**3 - 111*c**2 + 30*c.
3*c*(c - 5)*(7*c - 2)
Determine t, given that 5*t**3 - 390*t**2 + 7980*t - 14440 = 0.
2, 38
Let 3*v**4/4 + 6*v**3 - 219*v**2/4 + 111*v - 63 = 0. What is v?
-14, 1, 2, 3
Factor -3*g**3/2 - 21*g**2 + 6*g + 84.
-3*(g - 2)*(g + 2)*(g + 14)/2
Factor -4*y**3 - 462*y**2 + 232*y.
-2*y*(y + 116)*(2*y - 1)
Suppose 2*q**5 + 40*q**4 - 50*q**3 - 160*q**2 + 168*q = 0. Calculate q.
-21, -2, 0, 1, 2
Determine f, given that -2*f**4/7 - 26*f**3/7 - 58*f**2/7 + 26*f/7 + 60/7 = 0.
-10, -3, -1, 1
Factor 1035*u**3 - 591*u**2 - 1674*u - 48.
3*(u + 1)*(5*u - 8)*(69*u + 2)
Find s such that -s**3/5 + 3*s**2 + 33*s/5 + 17/5 = 0.
-1, 17
Find l, given that -l**2 + 632*l - 1260 = 0.
2, 630
Factor 2*y**3/9 - 40*y**2/9 - 350*y/3.
2*y*(y - 35)*(y + 15)/9
Find k such that -15*k**2 - 110*k - 120 = 0.
-6, -4/3
Factor 2*i**2/13 - 2684*i/13.
2*i*(i - 1342)/13
Factor 2*l**3 + 20*l**2 + 46*l + 28.
2*(l + 1)*(l + 2)*(l + 7)
Determine n, given that n**3 - 20*n**2 + 128*n - 256 = 0.
4, 8
Solve -3*t**2/7 + 45*t/7 - 6 = 0 for t.
1, 14
Find q, given that -q**5 + 16*q**4 + 54*q**3 + 56*q**2 + 19*q = 0.
-1, 0, 19
Factor -4*y**2 + 25112*y - 39413284.
-4*(y - 3139)**2
Factor 5*m**3 - 580*m**2 - 585*m.
5*m*(m - 117)*(m + 1)
Find x such that x**4/3 + 293*x**3 - 587*x**2 + 881*x/3 = 0.
-881, 0, 1
Factor -4*u**2/7 - 60*u/7 + 64/7.
-4*(u - 1)*(u + 16)/7
What is l in 21660*l**5 - 13585*l**4 - 1470*l**3 + 660*l**2 - 40*l = 0?
-1/4, 0, 2/19, 2/3
Solve 5*t**4 - 15*t**3 - 90*t**2 + 160*t + 480 = 0.
-3, -2, 4
Factor 2*g**3 + 16*g**2 + 30*g.
2*g*(g + 3)*(g + 5)
Factor -2*m**2/5 + 32*m - 640.
-2*(m - 40)**2/5
Solve -2*t**2/11 + 5360*t/11 - 5358/11 = 0.
1, 2679
Solve 21*p**2/2 + 169*p/4 + 1 = 0.
-4, -1/42
Factor -27*c**3/8 + 15*c**2/2 - 39*c/8 + 3/4.
-3*(c - 1)**2*(9*c - 2)/8
Determine q, given that 21*q**2 + 4623*q + 660 = 0.
-220, -1/7
Suppose -2*j**4/11 - 104*j**3/11 - 1836*j**2/11 - 11560*j/11 - 9826/11 = 0. Calculate j.
-17, -1
Solve 7*d**5 + 1020*d**4 - 6592*d**3 + 14512*d**2 - 12144*d + 2432 = 0 for d.
-152, 2/7, 2
Solve -2*g**2 - 304*g - 600 = 0.
-150, -2
Solve b**3 + 11*b**2 + 39*b + 45 = 0 for b.
-5, -3
Let 2*v**3/3 - 8*v**2/3 - 14*v = 0. Calculate v.
-3, 0, 7
Factor 2*k**4 + 122*k**3 + 2520*k**2 + 18400*k + 16000.
2*(k + 1)*(k + 20)**3
Suppose -141*y**2/5 + 147*y/5 - 6/5 = 0. Calculate y.
2/47, 1
Let 3*f**3 + 12*f**2 - 21*f - 30 = 0. Calculate f.
-5, -1, 2
Solve 3*r**5 + 12*r**4 - 42*r**2 - 51*r - 18 = 0.
-3, -1, 2
Determine h, given that 2*h**4/5 - 26*h**3/5 - 18*h**2 - 94*h/5 - 32/5 = 0.
-1, 16
Let 3*c**2 - 72*c = 0. Calculate c.
0, 24
Determine o so that 4*o**2/5 - 493*o/5 + 123/5 = 0.
1/4, 123
Find a such that -2*a**4/5 + 28*a**3/5 - 96*a**2/5 - 28*a/5 + 98/5 = 0.
-1, 1, 7
Factor h**3 + 132*h**2 - 268*h.
h*(h - 2)*(h + 134)
Find m such that 2*m**4 + 9*m**3/2 + 3*m**2 + m/2 = 0.
