**2/7 - 891*m/7 - 54/7.
(m - 3)**3*(35*m + 2)/7
Find b such that -2*b**3/3 + 40*b**2/3 = 0.
0, 20
Factor -l**3 - 111*l**2 - 2784*l + 16820.
-(l - 5)*(l + 58)**2
Let -2*r**2/11 + 90*r/11 - 592/11 = 0. Calculate r.
8, 37
Factor 2*b**2/11 - 72*b/11 + 648/11.
2*(b - 18)**2/11
Suppose 306*d**3 - 894*d**2 - 1216*d/17 - 24/17 = 0. Calculate d.
-2/51, 3
Let j**5 - 9*j**4 + 21*j**3 + j**2 - 30*j = 0. Calculate j.
-1, 0, 2, 3, 5
Find k such that -20*k**5/9 - 1768*k**4/9 + 1076*k**3/9 + 712*k**2/9 = 0.
-89, -2/5, 0, 1
What is k in 6*k**3/5 - 2944*k**2/5 + 16478*k/5 + 1164 = 0?
-1/3, 6, 485
Solve -3*n**4 - 21*n**3 - 42*n**2 - 24*n = 0 for n.
-4, -2, -1, 0
Suppose -3*o**4 + 4*o**3 + 5*o**2/3 - 4*o + 4/3 = 0. What is o?
-1, 2/3, 1
Let -m**3 - 153*m**2 - 302*m = 0. Calculate m.
-151, -2, 0
Solve 6*x**2/11 + 9018*x/11 = 0 for x.
-1503, 0
Factor -3*f**3 - 21*f**2 - 48*f - 36.
-3*(f + 2)**2*(f + 3)
Determine i, given that -8*i**5/15 + 14*i**4/3 - 166*i**3/15 - 22*i**2/15 + 98*i/5 + 24/5 = 0.
-1, -1/4, 3, 4
Suppose 12*d**4/7 + 832*d**3/7 - 1464*d**2/7 - 448*d - 852/7 = 0. Calculate d.
-71, -1, -1/3, 3
Factor 2*x**3 + 246*x**2.
2*x**2*(x + 123)
Factor -g**4/9 + 2*g**3/9 + 95*g**2/9 + 100*g/3.
-g*(g - 12)*(g + 5)**2/9
Factor 5*s**4 + 575*s**3 + 1135*s**2 + 565*s.
5*s*(s + 1)**2*(s + 113)
Suppose 25*o**5 - 760*o**4 - 10100*o**3 - 31090*o**2 - 11525*o + 10250 = 0. What is o?
-5, -1, 2/5, 41
Factor -f**2/6 - 5*f/3 + 4.
-(f - 2)*(f + 12)/6
Suppose -2*r**5 - 82*r**4 + 348*r**3 - 532*r**2 + 358*r - 90 = 0. Calculate r.
-45, 1
Determine w, given that 3*w**2/5 + 678*w/5 + 38307/5 = 0.
-113
Solve -u**2/4 + 9*u - 81 = 0.
18
Determine o, given that o**5/4 + 5*o**4/4 - 249*o**3/4 - 257*o**2/4 + 62*o + 63 = 0.
-18, -1, 1, 14
Factor n**2 + 1212*n.
n*(n + 1212)
Let 4*v**4 + 220*v**3 + 3132*v**2 + 2916*v = 0. Calculate v.
-27, -1, 0
What is c in 4*c**2/7 + 1532*c/7 - 7760/7 = 0?
-388, 5
Factor 8*g**3 - 74*g**2 - 62*g + 20.
2*(g - 10)*(g + 1)*(4*g - 1)
Factor 3*n**2 + 87*n + 162.
3*(n + 2)*(n + 27)
What is d in -2*d**5/5 + 8*d**3/5 = 0?
-2, 0, 2
Suppose 900*t**3 - 7080*t**2 - 956*t - 32 = 0. What is t?
-1/15, 8
Find s, given that 2*s**2/15 + 2356*s/15 - 786/5 = 0.
-1179, 1
Factor -a**3 - 706*a**2 - 124609*a.
-a*(a + 353)**2
Factor 5*y**3 + 120*y**2 + 595*y.
5*y*(y + 7)*(y + 17)
Suppose -3*q**5 + 351*q**4 - 10779*q**3 + 29925*q**2 - 19494*q = 0. Calculate q.
0, 1, 2, 57
Solve -165*u**5 + 1805*u**4 - 1375*u**3 - 1905*u**2 + 1540*u + 100 = 0 for u.
-1, -2/33, 1, 10
Solve 2*p**2/7 - 184*p/7 + 4232/7 = 0 for p.
46
Let -3*c**5 - 4*c**4 + 5*c**3 + 2*c**2 = 0. Calculate c.
-2, -1/3, 0, 1
What is v in 2*v**5 + 10*v**4 - 246*v**3 - 530*v**2 + 5852*v + 11760 = 0?
-12, -5, -2, 7
Let -3*y**2 - 477*y + 966 = 0. What is y?
-161, 2
Factor t**3/5 + 106*t**2/5 + 540*t - 5832/5.
