text
stringlengths 49
120
|
|---|
Solve[-62 - 28*t + 11*t^2 == -33, t] == {{t -> (14 - Sqrt[515])/11}, {t -> (14 + Sqrt[515])/11}} |
Solve[-97 - 91*r + 88*r^2 == 98, r] == {{r -> (91 - Sqrt[76921])/176}, {r -> (91 + Sqrt[76921])/176}} |
Solve[-91 - 54*i - 36*i^2 == -1, i] == {{i -> (-3 - I*Sqrt[31])/4}, {i -> (-3 + I*Sqrt[31])/4}} |
Solve[11 - 41*w - 4*w^2 == -99, w] == {{w -> (-41 - Sqrt[3441])/8}, {w -> (-41 + Sqrt[3441])/8}} |
Solve[-99 + 48*d - 61*d^2 == 59, d] == {{d -> (24 - I*Sqrt[9062])/61}, {d -> (24 + I*Sqrt[9062])/61}} |
Solve[-8 + 35*u - 46*u^2 == -19, u] == {{u -> -11/46}, {u -> 1}} |
Solve[-9 + 22*t - 39*t^2 == -25, t] == {{t -> (11 - Sqrt[745])/39}, {t -> (11 + Sqrt[745])/39}} |
Solve[-63 - 17*u - 24*u^2 == -18, u] == {{u -> (-17 - I*Sqrt[4031])/48}, {u -> (-17 + I*Sqrt[4031])/48}} |
Solve[-89 - 72*o + 84*o^2 == 39, o] == {{o -> (9 - Sqrt[753])/21}, {o -> (9 + Sqrt[753])/21}} |
Solve[-65 - 64*e + e^2 == 29, e] == {{e -> 32 - Sqrt[1118]}, {e -> 32 + Sqrt[1118]}} |
Solve[-38 - 20*b - 26*b^2 == -80, b] == {{b -> (-5 - Sqrt[298])/13}, {b -> (-5 + Sqrt[298])/13}} |
Solve[62 - 44*l - 18*l^2 == -16, l] == {{l -> (-11 - 2*Sqrt[118])/9}, {l -> (-11 + 2*Sqrt[118])/9}} |
Solve[99 + 20*a - 35*a^2 == -94, a] == {{a -> (10 - Sqrt[6855])/35}, {a -> (10 + Sqrt[6855])/35}} |
Solve[7 - 29*x - 40*x^2 == 67, x] == {{x -> (-29 - I*Sqrt[8759])/80}, {x -> (-29 + I*Sqrt[8759])/80}} |
Solve[-95 + 44*a - 7*a^2 == -83, a] == {{a -> 2/7}, {a -> 6}} |
Solve[81 + 5*l^2 == 85, l] == {{l -> -2/Sqrt[5]}, {l -> 2/Sqrt[5]}} |
Solve[81 + 83*h - 42*h^2 == 33, h] == {{h -> (83 - Sqrt[14953])/84}, {h -> (83 + Sqrt[14953])/84}} |
Solve[10 - 58*z - 76*z^2 == 39, z] == {{z -> (-29 - I*Sqrt[1363])/76}, {z -> (-29 + I*Sqrt[1363])/76}} |
Solve[40 + 77*r + 47*r^2 == 75, r] == {{r -> (-77 - Sqrt[12509])/94}, {r -> (-77 + Sqrt[12509])/94}} |
Solve[-20 + 71*t - 37*t^2 == 8, t] == {{t -> (71 - Sqrt[897])/74}, {t -> (71 + Sqrt[897])/74}} |
Solve[45 - 56*g - 12*g^2 == -45, g] == {{g -> (-14 - Sqrt[466])/6}, {g -> (-14 + Sqrt[466])/6}} |
Solve[85 + 62*i - 20*i^2 == -60, i] == {{i -> (31 - 3*Sqrt[429])/20}, {i -> (31 + 3*Sqrt[429])/20}} |
Solve[27 - 14*n + 53*n^2 == 83, n] == {{n -> (7 - Sqrt[3017])/53}, {n -> (7 + Sqrt[3017])/53}} |
Solve[4 - 27*k + 95*k^2 == 43, k] == {{k -> (27 - Sqrt[15549])/190}, {k -> (27 + Sqrt[15549])/190}} |
Solve[-29 + 84*b - 75*b^2 == 67, b] == {{b -> (2*(7 - I*Sqrt[151]))/25}, {b -> (2*(7 + I*Sqrt[151]))/25}} |
Solve[-83 - 75*z - 21*z^2 == -62, z] == {{z -> (-25 - Sqrt[429])/14}, {z -> (-25 + Sqrt[429])/14}} |
