**4 + 405*u**3 + 2080*u**2 + 3600*u + 640.
5*(u + 4)**2*(u + 8)*(5*u + 1)
Factor -3*p**4 + 51*p**3 - 315*p**2 + 837*p - 810.
-3*(p - 6)*(p - 5)*(p - 3)**2
Suppose l**2/3 - 146*l/3 + 5329/3 = 0. What is l?
73
Determine u, given that -180*u**3 - 240*u**2 - 65*u - 5 = 0.
-1, -1/6
Factor -3*y**4 - 3114*y**3.
-3*y**3*(y + 1038)
Find p, given that -4*p**3/5 + 32*p**2/5 + 336*p/5 = 0.
-6, 0, 14
Suppose 5*t**3 - 485*t**2 + 1410*t = 0. What is t?
0, 3, 94
Factor 3*t**5 - 24*t**4 + 57*t**3 - 36*t**2.
3*t**2*(t - 4)*(t - 3)*(t - 1)
Determine g so that g**3 + 7*g**2 - 28*g + 20 = 0.
-10, 1, 2
Suppose -7*y**4/2 - 107*y**3/2 - 15*y**2 = 0. What is y?
-15, -2/7, 0
Solve -5*m**2 + 65100*m - 211900500 = 0.
6510
Find t such that -t**4 - 7*t**3 - 5*t**2 + 7*t + 6 = 0.
-6, -1, 1
Suppose -36*d**5 + 3468*d**4 - 14545*d**3 + 17808*d**2 - 4788*d + 368 = 0. Calculate d.
1/6, 2, 92
Suppose 2*l**4 + 50*l**3 + 252*l**2 = 0. Calculate l.
-18, -7, 0
Find a, given that 2*a**4/9 - 22*a**3/9 - 80*a**2/9 - 56*a/9 = 0.
-2, -1, 0, 14
Determine y, given that -5*y**5 + 180*y**4 + 10*y**3 - 360*y**2 - 5*y + 180 = 0.
-1, 1, 36
Factor -2*o**4 - 290*o**3 + 296*o**2 + 584*o.
-2*o*(o - 2)*(o + 1)*(o + 146)
Factor 36905625*f**4/8 - 36893475*f**3/4 + 36857029*f**2/8 + 6073*f/2 + 1/2.
(f - 1)**2*(6075*f + 2)**2/8
Suppose 455*u**3/4 + 229*u**2 + 467*u/4 + 3/2 = 0. What is u?
-1, -6/455
Solve 2*w**5/9 - 50*w**4/9 + 34*w**3/9 + 362*w**2/9 - 212*w/3 + 32 = 0 for w.
-3, 1, 2, 24
Suppose 20*n**5 + 385*n**4 - 360*n**3 - 1115*n**2 + 1670*n - 600 = 0. What is n?
-20, -2, 3/4, 1
Factor k**5 - 6*k**4 + 5*k**3 + 16*k**2 - 12*k - 16.
(k - 4)*(k - 2)**2*(k + 1)**2
Determine c so that c**5/2 - 29*c**4/2 + 219*c**3/2 - 59*c**2/2 - 448*c - 294 = 0.
-1, 3, 14
Factor -4*l**2 + 28*l + 120.
-4*(l - 10)*(l + 3)
Determine o so that o**4/3 - 10*o**3/3 + 17*o**2/3 - 8*o/3 = 0.
0, 1, 8
Find k such that 2*k**2/5 + 300*k + 56250 = 0.
-375
Find m, given that -2*m**3 - 384*m**2 + 2*m + 384 = 0.
-192, -1, 1
Solve -2*h**4/3 + 180*h**3 + 2186*h**2/3 + 548*h = 0 for h.
-3, -1, 0, 274
Factor -5*z**3 - 4605*z**2 - 1413735*z - 144672215.
-5*(z + 307)**3
Factor -v**5/4 + 5*v**4 - 63*v**3/2 + 35*v**2 + 1175*v/4 - 750.
-(v - 8)*(v - 5)**3*(v + 3)/4
Factor 2*i**5/7 - 12*i**3/7 + 16*i**2/7 - 6*i/7.
2*i*(i - 1)**3*(i + 3)/7
Suppose -82*c**2 + 2054*c - 100 = 0. Calculate c.
2/41, 25
Factor j**3/6 - j**2 - 157*j/6 - 85.
(j - 17)*(j + 5)*(j + 6)/6
Factor -z**3/9 - 14*z**2/9 + 31*z/9 - 16/9.
-(z - 1)**2*(z + 16)/9
Determine d, given that d**4 - 470*d**3 + 469*d**2 = 0.
0, 1, 469
Solve -5*m**3 - 120*m**2 - 925*m - 2250 = 0 for m.
-10, -9, -5
Factor 2*t**3/15 - 104*t**2/15 - 38*t.
2*t*(t - 57)*(t + 5)/15
Factor -4*h**2 - 96*h - 176.
-4*(h + 2)*(h + 22)
Determine q so that 4*q**4 + 266*q**3 + 648*q**2 + 514*q + 128 = 0.
