-22*q**3 + 106*q**2 - 120*q.
-2*q*(q - 3)*(11*q - 20)
Find x such that -121*x**5 + 8063*x**4 - 12907*x**3 + 2369*x**2 + 2336*x + 260 = 0.
-2/11, 1, 65
What is x in -20*x**3 + 88*x**2 - 92*x + 24 = 0?
2/5, 1, 3
Factor 4*y**2 + 228*y - 232.
4*(y - 1)*(y + 58)
Find j such that 2*j**2/7 + 956*j/7 - 958/7 = 0.
-479, 1
Factor 52*a**4 + 840*a**3.
4*a**3*(13*a + 210)
Find u such that u**5/2 - 32*u**4 + 656*u**3 - 3608*u**2 - 16456*u + 42592 = 0.
-4, 2, 22
Solve -3*o**5/4 - 141*o**4/4 - 480*o**3 - 933*o**2 + 10680*o - 13200 = 0.
-20, -11, 2
Factor -5*y**3 + 2415*y**2 - 287955*y - 885735.
-5*(y - 243)**2*(y + 3)
Factor 5*i**3 - 270*i**2 - 275*i.
5*i*(i - 55)*(i + 1)
Factor 5*g**3 + 45*g**2 + 135*g + 135.
5*(g + 3)**3
Determine i so that -5*i**3 + 12900*i**2 - 11094000*i + 3180280000 = 0.
860
Factor -3*k**3 + 54*k**2 - 51*k.
-3*k*(k - 17)*(k - 1)
Factor 2*y**4/7 - 3520*y**3/7 + 2063892*y**2/7 - 402456592*y/7 - 404524006/7.
2*(y - 587)**3*(y + 1)/7
Determine m, given that m**4/4 + 11*m**3/2 + 113*m**2/4 + 26*m - 60 = 0.
-15, -4, 1
Factor 2*q**4/5 - 86*q**3/5 + 244*q**2/5 - 32*q.
2*q*(q - 40)*(q - 2)*(q - 1)/5
Suppose -2*q**5 - 36*q**4 - 192*q**3 - 256*q**2 = 0. Calculate q.
-8, -2, 0
Factor -4*o**4 + 568*o**3 - 556*o**2 - 1128*o.
-4*o*(o - 141)*(o - 2)*(o + 1)
Suppose 5*x**2/2 - 105*x + 205/2 = 0. What is x?
1, 41
Factor 2*l**3/3 + 34*l**2/3 - 56*l.
2*l*(l - 4)*(l + 21)/3
Factor -x**4/2 - 2*x**3 - 5*x**2/2 - x.
-x*(x + 1)**2*(x + 2)/2
Factor 2*n**3 - 22*n**2 + 64*n - 56.
2*(n - 7)*(n - 2)**2
Factor -2*c**2 - 3984*c - 7960.
-2*(c + 2)*(c + 1990)
Find b such that -5*b**5/4 + 73*b**4/4 - 285*b**3/4 + 119*b**2/4 + 49*b/2 = 0.
-2/5, 0, 1, 7
Solve n**2/8 - 221*n/4 = 0 for n.
0, 442
Factor -3*d**3 + 189*d**2 - 2448*d - 2640.
-3*(d - 44)*(d - 20)*(d + 1)
Find n such that 5*n**2 + 235*n - 1020 = 0.
-51, 4
Find z, given that -z**3 - 47*z**2 - 370*z = 0.
-37, -10, 0
What is h in 4*h**5/7 - 4*h**4 - 384*h**3/7 - 1312*h**2/7 - 1856*h/7 - 960/7 = 0?
-2, 15
Solve 2*q**3 - 242*q**2 + 1608*q - 1368 = 0 for q.
1, 6, 114
Factor 2*w**2/3 - 2684*w/3 + 900482/3.
2*(w - 671)**2/3
Find f, given that -32*f**3 + 284*f**2 + 36*f = 0.
-1/8, 0, 9
Solve q**2/5 - 656*q/5 = 0 for q.
0, 656
Factor -2*p**3 - 18*p**2 - 30*p - 14.
-2*(p + 1)**2*(p + 7)
Let s**2/2 + 1361*s/6 + 151 = 0. What is s?
-453, -2/3
Find k such that 1444*k**4 - 16188*k**3 - 13968*k**2 + 3472*k - 192 = 0.
-1, 2/19, 12
Let -4*h**2 + 24*h = 0. Calculate h.
0, 6
Factor 2*n**4/5 + 254*n**3/5 + 150*n**2 + 746*n/5 + 248/5.
2*(n + 1)**3*(n + 124)/5
Find x such that 3*x**3 - 243*x**2 - 495*x - 249 = 0.
-1, 83
Solve 2*o**4/5 - 4*o**3 + 62*o**2/5 - 12*o = 0.
0, 2, 3, 5
Find q, given that -q**5/2 + 2*q**4 + 5*q**3 - 14*q**2 + 15*q/2 = 0.