Solve[32 + 34*m + 58*m^2 == 84, m] == {{m -> (-17 - Sqrt[3305])/58}, {m -> (-17 + Sqrt[3305])/58}} |
Solve[64 - 98*l^2 == 58, l] == {{l -> -1/7*Sqrt[3]}, {l -> Sqrt[3]/7}} |
Solve[-51 + 61*o + 85*o^2 == -93, o] == {{o -> (-61 - I*Sqrt[10559])/170}, {o -> (-61 + I*Sqrt[10559])/170}} |
Solve[50 + 74*w + 9*w^2 == -92, w] == {{w -> (-37 - Sqrt[91])/9}, {w -> (-37 + Sqrt[91])/9}} |
Solve[-65 + 51*e + 79*e^2 == -13, e] == {{e -> (-51 - Sqrt[19033])/158}, {e -> (-51 + Sqrt[19033])/158}} |
Solve[69 - 41*k - 79*k^2 == -94, k] == {{k -> (-41 - Sqrt[53189])/158}, {k -> (-41 + Sqrt[53189])/158}} |
Solve[2 + 10*v - 56*v^2 == 37, v] == {{v -> (5 - (3*I)*Sqrt[215])/56}, {v -> (5 + (3*I)*Sqrt[215])/56}} |
Solve[66 + 62*c - 31*c^2 == -58, c] == {{c -> 1 - Sqrt[5]}, {c -> 1 + Sqrt[5]}} |
Solve[-30 + 36*n - 24*n^2 == 51, n] == {{n -> (3*(1 - I*Sqrt[5]))/4}, {n -> (3*(1 + I*Sqrt[5]))/4}} |
Solve[77 - 99*q - 51*q^2 == 5, q] == {{q -> (-33 - Sqrt[2721])/34}, {q -> (-33 + Sqrt[2721])/34}} |
Solve[12 - 46*t + 23*t^2 == 20, t] == {{t -> (23 - Sqrt[713])/23}, {t -> (23 + Sqrt[713])/23}} |
Solve[-69 + 55*u - 28*u^2 == 44, u] == {{u -> (55 - I*Sqrt[9631])/56}, {u -> (55 + I*Sqrt[9631])/56}} |
Solve[-82 + 87*n + 97*n^2 == -40, n] == {{n -> (-87 - Sqrt[23865])/194}, {n -> (-87 + Sqrt[23865])/194}} |
Solve[-34 + 59*o - 16*o^2 == -57, o] == {{o -> (59 - Sqrt[4953])/32}, {o -> (59 + Sqrt[4953])/32}} |
Solve[39 - 6*g + 29*g^2 == 60, g] == {{g -> (3 - Sqrt[618])/29}, {g -> (3 + Sqrt[618])/29}} |
Solve[-51 + 26*w + 61*w^2 == -21, w] == {{w -> (-13 - Sqrt[1999])/61}, {w -> (-13 + Sqrt[1999])/61}} |
Solve[32 + 32*y + 76*y^2 == 5, y] == {{y -> (-8 - I*Sqrt[449])/38}, {y -> (-8 + I*Sqrt[449])/38}} |
Solve[-99 - 11*a + 37*a^2 == 61, a] == {{a -> (11 - Sqrt[23801])/74}, {a -> (11 + Sqrt[23801])/74}} |
Solve[-97 + 20*b + 3*b^2 == -8, b] == {{b -> (-10 - Sqrt[367])/3}, {b -> (-10 + Sqrt[367])/3}} |
Solve[13 + 63*x - 80*x^2 == 50, x] == {{x -> (63 - I*Sqrt[7871])/160}, {x -> (63 + I*Sqrt[7871])/160}} |
Solve[8 + 30*b - 44*b^2 == -39, b] == {{b -> (15 - Sqrt[2293])/44}, {b -> (15 + Sqrt[2293])/44}} |
Solve[83 + 13*v + 54*v^2 == -65, v] == {{v -> (-13 - I*Sqrt[31799])/108}, {v -> (-13 + I*Sqrt[31799])/108}} |
Solve[37 - 19*a + 19*a^2 == -47, a] == {{a -> (19 - I*Sqrt[6023])/38}, {a -> (19 + I*Sqrt[6023])/38}} |
Solve[48 + 74*y + 36*y^2 == -43, y] == {{y -> (-37 - I*Sqrt[1907])/36}, {y -> (-37 + I*Sqrt[1907])/36}} |
Solve[87 - 37*m - 51*m^2 == 90, m] == {{m -> (-37 - Sqrt[757])/102}, {m -> (-37 + Sqrt[757])/102}} |
