k**3/11 - 6*k**2 + 184*k/11 - 120/11.
2*(k - 30)*(k - 2)*(k - 1)/11
Determine o, given that 2*o**3/19 - 100*o**2/19 + 176*o/19 + 768/19 = 0.
-2, 4, 48
Solve 5*y**2 + 1830*y + 167445 = 0.
-183
Factor -4*k**2 + 1180*k - 3504.
-4*(k - 292)*(k - 3)
Find p such that p**3/3 + 22*p**2/3 - p/3 - 22/3 = 0.
-22, -1, 1
Find l such that 2*l**3 - 14*l**2 + 72 = 0.
-2, 3, 6
Suppose 3*n**2/7 + 762*n/7 + 2259/7 = 0. What is n?
-251, -3
Let 2*j**3/7 - 358*j**2/7 - 360*j/7 = 0. Calculate j.
-1, 0, 180
Factor -v**4/11 - 3*v**3/11 + 180*v**2/11.
-v**2*(v - 12)*(v + 15)/11
Solve s**3 + 92*s**2 - 1133*s = 0 for s.
-103, 0, 11
Find a such that 2*a**2 + 2*a - 144 = 0.
-9, 8
Determine b, given that -15*b**4 - 95*b**3 - 195*b**2 - 145*b - 30 = 0.
-3, -2, -1, -1/3
Factor -2*h**5 - 8*h**4 - 2*h**3 + 20*h**2 + 8*h - 16.
-2*(h - 1)**2*(h + 2)**3
Suppose -2*t**2/9 + 164*t/9 - 208/3 = 0. Calculate t.
4, 78
Suppose -2*l**2 + 40*l - 38 = 0. Calculate l.
1, 19
Factor -4*d**5 - 872*d**4 + 1756*d**3 - 880*d**2.
-4*d**2*(d - 1)**2*(d + 220)
Let 2*d**4 - 120*d**3 - 504*d**2 - 512*d = 0. Calculate d.
-2, 0, 64
What is b in -2*b**4/3 - 34*b**3 - 1526*b**2/3 - 1886*b - 4232/3 = 0?
-23, -4, -1
Factor 3*s**3/5 + 27*s**2/5 + 72*s/5 + 12.
3*(s + 2)**2*(s + 5)/5
Factor -3*m**3 - 247*m**2 - 562*m - 160.
-(m + 2)*(m + 80)*(3*m + 1)
Solve u**2/12 - u = 0 for u.
0, 12
Factor t**2/4 + 271*t.
t*(t + 1084)/4
Factor -2*r**3/9 + 56*r**2 - 334*r/3 + 500/9.
-2*(r - 250)*(r - 1)**2/9
Factor -3*b**4 - 57*b**3 - 153*b**2 - 147*b - 48.
-3*(b + 1)**3*(b + 16)
Solve 2*u**4/17 + 8*u**3/17 - 2*u**2/17 - 8*u/17 = 0.
-4, -1, 0, 1
Determine r, given that 3*r**5 + 30*r**4 - 489*r**3 - 1056*r**2 - 540*r = 0.
-18, -1, 0, 10
Suppose 3*b**2 + 12*b - 3456 = 0. Calculate b.
-36, 32
Suppose 6*o**3 + 23*o**2 - 70*o = 0. What is o?
-35/6, 0, 2
Determine z, given that -z**4/5 + 3*z**3/5 + 7*z**2/5 - 27*z/5 + 18/5 = 0.
-3, 1, 2, 3
Determine l so that -2*l**3 + 1658*l**2 - 342790*l - 344450 = 0.
-1, 415
Solve 3*q**5/7 - 1749*q**4/7 + 260973*q**3/7 - 1767771*q**2/7 + 3748032*q/7 - 2239488/7 = 0.
1, 3, 288
Suppose -z**3/2 + 49*z**2/2 - 107*z - 132 = 0. What is z?
-1, 6, 44
Factor -5*v**3 + 85*v**2 - 370*v + 440.
-5*(v - 11)*(v - 4)*(v - 2)
Factor -u**4/5 - 12*u**3/5 + 96*u**2/5 - 208*u/5 + 144/5.
-(u - 2)**3*(u + 18)/5
Find a, given that a**5/4 - 103*a**4/4 + 1247*a**3/2 + 4055*a**2/2 + 8321*a/4 + 2809/4 = 0.
-1, 53
Factor -64*b**5/7 + 14880*b**4/7 - 1383840*b**3/7 + 64348560*b**2/7 - 1496104020*b/7 + 13913767386/7.
-2*(2*b - 93)**5/7
Solve -t**4/7 + 116*t**3/7 + 605*t**2/7 = 0 for t.
-5, 0, 121
Factor d**3/6 + 41*d**2/6 + 74*d/3.
d*(d + 4)*(d + 37)/6
What is r in 3*r**5/7 + 69*r**4/7 + 18*r**3 = 0?
-21, -2, 0
Suppose 2*h**3/5 - 46*h**2/5 - 268*h/5 - 336/5 = 0. Calculate h.
