y**2 + 480*y + 384 = 0 for y.
-4, -2
Find r such that r**2/9 - 311*r/9 - 104/3 = 0.
-1, 312
What is k in -k**3/3 + 188*k**2/3 - 3007*k + 5766 = 0?
2, 93
Solve 14*u**3 + 220*u**2 - 302*u + 68 = 0.
-17, 2/7, 1
Factor y**4 - 314*y**3 + 620*y**2 + 1256*y - 2496.
(y - 312)*(y - 2)**2*(y + 2)
Factor h**3 - 23*h**2.
h**2*(h - 23)
Let -8*o**2 + 17676*o + 8840 = 0. Calculate o.
-1/2, 2210
Solve 7*f**4 - 27*f**3 + 16*f**2 + 36*f - 32 = 0.
-8/7, 1, 2
Factor -m**2/4 - 13*m/4 + 7/2.
-(m - 1)*(m + 14)/4
Find j, given that 54*j**4 + 396*j**3 + 1038*j**2 + 1120*j + 392 = 0.
-7/3, -2, -2/3
Let -2*u**3 + 10*u**2 - 6*u - 18 = 0. Calculate u.
-1, 3
Solve z**2/2 + 7*z/2 + 6 = 0.
-4, -3
Find s such that -81*s**5/5 + 36*s**4/5 + 239*s**3/5 - 54*s**2 + 84*s/5 - 8/5 = 0.
-2, 2/9, 1
Factor -2*v**2 - 5748*v - 4129938.
-2*(v + 1437)**2
Determine u so that -2*u**5/13 - 50*u**4/13 + 284*u**3/13 - 472*u**2/13 + 240*u/13 = 0.
-30, 0, 1, 2
Factor 15*a**3 - 215*a**2 + 745*a - 225.
5*(a - 9)*(a - 5)*(3*a - 1)
Factor 5*o**2 + 179*o/3 - 4.
(o + 12)*(15*o - 1)/3
Let -2*k**5 - 16*k**4 - 36*k**3 - 32*k**2 - 10*k = 0. What is k?
-5, -1, 0
Find w, given that 5*w**4 + 780*w**3 + 750*w**2 - 3860*w + 2325 = 0.
-155, -3, 1
Solve 3*x**2 - 57*x + 234 = 0.
6, 13
Suppose 2*s**5/7 + 86*s**4/7 - 88*s**3/7 = 0. What is s?
-44, 0, 1
Solve 123*x**2 + 3935*x - 32 = 0 for x.
-32, 1/123
Factor -5*n**2 + 735*n - 1450.
-5*(n - 145)*(n - 2)
Determine k, given that 3*k**3 + 1620*k**2 + 6444*k + 6432 = 0.
-536, -2
Factor -5*n**5 + 30*n**4 - 70*n**3 + 80*n**2 - 45*n + 10.
-5*(n - 2)*(n - 1)**4
Find o, given that 2*o**2 - 276*o + 9522 = 0.
69
Factor -3*d**4 + 54*d**3 + 1269*d**2 - 13608*d - 190512.
-3*(d - 21)**2*(d + 12)**2
Factor g**4 + 200*g**3 - g**2 - 200*g.
g*(g - 1)*(g + 1)*(g + 200)
Factor -3*o**2 + 8382*o + 8385.
-3*(o - 2795)*(o + 1)
Determine w, given that 8*w**3/15 - 178*w**2/15 + 124*w/3 - 48/5 = 0.
1/4, 4, 18
Solve b**3/5 - 44*b**2 - 443*b/5 - 222/5 = 0 for b.
-1, 222
Factor -5*d**5 + 335*d**4 + 3725*d**3 + 9625*d**2.
-5*d**2*(d - 77)*(d + 5)**2
What is r in -4*r**3 - 72*r**2 - 68*r = 0?
-17, -1, 0
Factor t**5 - 8*t**4 + 9*t**3 + 18*t**2.
t**2*(t - 6)*(t - 3)*(t + 1)
Factor -m**2 + 22*m - 121.
-(m - 11)**2
Factor q**3 - 31*q - 30.
(q - 6)*(q + 1)*(q + 5)
Factor g**4 - 289*g**3 + 27645*g**2 - 856219*g - 1825346.
(g - 97)**3*(g + 2)
What is n in n**2/3 + 410*n + 4904/3 = 0?
-1226, -4
Suppose -l**5/2 + 49*l**4/2 - 169*l**3/2 - 489*l**2/2 - 135*l = 0. What is l?
-1, 0, 6, 45
Determine t so that 5*t**3 + 130*t**2 + 1045*t + 2420 = 0.
-11, -4
Factor 4*q**2/7 - 692*q/7 + 2040/7.
4*(q - 170)*(q - 3)/7
Factor -3*i**3 + 153*i**2 - 2025*i + 1875.
-3*(i - 25)**2*(i - 1)
Factor -2*l**3 - 20*l**2 - 38*l + 60.
-2*(l - 1)*(l + 5)*(l + 6)
Factor -o**2/4 - 19*o/2 - 37/4.
