**2 - 56820*a - 56.
4*(a - 2)*(a + 7)*(1015*a + 1)
Factor -158*u**3/3 + 86*u**2.
-2*u**2*(79*u - 129)/3
Factor -2*w**3 - 730*w**2 + 2944*w - 2952.
-2*(w - 2)**2*(w + 369)
Let -2*c**3/3 + 38*c**2/3 - 64*c + 96 = 0. What is c?
3, 4, 12
Find g, given that -52*g**4/5 - 1472*g**3/5 + 14996*g**2/5 + 4320*g + 5184/5 = 0.
-36, -1, -4/13, 9
Solve -2*z**5 + 392*z**4 - 9830*z**3 - 21640*z**2 + 9832*z + 21248 = 0 for z.
-2, -1, 1, 32, 166
Determine h so that -14*h**5/9 - 1480*h**4/9 + 650*h**3/3 + 2560*h**2/9 - 856*h/9 = 0.
-107, -1, 0, 2/7, 2
Solve -113*f**2/6 + 16*f + 130/3 = 0.
-130/113, 2
Solve c**3/7 + 46*c**2/7 - 28*c + 200/7 = 0.
-50, 2
Determine f, given that f**3/3 + 369*f**2 + 2570*f + 11000/3 = 0.
-1100, -5, -2
Determine j so that -2*j**2/9 - 990992*j/9 - 122758143008/9 = 0.
-247748
Find f such that 2*f**3 + 98*f**2 - 1612*f = 0.
-62, 0, 13
Factor -2*a**3/13 + 11790*a**2/13 - 17381406*a/13 + 17369618/13.
-2*(a - 2947)**2*(a - 1)/13
Solve -2*y**2/5 + 702*y/5 - 5084 = 0 for y.
41, 310
Factor -p**2/5 + 41508*p/5 - 41507/5.
-(p - 41507)*(p - 1)/5
Solve k**3/6 + 455*k**2/6 - 20600*k/3 + 428000/3 = 0.
-535, 40
Factor -j**3/11 - 3*j**2 - 146*j/11 + 432/11.
-(j - 2)*(j + 8)*(j + 27)/11
Let -o**2/8 - 61*o/8 + 38875/4 = 0. What is o?
-311, 250
What is n in -14*n**4/3 + 594*n**3 - 25234*n**2 + 1080514*n/3 - 100860 = 0?
2/7, 41, 45
Find n, given that -2*n**4/3 + 4*n**3/3 + 1336*n**2/3 + 3280*n + 4800 = 0.
-20, -6, -2, 30
Factor z**4/4 - 119*z**3/4 - 81*z**2/2 + 1260*z.
z*(z - 120)*(z - 6)*(z + 7)/4
Factor p**2/2 + 49999*p/2 - 50001.
(p - 2)*(p + 50001)/2
Let h**2/3 - 9890*h/3 + 39544/3 = 0. Calculate h.
4, 9886
Factor -s**4/6 + 1717*s**3/3 - 6865*s**2/6 + 572*s.
-s*(s - 3432)*(s - 1)**2/6
Solve 24*n**5 + 15267*n**4 + 122940*n**3 + 301785*n**2 + 216696*n + 22608 = 0.
-628, -4, -3, -1, -1/8
Determine n so that -3*n**2 + 3537*n - 601314 = 0.
206, 973
Factor u**5 + 137*u**4 + 1410*u**3 + 2988*u**2 - 4536*u.
u*(u - 1)*(u + 6)**2*(u + 126)
Find c such that 2*c**3/21 + 238*c**2/3 + 72494*c/21 + 23610/7 = 0.
-787, -45, -1
Factor 15*k**3/4 - 9325*k**2/4 + 3105*k/2.
5*k*(k - 621)*(3*k - 2)/4
Factor 2*n**4 - 934*n**3 + 103726*n**2 + 1256662*n.
2*n*(n - 239)**2*(n + 11)
Determine c so that -2*c**2 - 16852*c - 35498738 = 0.
-4213
Suppose 4*i**4 - 390536*i**3 - 1171632*i**2 - 1171640*i - 390548 = 0. Calculate i.
-1, 97637
Factor n**3/4 - 475*n**2/4 - 25425*n/2.
n*(n - 565)*(n + 90)/4
Solve 255*y**4/7 + 18279*y**3/7 - 5826*y**2/7 + 432*y/7 = 0.
-72, 0, 2/17, 1/5
Factor 7938*z**2/17 + 518112*z/17 + 8454272/17.
2*(63*z + 2056)**2/17
Find c, given that 127*c**5/5 + 519*c**4/5 - 169*c**3 - 1347*c**2/5 - 22*c = 0.
-5, -1, -11/127, 0, 2
Factor -3*j**3 + 75*j**2 - 546*j + 1176.