Solve[-70 - 45*c + 51*c^2 == -69, c] == {{c -> (45 - Sqrt[2229])/102}, {c -> (45 + Sqrt[2229])/102}} |
Solve[61 - 25*j - 61*j^2 == 98, j] == {{j -> (-25 - I*Sqrt[8403])/122}, {j -> (-25 + I*Sqrt[8403])/122}} |
Solve[14 + 45*e + 69*e^2 == -41, e] == {{e -> (-45 - I*Sqrt[13155])/138}, {e -> (-45 + I*Sqrt[13155])/138}} |
Solve[76 + 47*q - 21*q^2 == -90, q] == {{q -> (47 - Sqrt[16153])/42}, {q -> (47 + Sqrt[16153])/42}} |
Solve[-87 - 31*o + 6*o^2 == -51, o] == {{o -> (31 - 5*Sqrt[73])/12}, {o -> (31 + 5*Sqrt[73])/12}} |
Solve[-42 + 58*k - 52*k^2 == -27, k] == {{k -> (29 - Sqrt[61])/52}, {k -> (29 + Sqrt[61])/52}} |
Solve[-48 - 10*l + 86*l^2 == -81, l] == {{l -> (5 - I*Sqrt[2813])/86}, {l -> (5 + I*Sqrt[2813])/86}} |
Solve[3 + 4*e - 64*e^2 == 88, e] == {{e -> (1 - (3*I)*Sqrt[151])/32}, {e -> (1 + (3*I)*Sqrt[151])/32}} |
Solve[-87 + 28*k + 24*k^2 == -82, k] == {{k -> (-7 - Sqrt[79])/12}, {k -> (-7 + Sqrt[79])/12}} |
Solve[-63 + 95*o - 55*o^2 == 70, o] == {{o -> (95 - I*Sqrt[20235])/110}, {o -> (95 + I*Sqrt[20235])/110}} |
Solve[24 - 64*g + 17*g^2 == -2, g] == {{g -> (32 - Sqrt[582])/17}, {g -> (32 + Sqrt[582])/17}} |
Solve[83 + 12*e + 89*e^2 == -54, e] == {{e -> (-6 - I*Sqrt[12157])/89}, {e -> (-6 + I*Sqrt[12157])/89}} |
Solve[-49 + 72*a + 66*a^2 == 86, a] == {{a -> (3*(-4 - 3*Sqrt[14]))/22}, {a -> (3*(-4 + 3*Sqrt[14]))/22}} |
Solve[-77 - 64*g - 95*g^2 == 49, g] == {{g -> (-32 - I*Sqrt[10946])/95}, {g -> (-32 + I*Sqrt[10946])/95}} |
Solve[-55 - 46*w - 63*w^2 == -68, w] == {{w -> (-23 - 2*Sqrt[337])/63}, {w -> (-23 + 2*Sqrt[337])/63}} |
Solve[2 - 78*n + 53*n^2 == 29, n] == {{n -> (3*(13 - 2*Sqrt[82]))/53}, {n -> (3*(13 + 2*Sqrt[82]))/53}} |
Solve[28 + 63*f - 25*f^2 == 9, f] == {{f -> (63 - Sqrt[5869])/50}, {f -> (63 + Sqrt[5869])/50}} |
Solve[4 + 96*i - 99*i^2 == 58, i] == {{i -> (16 - (13*I)*Sqrt[2])/33}, {i -> (16 + (13*I)*Sqrt[2])/33}} |
Solve[12 + 28*d + 15*d^2 == -12, d] == {{d -> (2*(-7 - I*Sqrt[41]))/15}, {d -> (2*(-7 + I*Sqrt[41]))/15}} |
Solve[14 - 79*h + 7*h^2 == 83, h] == {{h -> (79 - Sqrt[8173])/14}, {h -> (79 + Sqrt[8173])/14}} |
Solve[-50 + 99*a - 91*a^2 == 29, a] == {{a -> (99 - I*Sqrt[18955])/182}, {a -> (99 + I*Sqrt[18955])/182}} |
Solve[-57 - 12*d + 62*d^2 == 49, d] == {{d -> (3 - 2*Sqrt[413])/31}, {d -> (3 + 2*Sqrt[413])/31}} |
Solve[47 + 45*q + 82*q^2 == 98, q] == {{q -> (-45 - Sqrt[18753])/164}, {q -> (-45 + Sqrt[18753])/164}} |
Solve[-62 - 33*f + 18*f^2 == -99, f] == {{f -> (11 - (5*I)*Sqrt[7])/12}, {f -> (11 + (5*I)*Sqrt[7])/12}} |
