }
seed: btriNf7Iy7SanBG6QyVd_0.72, bodu=178, $$\frac{3\frac{5}{10}}{4\frac{4}{10}} \cdot (-15 - 4\frac{5}{10}) \cdot 1\frac{3}{7}=\textcolor{white}{-22\frac{7}{44}}$$return {
["body"] = 178,
["id"] = "SjKiU3_1222_0532",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -22.159090909091,
["objekt"] = {
["hodnota"] = {
["citatel"] = -975,
["jmenovatel"] = 44 },
["render"] = "\\frac{-6825}{308}",
["typ"] = "cislo" },
["tex"] = "-22\\frac{7}{44}",
["x"] = -22,
["y"] = 7,
["z"] = 44 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.72",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 5 },
["render"] = "4\\frac{4}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{5}{10}}{4\\frac{4}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "-15 - 4\\frac{5}{10}",
["typ"] = "minus" },
["render"] = "(-15 - 4\\frac{5}{10})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 7 },
["render"] = "1\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "(-15 - 4\\frac{5}{10}) \\cdot 1\\frac{3}{7}",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{5}{10}}{4\\frac{4}{10}} \\cdot (-15 - 4\\frac{5}{10}) \\cdot 1\\frac{3}{7}",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.73, bodu=90, $$(11 \cdot (\frac{-14}{2\frac{2}{6}} \cdot (-12 + 12)^4)^4)^2=\textcolor{white}{0}$$return {
["body"] = 90,
["id"] = "QMc6Tz_1222_0532",
["obtiznost"] = 0.9312,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = 0,
["jmenovatel"] = 1 },
["render"] = "\\frac{0}{1}",
["typ"] = "cislo" },
["tex"] = "0",
["x"] = 0 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.73",
["zadani"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{2}{6}",
["typ"] = "cislo" },
["render"] = "\\frac{-14}{2\\frac{2}{6}}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "-12 + 12",
["typ"] = "plus" },
["mocnitel"] = 4,
["render"] = "(-12 + 12)^4",
["typ"] = "mocnina" },
["render"] = "\\frac{-14}{2\\frac{2}{6}} \\cdot (-12 + 12)^4",
["typ"] = "krat" },
["mocnitel"] = 4,
["render"] = "(\\frac{-14}{2\\frac{2}{6}} \\cdot (-12 + 12)^4)^4",
["typ"] = "mocnina" },
["render"] = "11 \\cdot (\\frac{-14}{2\\frac{2}{6}} \\cdot (-12 + 12)^4)^4",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(11 \\cdot (\\frac{-14}{2\\frac{2}{6}} \\cdot (-12 + 12)^4)^4)^2",
["typ"] = "mocnina" } }
seed: btriNf7Iy7SanBG6QyVd_0.74, bodu=92, $$17 - (-17 + 11 + 1\frac{4}{7}) \cdot -15 \cdot 11=\textcolor{white}{-713\frac{5}{7}}$$return {
["body"] = 92,
["id"] = "Pm86FG_1222_0532",
["obtiznost"] = 0.94,
["reseni"] = {
["float"] = -713.71428571429,
["objekt"] = {
["hodnota"] = {
["citatel"] = -4996,
["jmenovatel"] = 7 },
["render"] = "\\frac{-4996}{7}",
["typ"] = "cislo" },
["tex"] = "-713\\frac{5}{7}",
["x"] = -713,
["y"] = 5,
["z"] = 7 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.74",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 7 },
["render"] = "1\\frac{4}{7}",
["typ"] = "cislo" },
["render"] = "11 + 1\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "-17 + 11 + 1\\frac{4}{7}",
["typ"] = "plus" },
["render"] = "(-17 + 11 + 1\\frac{4}{7})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 11",
["typ"] = "krat" },
["render"] = "(-17 + 11 + 1\\frac{4}{7}) \\cdot -15 \\cdot 11",
["typ"] = "krat" },
["render"] = "17 - (-17 + 11 + 1\\frac{4}{7}) \\cdot -15 \\cdot 11",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.75, bodu=120, $$-19 \cdot \frac{1\frac{3}{9}}{-8} + (-4 \cdot 3\frac{2}{7})=\textcolor{white}{-9\frac{41}{42}}$$return {
["body"] = 120,
["id"] = "C3XUxt_1222_0532",
["obtiznost"] = 1.15,
["reseni"] = {
["float"] = -9.9761904761905,
["objekt"] = {
["hodnota"] = {
["citatel"] = -419,
["jmenovatel"] = 42 },
["render"] = "\\frac{-419}{42}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{41}{42}",
["x"] = -9,
["y"] = 41,
["z"] = 42 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.75",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "\\frac{1\\frac{3}{9}}{-8}",
["typ"] = "lomeno" },
["render"] = "-19 \\cdot \\frac{1\\frac{3}{9}}{-8}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 7 },
["render"] = "3\\frac{2}{7}",
["typ"] = "cislo" },
["render"] = "-4 \\cdot 3\\frac{2}{7}",
["typ"] = "krat" },
["render"] = "-19 \\cdot \\frac{1\\frac{3}{9}}{-8} + (-4 \\cdot 3\\frac{2}{7})",
["typ"] = "plus" } }
seed: btriNf7Iy7SanBG6QyVd_0.76, bodu=124, $$\frac{(2\frac{5}{10} - 14)^2}{15} - \frac{-3}{7}=\textcolor{white}{9\frac{103}{420}}$$return {
["body"] = 124,
["id"] = "tcmUXe_1222_0532",
["obtiznost"] = 1.1732,
["reseni"] = {
["float"] = 9.2452380952381,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3883,
["jmenovatel"] = 420 },
["render"] = "\\frac{3883}{420}",
["typ"] = "cislo" },
["tex"] = "9\\frac{103}{420}",
["x"] = 9,
["y"] = 103,
["z"] = 420 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.76",
