.
-2*(w - 1)*(w + 2)*(w + 20)/13
Factor 3*k**3/4 - 45*k**2 + 177*k/4.
3*k*(k - 59)*(k - 1)/4
Factor -w**4/8 - 9*w**3/8 - 5*w**2/2 - 3*w/2.
-w*(w + 1)*(w + 2)*(w + 6)/8
Solve s**2 - 4*s - 12 = 0 for s.
-2, 6
Factor 3*u**2 + 147*u - 150.
3*(u - 1)*(u + 50)
Determine b, given that -3*b**4/4 - 3*b**3/4 + 21*b**2/4 + 3*b/4 - 9/2 = 0.
-3, -1, 1, 2
Let f**3 - 6*f**2 + 3*f + 10 = 0. What is f?
-1, 2, 5
Suppose 3*r**4 - 1143*r**3 - 1152*r**2 + 2292*r = 0. Calculate r.
-2, 0, 1, 382
Factor -5*v**3 - 365*v**2 - 4635*v - 4275.
-5*(v + 1)*(v + 15)*(v + 57)
Factor 4*t**2 - 232*t - 480.
4*(t - 60)*(t + 2)
Factor -i**5 - i**4 + 12*i**3.
-i**3*(i - 3)*(i + 4)
Suppose -4*l**3 + 3504*l**2 - 763860*l - 1541768 = 0. Calculate l.
-2, 439
Let -p**3 + 31*p + 30 = 0. Calculate p.
-5, -1, 6
Determine m, given that -m**3 - 227*m**2 + 920*m - 924 = 0.
-231, 2
Find m, given that 20*m**5 + 488*m**4 - 328*m**3 - 688*m**2 + 308*m + 200 = 0.
-25, -1, -2/5, 1
Factor -5*l**2 - 2540*l - 7575.
-5*(l + 3)*(l + 505)
Factor -2*l**2/9 - 191*l/9 - 95/9.
-(l + 95)*(2*l + 1)/9
Suppose -4*o**4/5 + 88*o**3/5 - 10648*o/5 + 58564/5 = 0. What is o?
-11, 11
Factor 3*i**4 - 15*i**3 - 51*i**2 + 63*i.
3*i*(i - 7)*(i - 1)*(i + 3)
Solve -4*h**2/3 - 1108*h/3 = 0 for h.
-277, 0
Suppose b**3/5 + 6*b**2/5 + 8*b/5 = 0. What is b?
-4, -2, 0
Suppose 2*s**4/7 - 10*s**3/7 - 272*s**2/7 + 40*s = 0. Calculate s.
-10, 0, 1, 14
Solve 24*c**5 - 100*c**4 - 4*c**3 + 88*c**2 - 32*c = 0 for c.
-1, 0, 1/2, 2/3, 4
What is h in -4*h**5 + 8*h**4 + 4*h**3 - 8*h**2 = 0?
-1, 0, 1, 2
Suppose -2*t**5/3 - 5*t**4/6 + 9*t**3/2 + 11*t**2/6 - 23*t/6 - 1 = 0. Calculate t.
-3, -1, -1/4, 1, 2
What is q in -3*q**5 + 31*q**4 - 86*q**3 - 24*q**2 + 224*q + 128 = 0?
-1, -2/3, 4
Factor -r**2/4 - 55*r/4 + 59.
-(r - 4)*(r + 59)/4
Find f such that -2*f**5/7 - 4*f**4 - 86*f**3/7 - 52*f**2/7 + 88*f/7 + 80/7 = 0.
-10, -2, -1, 1
Factor -2*j**4 + 166*j**3 + 866*j**2 + 1226*j + 528.
-2*(j - 88)*(j + 1)**2*(j + 3)
Factor -9*f**2/4 + 1929*f + 1287.
-3*(f - 858)*(3*f + 2)/4
Factor l**4 + 4*l**3 - 5*l**2.
l**2*(l - 1)*(l + 5)
Factor -q**2 + 1785*q + 1786.
-(q - 1786)*(q + 1)
Factor -v**3/2 - 2768*v**2 - 3830912*v.
-v*(v + 2768)**2/2
What is a in a**4/4 + 9*a**3/2 + 4*a**2 - 9*a/2 - 17/4 = 0?
-17, -1, 1
Find d such that -5*d**2/4 + 35*d + 75 = 0.
-2, 30
What is x in x**4 + 36*x**3 - 3*x**2 - 110*x - 72 = 0?
-36, -1, 2
Let -m**2/2 + 3*m/2 + 9 = 0. Calculate m.
-3, 6
Factor 57*d**3/5 + 63*d**2/5 + 6*d/5.
3*d*(d + 1)*(19*d + 2)/5
Determine f, given that 4*f**2/3 + 172*f/3 + 56 = 0.
-42, -1
Factor 15*i**4 - 66*i**3 - 240*i**2 - 222*i - 63.
3*(i - 7)*(i + 1)**2*(5*i + 3)
Factor -2*g**3 + 8*g**2.
-2*g**2*(g - 4)
Let -15*t**5/2 + 2225*t**4 - 331505*t**3/2 + 107295*t**2 + 165760*t - 109520 = 0. What is t?
