**3/5 + 6*x**2/5 - 8/5.
2*(x - 1)*(x + 2)**2/5
Factor -13132*x**2 + 1820*x + 8.
-4*(7*x - 1)*(469*x + 2)
Determine a so that a**2/8 + 103*a/4 + 10609/8 = 0.
-103
Find x such that -x**5/2 - 4*x**4 + 6*x**3 + 40*x**2 - 64*x = 0.
-8, -4, 0, 2
Solve 5*f**5/2 - 30*f**4 + 115*f**3 - 120*f**2 - 235*f/2 + 150 = 0 for f.
-1, 1, 3, 4, 5
Solve -4*u**4 + 40*u**3 + 92*u**2 + 48*u = 0.
-1, 0, 12
Find m such that m**3/7 + 11*m**2 - m/7 - 11 = 0.
-77, -1, 1
Let -8*t**5 + 66*t**4 - 114*t**3 + 26*t**2 + 66*t - 36 = 0. Calculate t.
-3/4, 1, 6
Solve n**4/4 - 5*n**3/8 - 3*n**2/8 + n + 1/2 = 0.
-1, -1/2, 2
Factor 3*w**2/2 - 339*w/2 + 333.
3*(w - 111)*(w - 2)/2
What is u in -20*u**5/3 - 8*u**4 + 56*u**3/3 + 32*u**2/3 - 12*u - 8/3 = 0?
-2, -1, -1/5, 1
Find n, given that -2*n**2/13 - 46*n/13 + 100/13 = 0.
-25, 2
Solve 5*n**2/4 + 15*n/2 + 25/4 = 0.
-5, -1
Factor 2*m**2/5 - 88*m/5 - 18.
2*(m - 45)*(m + 1)/5
Factor f**5/2 - 56*f**4 + 110*f**3 + f**2 - 221*f/2 + 55.
(f - 110)*(f - 1)**3*(f + 1)/2
Determine v so that -8*v**4/3 + 22*v**3/3 + 4*v**2 - 6*v = 0.
-1, 0, 3/4, 3
Factor -2*z**2/21 + 446*z/21 + 64/3.
-2*(z - 224)*(z + 1)/21
Determine y, given that -135*y**5 - 477*y**4 + 651*y**3 + 2217*y**2 - 1116*y + 108 = 0.
-3, 2/15, 1/3, 2
Determine m, given that 30*m**5 + 46*m**4 + 18*m**3 + 2*m**2 = 0.
-1, -1/3, -1/5, 0
Suppose 2*o**2 - 684*o + 682 = 0. What is o?
1, 341
Let -5*x**4 + 575*x**3 + 580*x**2 = 0. What is x?
-1, 0, 116
Determine j, given that -14*j**5/9 - 34*j**4/3 + 350*j**3/9 - 298*j**2/9 + 8*j/3 + 40/9 = 0.
-10, -2/7, 1
Let -2*p**5/5 - 8*p**4/5 + 24*p**3/5 = 0. What is p?
-6, 0, 2
Factor -5*u**2 - 5370*u - 10720.
-5*(u + 2)*(u + 1072)
What is w in -5*w**3 - 20*w**2 - 20*w = 0?
-2, 0
Solve -3*p**4/5 - 51*p**3/5 + 3*p**2/5 + 51*p/5 = 0 for p.
-17, -1, 0, 1
Suppose -2*t**5/3 + 16*t**4/3 - 16*t**3/3 - 64*t**2/3 + 32*t = 0. Calculate t.
-2, 0, 2, 6
Factor 4*h**3 - 224*h**2 + 636*h.
4*h*(h - 53)*(h - 3)
Factor 2*p**4 + 4*p**3 - 90*p**2 - 252*p.
2*p*(p - 7)*(p + 3)*(p + 6)
Factor x**2/7 - 11*x/7.
x*(x - 11)/7
What is y in 2*y**4/9 + 10*y**3/3 + 106*y**2/9 + 14*y/3 - 20 = 0?
-10, -3, 1
Let r**4/5 - 34*r**3/5 + 321*r**2/5 - 544*r/5 + 256/5 = 0. What is r?
1, 16
Factor -y**2/11 + 16*y/11 - 64/11.
-(y - 8)**2/11
Factor 2*v**3/13 + 112*v**2/13 - 2*v/13 - 112/13.
2*(v - 1)*(v + 1)*(v + 56)/13
Find z, given that -8*z**3 + 162*z**2 - 154*z = 0.
0, 1, 77/4
Let -3*c**4 + 132*c**3 - 1575*c**2 + 2646*c = 0. Calculate c.
0, 2, 21
What is w in 2*w**4/11 - 26*w**3/11 + 96*w**2/11 - 72*w/11 = 0?
0, 1, 6
Find n such that n**4/7 - 6*n**3/7 - 12*n**2/7 + 38*n/7 - 3 = 0.
-3, 1, 7
Determine c so that c**4 + 24*c**3 + 77*c**2 - 78*c - 360 = 0.
-20, -3, 2
Suppose -1458*x**5/7 - 35208*x**4/7 - 215144*x**3/7 - 31296*x**2/7 - 1152*x/7 = 0. What is x?
