)*(d + 1)/5
Suppose -2*x**4/11 - 14*x**3/11 + 8*x**2/11 + 56*x/11 = 0. Calculate x.
-7, -2, 0, 2
Factor f**2 - 80*f + 1600.
(f - 40)**2
Solve -n**4 - 48*n**3 - 698*n**2 - 2856*n - 2205 = 0.
-21, -5, -1
Find d such that d**4/5 - 9*d**2/5 = 0.
-3, 0, 3
Factor -t**3 + 3*t**2 + 6*t - 8.
-(t - 4)*(t - 1)*(t + 2)
Factor -9*l**2 + 753*l + 252.
-3*(l - 84)*(3*l + 1)
Determine i so that -10*i**2/9 + 58*i/3 - 68/9 = 0.
2/5, 17
Determine a so that 9*a**5 - 106*a**4 + 354*a**3 - 384*a**2 + 85*a + 42 = 0.
-2/9, 1, 3, 7
Determine h so that 11*h**5/9 - 332*h**4/9 + 388*h**3 - 14704*h**2/9 + 19456*h/9 - 1024/3 = 0.
2/11, 2, 8, 12
Let 3*y**3 - 129*y**2 - 267*y - 135 = 0. Calculate y.
-1, 45
Factor 5*k**3/2 + 170*k**2 - 5*k/2 - 170.
5*(k - 1)*(k + 1)*(k + 68)/2
Suppose -196*i**5 - 1148*i**4 - 1884*i**3 - 52*i**2 + 2080*i + 1200 = 0. Calculate i.
-3, -10/7, -1, 1
Suppose -2*y**2 + 264*y - 262 = 0. What is y?
1, 131
Solve 3*f**3/4 - 9*f**2/2 = 0 for f.
0, 6
Determine t, given that 5*t**3 + 285*t**2 + 820*t + 540 = 0.
-54, -2, -1
Let -2*b**4/7 + 218*b**3/7 - 642*b**2/7 + 638*b/7 - 212/7 = 0. Calculate b.
1, 106
Suppose o**4 - 7*o**3 + 12*o**2 = 0. Calculate o.
0, 3, 4
Factor -2*m**4 + 178*m**3 - 1944*m**2 + 7520*m - 9856.
-2*(m - 77)*(m - 4)**3
Factor -3*m**4/5 + 27*m**3/5 + 3*m**2/5 - 27*m/5.
-3*m*(m - 9)*(m - 1)*(m + 1)/5
Let a**2 + 6*a - 7 = 0. What is a?
-7, 1
Factor -k**2/6 + 575*k/6 + 386.
-(k - 579)*(k + 4)/6
Solve -10*r**5/3 - 14*r**4/9 + 256*r**3/9 + 16*r**2/3 - 416*r/9 - 224/9 = 0 for r.
-14/5, -1, -2/3, 2
Factor -t**5 + 28*t**4 - 235*t**3 + 456*t**2 + 720*t.
-t*(t - 12)**2*(t - 5)*(t + 1)
Factor -3*m**2 + 2019*m - 4026.
-3*(m - 671)*(m - 2)
Let 243*d**3 + 7911*d**2 - 3552*d + 396 = 0. Calculate d.
-33, 2/9
Let 5*h**4 + 370*h**3 + 3665*h**2 + 12840*h + 15120 = 0. Calculate h.
-63, -4, -3
Suppose -k**3 + 9*k**2 - 8*k = 0. What is k?
0, 1, 8
Solve -40*h**5/13 + 414*h**4/13 + 762*h**3/13 + 356*h**2/13 + 48*h/13 = 0 for h.
-1, -2/5, -1/4, 0, 12
Factor -16*n**4 + 728*n**3 - 2913*n**2 - 1594*n - 205.
-(n - 41)*(n - 5)*(4*n + 1)**2
Factor r**3 + 41*r**2 - 94*r - 344.
(r - 4)*(r + 2)*(r + 43)
Factor c**3/2 - 4*c**2 + 7*c/2.
c*(c - 7)*(c - 1)/2
Determine v, given that -15*v**3 - v**2 + 2*v = 0.
-2/5, 0, 1/3
Factor 3*z**5/2 + 173*z**4/6 + 1253*z**3/6 + 1365*z**2/2 + 2675*z/3 + 500/3.
(z + 4)*(z + 5)**3*(9*z + 2)/6
Find u such that -4*u**2 + 8496*u - 4511376 = 0.
1062
Factor 4*d**4 - 536*d**3 + 528*d**2 + 536*d - 532.
4*(d - 133)*(d - 1)**2*(d + 1)
Let -5*t**5/3 + 17*t**4/3 + 89*t**3/3 - 473*t**2/3 + 208*t - 60 = 0. Calculate t.
-5, 2/5, 2, 3
Factor -2*t**2/7 + 6*t/7 + 1980/7.
-2*(t - 33)*(t + 30)/7
Let -2*s**4/7 - 2*s**3 + 26*s**2/7 + 50*s + 600/7 = 0. What is s?