-64, -1, -1/2
Let -4*x**2/7 - 4*x - 48/7 = 0. Calculate x.
-4, -3
Factor -6*s**4/5 - 18*s**3/5.
-6*s**3*(s + 3)/5
Suppose -o**5 - 4*o**4 - 4*o**3 + 2*o**2 + 5*o + 2 = 0. What is o?
-2, -1, 1
Factor -2*f**4 + 34*f**3 - 192*f**2 + 416*f - 256.
-2*(f - 8)*(f - 4)**2*(f - 1)
Factor -z**4/2 + 133*z**3/2 - 66*z**2.
-z**2*(z - 132)*(z - 1)/2
Let 5*z**3 + 680*z**2 + 1345*z + 670 = 0. What is z?
-134, -1
Let 5*n**5/4 - 11*n**4/4 + n**3/2 + 5*n**2/2 - 7*n/4 + 1/4 = 0. Calculate n.
-1, 1/5, 1
Find n, given that -2*n**3/7 + 260*n**2/7 + 152*n + 1072/7 = 0.
-2, 134
What is g in 4*g**2/7 - 28*g - 624/7 = 0?
-3, 52
Let -5*r**2 + 10*r + 15 = 0. Calculate r.
-1, 3
Suppose -5*h**2/6 + 29*h/6 + 7 = 0. What is h?
-6/5, 7
Factor -g**2/6 - 113*g/3 - 12769/6.
-(g + 113)**2/6
Find i, given that -3*i**2 + 69*i + 630 = 0.
-7, 30
Solve l**3/4 + 11*l**2/2 + 89*l/4 + 17 = 0.
-17, -4, -1
Suppose -5*v**3 + 15*v**2 + 20*v = 0. Calculate v.
-1, 0, 4
Suppose -t**5/4 - 3*t**4/4 + 9*t**3/4 - 5*t**2/4 = 0. Calculate t.
-5, 0, 1
Factor 4*h**2 + 280*h - 576.
4*(h - 2)*(h + 72)
Factor 2*f**4 - 56*f**3 + 44*f**2 + 264*f + 162.
2*(f - 27)*(f - 3)*(f + 1)**2
Factor -k**2/5 - 992*k/5 - 246016/5.
-(k + 496)**2/5
Suppose 2*h**5/5 - 36*h**4/5 + 16*h**3 + 156*h**2/5 - 82*h/5 - 24 = 0. What is h?
-1, 1, 4, 15
Solve a**4 + 223*a**3/3 - 203*a**2 + 179*a - 154/3 = 0.
-77, 2/3, 1
Factor 28*b**3 + 16*b**2 - 68*b + 24.
4*(b - 1)*(b + 2)*(7*b - 3)
Suppose -d**4 + 2*d**3 + 15*d**2 + 4*d - 20 = 0. What is d?
-2, 1, 5
Suppose -183*q**5/7 - 579*q**4/7 - 456*q**3/7 - 60*q**2/7 = 0. Calculate q.
-2, -1, -10/61, 0
Determine y, given that 2*y**5/3 - 14*y**4/3 - 16*y**3/3 + 328*y**2/3 - 832*y/3 + 640/3 = 0.
-5, 2, 4
Factor u**3 - 19*u**2 + 119*u - 245.
(u - 7)**2*(u - 5)
What is q in 4*q**2/5 + 12*q - 64/5 = 0?
-16, 1
Suppose -2*j**4 + 3210*j**3/7 - 182846*j**2/7 - 133170*j/7 + 52900/7 = 0. Calculate j.
-1, 2/7, 115
Factor 2*m**4/7 + 184*m**3/7 + 4044*m**2/7 - 8648*m/7 + 4418/7.
2*(m - 1)**2*(m + 47)**2/7
Factor 4*k**3 - 4*k**2 - 8*k.
4*k*(k - 2)*(k + 1)
Suppose 2*i**2 - 4212*i + 4210 = 0. Calculate i.
1, 2105
Let -g**5/9 + 8*g**4/9 + 25*g**3/9 - 164*g**2/9 + 20*g = 0. What is g?
-5, 0, 2, 9
Determine j, given that 5*j**5 + 200*j**4 - 120*j**3 - 5120*j**2 - 13040*j - 9600 = 0.
-40, -2, 6
Factor -5*l**3 + 180*l**2 - 345*l + 170.
-5*(l - 34)*(l - 1)**2
Factor -4*l**4 + 76*l**3 - 312*l**2.
-4*l**2*(l - 13)*(l - 6)
Factor -25*m**3 + 290*m**2 - 155*m - 110.
-5*(m - 11)*(m - 1)*(5*m + 2)
Suppose 2*x**5/13 - 72*x**4 - 940*x**3/13 + 72*x**2 + 938*x/13 = 0. Calculate x.
-1, 0, 1, 469
Factor -5*m**4/2 - 20*m**3 + 95*m**2/2 - 25*m.
-5*m*(m - 1)**2*(m + 10)/2
Determine y so that -25*y**2/4 + 245*y/4 + 25/2 = 0.
