 given that 5*n**2 - 20*n - 60 = 0.
-2, 6
Factor y**3/5 + 151*y**2/5 + 1155*y + 1125.
(y + 1)*(y + 75)**2/5
Solve 5*h**5/2 - 70*h**4 + 65*h**3 + 70*h**2 - 135*h/2 = 0.
-1, 0, 1, 27
Find b, given that -4*b**5 + 96*b**4 - 500*b**3 - 296*b**2 + 1728*b - 1024 = 0.
-2, 1, 8, 16
Suppose -2*v**5/3 + 4*v**4/3 + 18*v**3 - 8*v**2/3 - 152*v/3 - 32 = 0. Calculate v.
-4, -1, 2, 6
Factor -2*d**3/13 - 2*d**2/13.
-2*d**2*(d + 1)/13
Find r, given that 5*r**3 + 60*r**2 + 205*r + 150 = 0.
-6, -5, -1
Factor -2*l**2/7 + 2320*l/7 - 672800/7.
-2*(l - 580)**2/7
Factor -4*f**3 + 164*f**2 - 464*f + 304.
-4*(f - 38)*(f - 2)*(f - 1)
Factor -12*v**3 - 1059*v**2 - 255*v + 792.
-3*(v + 1)*(v + 88)*(4*v - 3)
Determine z so that -z**3/10 + 3*z**2/10 + 2*z/5 - 6/5 = 0.
-2, 2, 3
Factor 2*j**3/3 + 10*j**2 - 36*j.
2*j*(j - 3)*(j + 18)/3
Solve 3*o**4/8 + 9*o**3/4 - 9*o**2/8 - 6*o + 9/2 = 0 for o.
-6, -2, 1
What is b in 10*b**5 - 2525*b**4 - 3825*b**3 + 3800*b**2 + 2540*b = 0?
-2, -1/2, 0, 1, 254
Let 3*c**5 - 7*c**4 + 5*c**3 - c**2 = 0. Calculate c.
0, 1/3, 1
Solve -3*l**2/4 + 33*l/2 + 405/4 = 0.
-5, 27
Factor 4*g**4 - 52*g**3 - 328*g**2 - 560*g - 288.
4*(g - 18)*(g + 1)*(g + 2)**2
Find p, given that p**2 + 40*p + 400 = 0.
-20
Factor -r**2/2 + 14*r - 98.
-(r - 14)**2/2
Suppose -2*r**2/17 + 13904*r/17 - 24165152/17 = 0. What is r?
3476
Factor 32*n**3/5 - 368*n**2/5 + 1058*n/5.
2*n*(4*n - 23)**2/5
Factor 3*b**5 + 18*b**4 - 3*b**3 - 18*b**2.
3*b**2*(b - 1)*(b + 1)*(b + 6)
What is r in 2*r**4/21 - 1630*r**3/21 - 468*r**2 - 19688*r/21 - 13136/21 = 0?
-2, 821
Determine n so that 5*n**5/3 - 22*n**4/3 + 10*n**3 - 8*n**2/3 - 11*n/3 + 2 = 0.
-3/5, 1, 2
Let 3*l**4 + 162*l**3 + 1260*l**2 + 1950*l - 3375 = 0. What is l?
-45, -5, 1
Let -9*v**5 - 15*v**4 + 102*v**3 + 324*v**2 + 312*v + 96 = 0. What is v?
-2, -1, -2/3, 4
Let o**2/2 + 13*o + 24 = 0. What is o?
-24, -2
Determine d, given that -7*d**2/3 - 10*d/3 - 1 = 0.
-1, -3/7
Determine o so that -o**4 - 7*o**3 + 7*o**2 + 55*o + 42 = 0.
-7, -2, -1, 3
Suppose -d**2/2 - 171*d - 29241/2 = 0. Calculate d.
-171
Factor -5*u**2 + 3770*u - 710645.