-1, -1/4, 0
Factor 5*i**3 + 15*i**2 - 305*i - 315.
5*(i - 7)*(i + 1)*(i + 9)
Determine x, given that -343*x**4 + 20188*x**3 - 17136*x**2 + 4880*x - 464 = 0.
2/7, 58
Factor -4*r**2 - 952*r - 56644.
-4*(r + 119)**2
Determine t so that -22*t**2/3 - 328*t/3 + 10 = 0.
-15, 1/11
Determine m, given that m**3/3 - 17*m**2/3 + 22*m/3 + 40 = 0.
-2, 4, 15
What is s in -28*s**3/15 + 334*s**2/15 + 808*s/15 + 56/15 = 0?
-2, -1/14, 14
Factor 3*r**4/5 + 12*r**3/5.
3*r**3*(r + 4)/5
Factor -s**5 + 244*s**4 + 738*s**3 + 740*s**2 + 247*s.
-s*(s - 247)*(s + 1)**3
Let d**3 + 25*d**2 - 26*d = 0. Calculate d.
-26, 0, 1
Factor -2*y**3/5 - 8*y**2/5 + 38*y/5 - 28/5.
-2*(y - 2)*(y - 1)*(y + 7)/5
Factor 2*l**3 - 42*l**2 - 44*l.
2*l*(l - 22)*(l + 1)
Determine h so that -4*h**5 - 36*h**4 + 84*h**3 + 980*h**2 = 0.
-7, 0, 5
Let -s**5 - 112*s**4 - 4323*s**3 - 62532*s**2 - 198288*s - 139968 = 0. What is s?
-36, -3, -1
Factor 54*w**4 - 1944*w**3 + 23940*w**2 - 107800*w + 85750.
2*(w - 1)*(3*w - 35)**3
Find s, given that s**2 + 3*s - 4 = 0.
-4, 1
Factor -3*p**3/8 - 105*p**2 + 3*p/8 + 105.
-3*(p - 1)*(p + 1)*(p + 280)/8
Factor -3*b**4/2 - 2301*b**3/2 + 4611*b**2/2 - 2307*b/2.
-3*b*(b - 1)**2*(b + 769)/2
Factor -f**2/6 + 3*f - 27/2.
-(f - 9)**2/6
Factor 2*x**4 + 22*x**3 + 76*x**2 + 104*x + 48.
2*(x + 1)*(x + 2)**2*(x + 6)
Factor -v**5 + 3*v**3 + 2*v**2.
-v**2*(v - 2)*(v + 1)**2
Let 49*y**3/9 + 70*y**2/9 - 52*y/9 + 8/9 = 0. Calculate y.
-2, 2/7
Factor 2*q**2/3 - 220*q - 1328/3.
2*(q - 332)*(q + 2)/3
Find w, given that 2*w**3/7 - 22*w**2/7 + 30*w/7 + 54/7 = 0.
-1, 3, 9
Suppose -m**3/4 + 21*m**2/4 - 135*m/4 + 243/4 = 0. What is m?
3, 9
Find z, given that 36*z**4 + 56*z**3 - 68*z**2 - 56*z + 32 = 0.
-2, -1, 4/9, 1
Solve -3*p**4 + 66*p**3 - 495*p**2 + 1500*p - 1500 = 0.
2, 5, 10
What is z in -z**3 - 4*z**2 + 109*z - 104 = 0?
-13, 1, 8
Find c, given that -147*c**5/5 - 15519*c**4/5 - 16290*c**3 + 45444*c**2/5 + 44472*c/5 + 1440 = 0.
-100, -6, -2/7, 1
Suppose 2*r**4/13 - 524*r**3/13 + 34322*r**2/13 = 0. Calculate r.
0, 131
Factor 21*f**2 - 75*f - 36.
3*(f - 4)*(7*f + 3)
Find t, given that -3*t**4/5 + 63*t**3/5 - 303*t**2/5 + 513*t/5 - 54 = 0.
1, 2, 3, 15
Factor -p**4/5 + 16*p**3/5 + 151*p**2/5 + 46*p.
-p*(p - 23)*(p + 2)*(p + 5)/5
Let 14*z**2/3 - 4*z - 2/3 = 0. Calculate z.
-1/7, 1
Solve -i**2/7 + 438*i/7 - 437/7 = 0 for i.
1, 437
Solve -5*m**5 + 35*m**4 + 90*m**3 - 950*m**2 + 875*m + 1875 = 0.
-5, -1, 3, 5
Solve -21*m**3 + 45*m**2 + 57*m - 9 = 0.
-1, 1/7, 3
Determine w so that -4*w**5 + 592*w**4 - 2892*w**3 + 4592*w**2 - 2288*w = 0.
0, 1, 2, 143
Solve -5*b**3 + 1335*b**2 - 93600*b + 591500 = 0 for b.
7, 130
Determine f so that -4*f**3/9 + 64*f**2/9 = 0.