-3*(j - 14)*(j - 7)*(j - 4)
Determine k so that -2*k**5 - 1514*k**4/5 + 2506*k**3/5 + 8834*k**2/5 - 6144*k/5 - 3672/5 = 0.
-153, -2, -2/5, 1, 3
Factor 5*h**3 + 115*h**2 - 3590*h - 7600.
5*(h - 19)*(h + 2)*(h + 40)
Factor 2*p**3/11 - 18*p**2/11 - 464*p/11 - 840/11.
2*(p - 21)*(p + 2)*(p + 10)/11
Solve 3*q**2 - 3405*q + 943722 = 0.
481, 654
Find h, given that 3*h**4 + 11376*h**3 + 10795818*h**2 + 21557520*h + 10773075 = 0.
-1895, -1
Determine q so that -236*q**4/3 - 248*q**3/3 - 4*q**2 = 0.
-1, -3/59, 0
Solve 33*i**2/4 - 147*i - 741/4 = 0.
-13/11, 19
Factor -4*w**5 - 32*w**4 + 872*w**3 + 3744*w**2 - 54756*w.
-4*w*(w - 9)**2*(w + 13)**2
Let 5*s**2 + 959955*s = 0. What is s?
-191991, 0
Factor 6*q**3 + 556*q**2 + 100405*q/6 + 323575/2.
(q + 21)*(6*q + 215)**2/6
Find o, given that -3*o**2 + 1125*o + 9192 = 0.
-8, 383
Solve -3*x**2/5 + 9357*x/5 + 1872 = 0.
-1, 3120
Suppose 5*g**5/2 - 23*g**4/2 - 175*g**3/2 - 201*g**2/2 - 27*g = 0. What is g?
-3, -1, -2/5, 0, 9
Suppose -3*u**3 - 62151*u**2 = 0. What is u?
-20717, 0
Factor -4*l**3 - 2140*l**2 - 115896*l - 113760.
-4*(l + 1)*(l + 60)*(l + 474)
Factor 2*u**2 + 13348*u + 239616.
2*(u + 18)*(u + 6656)
Let -2*c**3/19 + 1016*c**2/19 - 128010*c/19 - 260100/19 = 0. Calculate c.
-2, 255
Suppose -3*p**3 + 699*p**2 + 10227*p + 36309 = 0. Calculate p.
-7, 247
Factor 3*t**5 + 3552*t**4 + 293886*t**3 + 8376360*t**2 + 80264199*t.
3*t*(t + 29)**3*(t + 1097)
Solve -h**2 + 146921*h - 146920 = 0.
1, 146920
Suppose -4*y**3 - 150876*y**2 - 452600*y - 301728 = 0. Calculate y.
-37716, -2, -1
Factor 100*l**3 + 22280*l**2 + 1195236*l - 5143824.
4*(l - 4)*(5*l + 567)**2
Factor -2*m**2 - 508*m - 25760.
-2*(m + 70)*(m + 184)
Solve -2*o**2 - 251860*o + 755598 = 0.
-125933, 3
Solve g**2/3 + 3829*g + 22970/3 = 0.
-11485, -2
Factor -64335*d**3 + 128679*d**2 - 64353*d + 9.
-3*(d - 1)**2*(21445*d - 3)
Determine l, given that -2*l**3 + 13794*l**2 - 27582*l + 13790 = 0.
1, 6895
Solve 4*i**2/3 + 4864*i/3 + 545500/3 = 0 for i.
-1091, -125
Determine l so that 31*l**3/3 - 17239*l**2/3 + 2397472*l/3 - 77284 = 0.
3/31, 278
Solve -10*m**3 - 554*m**2 - 5568*m - 15624 = 0.
-217/5, -6
Factor -2*z**2/3 - 18884*z/3 + 12592.
-2*(z - 2)*(z + 9444)/3
Factor m**4 - 44*m**3 - 242*m**2 - 156*m + 441.
(m - 49)*(m - 1)*(m + 3)**2
Suppose w**2 - 242*w - 10959 = 0. Calculate w.
-39, 281
Let x**2/4 + 9509*x/2 - 66612 = 0. Calculate x.
-19032, 14
Let 85*x**4 - 21432*x**3 + 24358*x**2 - 2760*x - 251 = 0. Calculate x.
-1/17, 1/5, 1, 251
Suppose 4*o**2 - 2436*o - 24760 = 0. What is o?
-10, 619
Find b, given that -4*b**2 + 360*b - 4964 = 0.
17, 73
What is t in -36*t**4 - 368*t**3 + 10396*t**2 - 36552*t - 8640 = 0?
-24, -2/9, 5, 9
Factor h**2/6 - 55*h/2 - 3038/3.
(h - 196)*(h + 31)/6
Find a, given that -2*a**3/7 + 701112*a**2/7 + 1402230*a/7 + 701116/7 = 0.