-5*(u - 377)**2
Determine m, given that -5*m**3 + 75*m**2 + 590*m + 840 = 0.
-4, -2, 21
Factor -4*i**2 + 17*i - 4.
-(i - 4)*(4*i - 1)
Let 3*h**3/8 + 321*h**2/8 + 159*h/4 = 0. What is h?
-106, -1, 0
Factor 3*r**3 - 306*r**2 + 303*r.
3*r*(r - 101)*(r - 1)
Let -2*g**5/3 - 1594*g**4/3 - 316804*g**3/3 + 319996*g**2/3 + 105602*g - 106134 = 0. Calculate g.
-399, -1, 1
Factor 2*y**3 - 14*y**2 + 12*y.
2*y*(y - 6)*(y - 1)
Factor 3*l**2 - 51*l.
3*l*(l - 17)
Factor 2*b**5/9 - 50*b**4/9 + 112*b**3/3 - 32*b**2.
2*b**2*(b - 12)**2*(b - 1)/9
Factor 3*b**4 - 27*b**3 + 87*b**2 - 117*b + 54.
3*(b - 3)**2*(b - 2)*(b - 1)
Suppose b**5/3 - 2*b**4/3 - 4*b**3 - 14*b**2/3 - 5*b/3 = 0. What is b?
-1, 0, 5
Solve 2*p**5/5 - 12*p**4/5 - 4*p**3 + 104*p**2/5 + 42*p + 20 = 0.
-2, -1, 5
Find n such that -24*n**5 + 4*n**4 + 48*n**3 - 8*n**2 - 24*n + 4 = 0.
-1, 1/6, 1
Factor -2*a**3/9 + 112*a**2/3.
-2*a**2*(a - 168)/9
Factor -242*v**3/9 - 1232*v**2/9 - 376*v/3 - 32.
-2*(v + 4)*(11*v + 6)**2/9
Factor -2*y**3 - 24*y**2 - 18*y + 44.
-2*(y - 1)*(y + 2)*(y + 11)
Suppose -v**2/7 + 296*v/7 - 21904/7 = 0. Calculate v.
148
Factor -3*r**2 + 4*r - 1.
-(r - 1)*(3*r - 1)
Factor -3*i**4 - 174*i**3 - 171*i**2.
-3*i**2*(i + 1)*(i + 57)
Determine k so that k**3/8 + 339*k**2/8 - 681*k/8 + 341/8 = 0.
-341, 1
What is q in -4*q**4 - 444*q**3 - 856*q**2 + 1776*q + 3488 = 0?
-109, -2, 2
Factor 5*m**3 + 1305*m**2.
5*m**2*(m + 261)
Suppose 4*s**3/9 + 14*s**2/9 - 136*s/9 + 64/9 = 0. Calculate s.
-8, 1/2, 4
Factor 4*s**2 - 57960*s + 209960100.
4*(s - 7245)**2
What is a in 3*a**3 + 15*a**2 - 27*a - 135 = 0?
-5, -3, 3
What is o in 2*o**2 - 118*o - 1072 = 0?
-8, 67
Factor -3*v**4 + 42*v**3 + 96*v**2.
-3*v**2*(v - 16)*(v + 2)
Solve -3*d**2 - 120*d = 0 for d.
-40, 0
Solve -u**3/7 + 2*u**2/7 + 5*u/7 - 6/7 = 0.
-2, 1, 3
Factor 3*t**5 - 6*t**4 - 27*t**3 + 54*t**2.
3*t**2*(t - 3)*(t - 2)*(t + 3)
Let -2*f**4/17 - 44*f**3/17 - 242*f**2/17 = 0. Calculate f.
-11, 0
Let 5*w**4/2 - 205*w**3/4 + 45*w**2/2 + 205*w/4 - 25 = 0. Calculate w.
-1, 1/2, 1, 20
Factor -j**3 - 3*j**2 + 286*j + 288.