-3, -2, 28
Determine b so that -2*b**2/9 - 16*b + 608/9 = 0.
-76, 4
Factor -5*u**4/3 + 17*u**3/3 - 16*u**2/3 + 4*u/3.
-u*(u - 2)*(u - 1)*(5*u - 2)/3
Factor -2*f**2/11 + 2016*f/11 - 508032/11.
-2*(f - 504)**2/11
Solve 3*k**2/5 + 9331*k/5 - 6222/5 = 0.
-3111, 2/3
Factor f**4 + 11*f**3 + 25*f**2 - 39*f - 126.
(f - 2)*(f + 3)**2*(f + 7)
Suppose -4*v**2 - 268*v + 840 = 0. Calculate v.
-70, 3
Let -8*c**3 + 54*c**2 - 34*c - 12 = 0. What is c?
-1/4, 1, 6
Suppose 30*m**2/23 + 274*m/23 + 36/23 = 0. What is m?
-9, -2/15
Factor -19*j**3 - 15*j**2 + 4*j.
-j*(j + 1)*(19*j - 4)
Suppose -p**4/6 + p**3/3 = 0. Calculate p.
0, 2
Factor -8*k**3 + 16*k**2 - 10*k + 2.
-2*(k - 1)*(2*k - 1)**2
What is n in 2*n**3 - 40*n**2 + 128*n = 0?
0, 4, 16
Suppose 4*z**3 - 48*z**2 - 144*z + 448 = 0. Calculate z.
-4, 2, 14
Determine f so that 8*f**5 + 3396*f**4 - 11972*f**3 + 5168*f**2 + 13680*f - 6848 = 0.
-428, -1, 1/2, 2
Factor 40*s**3 - 685*s**2 + 2885*s - 350.
5*(s - 10)*(s - 7)*(8*s - 1)
Find s, given that -4*s**4/7 + 304*s**3/7 - 300*s**2/7 = 0.
0, 1, 75
What is u in 4*u**2 - 3032*u + 574564 = 0?
379
Suppose t**2/4 - 29*t/2 + 441/4 = 0. What is t?
9, 49
Factor 4*i**5 - 36*i**4 + 120*i**3 - 184*i**2 + 132*i - 36.
4*(i - 3)**2*(i - 1)**3
What is x in -5*x**3 - 615*x**2 - 13455*x + 357075 = 0?
-69, 15
Factor -36*i**3 + 288*i**2 + 16*i - 128.
-4*(i - 8)*(3*i - 2)*(3*i + 2)
Factor -2*q**2 - 32*q - 30.
-2*(q + 1)*(q + 15)
Find p, given that -p**2/11 + 88*p + 969/11 = 0.
-1, 969
Suppose -4*o**5/5 - 28*o**4/5 + 156*o**3/5 - 212*o**2/5 + 88*o/5 = 0. Calculate o.
-11, 0, 1, 2
Factor x**2 + 16*x + 48.
(x + 4)*(x + 12)
Determine q so that 2*q**2 + 86*q + 84 = 0.
-42, -1
Factor 12*o**3 + 176*o**2 - 60*o.
4*o*(o + 15)*(3*o - 1)
What is c in -2*c**2 + 26*c + 228 = 0?
-6, 19
Factor 3*j**4/8 + 3*j**3/8 - 15*j**2 + 87*j/2 - 36.
3*(j - 3)*(j - 2)**2*(j + 8)/8
Factor 115*p**3/8 - 189*p**2/4 + 101*p/8 - 3/4.
(p - 3)*(5*p - 1)*(23*p - 2)/8
Factor 36*d**2 - 327*d + 27.
3*(d - 9)*(12*d - 1)
Find m such that 2*m**2/3 + 188*m/3 + 4418/3 = 0.
-47
Factor l**3 - 47*l**2 - 97*l - 49.
(l - 49)*(l + 1)**2
Factor -2*t**4 - 30*t**3 - 38*t**2 + 174*t - 104.
-2*(t - 1)**2*(t + 4)*(t + 13)
Factor 2*s**3 - 23*s**2/2 + 7*s + 5/2.
(s - 5)*(s - 1)*(4*s + 1)/2
Let -5*p**4 - 280*p**3 - 3630*p**2 + 8120*p - 4205 = 0. Calculate p.
-29, 1
Suppose 50*o**5/3 + 710*o**4/3 + 1036*o**3 + 3160*o**2/3 - 4208*o/3 + 320 = 0. What is o?
-6, -5, -4, 2/5
Factor 4*d**3 - 40*d**2 + 48*d + 288.
4*(d - 6)**2*(d + 2)
Determine f, given that f**3 - 10818*f**2 + 39009708*f - 46889669016 = 0.
3606
Factor -2*y**2/17 - 70*y/17 + 148/17.
-2*(y - 2)*(y + 37)/17
Factor -4*i**3 + 40*i**2 + 224*i.
-4*i*(i - 14)*(i + 4)
Find q such that -242*q**4/17 + 33968*q**3/17 + 56400*q**2/17 - 23872*q/17 + 2272/17 = 0.
