a**3 - 165*a**2 - 560*a - 320.
-5*(a - 8)**2*(a + 1)**2
Determine n so that n**4/3 - 15*n**3 - 81*n**2 - 347*n/3 - 50 = 0.
-3, -1, 50
Factor -3*i**3 + 36*i**2 + 81*i + 42.
-3*(i - 14)*(i + 1)**2
Solve d**4/6 + 5*d**3/2 + 19*d**2/2 + 17*d/6 - 15 = 0 for d.
-9, -5, -2, 1
Factor -2*q**2/5 + 2022*q/5 - 404.
-2*(q - 1010)*(q - 1)/5
Find q such that 4*q**5/5 + 20*q**4 + 152*q**3 + 216*q**2 - 972*q + 2916/5 = 0.
-9, 1
Factor w**2 - 16*w + 64.
(w - 8)**2
Find c, given that -3*c**5/4 + 21*c**3/2 - 9*c**2 - 39*c/4 + 9 = 0.
-4, -1, 1, 3
What is f in 5*f**3 + 60*f**2 + 105*f + 50 = 0?
-10, -1
Solve -3*j**2/5 + 6*j/5 + 72/5 = 0.
-4, 6
Find d, given that -2*d**3 + 8132*d**2 - 8274304*d + 16516096 = 0.
2, 2032
Solve -3*o**2 - 18060*o - 27180300 = 0.
-3010
Solve -y**2/4 - 3*y/2 + 27/4 = 0.
-9, 3
Factor j**2 - 15*j - 16.
(j - 16)*(j + 1)
Find r such that -42*r**5 - 506*r**4 - 902*r**3 - 414*r**2 + 64*r + 40 = 0.
-10, -1, -1/3, 2/7
Factor -l**5/6 + 11*l**4/6 + 25*l**3/6 + 13*l**2/6.
-l**2*(l - 13)*(l + 1)**2/6
Factor 4*b**4/5 + 4*b**3 - 12*b**2/5 - 36*b - 216/5.
4*(b - 3)*(b + 2)*(b + 3)**2/5
Factor -h**4 + 4*h**3 + 11*h**2 + 6*h.
-h*(h - 6)*(h + 1)**2
Factor -3*b**2/4 + 375*b/4 - 93.
-3*(b - 124)*(b - 1)/4
Factor y**5/2 - 19*y**4/2 + 139*y**3/2 - 485*y**2/2 + 400*y - 250.
(y - 5)**3*(y - 2)**2/2
Determine d, given that 3*d**3/7 - 12*d**2/7 - 12*d/7 + 48/7 = 0.
-2, 2, 4
Let -4*y**5/5 - 4*y**4 - 28*y**3/5 + 4*y**2/5 + 32*y/5 + 16/5 = 0. What is y?
-2, -1, 1
What is r in -966*r**3 - 1270*r**2 - 312*r - 8 = 0?
-1, -2/7, -2/69
Factor -p**2/3 + 71*p/3 + 146/3.
-(p - 73)*(p + 2)/3
Factor o**4/2 + 41*o**3 - 3*o**2/2 - 122*o + 82.
(o - 1)**2*(o + 2)*(o + 82)/2
Factor -3*h**2/5 + 102*h/5 + 441.
-3*(h - 49)*(h + 15)/5
Factor 3*f**5 + 69*f**4 + 342*f**3 + 636*f**2 + 408*f.
3*f*(f + 2)**3*(f + 17)
Find v, given that -v**2/4 + v = 0.
0, 4
Determine p, given that p**5/9 + 4*p**4/9 - p**3/9 - 16*p**2/9 - 4*p/3 = 0.
-3, -2, -1, 0, 2
Factor -m**2/3 - 10*m/3 - 16/3.
-(m + 2)*(m + 8)/3
Determine v, given that -2*v**2/3 + 4*v + 32/3 = 0.
-2, 8
Factor f**5 + 8*f**4 - 10*f**3 - 8*f**2 + 9*f.
f*(f - 1)**2*(f + 1)*(f + 9)
Solve 2*k**3/5 + 116*k**2/5 + 102*k/5 - 684/5 = 0 for k.
-57, -3, 2
What is j in 7*j**3/10 - 1923*j**2/10 - 55*j = 0?
-2/7, 0, 275
Factor j**3/7 - 47*j**2/7 + 566*j/7 - 520/7.
(j - 26)*(j - 20)*(j - 1)/7
Solve -5*y**4 - 100*y**3 - 95*y**2 = 0 for y.
-19, -1, 0
Let -2*j**4 + 14*j**2 + 12*j = 0. What is j?
-2, -1, 0, 3
Find a such that a**4/5 + 426*a**3/5 + 44941*a**2/5 - 91164*a/5 + 45796/5 = 0.
-214, 1
Factor -3*p**3 + 4827*p**2 - 9645*p + 4821.
-3*(p - 1607)*(p - 1)**2
Factor 2*r**2/7 - 234*r/7 - 68.
2*(r - 119)*(r + 2)/7
Factor -x**4/3 + x**3 + 3*x**2 - 9*x.