0, 16
Determine x so that 2*x**5 - 28*x**4/3 + 32*x**3/3 - 4*x**2/3 - 2*x = 0.
-1/3, 0, 1, 3
Let -2*r**4 + 4*r**3/3 + 338*r**2/3 + 112*r/3 = 0. What is r?
-7, -1/3, 0, 8
Determine x so that -12*x**5 + 88*x**4 + 80*x**3 - 120*x**2 - 68*x + 32 = 0.
-1, 1/3, 1, 8
Factor -2*c**5/11 - 4*c**4/11 + 2*c**3 + 24*c**2/11 - 72*c/11.
-2*c*(c - 2)**2*(c + 3)**2/11
Determine q so that -2*q**3/25 - 2*q**2/25 + 266*q/25 + 1274/25 = 0.
-7, 13
Determine i, given that i**2/7 - 16*i + 448 = 0.
56
What is d in 2*d**2/9 - 322*d/9 = 0?
0, 161
Factor -2*z**2/15 + 14*z/15 - 4/3.
-2*(z - 5)*(z - 2)/15
Determine i so that -10*i**2 - 109*i - 99 = 0.
-99/10, -1
Factor -2*b**5 - 14*b**4 + 6*b**3 + 86*b**2 - 124*b + 48.
-2*(b - 1)**3*(b + 4)*(b + 6)
Determine y, given that 2*y**4 + 198*y**3 + 576*y**2 - 8*y - 768 = 0.
-96, -2, 1
Factor 2*i**3/5 - 4*i**2/5.
2*i**2*(i - 2)/5
Factor -16*t**3/5 + 36*t**2/5 + 36*t/5.
-4*t*(t - 3)*(4*t + 3)/5
Factor -2*c**3/5 - 54*c**2/5 - 336*c/5 + 392/5.
-2*(c - 1)*(c + 14)**2/5
Factor -b**4 - 13*b**3 - 52*b**2 - 60*b.
-b*(b + 2)*(b + 5)*(b + 6)
Factor 2*n**2/7 - 128*n/7 + 248/7.
2*(n - 62)*(n - 2)/7
Find n, given that -4*n**2 + 52*n + 56 = 0.
-1, 14
What is f in 2*f**3/3 - 248*f**2 + 23310*f - 136900/3 = 0?
2, 185
Factor -2*u**4/3 + 788*u**3/3 - 25342*u**2 - 313624*u/3 - 316808/3.
-2*(u - 199)**2*(u + 2)**2/3
Let 3*b**2/2 + 13*b/8 + 1/8 = 0. Calculate b.
-1, -1/12
Determine z so that z**2/4 + z/2 = 0.
-2, 0
Factor -k**2/6 - 67*k.
-k*(k + 402)/6
Determine f, given that 3*f**3/8 - 3*f**2/8 = 0.
0, 1
Factor 5*k**2 + 230*k - 1000.
5*(k - 4)*(k + 50)
Suppose 4*c**3 + 62*c**2 + 84*c = 0. Calculate c.
-14, -3/2, 0
Factor 4*c**3 - 824*c**2 + 2436*c.
4*c*(c - 203)*(c - 3)
Solve 3*x**3/5 + 114*x**2/5 + 1188*x/5 + 1944/5 = 0 for x.
-18, -2
Factor 2*y**4 - 28*y**3 - 62*y**2 - 32*y.
2*y*(y - 16)*(y + 1)**2
Factor v**3 + 127*v**2 - 789*v + 1197.
(v - 3)**2*(v + 133)
Factor 2*c**3/7 + 6408*c**2/7 + 5132808*c/7.
2*c*(c + 1602)**2/7
Suppose d**3 - 4*d**2 + 3*d = 0. Calculate d.
0, 1, 3
Factor 3*i**3/5 - 39*i**2/5 + 66*i/5.
3*i*(i - 11)*(i - 2)/5
Factor 3*x**3 + 123*x**2 + 540*x.
3*x*(x + 5)*(x + 36)
Factor 2*m**3/9 - 10*m**2/3 - 44*m/9 + 64/3.
2*(m - 16)*(m - 2)*(m + 3)/9
Solve 2*z**3 + 8*z**2/3 - 160*z/9 + 128/9 = 0.
-4, 4/3
Solve -3*d**3 + 60*d**2 - 279*d + 378 = 0 for d.
3, 14
Factor 2*o**2 + 656*o.
2*o*(o + 328)
Factor h**5/2 - 11*h**4/2 + 7*h**3/2 + 35*h**2/2 - 26*h + 10.
(h - 10)*(h - 1)**3*(h + 2)/2
Find a such that -5*a**2 - 5*a + 10 = 0.
-2, 1
Solve 3*w**2 + 72*w + 405 = 0 for w.
-15, -9
Determine k, given that -k**2/8 - 21*k/4 - 55 = 0.
-22, -20
Suppose -4*v**3 - 724*v**2 + 728*v = 0. Calculate v.
-182, 0, 1
Suppose o**5/7 + 6*o**4/7 + 13*o**3/7 + 12*o**2/7 + 4*o/7 = 0. What is o?
-2, -1, 0
Let