
Factor -a**3/5 + 8*a**2/5 + 19*a/5 + 2.
-(a - 10)*(a + 1)**2/5
Let -2*p**2/11 - 36*p/11 + 80/11 = 0. Calculate p.
-20, 2
Determine l so that -5*l**5/2 + 65*l**4/2 + 205*l**3 + 350*l**2 + 180*l = 0.
-2, -1, 0, 18
Find a such that -20*a**2 + 64*a - 48 = 0.
6/5, 2
Determine h so that 4*h**5 - 404*h**4 + 396*h**3 + 404*h**2 - 400*h = 0.
-1, 0, 1, 100
Factor 8*m**2/7 - 61*m/7 - 24/7.
(m - 8)*(8*m + 3)/7
What is y in y**2/2 + 7*y/2 = 0?
-7, 0
Factor -2*p**2/25 + 8*p/25.
-2*p*(p - 4)/25
Determine h so that -2*h**3/11 - 52*h**2/11 - 98*h/11 - 48/11 = 0.
-24, -1
Solve 1018*h**3/7 - 1014*h**2/7 - 2040*h/7 - 8/7 = 0 for h.
-1, -2/509, 2
Determine v, given that 2*v**3/13 + 22*v**2/13 + 4*v + 32/13 = 0.
-8, -2, -1
Factor 2*k**3 - 56*k + 96.
2*(k - 4)*(k - 2)*(k + 6)
Factor 14*x**2/13 - 24*x/13 - 8/13.
2*(x - 2)*(7*x + 2)/13
Find j such that 3*j**5/4 - 73*j**4/4 + 111*j**3/2 - 129*j**2/2 + 127*j/4 - 21/4 = 0.
1/3, 1, 21
Factor o**4/2 + 4*o**3 + 15*o**2/2 - 2*o - 10.
(o - 1)*(o + 2)**2*(o + 5)/2
Solve -192*r**5/5 + 432*r**4 - 8211*r**3/5 + 11169*r**2/5 - 2424*r/5 + 144/5 = 0.
1/8, 3, 4
Factor -3*c**5/4 - 3*c**4 - 9*c**3/4.
-3*c**3*(c + 1)*(c + 3)/4
Let -f**2 + 227*f + 228 = 0. What is f?
-1, 228
Factor -2*i**3/9 + 2*i**2/9 + 164*i/9 + 160/9.
-2*(i - 10)*(i + 1)*(i + 8)/9
Find b such that 5*b**2 + 135*b - 290 = 0.
-29, 2
Factor -n**5/2 - n**4/2 + 5*n**3/2 + n**2/2 - 4*n + 2.
-(n - 1)**3*(n + 2)**2/2
Suppose -4*y**4/5 + 31*y**3/5 - 72*y**2/5 + 44*y/5 + 16/5 = 0. Calculate y.
-1/4, 2, 4
Find u, given that -3*u**4/4 + 93*u**3/4 + 99*u**2/2 = 0.
-2, 0, 33
Let 10*t**4 - 34*t**3 - 48*t**2 + 104*t - 32 = 0. What is t?
-2, 2/5, 1, 4
Factor 3*p**3/4 + 111*p**2/4 + 585*p/4 + 837/4.
3*(p + 3)**2*(p + 31)/4
Factor -4*u**3 - 12*u**2 + 52*u + 60.
-4*(u - 3)*(u + 1)*(u + 5)
Factor w**2/5 + 111*w/5 - 112/5.
(w - 1)*(w + 112)/5
Let h**4/3 + 29*h**3/3 + 289*h**2/3 + 357*h + 270 = 0. Calculate h.
-10, -9, -1
Factor -2*z**2/5 - 2*z/5 + 4/5.
-2*(z - 1)*(z + 2)/5
Factor l**3 + 764*l**2 + 763*l.
l*(l + 1)*(l + 763)
Determine q so that -2*q**2/5 + 282*q + 1412/5 = 0.
-1, 706
Factor 15*g**4 - 40*g**3 - 25*g**2 + 30*g.
5*g*(g - 3)*(g + 1)*(3*g - 2)
Let -4*c**4 + 20*c**3 + 112*c**2 - 128*c = 0. Calculate c.
-4, 0, 1, 8
Determine z, given that -3*z**4 - 6012*z**3 - 12015*z**2 - 6006*z = 0.
-2002, -1, 0
Factor 2*k**2/9 + 4096*k/9 + 2097152/9.
2*(k + 1024)**2/9
Suppose -a**2/6 + 923*a/6 = 0. What is a?
0, 923
Factor 3*s**2 - 1134*s + 107163.
3*(s - 189)**2
Determine v so that 5*v**5 - 85*v**4 - 15*v**3 + 265*v**2 - 170*v = 0.
-2, 0, 1, 17
Factor -2*k**3 - 244*k**2/3 - 2560*k/3 - 1600/3.
-2*(k + 20)**2*(3*k + 2)/3
Determine n, given that -14*n**4/3 - 430*n**3/3 - 268*n**2/3 + 952*n/3 - 80 = 0.
-30, -2, 2/7, 1
Solve -3*j**2/2 - 93*j - 2883/2 = 0 for j.
