*(r - 6)*(r - 1)*(r + 2)
Factor 2*a**4/7 - 4*a**3/7 - 2*a**2/7 + 4*a/7.
2*a*(a - 2)*(a - 1)*(a + 1)/7
Determine d, given that -2*d**4 - 8*d**3 - 6*d**2 + 8*d + 8 = 0.
-2, -1, 1
Factor -3*h**4 - 234*h**3 - 681*h**2 - 450*h.
-3*h*(h + 1)*(h + 2)*(h + 75)
Factor -8*y**3/5 - 2986*y**2/5 - 746*y/5.
-2*y*(y + 373)*(4*y + 1)/5
Factor -2*t**2/11 + 4332*t/11 - 2345778/11.
-2*(t - 1083)**2/11
What is z in -2*z**5 - 9282*z**4 - 14349964*z**3 - 7375842288*z**2 + 22228115904*z - 14837914368 = 0?
-1548, 1, 2
Let -3*y**4/2 + 78*y**3 + 1536*y**2 + 6528*y = 0. What is y?
-8, 0, 68
Determine b so that -4*b**4 - 222*b**3 + 346*b**2 + 228*b = 0.
-57, -1/2, 0, 2
Solve 5*f**3 + 45*f**2 + 100*f = 0 for f.
-5, -4, 0
Factor y**4/5 - y**3/5 - 2*y**2 + 4*y/5 + 24/5.
(y - 3)*(y - 2)*(y + 2)**2/5
Suppose -2*b**5/9 - 2*b**4/3 + 44*b**3/9 + 112*b**2/9 - 64*b/3 - 256/9 = 0. What is b?
-4, -1, 2, 4
Let -3*a**2 - 60*a + 63 = 0. What is a?
-21, 1
Factor 5*w**4 + 1800*w**3 + 10680*w**2 + 21280*w + 14160.
5*(w + 2)**3*(w + 354)
Factor 4*g**4 + 48*g**3 + 68*g**2 - 120*g.
4*g*(g - 1)*(g + 3)*(g + 10)
Factor b**3/5 - 57*b**2/5 + 783*b/5 + 841/5.
(b - 29)**2*(b + 1)/5
Find c such that -c**5 + 11*c**4 + 55*c**3 + 73*c**2 + 30*c = 0.
-2, -1, 0, 15
Factor 2*m**3 - 14*m**2 + 20*m.
2*m*(m - 5)*(m - 2)
Factor 5*b**2 + 1220*b.
5*b*(b + 244)
Factor q**3/7 + 4*q**2 + 23*q - 190/7.
(q - 1)*(q + 10)*(q + 19)/7
Solve -u**3 - 15*u**2 - 56*u - 60 = 0.
-10, -3, -2
Determine p so that -123*p**3/5 - 129*p**2/5 - 6*p/5 = 0.
-1, -2/41, 0
Find i, given that -3*i**2 + 1800*i - 270000 = 0.
300
Determine a, given that -3*a**2/2 - 54*a + 1215/2 = 0.
-45, 9
Find b such that 10*b**4 + 7285*b**3 + 3615*b**2 - 18190*b + 7280 = 0.
-728, -2, 1/2, 1
Factor 2*p**4 + 6*p**3 - 8*p**2 - 24*p.
2*p*(p - 2)*(p + 2)*(p + 3)
Factor -3*d**4/4 + 3*d**3 + 111*d**2/4 - 30*d.
-3*d*(d - 8)*(d - 1)*(d + 5)/4
Factor -175*y**2 + 370*y - 40.
-5*(y - 2)*(35*y - 4)
Factor -3*g**5 + 18*g**4 + 45*g**3 + 24*g**2.
-3*g**2*(g - 8)*(g + 1)**2
Determine x, given that 12*x**4 - 477*x**3 - 1668*x**2 - 387*x = 0.
-3, -1/4, 0, 43
Factor 2*l**3/3 - 8*l**2/3 - 74*l/3 + 80/3.
2*(l - 8)*(l - 1)*(l + 5)/3
Factor 14*a**2/3 - 46*a/3 + 4.
2*(a - 3)*(7*a - 2)/3
Let -t**2/2 - 30*t - 171/2 = 0. What is t?
-57, -3
Factor -25*q**4 - 885*q**3 - 351*q**2 - 35*q.
-q*(q + 35)*(5*q + 1)**2
Factor 3*o**3 + 75*o**2 - 162*o.
3*o*(o - 2)*(o + 27)
Suppose 2*a**4/11 - 72*a**3/11 + 776*a**2/11 - 2304*a/11 + 2048/11 = 0. Calculate a.
2, 16
Factor c**4/6 + 43*c**3/6 + 159*c**2/2 + 63*c/2 - 441.
(c - 2)*(c + 3)*(c + 21)**2/6
Let 4*c**5 - 16*c**4 + 16*c**3 + 8*c**2 - 20*c + 8 = 0. Calculate c.
-1, 1, 2
Suppose 2*o**2/5 + 184*o/5 + 4232/5 = 0. What is o?
-46
Let -4*r**3/5 - 252*r**2/5 = 0. Calculate r.