["zadani"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{10} - 14",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{5}{10} - 14)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["render"] = "\\frac{(2\\frac{5}{10} - 14)^2}{15}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -3,
["jmenovatel"] = 1 },
["render"] = "-3",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "\\frac{-3}{7}",
["typ"] = "lomeno" },
["render"] = "\\frac{(2\\frac{5}{10} - 14)^2}{15} - \\frac{-3}{7}",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.77, bodu=154, $$18 \cdot 2\frac{5}{11} \cdot (2\frac{4}{6} + 3\frac{4}{6} \cdot -4)=\textcolor{white}{-530\frac{2}{11}}$$return {
["body"] = 154,
["id"] = "m93PFQ_1222_0532",
["obtiznost"] = 1.37,
["reseni"] = {
["float"] = -530.18181818182,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5832,
["jmenovatel"] = 11 },
["render"] = "\\frac{-5832}{11}",
["typ"] = "cislo" },
["tex"] = "-530\\frac{2}{11}",
["x"] = -530,
["y"] = 2,
["z"] = 11 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.77",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 11 },
["render"] = "2\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "18 \\cdot 2\\frac{5}{11}",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 3 },
["render"] = "2\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 3 },
["render"] = "3\\frac{4}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -4,
["jmenovatel"] = 1 },
["render"] = "-4",
["typ"] = "cislo" },
["render"] = "3\\frac{4}{6} \\cdot -4",
["typ"] = "krat" },
["render"] = "2\\frac{4}{6} + 3\\frac{4}{6} \\cdot -4",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{6} + 3\\frac{4}{6} \\cdot -4)",
["typ"] = "zavorka" },
["render"] = "18 \\cdot 2\\frac{5}{11} \\cdot (2\\frac{4}{6} + 3\\frac{4}{6} \\cdot -4)",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.78, bodu=146, $$(1\frac{1}{8} + (-6)) \cdot (\frac{2}{(\frac{5}{-9})^3} + (-12))=\textcolor{white}{115{,}362}$$return {
["body"] = 146,
["id"] = "IMA2Kn_1222_0532",
["obtiznost"] = 1.3216,
["reseni"] = {
["float"] = 115.362,
["objekt"] = {
["hodnota"] = {
["citatel"] = 57681,
["jmenovatel"] = 500 },
["render"] = "\\frac{115362}{1000}",
["typ"] = "cislo" },
["tex"] = "115\\frac{181}{500}",
["tex_float"] = "115{,}362",
["x"] = 115,
["y"] = 181,
["z"] = 500 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.78",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "1\\frac{1}{8} + (-6)",
["typ"] = "plus" },
["render"] = "(1\\frac{1}{8} + (-6))",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 2,
["jmenovatel"] = 1 },
["render"] = "2",
["typ"] = "cislo" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 1 },
["render"] = "5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{5}{-9}",
["typ"] = "lomeno" },
["mocnitel"] = 3,
["render"] = "(\\frac{5}{-9})^3",
["typ"] = "mocnina" },
["render"] = "\\frac{2}{(\\frac{5}{-9})^3}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "\\frac{2}{(\\frac{5}{-9})^3} + (-12)",
["typ"] = "plus" },
["render"] = "(\\frac{2}{(\\frac{5}{-9})^3} + (-12))",
["typ"] = "zavorka" },
["render"] = "(1\\frac{1}{8} + (-6)) \\cdot (\\frac{2}{(\\frac{5}{-9})^3} + (-12))",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.79, bodu=157, $$1\frac{1}{8} - 4 \cdot 2\frac{1}{11} - \frac{9}{4\frac{5}{15}}=\textcolor{white}{-9\frac{361}{1144}}$$return {
["body"] = 157,
["id"] = "Mm8c8i_1222_0532",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -9.3155594405594,
["objekt"] = {
["hodnota"] = {
["citatel"] = -10657,
["jmenovatel"] = 1144 },
["render"] = "\\frac{-10657}{1144}",
["typ"] = "cislo" },
["tex"] = "-9\\frac{361}{1144}",
["x"] = -9,
["y"] = 361,
["z"] = 1144 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.79",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 8 },
["render"] = "1\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 11 },
["render"] = "2\\frac{1}{11}",
["typ"] = "cislo" },
["render"] = "4 \\cdot 2\\frac{1}{11}",
["typ"] = "krat" },
["render"] = "1\\frac{1}{8} - 4 \\cdot 2\\frac{1}{11}",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{5}{15}",
["typ"] = "cislo" },
["render"] = "\\frac{9}{4\\frac{5}{15}}",
["typ"] = "lomeno" },
["render"] = "1\\frac{1}{8} - 4 \\cdot 2\\frac{1}{11} - \\frac{9}{4\\frac{5}{15}}",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.8, bodu=159, $$12 \cdot 9 + \frac{12 \cdot 2\frac{3}{7} - 4\frac{5}{9}}{4\frac{3}{12}}=\textcolor{white}{113\frac{841}{1071}}$$return {
["body"] = 159,
["id"] = "DIdwWy_1222_0532",
["obtiznost"] = 1.4,
["reseni"] = {
["float"] = 113.78524743231,
["objekt"] = {
["hodnota"] = {
["citatel"] = 121864,
["jmenovatel"] = 1071 },
["render"] = "\\frac{121864}{1071}",
["typ"] = "cislo" },
["tex"] = "113\\frac{841}{1071}",
["x"] = 113,
["y"] = 841,