-(j - 16)*(j + 1)*(j + 18)
Factor 3*a**4 + 93*a**3 + 339*a**2 + 411*a + 162.
3*(a + 1)**2*(a + 2)*(a + 27)
Suppose 3*l**4/7 - 27*l**3/7 + 75*l**2/7 - 81*l/7 + 30/7 = 0. Calculate l.
1, 2, 5
Factor -2*v**2 + 178*v.
-2*v*(v - 89)
Solve -8*w**5/3 - 2*w**4 + 22*w**3 + 80*w**2/3 - 8*w = 0.
-2, 0, 1/4, 3
Solve 42*m**3/13 - 8*m**2/13 - 120*m/13 - 64/13 = 0 for m.
-8/7, -2/3, 2
Factor 2*i**2 + 228*i.
2*i*(i + 114)
Let n**4/2 - 60*n**3 - 123*n**2/2 + 121*n = 0. Calculate n.
-2, 0, 1, 121
Factor 3*n**4/8 + 45*n**3/8 + 183*n**2/8 + 63*n/8 - 147/4.
3*(n - 1)*(n + 2)*(n + 7)**2/8
Find g such that -2*g**2/7 - 36*g/7 - 34/7 = 0.
-17, -1
Factor -2*v**4 - 4*v**3 + 106*v**2 - 180*v.
-2*v*(v - 5)*(v - 2)*(v + 9)
Factor -2*h**3 + 4*h**2 + 10*h - 12.
-2*(h - 3)*(h - 1)*(h + 2)
Suppose i**5/6 + 7*i**4/3 + 6*i**3 + 17*i**2/3 + 11*i/6 = 0. What is i?
-11, -1, 0
Factor 34*j**3 - 98*j**2 - 12*j.
2*j*(j - 3)*(17*j + 2)
Find j such that -j**4/4 + j**3/2 + j**2/4 - j/2 = 0.
-1, 0, 1, 2
Find o, given that 3*o**4 + 612*o**3 - 21*o**2 - 4266*o + 3672 = 0.
-204, -3, 1, 2
Solve -b**4/12 + 4*b**3 - 23*b**2/2 + 34*b/3 - 15/4 = 0.
1, 45
Let -s**5 - 13*s**4 - 20*s**3 + 100*s**2 = 0. What is s?
-10, -5, 0, 2
Factor 2*j**3/13 - 54*j**2/13 - 914*j/13 - 66.
2*(j - 39)*(j + 1)*(j + 11)/13
Suppose -2*k**4 - 8*k**3 - 6*k**2 + 8*k + 8 = 0. Calculate k.
-2, -1, 1
Factor -2*c**2 - 10*c + 12.
-2*(c - 1)*(c + 6)
Factor a**5 - 3*a**4 - a**3 + 11*a**2 - 12*a + 4.
(a - 2)*(a - 1)**3*(a + 2)
Factor -16*r**3/7 - 636*r**2/7 - 6240*r/7 + 1600/7.
-4*(r + 20)**2*(4*r - 1)/7
Solve b**5 - 24*b**4 + 116*b**3 - 144*b**2 = 0 for b.
0, 2, 4, 18
Suppose 2*t**5/5 - 62*t**4/5 + 54*t**3/5 + 182*t**2/5 - 56*t/5 - 24 = 0. Calculate t.
-1, 1, 2, 30
Factor -c**3/3 + 146*c**2 - 16132*c + 95048/3.
-(c - 218)**2*(c - 2)/3
Factor -2*z**5 - 24*z**4 + 152*z**3 - 292*z**2 + 234*z - 68.
-2*(z - 2)*(z - 1)**3*(z + 17)
Let 3*g**4/4 - 717*g**3/4 - 5121*g**2/4 - 11043*g/4 - 3321/2 = 0. Calculate g.
-3, -1, 246
Determine l, given that -5*l**2 - 65*l - 60 = 0.