-63, 0
Find s such that -s**2 - 8*s = 0.
-8, 0
Factor 5*y**4 + 275*y**3 - 285*y**2 - 275*y + 280.
5*(y - 1)**2*(y + 1)*(y + 56)
Factor 4*p**4 + 84*p**3 + 524*p**2 + 684*p - 1296.
4*(p - 1)*(p + 4)*(p + 9)**2
What is j in -4*j**4/5 + 3112*j**3/5 - 602164*j**2/5 - 242736*j - 121680 = 0?
-1, 390
Solve -20*d**5 + 75*d**4 + 20*d**3 - 320*d**2 + 240*d + 80 = 0 for d.
-2, -1/4, 2
Determine y so that 3*y**5 - 123*y**4 - 975*y**3 - 1569*y**2 - 720*y = 0.
-5, -1, 0, 48
Factor -10*g**4 + 564*g**3 - 8064*g**2 + 3136*g.
-2*g*(g - 28)**2*(5*g - 2)
Let -3*j**2/5 + 183*j/5 = 0. What is j?
0, 61
Let -4*v**3/9 - 28*v**2/3 - 60*v - 108 = 0. Calculate v.
-9, -3
Find n such that -125*n**4 + 775*n**3 - 570*n**2 - 860*n - 200 = 0.
-2/5, 2, 5
Factor -4*f**3 + 40*f**2.
-4*f**2*(f - 10)
Factor 2*z**2/11 + 18*z/11 - 884/11.
2*(z - 17)*(z + 26)/11
Factor -4*u**3 + 81*u**2 - 162*u.
-u*(u - 18)*(4*u - 9)
Let -12*g**4 - 128*g**3 + 3356*g**2 - 1104*g = 0. What is g?
-23, 0, 1/3, 12
Factor -4*o**4/9 + 64*o**3/3.
-4*o**3*(o - 48)/9
Suppose q**3/3 - 14*q**2/3 + 25*q/3 - 4 = 0. Calculate q.
1, 12
Factor f**2/5 + f/5 - 6/5.
(f - 2)*(f + 3)/5
Factor -5*h**4 + 1275*h**3 - 2535*h**2 + 1265*h.
-5*h*(h - 253)*(h - 1)**2
Factor 3*t**2 + 87*t + 540.
3*(t + 9)*(t + 20)
Find y, given that 4*y**5/7 - 4*y**4 + 68*y**3/7 - 68*y**2/7 + 24*y/7 = 0.
0, 1, 2, 3
Solve -3*g**2/2 + 6678*g - 7432614 = 0.
2226
Factor d**3 - 13*d**2/4 - 19*d/2 - 21/4.
(d + 1)**2*(4*d - 21)/4
Let 7*t**3/3 + 3*t**2 - 256*t - 220/3 = 0. Calculate t.
-11, -2/7, 10
Let l**5/4 - 16*l**4 + 693*l**3/2 - 2646*l**2 + 9261*l/4 = 0. Calculate l.
0, 1, 21
Let u**5/7 + 5*u**4/7 + u**3/7 - 13*u**2/7 - 2*u/7 + 8/7 = 0. Calculate u.
-4, -2, -1, 1
Factor 2*v**3 - 262*v**2 - 264*v.
2*v*(v - 132)*(v + 1)
Determine f so that f**2/9 + 6*f - 55/9 = 0.
-55, 1
Solve 2*q**5/11 + 74*q**4/11 + 140*q**3/11 - 4*q**2/11 - 142*q/11 - 70/11 = 0.
-35, -1, 1
Find r, given that 49*r**5/10 + 119*r**4/2 - 1321*r**3/10 - 583*r**2/10 + 516*r/5 - 126/5 = 0.
-14, -1, 3/7, 2
Solve p**3/3 + 299*p**2/3 + 22792*p/3 + 21904 = 0.
-148, -3
Factor -4*x**3 - 336*x**2 - 9408*x - 87808.
-4*(x + 28)**3
Suppose -14*g**4 + 32*g**3 - 22*g**2 + 4*g = 0. What is g?
0, 2/7, 1
Determine q, given that 2*q**4 + 70*q**3 + 696*q**2 + 1280*q - 2048 = 0.
-16, -4, 1
Let 3*t**3 - 4743*t**2 + 2499561*t - 439089549 = 0. Calculate t.
527
Let -r**2/6 - 19*r/2 + 29/3 = 0. Calculate r.
-58, 1
Determine d, given that 2*d**4/9 + 1132*d**3/9 + 160178*d**2/9 = 0.
-283, 0
Determine v so that -v**3 - 191*v**2 + 580*v - 388 = 0.
-194, 1, 2
Factor b**3/3 - 17*b**2/3 + 31*b/3 - 5.
(b - 15)*(b - 1)**2/3
Solve -2*a**2/11 + 14*a/11 = 0.
0, 7
Solve -3*h**5 - 36*h**4 + 117*h**3 + 1950*h**2 - 900*h - 27000 = 0 for h.
-10, -6, 5
Determine g, given that -2*g**5/11 + 98*g**4/11 - 24*g**3 - 568*g**2/11 + 736*g/11 = 0.