["z"] = 1071 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.8",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "12 \\cdot 9",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 2\\frac{3}{7}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 41,
["jmenovatel"] = 9 },
["render"] = "4\\frac{5}{9}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 2\\frac{3}{7} - 4\\frac{5}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "\\frac{12 \\cdot 2\\frac{3}{7} - 4\\frac{5}{9}}{4\\frac{3}{12}}",
["typ"] = "lomeno" },
["render"] = "12 \\cdot 9 + \\frac{12 \\cdot 2\\frac{3}{7} - 4\\frac{5}{9}}{4\\frac{3}{12}}",
["typ"] = "plus" } }
seed: btriNf7Iy7SanBG6QyVd_0.81, bodu=160, $$2\frac{4}{5} \cdot (\frac{11}{4\frac{3}{13}} - (-5 \cdot 1\frac{4}{12} + (-6)))=\textcolor{white}{42\frac{56}{75}}$$return {
["body"] = 160,
["id"] = "ud2IH1_1222_0532",
["obtiznost"] = 1.41,
["reseni"] = {
["float"] = 42.746666666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3206,
["jmenovatel"] = 75 },
["render"] = "\\frac{3206}{75}",
["typ"] = "cislo" },
["tex"] = "42\\frac{56}{75}",
["x"] = 42,
["y"] = 56,
["z"] = 75 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.81",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{5}",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 55,
["jmenovatel"] = 13 },
["render"] = "4\\frac{3}{13}",
["typ"] = "cislo" },
["render"] = "\\frac{11}{4\\frac{3}{13}}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{4}{12}",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 1\\frac{4}{12}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -6,
["jmenovatel"] = 1 },
["render"] = "-6",
["typ"] = "cislo" },
["render"] = "-5 \\cdot 1\\frac{4}{12} + (-6)",
["typ"] = "plus" },
["render"] = "(-5 \\cdot 1\\frac{4}{12} + (-6))",
["typ"] = "zavorka" },
["render"] = "\\frac{11}{4\\frac{3}{13}} - (-5 \\cdot 1\\frac{4}{12} + (-6))",
["typ"] = "minus" },
["render"] = "(\\frac{11}{4\\frac{3}{13}} - (-5 \\cdot 1\\frac{4}{12} + (-6)))",
["typ"] = "zavorka" },
["render"] = "2\\frac{4}{5} \\cdot (\\frac{11}{4\\frac{3}{13}} - (-5 \\cdot 1\\frac{4}{12} + (-6)))",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.82, bodu=102, $$\frac{-14}{\frac{\frac{12 \cdot 1\frac{2}{9}}{13}}{14}}=\textcolor{white}{-173\frac{8}{11}}$$return {
["body"] = 102,
["id"] = "hvvTL9_1222_0532",
["obtiznost"] = 1.02,
["reseni"] = {
["float"] = -173.72727272727,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1911,
["jmenovatel"] = 11 },
["render"] = "\\frac{-3822}{22}",
["typ"] = "cislo" },
["tex"] = "-173\\frac{8}{11}",
["x"] = -173,
["y"] = 8,
["z"] = 11 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.82",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -14,
["jmenovatel"] = 1 },
["render"] = "-14",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 9 },
["render"] = "1\\frac{2}{9}",
["typ"] = "cislo" },
["render"] = "12 \\cdot 1\\frac{2}{9}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "\\frac{12 \\cdot 1\\frac{2}{9}}{13}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{12 \\cdot 1\\frac{2}{9}}{13}}{14}",
["typ"] = "lomeno" },
["render"] = "\\frac{-14}{\\frac{\\frac{12 \\cdot 1\\frac{2}{9}}{13}}{14}}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.83, bodu=104, $$(11 - 13)^3 + 2\frac{5}{8} \cdot -9 + (-19) + (-5 + (-12) + 17)^2=\textcolor{white}{-50{,}625}$$return {
["body"] = 104,
["id"] = "cOkCPr_1222_0532",
["obtiznost"] = 1.034,
["reseni"] = {
["float"] = -50.625,
["objekt"] = {
["hodnota"] = {
["citatel"] = -405,
["jmenovatel"] = 8 },
["render"] = "\\frac{-405}{8}",
["typ"] = "cislo" },
["tex"] = "-50\\frac{5}{8}",
["tex_float"] = "-50{,}625",
["x"] = -50,
["y"] = 5,
["z"] = 8 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.83",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "11 - 13",
["typ"] = "minus" },
["mocnitel"] = 3,
["render"] = "(11 - 13)^3",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 8 },
["render"] = "2\\frac{5}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{8} \\cdot -9",
["typ"] = "krat" },
["render"] = "(11 - 13)^3 + 2\\frac{5}{8} \\cdot -9",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "(11 - 13)^3 + 2\\frac{5}{8} \\cdot -9 + (-19)",
["typ"] = "plus" },
["c2"] = {
["c"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["render"] = "-5 + (-12)",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "-5 + (-12) + 17",
["typ"] = "plus" },
["mocnitel"] = 2,
["render"] = "(-5 + (-12) + 17)^2",
["typ"] = "mocnina" },
["render"] = "(11 - 13)^3 + 2\\frac{5}{8} \\cdot -9 + (-19) + (-5 + (-12) + 17)^2",
["typ"] = "plus" } }
seed: btriNf7Iy7SanBG6QyVd_0.84, bodu=165, $$\frac{11 \cdot 4\frac{3}{5} \cdot \frac{20 - 3\frac{3}{11}}{17}}{3\frac{2}{10}}=\textcolor{white}{15\frac{19}{34}}$$return {
["body"] = 165,
["id"] = "DyxUHu_1222_0532",
["obtiznost"] = 1.44,
["reseni"] = {
["float"] = 15.558823529412,
["objekt"] = {
["hodnota"] = {