-12, -1
Factor -5*r**3 + 2795*r**2 - 5575*r + 2785.
-5*(r - 557)*(r - 1)**2
Let -k**4/3 + 1052*k**3/3 - 280852*k**2/3 + 732192*k - 1453248 = 0. What is k?
4, 522
Suppose -14*j**5/13 - 7006*j**4/13 - 884972*j**3/13 - 2120988*j**2/13 - 1615014*j/13 - 372006/13 = 0. Calculate j.
-249, -1, -3/7
Find d such that 2*d**2/5 + 2*d - 12/5 = 0.
-6, 1
Factor -2*q**2 + 4424*q - 2446472.
-2*(q - 1106)**2
Factor -4*p**4 - 10268*p**3/9 - 325660*p**2/3 - 10360700*p/3 - 6859000/9.
-4*(p + 95)**3*(9*p + 2)/9
Factor 3*v**2/7 + 33*v/7 - 180/7.
3*(v - 4)*(v + 15)/7
Factor -d**3/7 - 24*d**2/7 - 143*d/7 - 120/7.
-(d + 1)*(d + 8)*(d + 15)/7
Suppose -q**5/3 + 19*q**4 - 655*q**3/3 - 1519*q**2 - 3844*q/3 = 0. Calculate q.
-4, -1, 0, 31
Find g, given that -4*g**5 - 43*g**4 + 63*g**3 + 31*g**2 - 59*g + 12 = 0.
-12, -1, 1/4, 1
Solve u**2/4 - 225*u/2 = 0 for u.
0, 450
Factor -5*n**3 - 100*n**2 + 5*n + 100.
-5*(n - 1)*(n + 1)*(n + 20)
Factor 4*n**3 - 88*n**2 + 304*n - 288.
4*(n - 18)*(n - 2)**2
Determine x so that 4*x**3/5 + 564*x**2/5 + 26508*x/5 + 415292/5 = 0.
-47
Determine u, given that -7*u**5 - 5*u**4 + 16*u**3 - 4*u**2 = 0.
-2, 0, 2/7, 1
Suppose x**4/2 + 40*x**3 + 1599*x**2/2 - 40*x - 800 = 0. Calculate x.
-40, -1, 1
Factor 2*d**5 - 44*d**4 + 338*d**3 - 1056*d**2 + 1152*d.
2*d*(d - 8)**2*(d - 3)**2
Factor -4*v**4 + 12*v**3 + 36*v**2 + 20*v.
-4*v*(v - 5)*(v + 1)**2
Factor -3*g**2 + 9*g + 12.
-3*(g - 4)*(g + 1)
Let -5*v**4/2 + 25*v**2 - 45/2 = 0. Calculate v.
-3, -1, 1, 3
Factor 5*o**5 + 30*o**4 + 25*o**3 - 60*o**2.
5*o**2*(o - 1)*(o + 3)*(o + 4)
Factor -4*f**3/5 + 32*f**2/5 - 44*f/5 - 16.
-4*(f - 5)*(f - 4)*(f + 1)/5
Determine m so that -15*m**4 + 141*m**3 - 324*m**2 + 108*m = 0.
0, 2/5, 3, 6
Suppose -10*i**3 + 362*i**2 - 422*i + 70 = 0. Calculate i.
1/5, 1, 35
Solve -2*q**4/9 + 208*q**3/9 - 768*q**2 + 6912*q + 41472 = 0 for q.
-4, 36
Let -16*a**2 + 60*a + 16 = 0. What is a?
-1/4, 4
Let -500*k**2/3 - 100*k - 15 = 0. What is k?
-3/10
What is n in 10*n**3/13 + 24*n**2/13 + 18*n/13 + 4/13 = 0?
-1, -2/5
Solve -2*b**3/7 + 24*b**2/7 + 120*b/7 + 128/7 = 0.
-2, 1