 + 925*y - 465.
-5*(y - 1)**2*(y + 93)
Factor -5*t**3/4 - 155*t**2/4 - 1275*t/4 - 1125/4.
-5*(t + 1)*(t + 15)**2/4
Factor -2*o**2 + 66*o - 124.
-2*(o - 31)*(o - 2)
Determine y, given that 4*y**2 - 56*y - 60 = 0.
-1, 15
Factor -5*n**2 + 4190*n.
-5*n*(n - 838)
Find i, given that 4*i**3 + 48*i**2 + 36*i - 88 = 0.
-11, -2, 1
Factor 5*m**2 + 15*m - 350.
5*(m - 7)*(m + 10)
Factor 65*z**2 - 1960*z + 300.
5*(z - 30)*(13*z - 2)
Factor 2*i**2/5 + 138*i/5 - 432/5.
2*(i - 3)*(i + 72)/5
Let m**5/2 - 7*m**4/2 + 3*m**3 + 14*m**2 - 20*m = 0. What is m?
-2, 0, 2, 5
Factor g**3 + 11*g**2 + 7*g - 147.
(g - 3)*(g + 7)**2
Factor -2*p**3/3 - 262*p**2/3 - 518*p/3 - 86.
-2*(p + 1)**2*(p + 129)/3
Factor s**3 + 11*s**2 - 152*s.
s*(s - 8)*(s + 19)
Find f, given that -2*f**2/13 - 20*f/13 + 462/13 = 0.
-21, 11
What is c in -4*c**2 + 24*c = 0?
0, 6
Factor -a**2/2 - 581*a/2 - 579.
-(a + 2)*(a + 579)/2
Factor -g**3 - g**2 + 16*g + 16.
-(g - 4)*(g + 1)*(g + 4)
Factor -2*p**3/9 + 454*p**2/9 - 452*p/9.
-2*p*(p - 226)*(p - 1)/9
Suppose 2*b**4 - 652*b**3 - 654*b**2 = 0. Calculate b.
-1, 0, 327
Factor -2*j**4/13 - 44*j**3/13.
-2*j**3*(j + 22)/13
Factor a**2 + 101*a + 100.
(a + 1)*(a + 100)
Factor 3*z**4 + 510*z**3 + 21675*z**2.
3*z**2*(z + 85)**2
Factor 4*n**3 - 84*n**2 + 332*n + 420.
4*(n - 15)*(n - 7)*(n + 1)
Factor 5*c**5/3 - 25*c**4 + 130*c**3/3.
5*c**3*(c - 13)*(c - 2)/3
Solve 5*a**3 + 915*a**2 + 55815*a + 1134905 = 0.
-61
Factor -3*n**4/4 - 3*n**3/4 + 3*n**2/4 + 3*n/4.
-3*n*(n - 1)*(n + 1)**2/4
Factor -5*c**2 - 25*c + 30.
-5*(c - 1)*(c + 6)
Factor -o**2/4 - 7*o + 533/4.
-(o - 13)*(o + 41)/4
Suppose 2*g**4/3 + 28*g**3 - 266*g**2/3 + 60*g = 0. Calculate g.
-45, 0, 1, 2
Find l, given that 2*l**5/5 - 42*l**4/5 + 198*l**3/5 + 242*l**2/5 = 0.
-1, 0, 11
Factor 5*v**3 - 140*v**2 + 245*v + 390.
5*(v - 26)*(v - 3)*(v + 1)
Factor 16*z**2 + 6436*z + 1608.
4*(z + 402)*(4*z + 1)
Suppose 3*d**5 + 29*d**4 - 19*d**3 - 93*d**2 - 28*d + 20 = 0. What is d?
-10, -1, 1/3, 2
Find g such that -4*g**4 - 928*g**3 - 3668*g**2 - 4568*g - 1824 = 0.
-228, -2, -1
Factor -t**5 + 73*t**4 + 303*t**3 + 383*t**2 + 154*t.
-t*(t - 77)*(t + 1)**2*(t + 2)
Let -i**5/4 - 11*i**4/4 - 15*i**3/4 + 27*i**2/4 = 0. What is i?
-9, -3, 0, 1
Factor -9*h**3/4 - 4107*h**2/4 + 2741*h/4 - 457/4.
-(h + 457)*(3*h - 1)**2/4
Factor -4*k**2/5 - 1072*k/5.
-4*k*(k + 268)/5
Let 3*g**4/4 + 27*g**3/2 + 219*g**2/4 + 81*g + 39 = 0. Calculate g.
-13, -2, -1
Factor -5*d**2 + 630*d - 625.
-5*(d - 125)*(d - 1)
What is f in -2*f**3/9 + 26*f**2/9 + 136*f/9 = 0?
-4, 0, 17
Let 2*b**5/5 + 8*b**4/5 - 208*b**3/5 - 260*b**2 - 658*b/5 + 2156/5 = 0. What is b?
-7, -2, 1, 11
Factor 12*x**3 + 136*x**2 - 96*x.
4*x*(x + 12)*(3*x - 2)
Factor -3*q**2/10 + q/10 + 1.