["citatel"] = 529,
["jmenovatel"] = 34 },
["render"] = "\\frac{21160}{1360}",
["typ"] = "cislo" },
["tex"] = "15\\frac{19}{34}",
["x"] = 15,
["y"] = 19,
["z"] = 34 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.84",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 1 },
["render"] = "11",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 5 },
["render"] = "4\\frac{3}{5}",
["typ"] = "cislo" },
["render"] = "11 \\cdot 4\\frac{3}{5}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 36,
["jmenovatel"] = 11 },
["render"] = "3\\frac{3}{11}",
["typ"] = "cislo" },
["render"] = "20 - 3\\frac{3}{11}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["render"] = "\\frac{20 - 3\\frac{3}{11}}{17}",
["typ"] = "lomeno" },
["render"] = "11 \\cdot 4\\frac{3}{5} \\cdot \\frac{20 - 3\\frac{3}{11}}{17}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 16,
["jmenovatel"] = 5 },
["render"] = "3\\frac{2}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{11 \\cdot 4\\frac{3}{5} \\cdot \\frac{20 - 3\\frac{3}{11}}{17}}{3\\frac{2}{10}}",
["typ"] = "lomeno" } }
seed: btriNf7Iy7SanBG6QyVd_0.85, bodu=135, $$(3\frac{1}{8} - (-17)) \cdot 2\frac{1}{6} \cdot -15 \cdot 20 - (-11)=\textcolor{white}{-13070{,}25}$$return {
["body"] = 135,
["id"] = "53F4dg_1222_0532",
["obtiznost"] = 1.25,
["reseni"] = {
["float"] = -13070.25,
["objekt"] = {
["hodnota"] = {
["citatel"] = -52281,
["jmenovatel"] = 4 },
["render"] = "\\frac{-52281}{4}",
["typ"] = "cislo" },
["tex"] = "-13070\\frac{1}{4}",
["tex_float"] = "-13070{,}25",
["x"] = -13070,
["y"] = 1,
["z"] = 4 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.85",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 8 },
["render"] = "3\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["render"] = "3\\frac{1}{8} - (-17)",
["typ"] = "minus" },
["render"] = "(3\\frac{1}{8} - (-17))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 6 },
["render"] = "2\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{8} - (-17)) \\cdot 2\\frac{1}{6}",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 20",
["typ"] = "krat" },
["render"] = "(3\\frac{1}{8} - (-17)) \\cdot 2\\frac{1}{6} \\cdot -15 \\cdot 20",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{8} - (-17)) \\cdot 2\\frac{1}{6} \\cdot -15 \\cdot 20 - (-11)",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.86, bodu=202, $$(1\frac{2}{6} - 4\frac{3}{9} \cdot 3\frac{3}{8}) \cdot 6 - (13 + 4\frac{4}{14})=\textcolor{white}{-97\frac{1}{28}}$$return {
["body"] = 202,
["id"] = "rjbOFT_1222_0532",
["obtiznost"] = 1.66,
["reseni"] = {
["float"] = -97.035714285714,
["objekt"] = {
["hodnota"] = {
["citatel"] = -2717,
["jmenovatel"] = 28 },
["render"] = "\\frac{-2717}{28}",
["typ"] = "cislo" },
["tex"] = "-97\\frac{1}{28}",
["x"] = -97,
["y"] = 1,
["z"] = 28 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.86",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 3 },
["render"] = "4\\frac{3}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 27,
["jmenovatel"] = 8 },
["render"] = "3\\frac{3}{8}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{9} \\cdot 3\\frac{3}{8}",
["typ"] = "krat" },
["render"] = "1\\frac{2}{6} - 4\\frac{3}{9} \\cdot 3\\frac{3}{8}",
["typ"] = "minus" },
["render"] = "(1\\frac{2}{6} - 4\\frac{3}{9} \\cdot 3\\frac{3}{8})",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "(1\\frac{2}{6} - 4\\frac{3}{9} \\cdot 3\\frac{3}{8}) \\cdot 6",
["typ"] = "krat" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 30,
["jmenovatel"] = 7 },
["render"] = "4\\frac{4}{14}",
["typ"] = "cislo" },
["render"] = "13 + 4\\frac{4}{14}",
["typ"] = "plus" },
["render"] = "(13 + 4\\frac{4}{14})",
["typ"] = "zavorka" },
["render"] = "(1\\frac{2}{6} - 4\\frac{3}{9} \\cdot 3\\frac{3}{8}) \\cdot 6 - (13 + 4\\frac{4}{14})",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.87, bodu=240, $$(6 + 2\frac{3}{7}) \cdot (4\frac{3}{6} + 4\frac{3}{12} - (2\frac{1}{3} + 1\frac{5}{7} \cdot -21))=\textcolor{white}{357\frac{43}{84}}$$return {
["body"] = 240,
["id"] = "ioV2dy_1222_0532",
["obtiznost"] = 1.87,
["reseni"] = {
["float"] = 357.5119047619,
["objekt"] = {
["hodnota"] = {
["citatel"] = 30031,
["jmenovatel"] = 84 },
["render"] = "\\frac{30031}{84}",
["typ"] = "cislo" },
["tex"] = "357\\frac{43}{84}",
["x"] = 357,
["y"] = 43,
["z"] = 84 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.87",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 7 },
["render"] = "2\\frac{3}{7}",
["typ"] = "cislo" },
["render"] = "6 + 2\\frac{3}{7}",
["typ"] = "plus" },
["render"] = "(6 + 2\\frac{3}{7})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{3}{6}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 4 },
["render"] = "4\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "4\\frac{3}{6} + 4\\frac{3}{12}",