-2, 2/11, 142
Determine z so that 2*z**3 - 102*z**2 + 100*z = 0.
0, 1, 50
Solve -2*k**2/9 - 8*k/9 = 0 for k.
-4, 0
Factor 3*c**2 + 198*c - 408.
3*(c - 2)*(c + 68)
Determine b, given that -5*b**3/2 - 153*b**2/2 - 344*b + 150 = 0.
-25, -6, 2/5
Determine c so that -3*c**2 - 390*c + 393 = 0.
-131, 1
Suppose -5*w**3 + 4770*w**2 - 1137645*w = 0. Calculate w.
0, 477
Factor -5*r**5 - 56*r**4 - 180*r**3 - 254*r**2 - 167*r - 42.
-(r + 1)**3*(r + 7)*(5*r + 6)
Suppose 4*v**5 - 199*v**4 - 54*v**3 + 199*v**2 + 50*v = 0. What is v?
-1, -1/4, 0, 1, 50
Suppose -28*h**3 + 288*h**2 + 228*h - 88 = 0. What is h?
-1, 2/7, 11
What is w in -4*w**5 - 4*w**4 + 60*w**3 + 4*w**2 - 152*w + 96 = 0?
-4, -2, 1, 3
Suppose -2*a**4/3 + 32*a**3/3 - 10*a**2/3 - 284*a/3 - 80 = 0. Calculate a.
-2, -1, 4, 15
Let -100*d**4 + 2220*d**3 + 4224*d**2 + 2288*d + 384 = 0. Calculate d.
-1, -2/5, 24
Determine f so that -2*f**2/3 + 94*f/3 - 560/3 = 0.
7, 40
Factor -3*w**2/8 - 9*w/8 - 3/4.
-3*(w + 1)*(w + 2)/8
Determine c so that 2*c**2/9 + 124*c/9 + 1922/9 = 0.
-31
Factor r**3/3 + 162*r**2 + 485*r/3.
r*(r + 1)*(r + 485)/3
Find h such that 3*h**5 + 15*h**4 - 24*h**3 - 132*h**2 + 96*h + 192 = 0.
-4, -1, 2
Factor s**3/3 - 97*s**2/3 - 203*s - 309.
(s - 103)*(s + 3)**2/3
Find n such that n**2/2 - 23*n/2 = 0.
0, 23
Let 160*c**3 - 484*c**2 - 2868*c + 72 = 0. What is c?
-3, 1/40, 6
Factor -m**4/2 + 11*m**3/2 + 39*m**2/2 + 41*m/2 + 7.
-(m - 14)*(m + 1)**3/2
Find y, given that -2*y**3/13 - 3382*y**2/13 - 110110*y - 109850 = 0.
-845, -1
Solve w**5/5 + 34*w**4 + 8017*w**3/5 + 66728*w**2/5 + 22016*w + 10240 = 0 for w.
-80, -8, -1
Determine x so that 4*x**3 - 1184*x**2/7 + 368*x - 640/7 = 0.
2/7, 2, 40
Suppose -3*o**3/4 + 699*o**2/4 - 10920*o + 84672 = 0. Calculate o.
9, 112
Let -4*p**5/9 + 44*p**4/9 - 8*p**3 - 8*p**2/9 + 76*p/9 - 4 = 0. Calculate p.
-1, 1, 9
Suppose u**5 + 18*u**4 + 126*u**3 + 428*u**2 + 705*u + 450 = 0. Calculate u.
-5, -3, -2
Suppose -2*l**2/7 + 366*l/7 = 0. Calculate l.
0, 183
Factor -2*n**2 + 8*n - 6.
-2*(n - 3)*(n - 1)
Solve 10*u**5/9 + 14*u**4/9 - 34*u**3/3 + 34*u**2/9 + 92*u/9 - 16/3 = 0 for u.
-4, -1, 3/5, 1, 2
Factor 2*h**3/9 - 86*h**2 + 24304*h/3 + 384160/9.
2*(h - 196)**2*(h + 5)/9
Find i, given that 20*i**5 + 1512*i**4 + 28252*i**3 - 13064*i**2 - 28272*i + 11552 = 0.
-38, -1, 2/5, 1
Let -5*d**3 - 315*d**2 - 6240*d - 37180 = 0. Calculate d.
-26, -11
Suppose -73*j**4/4 + 35*j**3 + 523*j**2/4 + 167*j/2 + 6 = 0. Calculate j.
-1, -6/73, 4
Let 2*s**2/9 + 2356*s/9 = 0. Calculate s.
-1178, 0
Solve -2*o**2/3 - 14*o/3 + 88/3 = 0 for o.
-11, 4
Factor -3*v**3 - 75*v**2 + 252*v.
-3*v*(v - 3)*(v + 28)
Factor -c**2 + 23*c - 42.
-(c - 21)*(c - 2)
Let -2*h**5 + 33*h**4 - 154*h**3 + 257*h**2 - 174*h 