-5, -4, -3, 5
Determine b, given that 2*b**4/11 - 1022*b**3/11 + 3048*b**2/11 + 8*b/11 - 4064/11 = 0.
-1, 2, 508
Suppose -2*r**4 - 5*r**3 + 50*r**2 + 20*r - 168 = 0. Calculate r.
-6, -2, 2, 7/2
Determine u, given that -20*u**5 + 35*u**4 + 5*u**3 - 35*u**2 + 15*u = 0.
-1, 0, 3/4, 1
Determine u, given that -2*u**5/3 + 4*u**4/3 + 16*u**3/3 - 32*u**2/3 - 32*u/3 + 64/3 = 0.
-2, 2
Factor -d**2/3 - d - 2/3.
-(d + 1)*(d + 2)/3
Suppose -2*w**2/7 - 8*w/7 + 120/7 = 0. Calculate w.
-10, 6
Solve 4*y**5 - 28*y**4 - 48*y**3 + 112*y**2 + 128*y = 0.
-2, -1, 0, 2, 8
Find c, given that 3*c**4 + 45*c**3 + 105*c**2 - 45*c - 108 = 0.
-12, -3, -1, 1
Factor 2*u**2/17 + 48*u/17 + 216/17.
2*(u + 6)*(u + 18)/17
Determine g, given that 4*g**3 + 16*g**2 - 128*g = 0.
-8, 0, 4
Suppose 2*z**4/17 - 74*z**3/17 - 330*z**2/17 + 74*z/17 + 328/17 = 0. What is z?
-4, -1, 1, 41
Factor 3*s**3/2 - 155*s**2/2 - 211*s/2 - 53/2.
(s - 53)*(s + 1)*(3*s + 1)/2
Let 2*x**5 + 38*x**4 + 58*x**3 - 182*x**2 - 204*x = 0. Calculate x.
-17, -3, -1, 0, 2
Suppose d**5 - 109*d**4 + 2802*d**3 + 9184*d**2 + 6272*d = 0. What is d?
-2, -1, 0, 56
Let -5*v**3 + 30*v**2 + 425*v + 390 = 0. What is v?
-6, -1, 13
Let j**4 + 8*j**3/5 - 132*j**2/5 = 0. What is j?
-6, 0, 22/5
Let 6*k**4 + 177*k**3 + 807*k**2 + 360*k = 0. Calculate k.
-24, -5, -1/2, 0
Let -2*i**4/15 + 114*i**3/5 - 266*i**2/3 - 346*i/5 + 2004/5 = 0. Calculate i.
-2, 3, 167
Factor -2*u**4/11 - 64*u**3/11 - 576*u**2/11 - 2048*u/11 - 2560/11.
-2*(u + 4)**3*(u + 20)/11
Factor -4*h**4 - 52*h**3.
-4*h**3*(h + 13)
Factor -2*i**3/5 + 18*i**2/5 - 16*i/5.
-2*i*(i - 8)*(i - 1)/5
Factor 5*f**5 - 5*f**4 - 60*f**3.
5*f**3*(f - 4)*(f + 3)
Find c, given that 3*c**4/5 + 69*c**3/5 + 54*c**2/5 - 276*c/5 - 264/5 = 0.
-22, -2, -1, 2
Solve -3*a**5 - 51*a**4 - 186*a**3 + 240*a**2 = 0.
-10, -8, 0, 1
Let -q**3/11 + 74*q**2/11 = 0. Calculate q.
0, 74
Find o such that 5*o**5 - 30*o**4 + 5*o**3 + 240*o**2 - 460*o + 240 = 0.
-3, 1, 2, 4
Factor 3*n**4 - 729*n**3 - 3*n**2 + 729*n.
3*n*(n - 243)*(n - 1)*(n + 1)
Let 2*h**3 - 490*h**2/9 + 196*h - 368/9 = 0. What is h?
2/9, 4, 23
Find x, given that -4*x**2/25 + 242*x/25 + 122/25 = 0.
-1/2, 61
Determine b so that -b**3/4 - 15*b**2/2 + b/4 + 15/2 = 0.
-30, -1, 1
Find b such that -6*b**2 - 376*b + 126 = 0.
-63, 1/3
Let -4*u**4 + 44*u**3 - 132*u**2 + 148*u - 56 = 0. What is u?
1, 2, 7
Factor 2*r**4/5 + 6*r**3/5 - 8*r**2/5 - 24*r/5.
2*r*(r - 2)*(r + 2)*(r + 3)/5
Factor t**3 - 72*t**2/7 - 57*t/7 + 22/7.
(t - 11)*(t + 1)*(7*t - 2)/7
Factor -4*i**4 + 32*i**3 - 84*i**2 + 88*i - 32.
-4*(i - 4)*(i - 2)*(i - 1)**2
Let -3*f**5 - 180*f**4 + 753*f**3 - 954*f**2 + 384*f = 0. Calculate f.
-64, 0, 1, 2
Let -4*b**2 - 548*b - 2128 = 0. Calculate b.
-133, -4
Find k such that 25*k**4 - 2330*k**3 + 55665*k**2 - 63940*k + 10580 = 0.
