 2*k**2 + 226*k + 224.
2*(k + 1)*(k + 112)
Find s, given that -2*s**4/15 + 2*s**3/5 + 14*s**2/15 - 18*s/5 + 12/5 = 0.
-3, 1, 2, 3
Solve -x**4 - 106*x**3 - 312*x**2 - 310*x - 103 = 0.
-103, -1
Let f**4/6 + f**3/2 + f**2/3 = 0. What is f?
-2, -1, 0
Factor 3*n**3/4 + 6*n**2 - 36*n.
3*n*(n - 4)*(n + 12)/4
Let i**2 - 108*i + 2916 = 0. Calculate i.
54
Determine v, given that 14*v**5 - 53*v**4 - 112*v**3 + 477*v**2 - 126*v = 0.
-3, 0, 2/7, 3, 7/2
Suppose a**5 + 4*a**4 - 10*a**2 - a + 6 = 0. What is a?
-3, -2, -1, 1
Find a, given that -2*a**3/5 + 14*a**2/5 + 88*a/5 = 0.
-4, 0, 11
Let -2*c**2/15 - 1304*c/5 - 637656/5 = 0. Calculate c.
-978
Find h, given that -h**3 + 7*h**2 - 15*h + 9 = 0.
1, 3
Factor 10*q**3 + 2295*q**2 - 17740*q + 8295.
5*(q - 7)*(q + 237)*(2*q - 1)
Factor u**4/2 + u**3/2 - 3*u**2/2 - u/2 + 1.
(u - 1)**2*(u + 1)*(u + 2)/2
Suppose -3*x**3 + 123*x**2 - 237*x + 117 = 0. Calculate x.
1, 39
Factor -2*q**4/9 - 512*q**3/9 - 4816*q**2 - 1183360*q/9 + 2544224/9.
-2*(q - 2)*(q + 86)**3/9
Solve 5*v**2 - 134*v/3 - 3 = 0 for v.
-1/15, 9
Factor u**4/5 - 1016*u**3/5 + 258063*u**2/5 + 1016*u/5 - 258064/5.
(u - 508)**2*(u - 1)*(u + 1)/5
Suppose 135*w**5 - 27*w**4 - 366*w**3 - 228*w**2 - 24*w = 0. Calculate w.
-1, -2/3, -2/15, 0, 2
Find r such that -5*r**4 - 590*r**3 - 17405*r**2 = 0.
-59, 0
Factor 5*f**2 + 2315*f + 4610.
5*(f + 2)*(f + 461)
Factor i**2/5 + i/5.
i*(i + 1)/5
Factor -3*r**5/2 - 3*r**4/2 + 9*r**3.
-3*r**3*(r - 2)*(r + 3)/2
Find j such that -j**5 + 863*j**4 + 864*j**3 = 0.
-1, 0, 864
Factor 2*x**3 - 6*x**2 - 12*x + 16.
2*(x - 4)*(x - 1)*(x + 2)
Let -2*l**4/5 + 38*l**3/3 - 1472*l**2/15 - 512*l/15 = 0. What is l?
-1/3, 0, 16
Determine x so that 35*x**4 - 515*x**3 - 3440*x**2 - 5140*x - 1200 = 0.
-3, -2, -2/7, 20
What is c in 2*c**3/17 + 32*c**2/17 - 94*c - 1628/17 = 0?
-37, -1, 22
Suppose h**2/5 + 146*h + 26645 = 0. What is h?
-365
Find p such that 3*p**3/4 - 69*p**2/4 + 513*p/4 - 1215/4 = 0.
5, 9
Factor -c**2/4 + 3*c/2.
-c*(c - 6)/4
Factor 4*b**5/5 + 68*b**4/5 + 92*b**3 + 1548*b**2/5 + 2592*b/5 + 1728/5.
4*(b + 3)**3*(b + 4)**2/5
Find u, given that 4*u**4 - 384*u**3 + 1492*u**2 - 1848*u + 736 = 0.
1, 2, 92
Factor -9*s**2/8 + 39*s + 321/8.
-3*(s + 1)*(3*s - 107)/8
Find d such that -5*d**2 + 70*d - 245 = 0.
7
Factor -2*g**3/7 - 120*g**2/7 - 234*g/7 - 116/7.
-2*(g + 1)**2*(g + 58)/7
Factor -4*v**5 - 64*v**4 - 352*v**3 - 768*v**2 - 576*v.
-4*v*(v + 2)**2*(v + 6)**2
Find k such that 4*k**3 + 448*k**2 - 912*k = 0.
-114, 0, 2
Solve -5*q**4 + 360*q**3 - 5310*q**2 - 42120*q - 68445 = 0.
-3, 39
What is w in 2*w**2/5 - 232*w/5 - 450 = 0?
-9, 125
Determine s so that -3*s**2 - 36*s + 1620 = 0.
-30, 18
Factor -3*u**2 - 552*u + 555.
-3*(u - 1)*(u + 185)
Determine z, given that 6*z**4/5 + 228*z**3/5 + 2358*z**2/5 + 648*z - 5832/5 = 0.