-(o + 1)*(o + 37)/4
Factor 4*p**3/9 + 640*p**2/9 - 1292*p/9 + 72.
4*(p - 1)**2*(p + 162)/9
Factor -5*k**3 - 405*k**2 - 10935*k - 98415.
-5*(k + 27)**3
Factor -18*h**4 + 15*h**3 + 72*h**2 - 60*h.
-3*h*(h - 2)*(h + 2)*(6*h - 5)
Factor 5*s**4 + 15*s**3 + 5*s**2 - 15*s - 10.
5*(s - 1)*(s + 1)**2*(s + 2)
Solve 2*x**5 + 24*x**4 + 78*x**3 + 56*x**2 = 0 for x.
-7, -4, -1, 0
Factor -10*f**4/17 - 52*f**3/17 - 88*f**2/17 - 48*f/17.
-2*f*(f + 2)**2*(5*f + 6)/17
Factor b**5/2 - 7*b**4/2 + 9*b**3 - 11*b**2 + 13*b/2 - 3/2.
(b - 3)*(b - 1)**4/2
Factor -2*w**4 - 62*w**3 + 598*w**2 - 1002*w + 468.
-2*(w - 6)*(w - 1)**2*(w + 39)
Factor -4*k**5 - 52*k**4 - 92*k**3 - 44*k**2.
-4*k**2*(k + 1)**2*(k + 11)
Find d, given that 8*d**5/11 - 14*d**4/11 + 4*d**3/11 + 2*d**2/11 = 0.
-1/4, 0, 1
Factor p**4 + 6*p**3 - 47*p**2 + 84*p - 44.
(p - 2)**2*(p - 1)*(p + 11)
Factor 5*i**4 + 75*i**3 + 315*i**2 + 245*i.
5*i*(i + 1)*(i + 7)**2
Find d, given that -2*d**4/11 - 8*d**3/11 + 14*d**2/11 + 4*d - 48/11 = 0.
-4, -3, 1, 2
Factor -3*q**3/2 - 147*q**2/2 - 936*q - 864.
-3*(q + 1)*(q + 24)**2/2
Factor -2*x**2 + 8*x + 10.
-2*(x - 5)*(x + 1)
Find g, given that -33*g**5 - 60*g**4 + 276*g**3 - 48*g**2 = 0.
-4, 0, 2/11, 2
Factor -m**3 + 952*m**2 - 226576*m.
-m*(m - 476)**2
Factor u**4 - 454*u**3 + 1356*u**2 - 1354*u + 451.
(u - 451)*(u - 1)**3
Factor -5*o**2 + 25*o + 750.
-5*(o - 15)*(o + 10)
Determine g, given that -4*g**3/3 + 52*g**2 + 1440*g - 57024 = 0.
-33, 36
Factor -3*c**3 - 3057*c**2 - 786357*c - 3855735.
-3*(c + 5)*(c + 507)**2
Factor m**2 + 9*m + 8.
(m + 1)*(m + 8)
Find m such that -2*m**3/7 - 122*m**2/7 + 240*m - 5256/7 = 0.
-73, 6
Factor -5*d**3/2 - 8*d**2 - 6*d.
-d*(d + 2)*(5*d + 6)/2
Suppose 2*i**5/9 - 130*i**4/3 + 18814*i**3/9 + 19598*i**2/9 - 6272*i/3 - 19208/9 = 0. Calculate i.
-1, 1, 98
Factor 2*o**4 + 6*o**3 + 4*o**2.
2*o**2*(o + 1)*(o + 2)
Determine v, given that 16*v**3 + 100*v**2 + 104*v + 20 = 0.
-5, -1, -1/4
Find t, given that t**5/5 + 4*t**4/5 - 62*t**3/5 + 156*t**2/5 - 99*t/5 = 0.
-11, 0, 1, 3
Factor 2*h**3/13 - 14*h**2/13 - 56*h/13 - 40/13.
2*(h - 10)*(h + 1)*(h + 2)/13
Factor 4*q**3 - 144*q**2 + 636*q - 496.
4*(q - 31)*(q - 4)*(q - 1)
Determine r, given that r**4/8 + 9*r**3/4 - 41*r**2/8 - 9*r/4 + 5 = 0.
-20, -1, 1, 2
Factor -2*b**3 - 418*b**2 + 1268*b - 848.
-2*(b - 2)*(b - 1)*(b + 212)
Factor -4*q**2 - 5204*q.
-4*q*(q + 1301)
Factor 3*b**3 - 3336*b**2 - 13380*b - 13392.
3*(b - 1116)*(b + 2)**2
Find p, given that 3*p**4 - 9*p**3 - 18*p**2 + 84*p - 72 = 0.
-3, 2
Factor -d**4/2 - 34*d**3 - 31*d**2 + 166*d - 201/2.
-(d - 1)**2*(d + 3)*(d + 67)/2
Factor 3*c**4/4 - 21*c**3/4 - 51*c**2/4 - 27*c/4.
3*c*(c - 9)*(c + 1)**2/4
What is r in 2*r**2 + 8280*r + 8569800 = 0?