1/5, 1, 46
Factor 80*b**4 + 14360*b**3 - 7195*b**2 + 900*b.
5*b*(b + 180)*(4*b - 1)**2
Let 4*o**2 + 4*o - 168 = 0. What is o?
-7, 6
Suppose -18*m**4/11 - 30*m**3/11 - 14*m**2/11 - 2*m/11 = 0. Calculate m.
-1, -1/3, 0
Let h**3/4 - 38*h**2 - 307*h/4 - 77/2 = 0. What is h?
-1, 154
Factor -q**4 - 6*q**3 + 15*q**2 - 8*q.
-q*(q - 1)**2*(q + 8)
Factor -4*i**2/9 + 18176*i/9 - 20647936/9.
-4*(i - 2272)**2/9
Factor -2*k**4/7 + 30*k**3 + 426*k**2/7 + 214*k/7.
-2*k*(k - 107)*(k + 1)**2/7
Factor t**4 - 17*t**3 - 18*t**2.
t**2*(t - 18)*(t + 1)
Find q, given that -7*q**5/3 + 5*q**4/3 + 2*q**3/3 = 0.
-2/7, 0, 1
Factor -9*v**4 + 29*v**3 - 6*v**2.
-v**2*(v - 3)*(9*v - 2)
Factor -u**4/3 - 33*u**3 - 1215*u**2 - 19683*u - 118098.
-(u + 18)*(u + 27)**3/3
What is p in -4*p**4 + 1800*p**3 - 204292*p**2 + 403200*p - 200704 = 0?
1, 224
Let -4*y**2 - 176*y + 2160 = 0. Calculate y.
-54, 10
Let -2*k**4/13 - 22*k**3/13 + 6*k**2/13 + 70*k/13 + 44/13 = 0. What is k?
-11, -1, 2
Determine k, given that k**3 + 82*k**2 - 83*k = 0.
-83, 0, 1
Solve -21*s**5 - 540*s**4 - 1797*s**3 - 1794*s**2 - 252*s + 264 = 0 for s.
-22, -2, -1, 2/7
Factor -5*h**2 - 1020*h + 3105.
-5*(h - 3)*(h + 207)
Solve 4*m**2/3 + 7888*m/3 + 3888784/3 = 0 for m.
-986
Let -3*a**4/7 + 333*a**3/7 + 9144*a**2/7 + 76224*a/7 + 207360/7 = 0. What is a?
-8, 135
Factor 4*m**2/9 + 692*m/9 + 680/3.
4*(m + 3)*(m + 170)/9
What is k in 36*k**2 + 2176*k + 960 = 0?
-60, -4/9
Factor 5*y**2 - 135*y - 290.
5*(y - 29)*(y + 2)
Factor 3*v**3/8 + 75*v**2/4 + 2139*v/8 + 1587/2.
3*(v + 4)*(v + 23)**2/8
Determine m so that -m**3 + 2007*m**2 + 8040*m + 8044 = 0.
-2, 2011
Determine o, given that 5*o**3 - 455*o**2 + 890*o = 0.
0, 2, 89
Let -2*x**5 - 8*x**4 - 6*x**3 = 0. Calculate x.
-3, -1, 0
What is q in -265*q**3 - 1595*q**2 - 2415*q - 45 = 0?
-3, -1/53
Factor x**3 + 55*x**2 + 158*x + 104.
(x + 1)*(x + 2)*(x + 52)
Factor -5*g**3 - 5*g**2 + 80*g + 80.
-5*(g - 4)*(g + 1)*(g + 4)
Solve -h**4/3 + h**3 + h**2/3 - h = 0.
-1, 0, 1, 3
Factor 2*z**2/17 + 548*z/17 + 37538/17.
2*(z + 137)**2/17
Factor 724*g**2 + 8*g/5.
4*g*(905*g + 2)/5
Find n such that n**5/5 - 7*n**4/5 + 11*n**3/5 + 19*n**2/5 - 12*n + 36/5 = 0.
-2, 1, 2, 3
Solve -4*b**2/3 - 224*b/3 - 144 = 0.
-54, -2
Determine j, given that -2*j**3/3 + 266*j**2/3 - 8710*j/3 - 8978/3 = 0.
-1, 67
Factor 15*b**3 + 27*b**2 - 126*b + 24.
3*(b - 2)*(b + 4)*(5*b - 1)
Factor 5*x**3 + 810*x**2 + 43740*x + 787320.
5*(x + 54)**3
Find g, given that g**4/4 + 29*g**3/4 + 39*g**2/2 - g - 26 = 0.
-26, -2, 1
Factor 5*p**3 + 40*p**2 + 35*p.
5*p*(p + 1)*(p + 7)
Solve 3*l**2 - 150*l = 0.
0, 50
Factor 4*l**4 + 232*l**3 + 1540*l**2 - 58800*l.
4*l*(l - 12)*(l + 35)**2
Let c**4 + 23*c**3 - 248*c**2 = 0. Calculate c.
-31, 0, 8
Factor -3*c**3/4 + 6*c**2 - 33*c/4 -