-3, 0, 1, 5
Factor z**2/5 - 14*z.
z*(z - 70)/5
Find y, given that 2*y**3 - 4*y**2 - 6*y = 0.
-1, 0, 3
Let -3*y**2 + 12*y + 180 = 0. What is y?
-6, 10
Solve -46*c**4/5 + 462*c**3/5 - 1262*c**2/5 + 882*c/5 - 36/5 = 0.
1/23, 1, 3, 6
Factor 3*b**4 + 18*b**3 + 15*b**2 - 72*b - 108.
3*(b - 2)*(b + 2)*(b + 3)**2
Determine a so that a**2/3 + 3502*a/3 + 3066001/3 = 0.
-1751
Find q such that -2*q**2/3 + 14*q/3 - 8 = 0.
3, 4
Factor 25*o**5 - 10*o**4 - 110*o**3 - 20*o**2 + 125*o + 70.
5*(o - 2)*(o + 1)**3*(5*o - 7)
Find y, given that 2*y**4/5 + 174*y**3/5 + 134*y**2 + 498*y/5 = 0.
-83, -3, -1, 0
Factor -2*u**4 - 92*u**3.
-2*u**3*(u + 46)
Solve 2*h**3/7 + 40*h**2/7 + 106*h/7 + 68/7 = 0.
-17, -2, -1
Find u, given that -4*u**2/7 - 368*u/7 - 720/7 = 0.
-90, -2
Solve 4*k**2/3 + 44*k/3 + 40/3 = 0.
-10, -1
Determine y, given that 17*y**3/9 + 74*y**2/9 - 61*y/9 - 10/3 = 0.
-5, -6/17, 1
Determine t so that t**2/2 + 47*t/2 + 266 = 0.
-28, -19
Suppose 2*h**5 - 114*h**4 + 218*h**3 + 114*h**2 - 220*h = 0. What is h?
-1, 0, 1, 2, 55
Factor -4*g**4/7 - 356*g**3/7 - 1044*g**2/7 - 148*g - 344/7.
-4*(g + 1)**3*(g + 86)/7
Determine j so that -2*j**5 - 80*j**4 + 2*j**3 + 80*j**2 = 0.
-40, -1, 0, 1
Determine a so that -3*a**3 + 81*a**2 - 261*a - 345 = 0.
-1, 5, 23
Let -t**5 - 20*t**4 + 90*t**3 - 140*t**2 + 95*t - 24 = 0. Calculate t.
-24, 1
Factor n**2 + 54*n + 153.
(n + 3)*(n + 51)
Factor 686*j**4 - 23030*j**3 + 56196*j**2 - 47304*j + 13392.
2*(j - 31)*(7*j - 6)**3
Factor -2*n**2/5 + 96*n/5.
-2*n*(n - 48)/5
Let -4*j**3 - 14320*j**2 - 14316*j = 0. What is j?
-3579, -1, 0
Factor k**3/2 + 76*k**2 + 5621*k/2 - 5929.
(k - 2)*(k + 77)**2/2
Find f, given that 5*f**5 - 15*f**4 - 725*f**3 - 2685*f**2 + 720*f + 2700 = 0.
-6, -1, 1, 15
What is b in 5*b**4/4 + 48*b**3 + 1881*b**2/4 + 361*b/2 = 0?
-19, -2/5, 0
Solve 3*s**5 + 48*s**4 - 36*s**3 - 528*s**2 + 768*s = 0.
-16, -4, 0, 2
Let -2*l**5/9 - 8*l**4/3 - 26*l**3/9 + 44*l**2/3 - 80*l/9 = 0. Calculate l.
-10, -4, 0, 1
Find u, given that -4*u**5/9 + 2*u**4/3 - 2*u**2/9 = 0.
-1/2, 0, 1
Factor -k**2/4 + 84*k - 7056.
-(k - 168)**2/4
Determine r so that -3*r**3/2 + 496*r**2/3 - 1082*r/3 + 72 = 0.
2/9, 2, 108
Find d such that 2*d**2/7 - 110*d/7 + 108/7 = 0.
1, 54
Let 2*r**3 + 32*r**2 + 168*r + 288 = 0. Calculate r.
-6, -4
Factor 2*v**4/17 - 184*v**3/17 + 5580*v**2/17 - 53816*v/17 - 59582/17.
2*(v - 31)**3*(v + 1)/17
Factor g**4/6 - g**3/6 - g**2/6 + g/6.
g*(g - 1)**2*(g + 1)/6
Let 5*k**5 + 675*k**4 + 35250*k**3 + 883750*k**2 + 10565625*k + 48234375 = 0. What is k?
-35, -15
Determine p, given that 4*p**5 - 816*p**4 + 40792*p**3 + 84048*p**2 + 42436*p = 0.
-1, 0, 103
Factor -21*b**3 - 804*b**2 - 228*b.
-3*b*(b + 38)*(7*b + 2)
Factor -147*z**2/5 - 5886*z/5 - 48.
-3*(z + 40)*(49*z + 2)/5
Factor l**3/7 + 9*l**2/7 + 15*l/7 + 1.