["typ"] = "plus" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{1}{3}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 7 },
["render"] = "1\\frac{5}{7}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -21,
["jmenovatel"] = 1 },
["render"] = "-21",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{7} \\cdot -21",
["typ"] = "krat" },
["render"] = "2\\frac{1}{3} + 1\\frac{5}{7} \\cdot -21",
["typ"] = "plus" },
["render"] = "(2\\frac{1}{3} + 1\\frac{5}{7} \\cdot -21)",
["typ"] = "zavorka" },
["render"] = "4\\frac{3}{6} + 4\\frac{3}{12} - (2\\frac{1}{3} + 1\\frac{5}{7} \\cdot -21)",
["typ"] = "minus" },
["render"] = "(4\\frac{3}{6} + 4\\frac{3}{12} - (2\\frac{1}{3} + 1\\frac{5}{7} \\cdot -21))",
["typ"] = "zavorka" },
["render"] = "(6 + 2\\frac{3}{7}) \\cdot (4\\frac{3}{6} + 4\\frac{3}{12} - (2\\frac{1}{3} + 1\\frac{5}{7} \\cdot -21))",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.88, bodu=134, $$-11 \cdot ((6 \cdot -5)^2 - (-8)) \cdot (\frac{10}{10})^2=\textcolor{white}{-9988}$$return {
["body"] = 134,
["id"] = "VDlrsM_1222_0532",
["obtiznost"] = 1.2412,
["reseni"] = {
["objekt"] = {
["hodnota"] = {
["citatel"] = -9988,
["jmenovatel"] = 1 },
["render"] = "\\frac{-9988}{1}",
["typ"] = "cislo" },
["tex"] = "-9988",
["tex_float"] = "-9988",
["x"] = -9988 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.88",
["zadani"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -5,
["jmenovatel"] = 1 },
["render"] = "-5",
["typ"] = "cislo" },
["render"] = "6 \\cdot -5",
["typ"] = "krat" },
["mocnitel"] = 2,
["render"] = "(6 \\cdot -5)^2",
["typ"] = "mocnina" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "(6 \\cdot -5)^2 - (-8)",
["typ"] = "minus" },
["render"] = "((6 \\cdot -5)^2 - (-8))",
["typ"] = "zavorka" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "\\frac{10}{10}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{10}{10})^2",
["typ"] = "mocnina" },
["render"] = "((6 \\cdot -5)^2 - (-8)) \\cdot (\\frac{10}{10})^2",
["typ"] = "krat" },
["render"] = "-11 \\cdot ((6 \\cdot -5)^2 - (-8)) \\cdot (\\frac{10}{10})^2",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.89, bodu=141, $$-12 \cdot 13 \cdot \frac{4\frac{1}{8}}{\frac{18}{2\frac{1}{5}}}=\textcolor{white}{-78{,}65}$$return {
["body"] = 141,
["id"] = "3gIZZ4_1222_0532",
["obtiznost"] = 1.29,
["reseni"] = {
["float"] = -78.65,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1573,
["jmenovatel"] = 20 },
["render"] = "\\frac{-18876}{240}",
["typ"] = "cislo" },
["tex"] = "-78\\frac{13}{20}",
["tex_float"] = "-78{,}65",
["x"] = -78,
["y"] = 13,
["z"] = 20 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.89",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 1 },
["render"] = "13",
["typ"] = "cislo" },
["render"] = "-12 \\cdot 13",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 33,
["jmenovatel"] = 8 },
["render"] = "4\\frac{1}{8}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 18,
["jmenovatel"] = 1 },
["render"] = "18",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{18}{2\\frac{1}{5}}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{1}{8}}{\\frac{18}{2\\frac{1}{5}}}",
["typ"] = "lomeno" },
["render"] = "-12 \\cdot 13 \\cdot \\frac{4\\frac{1}{8}}{\\frac{18}{2\\frac{1}{5}}}",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.9, bodu=143, $$\frac{21 - (-8)}{2\frac{2}{9} + 6 + 10} + (-15 \cdot 1\frac{3}{12})=\textcolor{white}{-17\frac{13}{82}}$$return {
["body"] = 143,
["id"] = "JqAr3q_1222_0532",
["obtiznost"] = 1.3,
["reseni"] = {
["float"] = -17.158536585366,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1407,
["jmenovatel"] = 82 },
["render"] = "\\frac{-11256}{656}",
["typ"] = "cislo" },
["tex"] = "-17\\frac{13}{82}",
["x"] = -17,
["y"] = 13,
["z"] = 82 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.9",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 1 },
["render"] = "21",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "21 - (-8)",
["typ"] = "minus" },
["c2"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 9 },
["render"] = "2\\frac{2}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 6,
["jmenovatel"] = 1 },
["render"] = "6",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} + 6",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 1 },
["render"] = "10",
["typ"] = "cislo" },
["render"] = "2\\frac{2}{9} + 6 + 10",
["typ"] = "plus" },
["render"] = "\\frac{21 - (-8)}{2\\frac{2}{9} + 6 + 10}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 4 },
["render"] = "1\\frac{3}{12}",
["typ"] = "cislo" },
["render"] = "-15 \\cdot 1\\frac{3}{12}",
["typ"] = "krat" },
["render"] = "\\frac{21 - (-8)}{2\\frac{2}{9} + 6 + 10} + (-15 \\cdot 1\\frac{3}{12})",
["typ"] = "plus" } }
seed: btriNf7Iy7SanBG6QyVd_0.91, bodu=176, $$\frac{14 + 1\frac{1}{6}}{4\frac{4}{8}} \cdot \frac{3\frac{5}{11}}{-15 \cdot -8}=\textcolor{white}{\frac{1729}{17820}}$$return {