-18, -3, 1
Let b**4/2 + 17*b**3/2 + 39*b**2 + 70*b + 44 = 0. Calculate b.
-11, -2
Let 12*l**5 + 816*l**4 + 3891*l**3 + 7083*l**2 + 5697*l + 1701 = 0. What is l?
-63, -3/2, -1
Suppose 3*y**3 + 75*y**2 - 543*y + 465 = 0. What is y?
-31, 1, 5
Let 1225*y**5 - 130935*y**4 - 14976*y**3 - 428*y**2 = 0. What is y?
-2/35, 0, 107
Determine n so that 3*n**2 - 147*n + 282 = 0.
2, 47
Let -u**4 + 18*u**3 - 11*u**2 - 102*u = 0. What is u?
-2, 0, 3, 17
Factor 4*m**3 - 16*m**2 - 4*m + 16.
4*(m - 4)*(m - 1)*(m + 1)
Find y such that -4*y**2/7 + 736*y/7 - 33856/7 = 0.
92
Solve h**5/2 + 415*h**4/2 + 1647*h**3/2 + 1233*h**2/2 = 0 for h.
-411, -3, -1, 0
Solve 8*q**4/3 - 2942*q**3/9 + 190*q**2 - 244*q/9 = 0.
0, 1/4, 1/3, 122
Find b such that 28*b**5 - 132*b**4 + 100*b**3 + 180*b**2 - 128*b - 48 = 0.
-1, -2/7, 1, 2, 3
Factor 3*b**3/7 + 9*b**2/7 - 282*b/7 + 72.
3*(b - 7)*(b - 2)*(b + 12)/7
Factor -4*r**4/5 + 1064*r**3/5 - 93012*r**2/5 + 2960048*r/5 - 30958096/5.
-4*(r - 107)**2*(r - 26)**2/5
Suppose 4*r**5 + 72*r**4 + 432*r**3 + 952*r**2 + 588*r = 0. What is r?
-7, -3, -1, 0
Factor 3*d**2/5 + 612*d/5 - 1236/5.
3*(d - 2)*(d + 206)/5
Find p such that p**2 - p - 20 = 0.
-4, 5
Solve -26*o**4 - 82*o**3/3 - 4*o**2/3 = 0.
-1, -2/39, 0
Factor 2*p**3 - 34*p**2 - 74*p - 38.
2*(p - 19)*(p + 1)**2
Find d such that -d**3/4 + 77*d**2/2 + 629*d/4 + 237/2 = 0.
-3, -1, 158
Suppose 2*r**3/13 - 1400*r**2/13 - 2806*r/13 - 108 = 0. Calculate r.
-1, 702
Factor 4*n**3 + 28*n**2 - 160*n + 176.
4*(n - 2)**2*(n + 11)
Solve 3*h**5 + 15*h**4 - 45*h**3 - 15*h**2 + 42*h = 0 for h.
-7, -1, 0, 1, 2
Find u, given that -u**2/6 + 653*u/6 - 326/3 = 0.
1, 652
Factor 2*j**3/17 - 230*j**2/17 + 452*j/17.
2*j*(j - 113)*(j - 2)/17
Factor 4*z**3 - 144*z**2 + 1140*z + 2888.
4*(z - 19)**2*(z + 2)
Factor -24*g**5/7 + 4*g**4/7 + 4*g**3/7.
-4*g**3*(2*g - 1)*(3*g + 1)/7
Factor 2*k**3/5 + 64*k**2/5 + 58*k/5 - 124/5.
2*(k - 1)*(k + 2)*(k + 31)/5
Determine r, given that -r**2/3 - 1240*r/3 - 384400/3 = 0.
-620
Solve 3*u**5/5 + 24*u**4 + 1068*u**3/5 - 2766*u**2/5 - 1071*u/5 + 2646/5 = 0 for u.
-21, -1, 1, 2
Factor -66*s**2 + 21*s + 6.
-3*(2*s - 1)*(11*s + 2)
Find l such that -2*l**5 + 100*l**4 - 1236*l**3 - 712*l**2 + 9350*l - 7500 = 0.
-3, 1, 2, 25
What is f in 3*f**3/4 + 75*f**2/4 + 225*f/2 = 0?
-15, -10, 0
What is u in -u**3/2 + 579*u**2 - 223494*u + 28756228 = 0?
386
Factor 2*y**4/7 + 6*y**3/7 - 36*y**2/7 + 8*y/7 + 48/7.
2*(y - 2)**2*(y + 1)*(y + 6)/7
Factor 3*l**3/5 + 18*l**2/5 + 27*l/5 + 12/5.
3*(l + 1)**2*(l + 4)/5
What is r in -12*r**4 - 196*r**3 - 996*r**2 - 1596*r - 784 = 0?
-7, -4/3, -1
Factor -4*a**2 - 9896*a.
-4*a*(a + 2474)
Find u, given that 2*u**3/5 + 104*u**2/5 + 72*u - 1152/5 = 0.
-48, -6, 2
What is c in -2*c**5 + 16*c**4 - 22*c**3 - 16*c**2 + 24*c = 0?