(t - 2)*(t + 54)**2/5
Find j, given that -32*j**2 - 100*j - 12 = 0.
-3, -1/8
Factor -9*x**2 + 69*x + 24.
-3*(x - 8)*(3*x + 1)
What is f in f**3/2 + 20*f**2 - 231*f/2 - 135 = 0?
-45, -1, 6
Factor 5*s**4/2 - 780*s**3 + 61615*s**2 - 120900*s + 120125/2.
5*(s - 155)**2*(s - 1)**2/2
Solve -127*a**2/5 + 509*a/5 - 4/5 = 0 for a.
1/127, 4
Factor -2*s**2/5 + 404*s/5 - 1194/5.
-2*(s - 199)*(s - 3)/5
Factor 5*l**2 + 173*l - 70.
(l + 35)*(5*l - 2)
Solve g**3/3 - 106*g**2/3 + 35*g = 0.
0, 1, 105
Factor z**2/2 + 15*z + 225/2.
(z + 15)**2/2
Suppose 3*b**2 - 26430*b + 58212075 = 0. Calculate b.
4405
Determine n, given that -n**3/6 + 271*n**2/2 - 27336*n - 83232 = 0.
-3, 408
Let 2*t**5 + 12*t**4 + 10*t**3 - 40*t**2 - 72*t - 32 = 0. What is t?
-4, -2, -1, 2
Factor 3*l**4/5 - 36*l**3/5 - 81*l**2/5 + 1458*l/5.
3*l*(l - 9)**2*(l + 6)/5
Factor -2*i**2/3 - 34*i/3 + 260.
-2*(i - 13)*(i + 30)/3
Let -2*i**5 + 7130*i**4/7 + 19426*i**3/7 + 2194*i**2 + 1028*i/7 - 2048/7 = 0. What is i?
-1, 2/7, 512
Factor -t**2/2 + 5664*t - 16040448.
-(t - 5664)**2/2
Factor -g**4/3 - 2*g**3 - 4*g**2 - 10*g/3 - 1.
-(g + 1)**3*(g + 3)/3
Determine j, given that 5*j**2 - 345*j + 670 = 0.
2, 67
Suppose -9*x**5 - 15*x**4 + 41*x**3 + 3*x**2 - 32*x + 12 = 0. Calculate x.
-3, -1, 2/3, 1
Factor 5*f**2 - 15330*f + 11750445.
5*(f - 1533)**2
Let 3*n**5 - 24*n**4 + 69*n**3 - 84*n**2 + 36*n = 0. What is n?
0, 1, 2, 3
Find a such that 2*a**2 + 78*a + 736 = 0.
-23, -16
Solve -2*s**2 + 13*s + 279 = 0 for s.
-9, 31/2
Factor s**4/3 - 1360*s**3/3 + 465112*s**2/3 - 614720*s + 612912.
(s - 678)**2*(s - 2)**2/3
Factor -5*i**3 + 385*i**2 - 380*i.
-5*i*(i - 76)*(i - 1)
Determine y, given that 2*y**2 + 1292*y + 208658 = 0.
-323
Suppose 5*f**5/3 + 25*f**4 + 280*f**3/3 + 100*f**2 = 0. What is f?
-10, -3, -2, 0
Factor -2*z**4/3 + 10*z**3/3 + 26*z**2/3 + 14*z/3.
-2*z*(z - 7)*(z + 1)**2/3
Factor 5*y**2/4 - 65*y + 845.
5*(y - 26)**2/4
What is l in 6*l**4 - 87*l**3 + 279*l**2 - 78*l - 120 = 0?
-1/2, 1, 4, 10
Determine m, given that 15*m**2/4 + 19*m/4 + 1 = 0.
-1, -4/15
Factor 2*p**2 + 84*p + 82.
2*(p + 1)*(p + 41)
Factor -4*z**4/7 + 4*z**2/7.
-4*z**2*(z - 1)*(z + 1)/7
Factor -2*t**2/5 + 14*t/5.
-2*t*(t - 7)/5
Determine p so that -4*p**5/5 - 8*p**4 + 20*p**3 + 104*p**2 - 1056*p/5 = 0.
-11, -4, 0, 2, 3
Determine d so that -3*d**5/2 - 165*d**4/2 + 519*d**3/2 - 183*d**2/2 - 258*d + 174 = 0.
-58, -1, 1, 2
What is k in 3*k**3 - 2289*k**2 + 22665*k - 56475 = 0?
5, 753
Suppose 6*y**2 + 48*y/5 - 24/5 = 0. What is y?
-2, 2/5
What is b in 5*b**2 - 130*b - 135 = 0?
-1, 27
Suppose -2*s**3/5 - 221*s**2/5 + 111*s/5 = 0. Calculate s.
-111, 0, 1/2
Find s, given that 2*s**5/5 - 14*s**4/5 - 2*s**3/5 + 14*s**2/5 = 0.
-1, 0, 1, 7
Find b, given that 2*b**4 - 28*b**3 + 96*b**2 = 0.
0, 6, 8
Factor -4*j**4 - 16*j**3 - 8*j**2 + 16*j + 12.