-31
Find m such that 2*m**2/3 + 4*m/3 - 2 = 0.
-3, 1
Let s**4 - 4*s**3 - 11*s**2 - 6*s = 0. What is s?
-1, 0, 6
Let -2*b**5/15 - 20*b**4 + 2*b**3/5 + 896*b**2/15 - 40*b = 0. What is b?
-150, -2, 0, 1
Factor a**5/3 + a**4/3 - 5*a**3/3 + a**2.
a**2*(a - 1)**2*(a + 3)/3
Determine q, given that -2*q**2 + 228*q = 0.
0, 114
Factor v**5 - 10*v**4 + 32*v**3 - 32*v**2.
v**2*(v - 4)**2*(v - 2)
Solve 2*f**4 + 26*f**3 - 6*f**2 - 82*f - 52 = 0 for f.
-13, -1, 2
Factor d**2/4 + 167*d + 27889.
(d + 334)**2/4
Let -k**5 - 2*k**4 + k**3 + 2*k**2 = 0. What is k?
-2, -1, 0, 1
Let -k**3/8 - 19*k**2/4 + 121*k/8 - 41/4 = 0. What is k?
-41, 1, 2
Find h such that -h**4/6 - 139*h**3/6 + 143*h**2 - 866*h/3 + 580/3 = 0.
-145, 2
Factor n**3/2 + n**2 - n/2 - 1.
(n - 1)*(n + 1)*(n + 2)/2
Factor 4*d**3 + 880*d**2 + 4300*d.
4*d*(d + 5)*(d + 215)
Factor q**4/6 + 139*q**3/3 + 3126*q**2 - 13113*q + 19881/2.
(q - 3)*(q - 1)*(q + 141)**2/6
Let -2*y**3/9 - 2050*y**2/9 - 526336*y/9 - 524288/9 = 0. What is y?
-512, -1
Let 3*z**3/2 + 3*z**2 - 57*z/2 - 30 = 0. What is z?
-5, -1, 4
Factor -n**4 - 40*n**3 + 87*n**2 + 126*n.
-n*(n - 3)*(n + 1)*(n + 42)
Let -3*z**4 + 12*z**2 = 0. Calculate z.
-2, 0, 2
What is q in -3*q**3/5 + 78*q**2/5 + 348*q/5 + 72 = 0?
-2, 30
Factor i**3/6 - 21*i**2/2 - 583*i/2 - 10285/6.
(i - 85)*(i + 11)**2/6
Factor 3*b**4 + 63*b**3 + 360*b**2 + 300*b.
3*b*(b + 1)*(b + 10)**2
Factor -54*f**5/5 + 1293*f**4/5 - 11592*f**3/5 + 46008*f**2/5 - 67392*f/5 - 3888/5.
-3*(f - 6)**4*(18*f + 1)/5
Solve -2*z**4 - 12*z**3 + 2*z**2 + 12*z = 0 for z.
-6, -1, 0, 1
Determine p so that -729*p**3 + 972*p**2 - 432*p + 64 = 0.
4/9
Factor 3*v**2/7 - 101*v/7 + 248/7.
(v - 31)*(3*v - 8)/7
Solve o**2/3 + 11*o/3 - 26/3 = 0 for o.
-13, 2
Let 3*s**2/5 - 918*s/5 + 70227/5 = 0. What is s?
153
Solve 3*y**3/4 + 9*y**2/4 - 33*y/2 - 18 = 0.
-6, -1, 4
Factor -h**3 + 858*h**2 - 184041*h.
-h*(h - 429)**2
Solve 5*t**4/2 + 55*t**3/4 + 65*t**2/4 + 5*t = 0 for t.
-4, -1, -1/2, 0
Suppose 2*n**5/7 + 32*n**4/7 + 46*n**3/7 - 680*n**2/7 + 600*n/7 = 0. What is n?
-10, 0, 1, 3
Solve -g**5 + 3*g**4 - 4*g**2 = 0 for g.
-1, 0, 2
Factor -2*p**4 - 34*p**3 + 36*p**2.
-2*p**2*(p - 1)*(p + 18)
Factor -5*i**2 + 8670*i - 3758445.
-5*(i - 867)**2
Let t**3/6 - t**2/6 - t/6 + 1/6 = 0. What is t?
-1, 1
Factor -2*u**2/7 + 352*u/7 - 1710/7.
-2*(u - 171)*(u - 5)/7
Suppose 4*b**3/9 - 488*b**2/9 + 1540*b + 7056 = 0. What is b?
-4, 63
Factor 108*y**3 - 1520*y**2 + 112*y.
4*y*(y - 14)*(27*y - 2)
Find v, given that -98*v**4/5 + 56*v**3/5 + 384*v**2/5 - 224*v/5 + 32/5 = 0.
-2, 2/7, 2
Find o such that -3*o**3 + 78*o**2 - 507*o + 432 = 0.
1, 9, 16
Let -2*r**5 - 32*r**4 + 8*r**3 + 128*r**2 = 0. What is r?