-1/5, 10
Factor -4*t**4 + 40*t**3 - 68*t**2 + 32*t.
-4*t*(t - 8)*(t - 1)**2
Let -2*x**3/7 - 72*x**2/7 + 74*x/7 = 0. What is x?
-37, 0, 1
Factor 2*m**3/7 - 838*m**2/7.
2*m**2*(m - 419)/7
Determine i, given that 2*i**5/5 + 4*i**4/5 - 2*i**3/5 - 4*i**2/5 = 0.
-2, -1, 0, 1
Determine x, given that x**2 + 14*x/3 - 8 = 0.
-6, 4/3
Factor -3*k**3 - 417*k**2 - 2409*k - 1995.
-3*(k + 1)*(k + 5)*(k + 133)
Factor -147*a**3/4 + 5565*a**2/4 + 1626*a + 468.
-3*(a - 39)*(7*a + 4)**2/4
Factor 2*c**2/3 + 358*c - 1076/3.
2*(c - 1)*(c + 538)/3
Factor 2*n**4 - 6*n**3 - 46*n**2 - 66*n - 28.
2*(n - 7)*(n + 1)**2*(n + 2)
Factor l**5/5 + 7*l**4/5 - 3*l**3 - 243*l**2/5 - 702*l/5 - 648/5.
(l - 6)*(l + 3)**3*(l + 4)/5
Let 3*n**4 - 114*n**3 + 1188*n**2 - 1944*n = 0. Calculate n.
0, 2, 18
Solve -54*n**2/7 - 652*n/7 - 48/7 = 0.
-12, -2/27
Factor -58*h**3/7 - 68*h**2.
-2*h**2*(29*h + 238)/7
Determine s, given that 21*s**3 - 135*s**2 - 93*s + 63 = 0.
-1, 3/7, 7
Suppose 2*r**3/11 - 9*r**2/11 - 23*r/11 + 30/11 = 0. Calculate r.
-5/2, 1, 6
Let 9*c**4 - 45*c**3 + 293*c**2/4 - 41*c + 5 = 0. What is c?
1/6, 5/6, 2
Suppose 3*n**4 - 60*n**3 - 69*n**2 + 126*n = 0. What is n?
-2, 0, 1, 21
Find i, given that -2*i**5 - 14*i**4 + 44*i**3 + 56*i**2 - 144*i = 0.
-9, -2, 0, 2
Factor -3*q**2/2 - 36*q - 210.
-3*(q + 10)*(q + 14)/2
Factor l**2/2 - 10*l - 69/2.
(l - 23)*(l + 3)/2
Factor 2*s**3 + 82*s**2 + 158*s + 78.
2*(s + 1)**2*(s + 39)
Find z, given that -2*z**5 + 4*z**4 + 56*z**3 + 92*z**2 + 42*z = 0.
-3, -1, 0, 7
Let -5*y**3 + 1075*y**2 - 2130*y = 0. What is y?
0, 2, 213
What is l in -3*l**3 + 105*l**2 - 1209*l + 4563 = 0?
9, 13
Solve -2*q**2/9 + 3124*q/3 - 1219922 = 0.
2343
Let 243*p**4 + 2079*p**3 + 984*p**2 - 756*p + 96 = 0. What is p?
-8, -1, 2/9
Factor 2*f**2/3 + 448*f + 75264.
2*(f + 336)**2/3
Determine c so that -3*c**3 - 1908*c**2 - 404496*c - 28584384 = 0.
-212
Let -5*p**5/2 + 135*p**4/2 + 285*p**3/2 + 145*p**2/2 = 0. What is p?
-1, 0, 29
Factor -2*w**3 + 8*w**2 + 1144*w.
-2*w*(w - 26)*(w + 22)
Factor -5*f**5 + 105*f**4 + 110*f**3.
-5*f**3*(f - 22)*(f + 1)
What is w in -2*w**3/9 + 6*w**2 - 16*w/3 - 104/9 = 0?
-1, 2, 26
Determine z so that -z**2/3 + 3*z + 22/3 = 0.
-2, 11
Solve -98*t**5 - 1232*t**4 - 5090*t**3 - 7908*t**2 - 3384*t - 432 = 0 for t.
-6, -3, -2/7
Let 3*a**5 + 9*a**4 - 60*a**3 - 252*a**2 - 240*a = 0. What is a?
-4, -2, 0, 5
Factor -5*h**3 + 205*h**2 - 1995*h - 2205.
-5*(h - 21)**2*(h + 1)
Find w, given that 3*w**2 - 108*w + 972 = 0.
18
Determine x so that -x**4/4 - 87*x**3 - 15311*x**2/2 - 15051*x - 29929/4 = 0.
-173, -1
Factor 4*u**3 + 100*u**2 + 72*u - 576.
4*(u - 2)*(u + 3)*(u + 24)
Factor 5*u**5 - 40*u**4 - 95*u**3 - 50*u**2.
5*u**2*(u - 10)*(u + 1)**2
Find a, given that 80*a**2 + 1452*a + 216 = 0.
-18, -3/20