-2, 0, 1, 4, 46
Solve 2*m**2/5 + 666*m/5 + 1324/5 = 0.
-331, -2
Factor 3*x**5/7 - 561*x**4/7 + 25374*x**3/7 + 79518*x**2/7 + 80655*x/7 + 27075/7.
3*(x - 95)**2*(x + 1)**3/7
Suppose -7225*y**2/7 - 340*y - 28 = 0. Calculate y.
-14/85
Factor -d**5/2 - 7*d**4 - 69*d**3/2 - 70*d**2 - 50*d.
-d*(d + 2)**2*(d + 5)**2/2
Determine n so that 2*n**4 - 56*n**3 + 54*n**2 = 0.
0, 1, 27
Determine s so that 15*s**4/8 + 21*s**3/4 + 21*s**2/8 - 3*s/4 = 0.
-2, -1, 0, 1/5
Solve -4*w**2 - 60*w + 64 = 0.
-16, 1
Let b**4/2 - 5*b**3/2 + b**2 + 4*b = 0. Calculate b.
-1, 0, 2, 4
Factor 3*t**5/2 + 51*t**4/2 + 168*t**3 + 528*t**2 + 768*t + 384.
3*(t + 1)*(t + 4)**4/2
Factor 2*p**3 - 1174*p**2 - 1176*p.
2*p*(p - 588)*(p + 1)
Factor 36*y**2 + 188*y + 40.
4*(y + 5)*(9*y + 2)
Factor 2*y**4/9 - 4*y**3 - 2*y**2/9 + 4*y.
2*y*(y - 18)*(y - 1)*(y + 1)/9
Factor -x**5 + 49*x**4 - 710*x**3 + 2684*x**2 - 2904*x.
-x*(x - 22)**2*(x - 3)*(x - 2)
Suppose -2*b**4/9 - 152*b**3/9 - 1222*b**2/9 - 1072*b/9 = 0. Calculate b.
-67, -8, -1, 0
Let -3*m**5 - 36*m**4 - 84*m**3 - 18*m**2 + 87*m + 54 = 0. Calculate m.
-9, -2, -1, 1
Factor a**4/2 + a**3/2 - 11*a**2 - 20*a.
a*(a - 5)*(a + 2)*(a + 4)/2
Factor -2*d**3 + 7*d**2/2 - d - 1/2.
-(d - 1)**2*(4*d + 1)/2
Solve 2*u**5/9 + 62*u**4/9 + 52*u**3/3 - 392*u**2/9 - 1616*u/9 - 448/3 = 0.
-28, -2, 3
Let 5*b**4/4 - 15*b**3 - 45*b**2/2 + 405*b + 3645/4 = 0. What is b?
-3, 9
Factor 2*x**4/11 + 824*x**3/11 + 83208*x**2/11 - 342784*x/11 + 346112/11.
2*(x - 2)**2*(x + 208)**2/11
Determine w so that 2*w**4/7 - 22*w**3/7 + 54*w**2/7 - 50*w/7 + 16/7 = 0.
1, 8
Solve f**5/7 - 5*f**4/7 - f**3/7 + 5*f**2/7 = 0 for f.
-1, 0, 1, 5
Let 6*j**3 - 25*j**2 + 4*j = 0. What is j?
0, 1/6, 4
Suppose 2*a**2/11 + 160*a/11 + 3200/11 = 0. Calculate a.
-40
What is z in -28*z**3 - 8*z**2 + 112*z + 32 = 0?
-2, -2/7, 2
Solve -2*g**5 + 12*g**4 - 108*g**2 + 162*g = 0.
-3, 0, 3
Factor -5*a**2 - 140*a - 575.
-5*(a + 5)*(a + 23)
Suppose -4*q**3/9 + 40*q**2/9 + 4*q/9 - 40/9 = 0. Calculate q.
-1, 1, 10
Let -a**3/2 - 2*a**2 - 3*a/2 = 0. What is a?
-3, -1, 0
Factor 2*t**5/17 - 594*t**4/17 + 44400*t**3/17 - 43808*t**2/17.
2*t**2*(t - 148)**2*(t - 1)/17
Factor -4*o**4 + 3084*o**3 - 792588*o**2 + 67898372*o.
-4*o*(o - 257)**3
Factor 2*m**4 - 34*m**3 + 4*m**2 + 1120*m.
2*m*(m - 14)*(m - 8)*(m + 5)
Find a, given that 8*a**5 - 340*a**4 - 196*a**3 + 1004*a**2 + 1196*a + 344 = 0.
-1, -1/2, 2, 43
Let 5808*t**2 + 10296*t + 4563 = 0. Calculate t.
-39/44
Factor -g**4/2 + 43*g**3 + 224*g**2 + 317*g + 273/2.
-(g - 91)*(g + 1)**2*(g + 3)/2
Factor -3*y**3 - 4182*y**2 - 8355*y - 4176.
-3*(y + 1)**2*(y + 1392)
Factor z**2/5 - 6776*z/5 + 11478544/5.
(z - 3388)**2/5
Factor -g**4/3 + 16*g**3/3 - 13*