-16, -2, 0, 2
Let 36*x**5 - 117*x**4 + 111*x**3 - 139*x**2/3 + 9*x - 2/3 = 0. Calculate x.
1/4, 1/3, 2
Solve -3*z**2 + 66*z - 351 = 0 for z.
9, 13
Let -2*r**4 - 94*r**3 + 954*r**2 - 2970*r + 3024 = 0. Calculate r.
-56, 3
Let -2*v**3/3 + 20*v**2/3 - 58*v/3 + 40/3 = 0. Calculate v.
1, 4, 5
What is h in -3*h**5 + 21*h**4 - 27*h**3 - 69*h**2 + 150*h - 72 = 0?
-2, 1, 3, 4
Solve 3*u**2/4 + 231*u/4 = 0.
-77, 0
Suppose g**5 - 11*g**4 + 31*g**3 + 19*g**2 - 140*g + 100 = 0. What is g?
-2, 1, 2, 5
Determine j, given that -105*j**4/4 + 7032*j**3 - 24807*j**2/4 - 1605*j + 801 = 0.
-2/5, 2/7, 1, 267
Factor 2*u**3/9 - 326*u**2/9 - 328*u/9.
2*u*(u - 164)*(u + 1)/9
Factor 3*x**2/8 - 3*x.
3*x*(x - 8)/8
Determine k so that -4*k**5 + 32*k**4 + 460*k**3 + 808*k**2 + 384*k = 0.
-6, -1, 0, 16
Suppose 4*w**4 + 316*w**3 - 2348*w**2 + 5124*w - 3096 = 0. Calculate w.
-86, 1, 3
Determine s so that 2*s**4/13 - 8*s**3/13 - 4*s**2/13 + 24*s/13 + 18/13 = 0.
-1, 3
Suppose -3*q**5 + 558*q**4 + 1131*q**3 - 558*q**2 - 1128*q = 0. Calculate q.
-2, -1, 0, 1, 188
Determine c, given that 3*c**4/8 + 9*c**3/4 - 45*c**2/8 + 3*c = 0.
-8, 0, 1
Factor 5*t**3 + 45*t**2 - 60*t - 100.
5*(t - 2)*(t + 1)*(t + 10)
Factor 2*s**2/5 + 696*s/5 + 694/5.
2*(s + 1)*(s + 347)/5
What is n in -n**2 + 89*n = 0?
0, 89
Determine n, given that 3*n**2/2 + 6786*n + 7674966 = 0.
-2262
Factor -2*z**4 - 122*z**3 - 1920*z**2 - 1800*z.
-2*z*(z + 1)*(z + 30)**2
Factor -3*s**2/5 - 3264*s/5 - 1953.
-3*(s + 3)*(s + 1085)/5
Let 3*h**2 - 1731*h - 1734 = 0. What is h?
-1, 578
Factor -2*o**2/7 - 2494*o/7 - 4980/7.
-2*(o + 2)*(o + 1245)/7
Let 3*c**3 - 75*c**2 + 138*c = 0. What is c?
0, 2, 23
Let 2*z**4 + 38*z**3 + 130*z**2 + 154*z + 60 = 0. What is z?
-15, -2, -1
Factor 2*f**2/13 + 94*f/13 + 180/13.
2*(f + 2)*(f + 45)/13
Factor -i**4 + i**3 + 13*i**2 - 25*i + 12.
-(i - 3)*(i - 1)**2*(i + 4)
Determine o so that 9*o**3/7 - 75*o**2/7 - 177*o/7 - 93/7 = 0.
-1, 31/3
Factor -o**4 - 34*o**3 - 253*o**2 + 612*o - 324.
-(o - 1)**2*(o + 18)**2
Solve 4*h**3 + 108*h**2 + 272*h - 384 = 0.
-24, -4, 1
Determine q so that 2*q**4 + 152*q**3 + 2888*q**2 = 0.
-38, 0
What is z in 324*z**5 + 8424*z**4 - 37600*z**3 + 38464*z**2 + 1856*z - 1920 = 0?
-30, -2/9, 2/9, 2
Let -4*a**5 - 12*a**4 + 1192*a**3 - 6792*a**2 - 1188*a + 6804 = 0. What is a?
-21, -1, 1, 9
Factor -b**2/3 + 11*b - 32/3.
-(b - 32)*(b - 1)/3
Suppose -m**4 - 56*m**3 - 719*m**2 + 56*m + 720 = 0. What is m?
-36, -20, -1, 1
Determine z, given that -2*z**5/19 - 16*z**4/19 - 32*z**3/19 - 4*z**2/19 + 34*z/19 + 20/19 = 0.
-5, -2, -1, 1
Factor -n**4 - 8*n**3 + 33*n**2.
-n**2*(n - 3)*(n + 11)
Solve w**2/4 + 3*w/4 - 9/2 = 0 for w.
-6, 3
Factor -k**4/9 - 5*k**3/9 + 22*k**2/9 - 16*k/9.
-k*(k - 2)*(k - 1)*(k + 8)/9
What is v in -4*v**5/5 - 13*v**4/5 + 16*v**3/5 + 13*v**2/5 - 12*v/5 = 0?