(l + 1)**2*(l + 7)/7
Factor 5*t**4 + 10*t**3 - 15*t**2.
5*t**2*(t - 1)*(t + 3)
Factor -2*o**2/9 - 3200*o/9 - 1280000/9.
-2*(o + 800)**2/9
Factor -x**4 - 10*x**3 + 13*x**2 + 22*x.
-x*(x - 2)*(x + 1)*(x + 11)
Determine m so that -m**3/4 - 1263*m**2/4 - 531723*m/4 - 74618461/4 = 0.
-421
Factor -2*c**2 - 1464*c + 4410.
-2*(c - 3)*(c + 735)
Determine l so that 4*l**3 - 16*l**2 = 0.
0, 4
Let -5*m**3 - 20*m**2 + 95*m - 70 = 0. Calculate m.
-7, 1, 2
Factor 16*c**2/11 + 1978*c/11 - 744/11.
2*(c + 124)*(8*c - 3)/11
Factor 4*w**2 - 96*w + 176.
4*(w - 22)*(w - 2)
Factor 27*r**4 - 7620*r**3 + 538479*r**2 - 119286*r.
3*r*(r - 141)**2*(9*r - 2)
Factor 7503125*m**4 + 10290000*m**3 + 5292000*m**2 + 1209600*m + 103680.
5*(35*m + 12)**4
What is i in -4*i**4 + 28*i**3 + 120*i**2 = 0?
-3, 0, 10
Solve -3*q**5 + 42*q**4 - 177*q**3 + 174*q**2 + 180*q - 216 = 0 for q.
-1, 1, 2, 6
Suppose -5*y**3 + 10*y**2 - 5*y = 0. Calculate y.
0, 1
Factor -2*g**3/3 - 16*g**2/3 - 10*g.
-2*g*(g + 3)*(g + 5)/3
Find q such that -2*q**2 - 98*q + 540 = 0.
-54, 5
Factor 4*f**2 + 180*f - 376.
4*(f - 2)*(f + 47)
Factor 2*x**3 + 10*x**2 + 8*x.
2*x*(x + 1)*(x + 4)
Factor 3*p**4/2 + 6*p**3 - 3*p**2 - 18*p + 27/2.
3*(p - 1)**2*(p + 3)**2/2
Let -d**4/8 + d**3/8 + 3*d**2/8 - 5*d/8 + 1/4 = 0. What is d?
-2, 1
Factor -2*y**2 + 410*y - 812.
-2*(y - 203)*(y - 2)
Factor -4*j**4 + 200*j**3 - 192*j**2 - 200*j + 196.
-4*(j - 49)*(j - 1)**2*(j + 1)
Factor 2*p**3/5 - 172*p**2/5 - 342*p.
2*p*(p - 95)*(p + 9)/5
Solve v**2 + 334*v + 27889 = 0 for v.
-167
Factor -14*y**3 - 530*y**2 - 888*y + 1728.
-2*(y + 3)*(y + 36)*(7*y - 8)
Factor 2*u**5 - 11*u**4 + 23*u**3 - 23*u**2 + 11*u - 2.
(u - 2)*(u - 1)**3*(2*u - 1)
What is s in -5*s**2 + 22790*s - 25969205 = 0?
2279
Determine z, given that 60*z**5 + 244*z**4 + 376*z**3 + 264*z**2 + 76*z + 4 = 0.
-1, -1/15
Suppose s**4/8 + 287*s**3/4 = 0. What is s?
-574, 0
Find k, given that 4*k**3 - 8*k**2 - 60*k + 144 = 0.
-4, 3
Let -8*t**3 + 12*t**2 + 8*t - 12 = 0. What is t?
-1, 1, 3/2
Solve -3*h**4/7 + 83*h**3/7 - 47*h**2 + 157*h/7 + 92/7 = 0 for h.
-1/3, 1, 4, 23
Factor -j**3/10 + 443*j**2/10 + 889*j/10 + 89/2.
-(j - 445)*(j + 1)**2/10
Factor 27*k**4/5 - 5418*k**3/5 + 273603*k**2/5 - 36120*k + 6000.
3*(k - 100)**2*(3*k - 1)**2/5
Let -2*c**3/11 + 6*c**2/11 - 8/11 = 0. Calculate c.
-1, 2
Let 25*l**3 + 120*l**2 - 25*l = 0. Calculate l.
-5, 0, 1/5
What is w in 3*w**2/7 - 5610*w/7 + 2622675/7 = 0?
935
Determine i, given that 8*i**5/7 - 132*i**4/7 + 664*i**3/7 - 1164*i**2/7 + 432*i/7 = 0.
0, 1/2, 3, 4, 9
Solve -z**3/4 + 11*z**2/2 - 10*z = 0.
0, 2, 20
Determine q so that 5*q**4 + 40*q**3 + 105*q**2 + 110*q + 40 = 0.
-4, -2, -1
Solve -14*z**3 - 74*z**2 + 64*z + 24 = 0 for z.
-6, -2/7, 1
Let -3*q**3/4 - 3*q**2 + 57