-1, 350558
Factor -p**3/2 - 271*p**2 - 8288*p - 65280.
-(p + 16)**2*(p + 510)/2
Determine h so that 45*h**5 + 13915*h**4 + 3090*h**3 = 0.
-309, -2/9, 0
Suppose -i**3/2 - 136*i**2 - 3729*i/2 + 16191 = 0. What is i?
-257, -21, 6
Factor -j**2/2 - 23831*j - 567916561/2.
-(j + 23831)**2/2
Determine v, given that -2*v**3/9 + 3122*v**2/9 - 375040*v/9 + 11739136/9 = 0.
64, 1433
Suppose -18*n**5/25 - 2256*n**4/5 + 212752*n**3/25 - 63388*n**2/25 - 114846*n/25 - 4644/5 = 0. Calculate n.
-645, -1/3, 1, 18
Let 18*z**3/5 + 17319*z**2/5 - 31812*z/5 = 0. What is z?
-964, 0, 11/6
What is j in 2*j**5/13 + 20*j**4/13 - 24*j**3/13 - 460*j**2/13 - 778*j/13 - 360/13 = 0?
-9, -4, -1, 5
Factor -z**2 - 428*z - 36771.
-(z + 119)*(z + 309)
Factor p**4/3 + 1032*p**3 + 2063*p**2 + 3094*p/3.
p*(p + 1)**2*(p + 3094)/3
Factor 4*d**2 + 578280*d + 20900484900.
4*(d + 72285)**2
Find h such that -2*h**3/17 + 26*h**2/17 + 1820*h/17 + 800 = 0.
-17, -10, 40
Factor -o**3/3 + 781*o**2/3 + 3136*o/3 + 3140/3.
-(o - 785)*(o + 2)**2/3
Factor -a**4/3 - 125*a**3/3 + 1250*a**2.
-a**2*(a - 25)*(a + 150)/3
Determine m, given that m**4/4 + 31*m**3/2 + 635*m**2/4 + 887*m/2 + 300 = 0.
-50, -8, -3, -1
Determine a so that 2*a**3 - 12354*a**2 + 24702*a - 12350 = 0.
1, 6175
Find b, given that -35*b**4 + 476165*b**3 - 816160*b**2 - 272060*b = 0.
-2/7, 0, 2, 13603
Factor o**2 + 113158*o - 339483.
(o - 3)*(o + 113161)
Factor -m**5 + 28*m**4 - 222*m**3 + 364*m**2 - 169*m.
-m*(m - 13)**2*(m - 1)**2
Suppose -1010*h**5 + 96965*h**4 - 480*h**3 = 0. What is h?
0, 1/202, 96
What is x in -1562*x**5/7 - 6246*x**4/7 - 6240*x**3/7 + 8*x**2/7 = 0?
-2, 0, 1/781
Let g**5 + 12*g**4 - 168*g**3 + 422*g**2 - 393*g + 126 = 0. Calculate g.
-21, 1, 6
Factor 3*l**2/7 - 37980*l/7 + 120206700/7.
3*(l - 6330)**2/7
What is g in 2824*g**4 - 2166*g**3 - 670*g**2 + 12*g = 0?
-1/4, 0, 6/353, 1
Suppose 7*u**2 + 48443*u/2 + 5190 = 0. Calculate u.
-3460, -3/14
Find w, given that -62*w**5/9 + 2662*w**4/9 - 11516*w**3/3 + 140360*w**2/9 + 9200*w/9 = 0.
-2/31, 0, 10, 23
Solve -y**4/7 - 496*y**3/7 - 9953*y**2/7 + 10450*y/7 = 0.
-475, -22, 0, 1
Solve -2*g**3/11 - 604964*g**2/11 - 1209922*g/11 - 604960/11 = 0 for g.
-302480, -1
What is k in 3*k**4 + 12*k**3 - 3186*k**2 - 63180*k - 342225 = 0?
-15, -13, 39
Factor 2*o**2/5 + 492*o/5 + 23058/5.
2*(o + 63)*(o + 183)/5
Determine p so that -4*p**2 + 1160440*p = 0.
0, 290110
Find s, given that -2*s**5/7 + 312*s**4/7 - 12450*s**3/7 + 2900*s**2 + 134112*s/7 - 142272/7 = 0.
-3, 1, 4, 76, 78
Factor -2*y**2 + 225844*y - 451680.
-2*(y - 112920)*(y - 2)
Solve 1058*x**3/13 + 10672*x**2/13 - 14136*x + 519840/13 = 0.
-20, 114/23
Factor -10*b**2 + 330386*b + 132156.
-2*(b - 33039)*(5*b + 2)
Let -j**4/10 - 7*j**3/5 + 283*j**2/10 + 634*