["body"] = 176,
["id"] = "Ng0gVj_1222_0532",
["obtiznost"] = 1.51,
["reseni"] = {
["float"] = 0.09702581369248,
["objekt"] = {
["hodnota"] = {
["citatel"] = 1729,
["jmenovatel"] = 17820 },
["render"] = "\\frac{1729}{17820}",
["typ"] = "cislo" },
["tex"] = "\\frac{1729}{17820}",
["y"] = 1729,
["z"] = 17820 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.91",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 6 },
["render"] = "1\\frac{1}{6}",
["typ"] = "cislo" },
["render"] = "14 + 1\\frac{1}{6}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{4}{8}",
["typ"] = "cislo" },
["render"] = "\\frac{14 + 1\\frac{1}{6}}{4\\frac{4}{8}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -15,
["jmenovatel"] = 1 },
["render"] = "-15",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -8,
["jmenovatel"] = 1 },
["render"] = "-8",
["typ"] = "cislo" },
["render"] = "-15 \\cdot -8",
["typ"] = "krat" },
["render"] = "\\frac{3\\frac{5}{11}}{-15 \\cdot -8}",
["typ"] = "lomeno" },
["render"] = "\\frac{14 + 1\\frac{1}{6}}{4\\frac{4}{8}} \\cdot \\frac{3\\frac{5}{11}}{-15 \\cdot -8}",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.92, bodu=178, $$\frac{-12}{4\frac{5}{10}} \cdot (2\frac{4}{10} + (-16)) \cdot \frac{2\frac{2}{10}}{-7}=\textcolor{white}{-11\frac{209}{525}}$$return {
["body"] = 178,
["id"] = "brUnxl_1222_0532",
["obtiznost"] = 1.52,
["reseni"] = {
["float"] = -11.398095238095,
["objekt"] = {
["hodnota"] = {
["citatel"] = -5984,
["jmenovatel"] = 525 },
["render"] = "\\frac{-5984}{525}",
["typ"] = "cislo" },
["tex"] = "-11\\frac{209}{525}",
["x"] = -11,
["y"] = 209,
["z"] = 525 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.92",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -12,
["jmenovatel"] = 1 },
["render"] = "-12",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 2 },
["render"] = "4\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{-12}{4\\frac{5}{10}}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 5 },
["render"] = "2\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -16,
["jmenovatel"] = 1 },
["render"] = "-16",
["typ"] = "cislo" },
["render"] = "2\\frac{4}{10} + (-16)",
["typ"] = "plus" },
["render"] = "(2\\frac{4}{10} + (-16))",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 11,
["jmenovatel"] = 5 },
["render"] = "2\\frac{2}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -7,
["jmenovatel"] = 1 },
["render"] = "-7",
["typ"] = "cislo" },
["render"] = "\\frac{2\\frac{2}{10}}{-7}",
["typ"] = "lomeno" },
["render"] = "(2\\frac{4}{10} + (-16)) \\cdot \\frac{2\\frac{2}{10}}{-7}",
["typ"] = "krat" },
["render"] = "\\frac{-12}{4\\frac{5}{10}} \\cdot (2\\frac{4}{10} + (-16)) \\cdot \\frac{2\\frac{2}{10}}{-7}",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.93, bodu=180, $$(12 - (-22 \cdot 3\frac{3}{6} - 8)) \cdot 1\frac{5}{8} - 2\frac{3}{9}=\textcolor{white}{155\frac{7}{24}}$$return {
["body"] = 180,
["id"] = "uytVzl_1222_0532",
["obtiznost"] = 1.53,
["reseni"] = {
["float"] = 155.29166666667,
["objekt"] = {
["hodnota"] = {
["citatel"] = 3727,
["jmenovatel"] = 24 },
["render"] = "\\frac{3727}{24}",
["typ"] = "cislo" },
["tex"] = "155\\frac{7}{24}",
["x"] = 155,
["y"] = 7,
["z"] = 24 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.93",
["zadani"] = {
["c1"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -22,
["jmenovatel"] = 1 },
["render"] = "-22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 2 },
["render"] = "3\\frac{3}{6}",
["typ"] = "cislo" },
["render"] = "-22 \\cdot 3\\frac{3}{6}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 1 },
["render"] = "8",
["typ"] = "cislo" },
["render"] = "-22 \\cdot 3\\frac{3}{6} - 8",
["typ"] = "minus" },
["render"] = "(-22 \\cdot 3\\frac{3}{6} - 8)",
["typ"] = "zavorka" },
["render"] = "12 - (-22 \\cdot 3\\frac{3}{6} - 8)",
["typ"] = "minus" },
["render"] = "(12 - (-22 \\cdot 3\\frac{3}{6} - 8))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 13,
["jmenovatel"] = 8 },
["render"] = "1\\frac{5}{8}",
["typ"] = "cislo" },
["render"] = "(12 - (-22 \\cdot 3\\frac{3}{6} - 8)) \\cdot 1\\frac{5}{8}",
["typ"] = "krat" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 3 },
["render"] = "2\\frac{3}{9}",
["typ"] = "cislo" },
["render"] = "(12 - (-22 \\cdot 3\\frac{3}{6} - 8)) \\cdot 1\\frac{5}{8} - 2\\frac{3}{9}",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.94, bodu=181, $$\frac{-18}{15 + 22 - 3} - (2\frac{5}{9} + 3\frac{5}{11} + 1\frac{1}{7})=\textcolor{white}{-7\frac{8039}{11781}}$$return {
["body"] = 181,
["id"] = "i4hMH9_1222_0532",
["obtiznost"] = 1.54,
["reseni"] = {
["float"] = -7.682369917664,
["objekt"] = {
["hodnota"] = {
["citatel"] = -90506,
["jmenovatel"] = 11781 },
["render"] = "\\frac{-90506}{11781}",
["typ"] = "cislo" },
["tex"] = "-7\\frac{8039}{11781}",