-1, 2/3, 1, 148
Factor -z**3 + 491*z**2 - 60024*z - 60516.
-(z - 246)**2*(z + 1)
Find d, given that -3*d**4 + 102*d**3 - 747*d**2 + 1848*d - 1200 = 0.
1, 4, 25
Factor 3*l**4 + 189*l**3 + 3384*l**2 + 24000*l + 59904.
3*(l + 8)**3*(l + 39)
Factor -5*b**5 + 115*b**4 + 510*b**3 + 790*b**2 + 535*b + 135.
-5*(b - 27)*(b + 1)**4
Factor -2*u**2/15 + 4624*u/15 - 2672672/15.
-2*(u - 1156)**2/15
Let 2*c**3 - 9826*c**2/7 + 1723410*c/7 + 246402/7 = 0. What is c?
-1/7, 351
Find l, given that -2*l**5 + 8*l**4 + 98*l**3 + 208*l**2 + 120*l = 0.
-3, -2, -1, 0, 10
Factor 5*a**2 - 20.
5*(a - 2)*(a + 2)
Solve 5*n**2/2 - 2995*n + 1794005/2 = 0 for n.
599
Solve -2*z**3 - 26*z**2 - 96*z - 72 = 0.
-6, -1
Suppose 5*z**3 + 30*z**2 + 45*z = 0. Calculate z.
-3, 0
Factor s**5/3 + 3*s**4 + 29*s**3/3 + 43*s**2/3 + 10*s + 8/3.
(s + 1)**3*(s + 2)*(s + 4)/3
Factor -5*a**3/4 - 25*a**2/4 + 565*a/4 + 3465/4.
-5*(a - 11)*(a + 7)*(a + 9)/4
Solve m**3 - 471*m**2 + 73947*m - 3869893 = 0 for m.
157
Factor 6*z**3 + 15*z**2 + 3*z - 6.
3*(z + 1)*(z + 2)*(2*z - 1)
Factor -2*h**3/3 + 58*h**2/3 - 36*h.
-2*h*(h - 27)*(h - 2)/3
What is n in 3*n**5 + 48*n**4 + 45*n**3 = 0?
-15, -1, 0
Factor 5*l**5 - 260*l**4 - 30*l**3 + 1600*l**2 - 2095*l + 780.
5*(l - 52)*(l - 1)**3*(l + 3)
Determine b so that -5*b**3 + 10*b**2 + 5*b - 10 = 0.
-1, 1, 2
Factor -s**2/6 - 94*s/3 - 187/6.
-(s + 1)*(s + 187)/6
Determine s, given that -3*s**5/2 + 11*s**4/2 + 3*s**3 - 4*s**2 = 0.
-1, 0, 2/3, 4
Find o such that -2*o**3/3 + 8*o**2 - 26*o + 56/3 = 0.
1, 4, 7
Determine d so that -2*d**5/5 - 2*d**4/5 + 44*d**3/5 + 16*d**2 = 0.
-4, -2, 0, 5
Solve -4*z**3/7 - 16*z**2/7 = 0.
-4, 0
Solve -2*a**2/3 + 28*a/3 - 80/3 = 0 for a.
4, 10
Factor -d**3 - 61*d**2 - 60*d.
-d*(d + 1)*(d + 60)
Factor -o**3/7 - 9*o**2/7 - 24*o/7 - 16/7.
-(o + 1)*(o + 4)**2/7
Factor -s**3 + 10608*s**2 - 37509888*s + 44211654656.
-(s - 3536)**3
Find f, given that -4*f**2 + 232*f - 3364 = 0.
29
Find l such that 2*l**3/7 - 18*l**2/7 + 22*l/7 + 6 = 0.
-1, 3, 7
Factor -2*h**3/3 + 16*h**2/3 - 14*h/3.
-2*h*(h - 7)*(h - 1)/3
Determine l so that 2*l**2/9 + 112*l/9 - 38/3 = 0.
-57, 1
Factor z**3/9 - 46*z**2/9 - 32*z/3.
z*(z - 48)*(z + 2)/9
Determine d so that -5*d**2 - 860*d - 36980 = 0.
-86
Solve -2*m**2/5 + 58*m/5 + 124/5 = 0 for m.
-2, 31
Factor -j**2/3 + 3*j + 70/3.
-(j - 14)*(j + 5)/3
Solve 3*g**5/5 + 21*g**4/5 + 54*g**3/5 + 66*g**2/5 + 39*g/5 + 9/5 = 0.
-3, -1
Solve -5*m**3 - 1725*m**2 - 198375*m - 7604375 = 0 for m.
-115
Find v, given that v**5 + 110*v**4 + 3493*v**3 + 24104*v**2 - 37100*v - 490000 = 0.
-50, -7, 4
Factor 6*w**2 - 112*w + 72.
2*(w - 18)*(3*w - 2)
Factor -4*i**5 + 52*i**4 + 248*i**3 + 392*i**2 + 268*i + 68.
-4*(i - 17)*(i + 1)**4
Suppose 2*y**3 - 10*y**2 - 16*y + 24 = 0. What is y?