Solve[-71 - 79*g + 81*g^2 == 99, g] == {{g -> (79 - Sqrt[61321])/162}, {g -> (79 + Sqrt[61321])/162}} |
Solve[6 - 78*n + 40*n^2 == -80, n] == {{n -> (39 - I*Sqrt[1919])/40}, {n -> (39 + I*Sqrt[1919])/40}} |
Solve[7 + 57*w - 12*w^2 == -65, w] == {{w -> (19 - Sqrt[745])/8}, {w -> (19 + Sqrt[745])/8}} |
Solve[-84 - 51*j - 65*j^2 == -40, j] == {{j -> (-51 - I*Sqrt[8839])/130}, {j -> (-51 + I*Sqrt[8839])/130}} |
Solve[-16 - 34*c - 18*c^2 == 36, c] == {{c -> (-17 - I*Sqrt[647])/18}, {c -> (-17 + I*Sqrt[647])/18}} |
Solve[91 + 33*g + 74*g^2 == 52, g] == {{g -> (-33 - I*Sqrt[10455])/148}, {g -> (-33 + I*Sqrt[10455])/148}} |
Solve[18 - 25*d + 19*d^2 == -45, d] == {{d -> (25 - I*Sqrt[4163])/38}, {d -> (25 + I*Sqrt[4163])/38}} |
Solve[-31 + 26*h - 80*h^2 == 82, h] == {{h -> (13 - I*Sqrt[8871])/80}, {h -> (13 + I*Sqrt[8871])/80}} |
Solve[22 + 26*w + 10*w^2 == 53, w] == {{w -> (-13 - Sqrt[479])/10}, {w -> (-13 + Sqrt[479])/10}} |
Solve[-50 - 70*z + 3*z^2 == -57, z] == {{z -> (35 - 2*Sqrt[301])/3}, {z -> (35 + 2*Sqrt[301])/3}} |
Solve[43 + 48*a - 5*a^2 == -23, a] == {{a -> (24 - Sqrt[906])/5}, {a -> (24 + Sqrt[906])/5}} |
Solve[51 + 69*j - 53*j^2 == -62, j] == {{j -> (69 - 47*Sqrt[13])/106}, {j -> (69 + 47*Sqrt[13])/106}} |
Solve[94 + 97*x - 64*x^2 == -89, x] == {{x -> (97 - Sqrt[56257])/128}, {x -> (97 + Sqrt[56257])/128}} |
Solve[-85 - 86*d - 77*d^2 == 98, d] == {{d -> (-43 - I*Sqrt[12242])/77}, {d -> (-43 + I*Sqrt[12242])/77}} |
Solve[-89 - 9*z + 84*z^2 == -11, z] == {{z -> (3 - Sqrt[2921])/56}, {z -> (3 + Sqrt[2921])/56}} |
Solve[-43 + 91*f - 20*f^2 == 93, f] == {{f -> (91 - I*Sqrt[2599])/40}, {f -> (91 + I*Sqrt[2599])/40}} |
Solve[59 - 5*q - 49*q^2 == 94, q] == {{q -> (-5 - I*Sqrt[6835])/98}, {q -> (-5 + I*Sqrt[6835])/98}} |
Solve[58 + 17*j + 32*j^2 == -15, j] == {{j -> (-17 - I*Sqrt[9055])/64}, {j -> (-17 + I*Sqrt[9055])/64}} |
Solve[-9 + 48*b + 51*b^2 == 28, b] == {{b -> (-24 - Sqrt[2463])/51}, {b -> (-24 + Sqrt[2463])/51}} |
Solve[-31 + 40*r^2 == -63, r] == {{r -> (-2*I)/Sqrt[5]}, {r -> (2*I)/Sqrt[5]}} |
Solve[-53 - 19*y + 48*y^2 == 54, y] == {{y -> (19 - Sqrt[20905])/96}, {y -> (19 + Sqrt[20905])/96}} |
Solve[61 + 9*o + 67*o^2 == 38, o] == {{o -> (-9 - I*Sqrt[6083])/134}, {o -> (-9 + I*Sqrt[6083])/134}} |
Solve[75 - 56*r - 47*r^2 == -27, r] == {{r -> (-28 - Sqrt[5578])/47}, {r -> (-28 + Sqrt[5578])/47}} |
Solve[24 + 92*t + 48*t^2 == -57, t] == {{t -> (-23 - I*Sqrt[443])/24}, {t -> (-23 + I*Sqrt[443])/24}} |
Solve[-71 - 98*b + 17*b^2 == -82, b] == {{b -> (49 - 3*Sqrt[246])/17}, {b -> (49 + 3*Sqrt[246])/17}} |