-x*(x - 3)**2*(x + 3)/3
Factor 4*w**3 - 36*w**2 + 32*w + 240.
4*(w - 6)*(w - 5)*(w + 2)
Factor y**2 - 531*y + 1058.
(y - 529)*(y - 2)
Find d, given that -4*d**3 - 182*d**2 + 104*d + 552 = 0.
-46, -3/2, 2
Let -3*f**4 + 153*f**3 + 168*f**2 - 612*f - 624 = 0. Calculate f.
-2, -1, 2, 52
Factor -5*a**4 + 115*a**3 - 620*a**2 + 960*a.
-5*a*(a - 16)*(a - 4)*(a - 3)
Factor -l**4 + 70*l**3 - 137*l**2 + 68*l.
-l*(l - 68)*(l - 1)**2
Suppose -q**4/2 + 507*q**3/2 - 32506*q**2 + 94248*q + 127008 = 0. Calculate q.
-1, 4, 252
Solve -5*p**3 + 35*p**2 - 75*p + 45 = 0 for p.
1, 3
Determine p so that -5*p**2 - 125*p - 120 = 0.
-24, -1
Factor 5*k**2/4 - 235*k/4 - 60.
5*(k - 48)*(k + 1)/4
Factor s**4 - s**3.
s**3*(s - 1)
Find r such that r**3/2 - r**2 - 24*r = 0.
-6, 0, 8
Suppose 5*c**3/4 - 155*c**2/4 + 50*c + 4500 = 0. Calculate c.
-9, 20
Factor -2*q**2 - 98*q - 276.
-2*(q + 3)*(q + 46)
Let -q**5 - 11*q**4 - 38*q**3 - 34*q**2 + 39*q + 45 = 0. Calculate q.
-5, -3, -1, 1
Factor -3*a**2 - 348*a - 10092.
-3*(a + 58)**2
Factor 2*k**3/17 + 112*k**2 + 455050*k/17 + 902500/17.
2*(k + 2)*(k + 475)**2/17
Let -660*p**5 + 6351*p**4 - 1779*p**3 - 3300*p**2 - 612*p = 0. Calculate p.
-2/5, -1/4, 0, 1, 102/11
Let 2*o**5/11 - 18*o**4/11 + 58*o**3/11 - 78*o**2/11 + 36*o/11 = 0. What is o?
0, 1, 2, 3
Factor t**3 + 203*t**2 - 410*t.
t*(t - 2)*(t + 205)
Determine z, given that 2*z**4 - 6*z**3 - 478*z**2 + 6*z + 476 = 0.
-14, -1, 1, 17
Factor z**4 + 34*z**3 - 147*z**2 + 188*z - 76.
(z - 2)*(z - 1)**2*(z + 38)
Factor -3*j**3/2 + 960*j**2 - 3831*j/2 + 957.
-3*(j - 638)*(j - 1)**2/2
Solve -6*g**4 - 10*g**3 + 26*g**2 + 2*g - 12 = 0 for g.
-3, -2/3, 1
Let -k**4/7 + 3*k**3/7 - 4*k/7 = 0. What is k?
-1, 0, 2
Suppose 25*w**3 + 735*w**2 - 460*w - 300 = 0. Calculate w.
-30, -2/5, 1
Solve -t**5/2 - 3*t**4 + 155*t**3/2 + 330*t**2 + 418*t + 168 = 0 for t.
-14, -2, -1, 12
Solve -2*c**2/7 - 250*c/7 + 36 = 0.
-126, 1
Factor -5*x**2/2 + 300*x + 605/2.
-5*(x - 121)*(x + 1)/2
Solve -k**5/2 - 173*k**4/2 - 7219*k**3/2 + 22705*k**2/2 - 11528*k + 3872 = 0 for k.
-88, 1
Factor 4*h**3/9 - 4*h**2 - 64*h/3 - 208/9.
4*(h - 13)*(h + 2)**2/9
Determine n, given that -n**5/5 - 8*n**4/5 - 3*n**3 + 8*n**2/5 + 16*n/5 = 0.
-4, -1, 0, 1
Factor u**2/2 - 4464*u + 9963648.
(u - 4464)**2/2
Factor -n**3/10 + 3*n**2/10 - 2/5.
-(n - 2)**2*(n + 1)/10
Solve -16*x**2 + 100*x - 156 = 0 for x.
3, 13/4
Solve z**5 + 5*z**4 - 218*z**3 - 676*z**2 - 8*z + 896 = 0.
-16, -2, 1, 14
Determine p, given that -p**5/2 + 19*p**4/8 - 33*p**3/8 + 25*p**2/8 - 7*p/8 = 0.
0, 1, 7/4
Factor -q**4/4 - 51*q**3/4 + 53*q**2/4 + 51*q/4 - 13.
-(q - 1)**2*(q + 1)*(q + 52)/4
Factor -w**5/5 + 2*w**4/5 + 3*w**3/5.
-w**3*(w - 3)*(w + 1)/5
Find l, given that -2*l**2/9 + 502*l/9 + 508/3 = 0.
-3, 254
Let -2*p**3/5 + 106*p**2/5 - 128*p - 22528/5 = 0. Calculate p.