-12, -2/27, 0
Determine g so that 5*g**5 + 45*g**4 - 590*g**3 - 8470*g**2 - 30135*g - 22295 = 0.
-7, -1, 13
Find o, given that o**3 + 8*o**2 - 9*o = 0.
-9, 0, 1
Factor 3*h**3 + 36*h**2 - 1215*h.
3*h*(h - 15)*(h + 27)
Factor -3000*q**3 + 11700*q**2 - 15210*q + 6591.
-3*(10*q - 13)**3
Solve 4*o**2 - 5064*o + 1602756 = 0 for o.
633
Factor -c**2 + 851*c + 852.
-(c - 852)*(c + 1)
Factor 2*i**4 - 472*i**3 - 1428*i**2 - 1432*i - 478.
2*(i - 239)*(i + 1)**3
Solve -n**5 + 23*n**4 - 159*n**3 + 277*n**2 + 160*n - 300 = 0 for n.
-1, 1, 3, 10
Let 2*s**2 + 3008*s + 1131008 = 0. Calculate s.
-752
Suppose 100*d**5 + 43985*d**4 - 50710*d**3 + 2215*d**2 + 4410*d = 0. Calculate d.
-441, -1/4, 0, 2/5, 1
Let 5*x**4/4 - 25*x**3/4 + 35*x**2/4 - 15*x/4 = 0. Calculate x.
0, 1, 3
Factor -3*w**3 + 57*w**2 + 60*w.
-3*w*(w - 20)*(w + 1)
Find x, given that -2*x**2/7 + 46*x/7 - 12 = 0.
2, 21
Let -s**2/3 + 44*s/3 + 245/3 = 0. Calculate s.
-5, 49
Find w, given that 2*w**4 - 194*w**3 + 4116*w**2 - 23128*w - 27440 = 0.
-1, 14, 70
Factor 5*t**4 + 100*t**3 + 585*t**2 + 810*t.
5*t*(t + 2)*(t + 9)**2
Factor 3*h**4 - 11904*h**3 + 17713152*h**2 - 11714297856*h + 2905145868288.
3*(h - 992)**4
Suppose -20*f**4 - 465*f**3 + 1405*f**2 - 660*f - 260 = 0. Calculate f.
-26, -1/4, 1, 2
Factor 3*d**2 + 96*d.
3*d*(d + 32)
Solve 2*h**3/15 + 64*h**2/15 + 512*h/15 = 0 for h.
-16, 0
Solve q**5/4 - 9*q**4 + 211*q**3/4 - 54*q**2 - 116*q = 0.
-1, 0, 4, 29
Suppose x**5 - 12*x**4 + 35*x**3 + 12*x**2 - 36*x = 0. Calculate x.
-1, 0, 1, 6
Factor -49*r**4 - 105*r**3 + 117*r**2 - 27*r.
-r*(r + 3)*(7*r - 3)**2
Determine g, given that 10*g**3/7 + 22*g**2/7 - 26*g/7 - 6/7 = 0.
-3, -1/5, 1
Factor -w**3/4 + w**2/2.
-w**2*(w - 2)/4
Find n such that -6*n**5/5 + 22*n**4 - 554*n**3/5 + 522*n**2/5 + 208*n/5 - 56 = 0.
-2/3, 1, 7, 10
Solve -5*b**2/3 - 895*b/6 + 75 = 0 for b.
-90, 1/2
Suppose 3*x**2 + 18*x = 0. Calculate x.
-6, 0
Factor 3*y**5/5 - 33*y**4 + 2184*y**3/5 + 2352*y**2/5.
3*y**2*(y - 28)**2*(y + 1)/5
Find p, given that -5*p**3 + 1020*p**2 + 1025*p = 0.
-1, 0, 205
Solve 7*m**4 + 58*m**3 + 156*m**2 + 152*m + 32 = 0 for m.
-4, -2, -2/7
Let -2*f**2/7 + 208*f/7 - 4526/7 = 0. Calculate f.
31, 73
Solve 2*k**4 - 24*k**3 - 166*k**2 - 84*k + 272 = 0.
-4, -2, 1, 17
Determine q so that 2*q**3 + 26*q**2 + 72*q = 0.
-9, -4, 0
Solve 2*g**3/5 - 22*g**2/5 - 28*g/5 + 48/5 = 0.
-2, 1, 12
Solve -3*w**5/4 + 6*w**4 - 63*w**3/4 + 21*w**2/2 + 15*w - 18 = 0.
-1, 2, 3
Suppose -3*y**3/8 - 27*y**2/2 - 99*y/2 - 48 = 0. Calculate y.
-32, -2
Solve 3*v**5 + 15*v**4 - 3*v**3 - 15*v**2 = 0 for v.
-5, -1, 0, 1
Factor -26*u**3 + 79*u**2 - 55*u + 2.
-(u - 2)*(u - 1)*(26*u - 1)
Factor 8*j**2 + 516*j/5 - 616/5.
4*(j + 14)*(10*j - 11)/5
Suppose h**2 - 114*h - 115 = 0. What is h?