-(q - 2)*(3*q + 5)/10
What is t in -375*t**5 - 1600*t**4 - 5*t**3 + 1680*t**2 + 380*t - 80 = 0?
-4, -1, -2/5, 2/15, 1
Factor q**5/7 + 15*q**4/7 + 72*q**3/7 + 20*q**2 + 96*q/7.
q*(q + 2)**2*(q + 3)*(q + 8)/7
Factor -k**4/6 - 7*k**3/3 - 23*k**2/2 - 24*k - 18.
-(k + 2)*(k + 3)**2*(k + 6)/6
Factor -s**3 - 8*s**2 - 16*s.
-s*(s + 4)**2
Let 14*d**4 + 24*d**3 - 22*d**2 - 24*d + 8 = 0. Calculate d.
-2, -1, 2/7, 1
Factor k**4/3 + 28*k**3/3 + 74*k**2 + 364*k/3 + 169/3.
(k + 1)**2*(k + 13)**2/3
Factor 3*x**2/4 - 8937*x/2 + 26623323/4.
3*(x - 2979)**2/4
Let -5*o**5 + 60*o**4 + 590*o**3 + 1380*o**2 + 855*o = 0. Calculate o.
-3, -1, 0, 19
Factor -5*v**5 + 150*v**4 - 280*v**3.
-5*v**3*(v - 28)*(v - 2)
Factor -d**2/8 + 447*d/4 + 895/8.
-(d - 895)*(d + 1)/8
Suppose 12*v**5 + 100*v**4 - 76*v**3 - 36*v**2 = 0. What is v?
-9, -1/3, 0, 1
Let -35*r**5 - 3070*r**4 - 66845*r**3 + 22430*r**2 + 66880*r - 19360 = 0. What is r?
-44, -1, 2/7, 1
Factor 2*r**3/7 - 3768*r**2/7 + 2366304*r/7 - 495346304/7.
2*(r - 628)**3/7
Determine k, given that 3*k**2 + 36*k - 84 = 0.
-14, 2
Factor 4*m**2 - 848*m + 44944.
4*(m - 106)**2
Factor -5*g**4 - 15*g**3 + 270*g**2 + 560*g.
-5*g*(g - 7)*(g + 2)*(g + 8)
Suppose -x**4 + 114*x**3 + 231*x**2 + 116*x = 0. Calculate x.
-1, 0, 116
Suppose -4*j**4/3 - 176*j**3/3 + 28*j**2 + 3776*j/3 + 3520/3 = 0. Calculate j.
-44, -4, -1, 5
Suppose -2*g**5 - 186*g**4 - 712*g**3 = 0. What is g?
-89, -4, 0
Suppose -3*i**5/8 - 9*i**4/8 + 33*i**3/8 + 9*i**2/8 - 15*i/4 = 0. Calculate i.
-5, -1, 0, 1, 2
Factor -p**2 + 2972*p - 2208196.
-(p - 1486)**2
Solve 5*a**3 + 270*a**2 - 575*a - 840 = 0 for a.
-56, -1, 3
Factor 4*l**3 - 16*l**2 - 240*l + 1152.
4*(l - 6)**2*(l + 8)
Suppose j**4 - 29*j**3 - 162*j**2 - 268*j - 136 = 0. What is j?
-2, -1, 34
Let 20*o**5 - 25*o**4 - 15*o**3 + 25*o**2 - 5*o = 0. Calculate o.
-1, 0, 1/4, 1
Let 4*o**5/3 + 220*o**4/9 - 136*o**3 + 488*o**2/3 - 196*o/9 - 92/3 = 0. What is o?
-23, -1/3, 1, 3
Determine r, given that r**4/9 + 2*r**3/9 - 19*r**2/9 + 28*r/9 - 4/3 = 0.
-6, 1, 2
Determine n, given that -2*n**5/7 - 88*n**4/7 - 162*n**3/7 + 260*n**2/7 + 328*n/7 - 48 = 0.
-42, -2, 1
Solve -2*r**2/11 - 34*r/11 = 0.
-17, 0
Factor p**3/3 - p**2/3 - 2*p.
p*(p - 3)*(p + 2)/3
Factor -2*o**3 - 30*o**2 - 144*o - 224.
-2*(o + 4)**2*(o + 7)
Factor -5*h**5/3 + 270*h**4 - 10935*h**3.
-5*h**3*(h - 81)**2/3
Factor -3*f**3 - 174*f**2 - 2688*f - 4704.
-3*(f + 2)*(f + 28)**2
Factor u**2/2 - 15*u + 29/2.
(u - 29)*(u - 1)/2
Let -y**5/2 - 158*y**4 - 12482*y**3 = 0. Calculate y.
-158, 0
Determine r, given that -r**5 + 25*r**3 - 60*r**2 + 36*r = 0.
-6, 0, 1, 2, 3
Factor 686*a**5/5 + 67620*a**4 + 8360688*a**3 + 7133216*a**2 + 2034912*a + 968256/5.
2*(a + 246)**2*(7*a + 2)**3/5
Let -2*s**4/5 + 2*s**3/5 + 4*s**2/5 = 0. What is s?