-4*(j - 1)*(j + 1)**2*(j + 3)
Factor 2*s**2 - 32292*s + 130346658.
2*(s - 8073)**2
Factor k**2/4 + 113*k/4 + 111/2.
(k + 2)*(k + 111)/4
Factor -b**3/5 + 26*b**2/5 - 209*b/5 + 484/5.
-(b - 11)**2*(b - 4)/5
Factor y**5 - 36*y**4 - 2*y**3 + 72*y**2 + y - 36.
(y - 36)*(y - 1)**2*(y + 1)**2
Factor -4*r**3/5 - 28*r**2/5 + 84*r/5 + 108/5.
-4*(r - 3)*(r + 1)*(r + 9)/5
Suppose 2*f**5/21 + 20*f**4/21 + 26*f**3/21 - 8*f**2/3 - 8*f/3 + 64/21 = 0. Calculate f.
-8, -2, 1
Let 2*h**4 + 196*h**3 + 4802*h**2 = 0. Calculate h.
-49, 0
Determine o so that o**5 - 4*o**4 + 5*o**3 - 2*o**2 = 0.
0, 1, 2
Factor t**5/2 + 4*t**4 + 17*t**3/2 + 5*t**2.
t**2*(t + 1)*(t + 2)*(t + 5)/2
Factor -d**3/7 - 4*d**2 - 141*d/7 - 198/7.
-(d + 3)**2*(d + 22)/7
Factor -5*p**2 + 60*p + 65.
-5*(p - 13)*(p + 1)
Suppose 12*s**5/5 + 15*s**4 - 546*s**3/5 + 867*s**2/5 - 276*s/5 - 132/5 = 0. What is s?
-11, -1/4, 1, 2
Find w, given that 3*w**4 + 180*w**3 - 198*w**2 - 924*w - 549 = 0.
-61, -1, 3
Factor -5*h**4/2 + 275*h**3/2 + 3125*h**2/2 + 8125*h/2.
-5*h*(h - 65)*(h + 5)**2/2
Suppose -16*z**5 - 204*z**4 - 908*z**3 - 1552*z**2 - 576*z + 256 = 0. Calculate z.
-4, -1, 1/4
Factor -2*n**5/17 - 24*n**4/17 + 54*n**3/17 - 28*n**2/17.
-2*n**2*(n - 1)**2*(n + 14)/17
Solve 2*q**5 + 14*q**4 - 40*q**3 - 264*q**2 + 288*q = 0 for q.
-6, 0, 1, 4
Solve -5*m**3 - 230*m**2 + 725*m - 490 = 0 for m.
-49, 1, 2
Factor -j**4 + 4*j**3 + 6*j**2 - 4*j - 5.
-(j - 5)*(j - 1)*(j + 1)**2
Suppose -14*g**4 + 3930*g**3 - 6702*g**2 + 1670*g + 1116 = 0. What is g?
-2/7, 1, 279
Factor 2*u**3 + 1650*u**2 + 341136*u + 339488.
2*(u + 1)*(u + 412)**2
Factor -5*p**4 + 515*p**3 - 13505*p**2 + 11985*p + 26010.
-5*(p - 51)**2*(p - 2)*(p + 1)
Factor 2*o**2/7 - 78*o/7 - 164/7.
2*(o - 41)*(o + 2)/7
Solve u**5/9 + 50*u**4/9 - 52*u**3/3 + 158*u**2/9 - 53*u/9 = 0.
-53, 0, 1
Suppose 2*r**5/15 - 2*r**4/5 - 2*r**3/15 + 2*r**2/5 = 0. Calculate r.
-1, 0, 1, 3
Suppose 570312*s**2/13 - 2136*s/13 + 2/13 = 0. Calculate s.
1/534
Factor 2*h**2/3 - 182*h/3 + 860/3.
2*(h - 86)*(h - 5)/3
Factor -4*w**2 + 584*w - 580.
-4*(w - 145)*(w - 1)
Factor s**3/3 + s**2 - 4*s/3 - 4.
(s - 2)*(s + 2)*(s + 3)/3
Factor 5*q**4 - 515*q**3 - 3795*q**2 - 6025*q - 2750.
5*(q - 110)*(q + 1)**2*(q + 5)
Solve -5*k**2/6 + 175*k/2 - 515/3 = 0.
2, 103
Factor -5*k**2/8 - 193*k/8 + 39/4.
-(k + 39)*(5*k - 2)/8
Factor -4*a**3 - 40*a**2 + 44*a.
-4*a*(a - 1)*(a + 11)
Suppose -3*m**2/5 - 93*m/5 + 666/5 = 0. What is m?
-37, 6
Solve -q**2/5 - 2*q/5 + 48/5 = 0 for q.
-8, 6
Factor -5*p**3 - 5*p**2 + 125*p + 125.
-5*(p - 5)*(p + 1)*(p + 5)
Suppose p**3 + 864*p**2 - 1731*p + 866 = 0. Calculate p.
-866, 1
Suppose 2*t**2/9 - 140*t/9 = 0. What is