-2070
Factor 2*y**2 + 1406*y + 1404.
2*(y + 1)*(y + 702)
Let 14*j**3 - 18*j**2 + 4*j = 0. What is j?
0, 2/7, 1
Solve -2*w**3 - 34*w**2 - 124*w + 160 = 0.
-10, -8, 1
Find f such that -162*f**3 - 9*f**2 + 30*f - 3 = 0.
-1/2, 1/9, 1/3
Find c, given that 4*c**2/5 + 686*c/5 + 536 = 0.
-335/2, -4
Factor 20*m**3 + 68*m**2 + 64*m + 16.
4*(m + 1)*(m + 2)*(5*m + 2)
Factor 4*l**2/3 + 176*l + 5808.
4*(l + 66)**2/3
Determine m so that -m**5 + 21*m**4 + 23*m**3 - 21*m**2 - 22*m = 0.
-1, 0, 1, 22
Suppose -3*o**4/4 + 321*o**3/4 - 8745*o**2/4 + 8427*o/4 = 0. Calculate o.
0, 1, 53
Factor -5*v**2 + 2260*v.
-5*v*(v - 452)
Factor 3*t**3 - 39*t**2 + 165*t - 225.
3*(t - 5)**2*(t - 3)
Factor -4*h**2 - 812*h - 1608.
-4*(h + 2)*(h + 201)
Determine i, given that 3*i**3 - 18*i**2 + 24*i = 0.
0, 2, 4
Find g, given that 5*g**5 + 40*g**4 + 30*g**3 - 40*g**2 - 35*g = 0.
-7, -1, 0, 1
Determine m so that -2*m**4/7 + 6*m**3 - 78*m**2/7 - 1690*m/7 = 0.
-5, 0, 13
Factor h**2/2 - 435*h/2 - 218.
(h - 436)*(h + 1)/2
Factor -4*s**3/5 - 10*s**2 - 112*s/5 + 294/5.
-2*(s + 7)**2*(2*s - 3)/5
Solve p**4/4 - 53*p**3/2 + 701*p**2/4 - 194*p - 396 = 0 for p.
-1, 4, 99
Suppose -3*j**4 - 69*j**3 - 63*j**2 + 69*j + 66 = 0. Calculate j.
-22, -1, 1
Let s**2 + 8520*s + 18147600 = 0. Calculate s.
-4260
Factor 2*m**2/11 - 3668*m/11 + 1681778/11.
2*(m - 917)**2/11
Solve -2*u**5/9 - 38*u**4/9 - 38*u**3/3 + 590*u**2/9 - 676*u/9 + 80/3 = 0 for u.
-12, -10, 1
Find d, given that 4*d**5 - 132*d**4 + 1132*d**3 - 396*d**2 - 4736*d - 3072 = 0.
-1, 3, 16
Find b, given that -2*b**5/9 + 14*b**4/3 - 220*b**3/9 + 328*b**2/9 + 16*b - 448/9 = 0.
-1, 2, 4, 14
Factor -8*i**2/5 - 19*i/5 - 6/5.
-(i + 2)*(8*i + 3)/5
Find q such that q**5 + 16*q**4 - 2*q**3 - 32*q**2 + q + 16 = 0.
-16, -1, 1
Factor -2*t**2 + 46*t - 120.
-2*(t - 20)*(t - 3)
Factor -5*r**2 - 5*r + 210.
-5*(r - 6)*(r + 7)
Determine x so that 4*x**4 + 384*x**3 + 8416*x**2 - 38400*x + 40000 = 0.
-50, 2
Suppose -3*z**4 + 9*z**3 - 3*z**2 - 9*z + 6 = 0. What is z?
-1, 1, 2
Factor -2*v**2/5 + 84*v/5 + 176/5.
-2*(v - 44)*(v + 2)/5
Factor h**2/3 - 81*h.
h*(h - 243)/3
Find c such that 3*c**4/7 + 246*c**3/7 - 75*c**2 - 1776*c/7 - 144 = 0.
-84, -1, 4
Suppose l**2/7 + 170*l/7 - 171/7 = 0. Calculate l.
-171, 1
Solve -2*l**5 + 30*l**4 + 238*l**3 + 306*l**2 - 236*l - 336 = 0 for l.
-4, -2, -1, 1, 21
Determine f so that -5*f**2 - 60220*f - 181322420 = 0.
-6022
Factor 4*y**2/9 + 584*y/3 - 1756/9.
4*(y - 1)*(y + 439)/9
Factor 13*s**3 + 153*s**2 + 240*s + 100.
(s + 1)*(s + 10)*(13*s + 10)
Determine d so that -3*d**2/5 - 9*d/5 + 12/5 = 0.
-4, 1
Let 3*q**2/5 + 9798*q/5 + 8000067/5 = 0. Calculate q.
-1633
Factor 2*a**4/13 + 46*a**3/13 + 160*a**2/13 + 152*a/13.
2*a*(a + 2)**2*(a + 19)/13
Factor p**2/3 + 16*p/3 + 21.
(p + 7)*(p + 9)/3
Suppos