["x"] = -7,
["y"] = 8039,
["z"] = 11781 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.94",
["zadani"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -18,
["jmenovatel"] = 1 },
["render"] = "-18",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 1 },
["render"] = "3",
["typ"] = "cislo" },
["render"] = "22 - 3",
["typ"] = "minus" },
["render"] = "15 + 22 - 3",
["typ"] = "plus" },
["render"] = "\\frac{-18}{15 + 22 - 3}",
["typ"] = "lomeno" },
["c2"] = {
["obsah"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 9 },
["render"] = "2\\frac{5}{9}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 38,
["jmenovatel"] = 11 },
["render"] = "3\\frac{5}{11}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} + 3\\frac{5}{11}",
["typ"] = "plus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 8,
["jmenovatel"] = 7 },
["render"] = "1\\frac{1}{7}",
["typ"] = "cislo" },
["render"] = "2\\frac{5}{9} + 3\\frac{5}{11} + 1\\frac{1}{7}",
["typ"] = "plus" },
["render"] = "(2\\frac{5}{9} + 3\\frac{5}{11} + 1\\frac{1}{7})",
["typ"] = "zavorka" },
["render"] = "\\frac{-18}{15 + 22 - 3} - (2\\frac{5}{9} + 3\\frac{5}{11} + 1\\frac{1}{7})",
["typ"] = "minus" } }
seed: btriNf7Iy7SanBG6QyVd_0.95, bodu=151, $$(1\frac{5}{10} - 3\frac{4}{13}) \cdot (17 - (-10 - (22 - (-11))))=\textcolor{white}{-108\frac{6}{13}}$$return {
["body"] = 151,
["id"] = "61kvYO_1222_0532",
["obtiznost"] = 1.35,
["reseni"] = {
["float"] = -108.46153846154,
["objekt"] = {
["hodnota"] = {
["citatel"] = -1410,
["jmenovatel"] = 13 },
["render"] = "\\frac{-2820}{26}",
["typ"] = "cislo" },
["tex"] = "-108\\frac{6}{13}",
["x"] = -108,
["y"] = 6,
["z"] = 13 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.95",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 43,
["jmenovatel"] = 13 },
["render"] = "3\\frac{4}{13}",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} - 3\\frac{4}{13}",
["typ"] = "minus" },
["render"] = "(1\\frac{5}{10} - 3\\frac{4}{13})",
["typ"] = "zavorka" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 17,
["jmenovatel"] = 1 },
["render"] = "17",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -10,
["jmenovatel"] = 1 },
["render"] = "-10",
["typ"] = "cislo" },
["c2"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 22,
["jmenovatel"] = 1 },
["render"] = "22",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "22 - (-11)",
["typ"] = "minus" },
["render"] = "(22 - (-11))",
["typ"] = "zavorka" },
["render"] = "-10 - (22 - (-11))",
["typ"] = "minus" },
["render"] = "(-10 - (22 - (-11)))",
["typ"] = "zavorka" },
["render"] = "17 - (-10 - (22 - (-11)))",
["typ"] = "minus" },
["render"] = "(17 - (-10 - (22 - (-11))))",
["typ"] = "zavorka" },
["render"] = "(1\\frac{5}{10} - 3\\frac{4}{13}) \\cdot (17 - (-10 - (22 - (-11))))",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.96, bodu=220, $$\frac{\frac{4\frac{2}{12}}{-9} - \frac{3\frac{3}{13}}{9}}{4\frac{1}{5}} \cdot 2\frac{5}{10}=\textcolor{white}{-\frac{14425}{29484}}$$return {
["body"] = 220,
["id"] = "2VCkkB_1222_0532",
["obtiznost"] = 1.76,
["reseni"] = {
["float"] = -0.48924840591507,
["objekt"] = {
["hodnota"] = {
["citatel"] = -14425,
["jmenovatel"] = 29484 },
["render"] = "\\frac{-14425}{29484}",
["typ"] = "cislo" },
["tex"] = "-\\frac{14425}{29484}",
["y"] = -14425,
["z"] = 29484 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.96",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 25,
["jmenovatel"] = 6 },
["render"] = "4\\frac{2}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -9,
["jmenovatel"] = 1 },
["render"] = "-9",
["typ"] = "cislo" },
["render"] = "\\frac{4\\frac{2}{12}}{-9}",
["typ"] = "lomeno" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 42,
["jmenovatel"] = 13 },
["render"] = "3\\frac{3}{13}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 1 },
["render"] = "9",
["typ"] = "cislo" },
["render"] = "\\frac{3\\frac{3}{13}}{9}",
["typ"] = "lomeno" },
["render"] = "\\frac{4\\frac{2}{12}}{-9} - \\frac{3\\frac{3}{13}}{9}",
["typ"] = "minus" },
["c2"] = {
["hodnota"] = {
["citatel"] = 21,
["jmenovatel"] = 5 },
["render"] = "4\\frac{1}{5}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{2}{12}}{-9} - \\frac{3\\frac{3}{13}}{9}}{4\\frac{1}{5}}",
["typ"] = "lomeno" },
["c2"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 2 },
["render"] = "2\\frac{5}{10}",
["typ"] = "cislo" },
["render"] = "\\frac{\\frac{4\\frac{2}{12}}{-9} - \\frac{3\\frac{3}{13}}{9}}{4\\frac{1}{5}} \\cdot 2\\frac{5}{10}",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.97, bodu=177, $$\frac{1\frac{2}{3} \cdot -19}{1\frac{5}{10} - 7} \cdot (\frac{-13}{14})^2=\textcolor{white}{4\frac{3119}{3234}}$$return {
["body"] = 177,
["id"] = "7afb1I_1222_0532",
["obtiznost"] = 1.516,
["reseni"] = {
["float"] = 4.9644403215832,
["objekt"] = {
["hodnota"] = {