-2, 1, 6
Factor 3*o**3 + 57*o**2 - 126*o.
3*o*(o - 2)*(o + 21)
Determine c so that -2*c**3 - 54*c**2 + 2*c + 54 = 0.
-27, -1, 1
Factor 2*k**4/3 + 16*k**3/3 - 20*k**2/3 - 16*k/3 + 6.
2*(k - 1)**2*(k + 1)*(k + 9)/3
Factor l**3/4 + 23*l**2/4.
l**2*(l + 23)/4
Factor -b**3/2 + 483*b**2/2 - 77763*b/2 + 4173281/2.
-(b - 161)**3/2
Determine l, given that -9750*l**5 - 42775*l**4 - 60040*l**3 - 26200*l**2 + 1920*l + 720 = 0.
-2, -6/5, -2/13, 1/6
Find d such that -102*d**5/11 + 514*d**4/11 - 632*d**3/11 + 24*d**2/11 = 0.
0, 2/51, 2, 3
Determine k so that -2*k**5/11 - 26*k**4/11 + 300*k**3/11 - 724*k**2/11 + 662*k/11 - 210/11 = 0.
-21, 1, 5
What is a in -a**5/2 + a**4/2 + 21*a**3 - 98*a**2 + 164*a - 96 = 0?
-8, 2, 3
Determine j so that -2*j**3/9 + 22*j**2/9 + 736*j/9 + 384 = 0.
-8, 27
Factor -3*h**2/8 - 663*h/2 - 146523/2.
-3*(h + 442)**2/8
Solve c**2/5 - 4/5 = 0.
-2, 2
Factor -2*n**2/11 + 344*n/11 - 14792/11.
-2*(n - 86)**2/11
Suppose -15*g**4 + 850*g**3 - 11435*g**2 - 17980*g + 16820 = 0. What is g?
-2, 2/3, 29
Factor -3*g**3/2 - 3*g**2 + 30*g - 36.
-3*(g - 2)**2*(g + 6)/2
Let -8*k**5/5 + 44*k**4/5 + 68*k**3/5 - 308*k**2/5 + 276*k/5 - 72/5 = 0. What is k?
-3, 1/2, 1, 6
Find f, given that -3*f**5/8 - 81*f**4 - 963*f**3/4 - 240*f**2 - 639*f/8 = 0.
-213, -1, 0
Let -4*u**2 - 112*u - 108 = 0. Calculate u.
-27, -1
Find g such that -15*g**4 + 635*g**3 - 805*g**2 - 635*g + 820 = 0.
-1, 1, 4/3, 41
Factor -2*x**4 + 8*x**3 + 6*x**2 - 36*x.
-2*x*(x - 3)**2*(x + 2)
Factor -2*q**3/21 - 4*q**2/3 - 34*q/7 - 36/7.
-2*(q + 2)*(q + 3)*(q + 9)/21
Let 2*p**4 + 88*p**3 + 966*p**2 - 88*p - 968 = 0. Calculate p.
-22, -1, 1
Factor -g**3/7 + 10*g**2/7 - 4*g + 24/7.
-(g - 6)*(g - 2)**2/7
Factor -5*c**4 + 5*c**3 + 240*c**2 - 860*c + 800.
-5*(c - 5)*(c - 2)**2*(c + 8)
Factor -4*z**2 - 3016*z - 568516.
-4*(z + 377)**2
Factor -3*o**3/4 - 4*o**2 + 5*o/4 + 39/2.
-(o - 2)*(o + 3)*(3*o + 13)/4
What is w in -2*w**4/11 + 72*w**3/11 - 322*w**2/11 + 372*w/11 = 0?
0, 2, 3, 31
Factor 4*p**4 - 32*p**3 - 312*p**2 + 704*p - 364.
4*(p - 13)*(p - 1)**2*(p + 7)
Factor -2*j**4 - 18*j**3 - 40*j**2.
-2*j**2*(j + 4)*(j + 5)
Find b, given that 2*b**5/7 + 736*b**4/7 + 89288*b**3/7 + 3447200*b**2/7 - 14883968*b/7 + 15252992/7 = 0.
-124, 2
Factor o**3/3 + 2*o**2/3 - 3*o - 6.
(o - 3)*(o + 2)*(o + 3)/3
Factor 3*g**2 - 2703*g.
3*g*(g - 901)
Find l, given that -l**4/4 + 27*l**3 - 781*l**2 + 2808*l - 2704 = 0.
2, 52
Determine g so that -14*g**4/3 - 8*g**3/3 + 2*g**2 = 0.
-1, 0, 3/7
Factor -2*d**3/3 - 4268*d**2 - 9107912*d - 19436284208/3.
-2*(d + 2134)**3/3
Solve 2*k**3 - 976*k**2 - 4922*k - 3944 = 0.
-4, -1, 493
Factor -4*c**2 - 48*c - 44.
-4*(c + 1)*(c + 11)
Find v, given that 18*v**3/5 - 7*v**2 - 2*v/5 = 0.
-1/18, 0, 2
Factor -2*h**5 - 16*h**4 +