-1, 115
Let 2*i**2 + 96*i + 1152 = 0. What is i?
-24
Suppose -5*d**5 - 35*d**4 + 140*d**3 - 100*d**2 = 0. Calculate d.
-10, 0, 1, 2
Factor -2*l**4 - 26*l**3 - 78*l**2 - 54*l.
-2*l*(l + 1)*(l + 3)*(l + 9)
Find d such that d**4/4 - 45*d**3/4 + 569*d**2/4 - 1407*d/4 + 441/2 = 0.
1, 2, 21
Factor 3*u**2/5 - 10338*u/5 + 8906187/5.
3*(u - 1723)**2/5
Factor 3*f**2/2 + 16731*f + 93308787/2.
3*(f + 5577)**2/2
Let -60*f**4 + 7375*f**3 + 660*f**2 - 5545*f + 1230 = 0. Calculate f.
-1, 1/4, 2/3, 123
Let 3*w**4/7 + 9*w**3/7 - 33*w**2/7 - 9*w/7 + 30/7 = 0. Calculate w.
-5, -1, 1, 2
Let 3*t**2 - 249*t + 1386 = 0. Calculate t.
6, 77
Factor 2*t**2/13 - 32*t/13 + 96/13.
2*(t - 12)*(t - 4)/13
Factor 3*h**3 + 105*h**2 - 3*h - 105.
3*(h - 1)*(h + 1)*(h + 35)
Determine d, given that 5*d**4/6 + 11*d**3/3 + 23*d**2/6 + d = 0.
-3, -1, -2/5, 0
Find n, given that 3*n**4 - 12*n**3 - 9*n**2 + 42*n - 24 = 0.
-2, 1, 4
Let -2*u**2/5 + 78*u/5 + 16 = 0. Calculate u.
-1, 40
Suppose -2*i**4 + 38*i**3 - 174*i**2 + 234*i = 0. Calculate i.
0, 3, 13
Factor 3*r**3 - 24*r**2 - 99*r.
3*r*(r - 11)*(r + 3)
Factor 3*q**2 + 273*q + 270.
3*(q + 1)*(q + 90)
Factor 3*j**3 + 123*j**2/7 + 150*j/7 - 24/7.
3*(j + 2)*(j + 4)*(7*j - 1)/7
Factor -30*s**5 + 99*s**4 - 117*s**3 + 57*s**2 - 9*s.
-3*s*(s - 1)**3*(10*s - 3)
Factor -2*u**3 - 10*u**2 - 4*u + 16.
-2*(u - 1)*(u + 2)*(u + 4)
Let 2*i**3/5 - 6*i**2/5 - 16*i = 0. Calculate i.
-5, 0, 8
Determine j, given that 2*j**3/3 + 1184*j**2/3 - 2*j/3 - 1184/3 = 0.
-592, -1, 1
Suppose -d**3/3 - 11*d**2/3 = 0. Calculate d.
-11, 0
Determine t so that -t**4/2 + 3*t**3/2 + 3*t**2 - 14*t + 12 = 0.
-3, 2
Factor -4*j**3 + 12*j**2 + 520*j - 1056.
-4*(j - 12)*(j - 2)*(j + 11)
Factor 2*r**2/5 + 6*r/5.
2*r*(r + 3)/5
Let 3*d**4 - 69*d**3 = 0. What is d?
0, 23
Factor 5*f**5 + 700*f**4.
5*f**4*(f + 140)
Solve -3*y**2 - 18*y - 27 = 0.
-3
Factor 2*z**2 + 34*z - 76.
2*(z - 2)*(z + 19)
Find t such that 35*t**3 - 135*t**2 + 120*t + 20 = 0.
-1/7, 2
Factor -2*n**5 - 14*n**4 - 20*n**3.
-2*n**3*(n + 2)*(n + 5)
What is h in 8*h**5 - 572*h**4 + 280*h**3 + 284*h**2 = 0?
-1/2, 0, 1, 71
Factor -y**3 + 3*y**2 - 3*y + 1.
-(y - 1)**3
Factor 252*b**2 + 1000*b - 32.
4*(b + 4)*(63*b - 2)
Factor -n**2/6 + 43*n/3 - 1849/6.
-(n - 43)**2/6
Find z, given that -20*z**4/3 + 155*z**3/6 + 10*z**2 - 155*z/6 - 10/3 = 0.
-1, -1/8, 1, 4
Solve 245*i**3 - 927430*i**2 - 530020*i - 75720 = 0 for i.
-2/7, 3786
Factor 2*o**4/9 - 8*o**3/9 - 32*o**2/3 - 224*o/9 - 160/9.
2*(o - 10)*(o + 2)**3/9
Factor 350*t**4/9 + 880*t**3/9 + 536*t**2/9 + 32*t/3.
2*t*(5*t + 2)**2*(7*t + 12)/9
Let 2*q**2/5 + 99*q/5 + 144/5 = 0. What is q?
-48, -3/2
Factor -28*p**3 + 120*p**2 - 116*p + 24.
-4*(p - 3)*(p - 1)*(7*p - 2)
Suppose 2*i**5 + 32*i**4 + 106*i**3 + 124*i*