["citatel"] = 16055,
["jmenovatel"] = 3234 },
["render"] = "\\frac{32110}{6468}",
["typ"] = "cislo" },
["tex"] = "4\\frac{3119}{3234}",
["x"] = 4,
["y"] = 3119,
["z"] = 3234 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.97",
["zadani"] = {
["c1"] = {
["c1"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 5,
["jmenovatel"] = 3 },
["render"] = "1\\frac{2}{3}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -19,
["jmenovatel"] = 1 },
["render"] = "-19",
["typ"] = "cislo" },
["render"] = "1\\frac{2}{3} \\cdot -19",
["typ"] = "krat" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 3,
["jmenovatel"] = 2 },
["render"] = "1\\frac{5}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 1 },
["render"] = "7",
["typ"] = "cislo" },
["render"] = "1\\frac{5}{10} - 7",
["typ"] = "minus" },
["render"] = "\\frac{1\\frac{2}{3} \\cdot -19}{1\\frac{5}{10} - 7}",
["typ"] = "lomeno" },
["c2"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 14,
["jmenovatel"] = 1 },
["render"] = "14",
["typ"] = "cislo" },
["render"] = "\\frac{-13}{14}",
["typ"] = "lomeno" },
["mocnitel"] = 2,
["render"] = "(\\frac{-13}{14})^2",
["typ"] = "mocnina" },
["render"] = "\\frac{1\\frac{2}{3} \\cdot -19}{1\\frac{5}{10} - 7} \\cdot (\\frac{-13}{14})^2",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.98, bodu=193, $$(2\frac{3}{12} - 4)^2 \cdot (3\frac{1}{9} + 2\frac{3}{10} - (-11)) \cdot 20=\textcolor{white}{1005\frac{13}{72}}$$return {
["body"] = 193,
["id"] = "ytNLp8_1222_0532",
["obtiznost"] = 1.606,
["reseni"] = {
["float"] = 1005.1805555556,
["objekt"] = {
["hodnota"] = {
["citatel"] = 72373,
["jmenovatel"] = 72 },
["render"] = "\\frac{144746}{144}",
["typ"] = "cislo" },
["tex"] = "1005\\frac{13}{72}",
["x"] = 1005,
["y"] = 13,
["z"] = 72 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.98",
["zadani"] = {
["c1"] = {
["c"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 9,
["jmenovatel"] = 4 },
["render"] = "2\\frac{3}{12}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 4,
["jmenovatel"] = 1 },
["render"] = "4",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{12} - 4",
["typ"] = "minus" },
["mocnitel"] = 2,
["render"] = "(2\\frac{3}{12} - 4)^2",
["typ"] = "mocnina" },
["c2"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 28,
["jmenovatel"] = 9 },
["render"] = "3\\frac{1}{9}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 23,
["jmenovatel"] = 10 },
["render"] = "2\\frac{3}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -11,
["jmenovatel"] = 1 },
["render"] = "-11",
["typ"] = "cislo" },
["render"] = "2\\frac{3}{10} - (-11)",
["typ"] = "minus" },
["render"] = "3\\frac{1}{9} + 2\\frac{3}{10} - (-11)",
["typ"] = "plus" },
["render"] = "(3\\frac{1}{9} + 2\\frac{3}{10} - (-11))",
["typ"] = "zavorka" },
["c2"] = {
["hodnota"] = {
["citatel"] = 20,
["jmenovatel"] = 1 },
["render"] = "20",
["typ"] = "cislo" },
["render"] = "(3\\frac{1}{9} + 2\\frac{3}{10} - (-11)) \\cdot 20",
["typ"] = "krat" },
["render"] = "(2\\frac{3}{12} - 4)^2 \\cdot (3\\frac{1}{9} + 2\\frac{3}{10} - (-11)) \\cdot 20",
["typ"] = "krat" } }
seed: btriNf7Iy7SanBG6QyVd_0.99, bodu=157, $$(15 + 3\frac{2}{6} - \frac{-17}{12}) \cdot 1\frac{4}{10} \cdot -13=\textcolor{white}{-359{,}45}$$return {
["body"] = 157,
["id"] = "MX2zAF_1222_0532",
["obtiznost"] = 1.39,
["reseni"] = {
["float"] = -359.45,
["objekt"] = {
["hodnota"] = {
["citatel"] = -7189,
["jmenovatel"] = 20 },
["render"] = "\\frac{-7189}{20}",
["typ"] = "cislo" },
["tex"] = "-359\\frac{9}{20}",
["tex_float"] = "-359{,}45",
["x"] = -359,
["y"] = 9,
["z"] = 20 },
["seed"] = "btriNf7Iy7SanBG6QyVd_0.99",
["zadani"] = {
["c1"] = {
["obsah"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 15,
["jmenovatel"] = 1 },
["render"] = "15",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 10,
["jmenovatel"] = 3 },
["render"] = "3\\frac{2}{6}",
["typ"] = "cislo" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = -17,
["jmenovatel"] = 1 },
["render"] = "-17",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = 12,
["jmenovatel"] = 1 },
["render"] = "12",
["typ"] = "cislo" },
["render"] = "\\frac{-17}{12}",
["typ"] = "lomeno" },
["render"] = "3\\frac{2}{6} - \\frac{-17}{12}",
["typ"] = "minus" },
["render"] = "15 + 3\\frac{2}{6} - \\frac{-17}{12}",
["typ"] = "plus" },
["render"] = "(15 + 3\\frac{2}{6} - \\frac{-17}{12})",
["typ"] = "zavorka" },
["c2"] = {
["c1"] = {
["hodnota"] = {
["citatel"] = 7,
["jmenovatel"] = 5 },
["render"] = "1\\frac{4}{10}",
["typ"] = "cislo" },
["c2"] = {
["hodnota"] = {
["citatel"] = -13,
["jmenovatel"] = 1 },
["render"] = "-13",
["typ"] = "cislo" },
["render"] = "1\\frac{4}{10} \\cdot -13",
["typ"] = "krat" },
["render"] = "(15 + 3\\frac{2}{6} - \\frac{-17}{12}) \\cdot 1\\frac{4}{10} \\cdot -13",
["typ"] = "krat" } }
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