-1, 0, 1, 2, 6
Determine v, given that -v**4/5 + 3*v**3/5 + 18*v**2/5 - 32*v/5 - 96/5 = 0.
-3, -2, 4
Factor a**3 + 23*a**2 + 43*a + 21.
(a + 1)**2*(a + 21)
Suppose 5*t**5 + 45*t**4 - 70*t**3 - 660*t**2 + 1640*t - 960 = 0. What is t?
-8, -6, 1, 2
Find a such that 4*a**5 - 264*a**4 + 4832*a**3 - 15112*a**2 - 4836*a + 15376 = 0.
-1, 1, 4, 31
Suppose -19*i**2 - 122*i + 240 = 0. Calculate i.
-8, 30/19
Factor -7*m**3 + 492*m**2 - 623*m + 138.
-(m - 69)*(m - 1)*(7*m - 2)
Suppose -j**4/3 + 4*j**3/3 - 2*j**2/3 - 4*j/3 + 1 = 0. Calculate j.
-1, 1, 3
Solve t**5/8 + 29*t**4/8 - 65*t**3/8 - 89*t**2/8 + 16*t + 31/2 = 0.
-31, -1, 2
Let -3*q**2 - 3024*q - 762048 = 0. What is q?
-504
Determine h so that h**4 + 36*h**3 - 81*h**2 - 184*h + 228 = 0.
-38, -2, 1, 3
Factor -l**2 + 17*l - 66.
-(l - 11)*(l - 6)
Factor -5*q**3 - 55*q**2.
-5*q**2*(q + 11)
Suppose 2*c**4 - 358*c**3 + 346*c**2 + 1774*c + 1068 = 0. Calculate c.
-1, 3, 178
What is o in 2*o**5/19 - 22*o**4/19 + 58*o**3/19 + 22*o**2/19 - 60*o/19 = 0?
-1, 0, 1, 5, 6
Solve -3*g**5/5 - 18*g**4/5 + 9*g**3/5 + 48*g**2/5 - 36*g/5 = 0.
-6, -2, 0, 1
Factor 652*p**5/7 + 4556*p**4/7 - 8*p**3.
4*p**3*(p + 7)*(163*p - 2)/7
Factor -3*o**4/2 + 519*o**3 - 60030*o**2 + 2340825*o - 4562625/2.
-3*(o - 115)**3*(o - 1)/2
Let 4*x**2/3 - 92*x/3 - 560/3 = 0. What is x?
-5, 28
Suppose a**5/4 + a**4/4 - 25*a**3/4 - a**2/4 + 42*a - 36 = 0. Calculate a.
-4, 1, 3
Solve -s**4/6 + 3266*s**3/3 - 5333378*s**2/3 = 0 for s.
0, 3266
Let u**5/3 + u**4/3 - 7*u**3 - u**2/3 + 20*u/3 = 0. What is u?
-5, -1, 0, 1, 4
Factor 4*g**2/3 + 712*g/3 + 31684/3.
4*(g + 89)**2/3
Factor 4*i**3 - 460*i**2 + 904*i.
4*i*(i - 113)*(i - 2)
Solve -3*g**4/5 + 66*g**3/5 - 321*g**2/5 - 78*g = 0.
-1, 0, 10, 13
Factor -10*o**2/7 - 1552*o/7 - 310/7.
-2*(o + 155)*(5*o + 1)/7
Solve -4*o**4 + 212*o**3 + 436*o**2 + 220*o = 0 for o.
-1, 0, 55
Factor 2*i**3 - 64*i**2 - 134*i - 68.
2*(i - 34)*(i + 1)**2
Factor k**2 + 1778*k - 1779.
(k - 1)*(k + 1779)
Solve m**4 - 23*m**3 + 63*m**2 - 61*m + 20 = 0.
1, 20
Factor -3*i**4 + 450*i**3 - 21711*i**2 + 362700*i - 1948908.
-3*(i - 62)**2*(i - 13)**2
Factor z**4 + 2*z**3 + z**2.
z**2*(z + 1)**2
Factor y**3/2 + 174*y**2 + 15138*y.
y*(y + 174)**2/2
Determine o so that o**3/4 - o**2/4 - o/4 + 1/4 = 0.
-1, 1
Find l, given that -3*l**2/4 + 2895*l - 2793675 = 0.
1930
Let -m**4 - 5*m**3 + 22*m**2 - 16*m = 0. What is m?
-8, 0, 1, 2
Determine y so that -2*y**3/9 - 10*y**2/3 + 32*y/9 = 0.
-16, 0, 1
Factor -2*h**2/7 - 352*h/7 - 15488/7.
-2*(h + 88)**2/7
Factor 2*a**3/7 + 10*a**2/7 - 114*a/7 + 198/7.
2*(a - 3)**2*(a + 11)/7
Determine x so that x**2 - 82*x + 1681 = 0.
41
Factor -f**3 + 112*f + 384.
-(f - 12)*(f + 4)*(f + 8)
Factor 75*z**4 + 1