-11, 32
Factor -2*x**3/5 - 82*x**2 - 408*x/5.
-2*x*(x + 1)*(x + 204)/5
Factor -4*n**3/3.
-4*n**3/3
Factor -h**5 + 38*h**4 - 204*h**3 + 392*h**2 - 256*h.
-h*(h - 32)*(h - 2)**3
Factor -169*y**4/4 + 897*y**3/2 - 5281*y**2/4 + 690*y - 100.
-(y - 5)**2*(13*y - 4)**2/4
Find j, given that 3*j**5 + 183*j**4 + 3591*j**3 + 19845*j**2 - 55566*j = 0.
-21, 0, 2
Factor 4*k**4 - 8*k**3 - 28*k**2 - 16*k.
4*k*(k - 4)*(k + 1)**2
Suppose 4*t**3 + 28*t**2 - 32*t = 0. Calculate t.
-8, 0, 1
Let 5*l**4 - 290*l**3 - 900*l**2 - 910*l - 305 = 0. Calculate l.
-1, 61
Factor 6*i**2 + 56*i + 88.
2*(i + 2)*(3*i + 22)
Determine w, given that 3*w**3/8 + 13329*w**2/8 + 19740249*w/8 + 9745102923/8 = 0.
-1481
Factor -4*m**4 + 140*m**3 - 268*m**2 + 132*m.
-4*m*(m - 33)*(m - 1)**2
Factor -11*a**2 + 425*a + 436.
-(a + 1)*(11*a - 436)
Factor -n**3/6 + 38*n**2/3 - 1189*n/6 - 1681.
-(n - 41)**2*(n + 6)/6
Let -y**5 + 3*y**4 + 4*y**3 - 12*y**2 = 0. Calculate y.
-2, 0, 2, 3
Factor 2*a**4/9 + 95*a**3/9 + 496*a**2/3 + 7424*a/9 - 4096/9.
(a + 16)**3*(2*a - 1)/9
Factor -2*x**3/7 - 278*x**2/7 + 8*x/7 + 1112/7.
-2*(x - 2)*(x + 2)*(x + 139)/7
Factor -6*f**3/5 - 2*f**2/5 + 16*f/5 - 8/5.
-2*(f - 1)*(f + 2)*(3*f - 2)/5
What is n in -n**3 - 477*n**2 + n + 477 = 0?
-477, -1, 1
Find f, given that f**3 + 159*f**2 + 2759*f - 2919 = 0.
-139, -21, 1
Suppose -o**4 - 61*o**3 + 257*o**2 - 195*o = 0. What is o?
-65, 0, 1, 3
Factor 2*i**4/7 - 10*i**3/7 - 94*i**2/7 + 30*i - 108/7.
2*(i - 9)*(i - 1)**2*(i + 6)/7
Determine w so that -42*w**4 - 530*w**3 + 216*w**2 + 104*w = 0.
-13, -2/7, 0, 2/3
Determine i so that -7*i**5 - 12*i**4 + 11*i**3 + 12*i**2 - 4*i = 0.
-2, -1, 0, 2/7, 1
Determine g so that 3*g**5 - 18*g**4 + 24*g**3 + 48*g**2 - 144*g + 96 = 0.
-2, 2
Let -2*g**2 + 162*g = 0. What is g?
0, 81
Factor 4*b**4 + 16*b**3 + 12*b**2.
4*b**2*(b + 1)*(b + 3)
Factor -5*r**4 - 13910*r**3 + 27835*r**2 - 13920*r.
-5*r*(r - 1)**2*(r + 2784)
Determine y, given that -y**4 - 870*y**3 - 190093*y**2 - 377580*y - 188356 = 0.
-434, -1
Factor -v**2/4 + 3*v/4 + 1.
-(v - 4)*(v + 1)/4
Factor -3*s**4 - 51*s**3 - 273*s**2 - 441*s.
-3*s*(s + 3)*(s + 7)**2
Factor -3*h**4/5 - 861*h**3/5 - 1713*h**2/5 - 171*h.
-3*h*(h + 1)**2*(h + 285)/5
Determine y, given that -3*y**5 - 3*y**4 + 9*y**3 + 3*y**2 - 6*y = 0.
-2, -1, 0, 1
Suppose -2*r**5/9 + 2*r**4/9 + 10*r**3/9 - 10*r**2/9 - 8*r/9 + 8/9 = 0. What is r?
-2, -1, 1, 2
Solve u**3/3 - 7*u**2/3 - 7*u + 9 = 0.
-3, 1, 9
Find v, given that v**3/9 - 14*v**2/9 - 31*v/9 - 16/9 = 0.
-1, 16
Let -g**3/8 + 187*g**2/4 + 1129*g/8 + 377/4 = 0. What is g?
-2, -1, 377
Factor -4*o**3 + 7124*o**2 - 3154076*o - 15948980.
-4*(o - 893)**2*(o + 5)
Find p, given that 2*p**3/13 + 112*p**2/13 + 218*p/13 + 108/13 = 0.
-54, -1
Factor -3*z**4/5 + 3*