-1, 0, 2
Factor c**5/4 + 111*c**4/4 + 1407*c**3/4 - 103247*c**2/4.
c**2*(c - 23)*(c + 67)**2/4
Suppose 60*i**5 - 428*i**4 + 956*i**3 - 660*i**2 + 72*i = 0. What is i?
0, 2/15, 1, 3
Solve a**5 + 2*a**4 - 2*a**2 - a = 0 for a.
-1, 0, 1
Factor -2*s**4 + 2*s**3/3 + 4*s**2/3.
-2*s**2*(s - 1)*(3*s + 2)/3
Solve 3*u**5 - 90*u**4 - 102*u**3 + 276*u**2 + 99*u - 186 = 0 for u.
-2, -1, 1, 31
What is a in -20*a**3 + 472*a**2 - 268*a - 184 = 0?
-2/5, 1, 23
Determine k, given that 3*k**3 + 18*k**2 - 531*k + 510 = 0.
-17, 1, 10
Determine w so that -10*w**5 + 35*w**4 + 610*w**3 - 965*w**2 - 630*w = 0.
-7, -1/2, 0, 2, 9
Factor 2*n**4 + 10*n**3 + 6*n**2 - 10*n - 8.
2*(n - 1)*(n + 1)**2*(n + 4)
Suppose -49*c**4/2 - 20909*c**3/2 + 5977*c**2/2 - 427*c/2 = 0. What is c?
-427, 0, 1/7
Factor -u**3/4 + 5*u**2/4 + 21*u/2 - 36.
-(u - 8)*(u - 3)*(u + 6)/4
Find s such that 2*s**5 + 288*s**4 - 2*s**3 - 288*s**2 = 0.
-144, -1, 0, 1
Factor l**5/4 + 7*l**4/4 - 17*l**3/4 + 9*l**2/4.
l**2*(l - 1)**2*(l + 9)/4
Let 193442*n**5 + 2488*n**4 - 193434*n**3 - 2488*n**2 - 8*n = 0. What is n?
-1, -2/311, 0, 1
Factor 6*a**5 + 283*a**4 - 835*a**3 + 747*a**2 - 151*a - 50.
(a - 1)**3*(a + 50)*(6*a + 1)
Determine c, given that c**3/4 - 141*c**2/4 - 36*c + 71 = 0.
-2, 1, 142
What is u in -33*u**2/4 + 39*u/4 - 3/2 = 0?
2/11, 1
Factor 5*r**2/4 - 177*r/4 + 35/2.
(r - 35)*(5*r - 2)/4
Factor 5*l**3 + 280*l**2 + 540*l.
5*l*(l + 2)*(l + 54)
Factor 5*h**3 + 55*h**2 - 5*h - 55.
5*(h - 1)*(h + 1)*(h + 11)
Find r, given that -r**2/4 + 233*r/4 - 231/2 = 0.
2, 231
Let 22*l**2/7 - 10014*l/7 + 260 = 0. What is l?
2/11, 455
Factor 4*s**2/7 - 176*s/7 - 768/7.
4*(s - 48)*(s + 4)/7
Determine f so that 2*f**5 - 142*f**4 - 596*f**3 - 308*f**2 + 594*f + 450 = 0.
-3, -1, 1, 75
Determine y so that -5*y**4 + 170*y**3 - 1740*y**2 + 4950*y - 3375 = 0.
1, 3, 15
Suppose -3*z**2 + 15*z + 18 = 0. Calculate z.
-1, 6
Factor -4*g**4 + 20*g**3 + 8*g**2 - 96*g.
-4*g*(g - 4)*(g - 3)*(g + 2)
Find o such that -3*o**4 + 3*o**3 = 0.
0, 1
Factor 2*o**2/7 - 1692*o/7 + 357858/7.
2*(o - 423)**2/7
Suppose 2*j**3/5 + 762*j**2/5 + 72198*j/5 - 72962/5 = 0. What is j?
-191, 1
Suppose -3*b**4 + 90*b**3 - 879*b**2 + 2952*b - 2160 = 0. Calculate b.
1, 5, 12
Factor -686*v**3/9 - 784*v**2/9 - 280*v/9 - 32/9.
-2*(7*v + 2)**2*(7*v + 4)/9
Find b, given that -2*b**3/3 - 466*b**2/3 - 27376*b/3 - 26912/3 = 0.
-116, -1
Solve -4*h**5/7 + 30*h**4 - 2592*h**3/7 - 4372*h**2/7 - 108*h/7 + 1458/7 = 0 for h.
-1, 1/2, 27
Factor -2*f**2/7 - 328*f/7.
-2*f*(f + 164)/7
Let 2*d**5 + 146*d**4 + 2732*d**3 + 2304*d**2 - 5184*d = 0. Calculate d.
-36, -2, 0, 1
Suppose -2*g**5/3 + 20*g**4/3 - 74*g**3/3 + 128*g**2/3 - 104*g/3 + 32/3 = 0. What is g?
1, 2, 4
Find m, given that 2*m**4/5 + 168*m**3/5 - 346*m**2/5 - 168*m/5 + 344/5 