820.
-5*(n - 1164)*(2*n - 1)
Factor 5*s**3/3 + 17*s**2/3 - 20*s/3 - 32/3.
(s + 1)*(s + 4)*(5*s - 8)/3
Solve 4*a**2/3 - 108*a = 0.
0, 81
Determine q, given that 3*q**4/5 - 72*q**3/5 + 69*q**2/5 = 0.
0, 1, 23
Solve -3*x**4 - 129*x**3 - 1143*x**2 + 6141*x + 15870 = 0.
-23, -2, 5
Determine r so that 2*r**2 + 26868*r + 90236178 = 0.
-6717
Factor z**2/3 - 34*z/3 - 184.
(z - 46)*(z + 12)/3
Solve -u**4 - 83*u**3 - 1683*u**2 + 16335*u + 574992 = 0 for u.
-33, 16
Factor 4*s**3 + 92*s**2.
4*s**2*(s + 23)
Factor -3*f**3/5 - 6*f**2/5 + 12*f/5 + 24/5.
-3*(f - 2)*(f + 2)**2/5
Find j, given that -3*j**2/4 + 93*j/4 - 297/2 = 0.
9, 22
Factor -5*r**4 + 80*r**3 - 65*r**2 - 150*r.
-5*r*(r - 15)*(r - 2)*(r + 1)
Determine k so that 2*k**2/5 + 14*k + 60 = 0.
-30, -5
Factor -3*t**3/4 + 3816*t**2 - 6471936*t + 3658801152.
-3*(t - 1696)**3/4
Suppose -q**3/4 - 9*q**2/2 - 47*q/4 - 15/2 = 0. Calculate q.
-15, -2, -1
Factor 4*i**3 - 8*i**2 - 52*i - 40.
4*(i - 5)*(i + 1)*(i + 2)
Solve -3*t**4/2 - 51*t**3 - 48*t**2 + 51*t + 99/2 = 0 for t.
-33, -1, 1
Factor -g**2/5 - 13*g/5 - 12/5.
-(g + 1)*(g + 12)/5
Find g such that 3*g**2 - 141*g - 294 = 0.
-2, 49
Factor m**2/4 + 3578*m + 12802084.
(m + 7156)**2/4
Factor 2*o**5/5 - 12*o**4/5 - 8*o**3/5 + 68*o**2/5 + 102*o/5 + 8.
2*(o - 5)*(o - 4)*(o + 1)**3/5
Factor 2*z**2/11 + 370*z/11 - 372/11.
2*(z - 1)*(z + 186)/11
Find v, given that 2*v**4 + 16*v**3 - 6*v**2 - 44*v + 32 = 0.
-8, -2, 1
Find p, given that -3*p**2 - 46488*p - 180094512 = 0.
-7748
Solve 10*p**2/3 - 106*p/3 - 44/3 = 0.
-2/5, 11
Solve -2*q**3/7 + 3810*q**2/7 - 2419350*q/7 + 512095750/7 = 0.
635
Factor 3*y**5 - 24*y**4 - 27*y**3 + 216*y**2.
3*y**2*(y - 8)*(y - 3)*(y + 3)
Solve -5*g**2 - 5*g + 9900 = 0.
-45, 44
Let -4*h**2 + 12*h + 16 = 0. Calculate h.
-1, 4
Determine d, given that d**2 - 14*d = 0.
0, 14
Factor -5*f**4 - 325*f**3 + 685*f**2 + 1005*f.
-5*f*(f - 3)*(f + 1)*(f + 67)
Factor -2*q**2/13 - 96*q/13 - 94/13.
-2*(q + 1)*(q + 47)/13
Find x such that 2*x**3/7 - 176*x**2/7 + 510*x/7 = 0.
0, 3, 85
Determine l, given that -15*l**3 - 85*l**2 - 90*l + 40 = 0.
-4, -2, 1/3
What is k in 2*k**3/3 + 34*k**2/3 + 128*k/3 + 32 = 0?
-12, -4, -1
Factor 3*t**3/2 + 51*t**2/2 + 120*t + 150.
3*(t + 2)*(t + 5)*(t + 10)/2
Determine m so that -144*m**5/7 + 240*m**4 - 4612*m**3/7 - 240*m**2 - 144*m/7 = 0.
-1/6, 0, 6
Find s such that -2*s**2 + 226*s = 0.
0, 113
Find r, given that -3*r**3 - 27*r**2 + 63*r - 33 = 0.
-11, 1
Determine s, given that -4*s**4/5 - 16*s**3 - 568*s**2/5 - 336*s - 1764/5 = 0.
-7, -3
Factor 2*v**2/11 - 230*v/11 - 232/11.
2*(v - 116)*(v + 1)/11
Factor 3*s**3 - 54*s**2 + 180*s + 600.
3*(s - 10)**2*(s + 2)
Factor 2*p**3 + 16*p**2 - 66*p.
2*p*(p - 3)*(p + 11)
Find r such that 3*r**5 - 3*r**4 - 84*r**3 - 96*r**2 + 288*r + 432 = 0.
-3, -2, 2, 6
Solve m**5/5 + 8*m**4/5 + 11*m**3/5 - 8*m**2/5 - 12*m/5 = 0.
-6, -2, -1, 0, 1
What is x in -13*x**2/6 - x/6 = 0?
-1/13, 0
Let -x**5 + x**4 + 3*x**3 - x**2 - 2*x = 0. What is x?
-1, 0, 1, 2
Factor 3*v**3 + 372*v**2 - 3*v - 372.
3*(v - 1)*(v + 1)*(v + 124)
Find s such that 3*s**2/7 + 6*s/7 - 24/7 = 0.
-4, 2
Find k, given that -25*k**5 + 160*k**4/3 - 20*k**3/3 - 50*k**2 + 95*k/3 - 10/3 = 0.
-1, 2/15, 1
Find j such that -6*j**3 + 154*j**2 - 962*j - 338 = 0.
-1/3, 13
Suppose 12*x**5/5 - 304*x**4/5 - 116*x**3 + 200*x**2 + 2128*x/5 + 864/5 = 0. What is x?
-2, -1, -2/3, 2, 27
Find d such that -5*d**5 + 230*d**4 + 1495*d**3 + 3320*d**2 + 3100*d + 1040 = 0.
-2, -1, 52
Factor b**2/6 - 130*b/3 + 8450/3.
(b - 130)**2/6
Factor 2*k**4/9 + 2*k**3/9 - 4*k**2/3.
2*k**2*(k - 2)*(k + 3)/9
Solve 2*o**3/7 - 4*o**2/7 - 10*o/7 + 12/7 = 0 for o.
-2, 1, 3
Let -r**5/2 + 6*r**4 + r**3 - 12*r**2 - r/2 + 6 = 0. What is r?
-1, 1, 12
Suppose r**5/4 - 5*r**4/4 + 2*r**3 - r**2 = 0. What is r?
0, 1, 2
Solve -2*c**3/3 - 2*c**2/3 + 4*c = 0.
-3, 0, 2
Find v, given that v**3/6 + 17*v**2/6 - v/6 - 17/6 = 0.
-17, -1, 1
Factor -4*c**2/9 + 32*c/9.
-4*c*(c - 8)/9
Let -27*g**2/2 - 83*g/2 - 3 = 0. What is g?
-3, -2/27
Determine t, given that 2*t**3/21 + 4*t**2/21 - 10*t/21 - 4/7 = 0.
-3, -1, 2
Factor -2*k**3 + 8*k**2 + 24*k.
-2*k*(k - 6)*(k + 2)
Find h, given that h**3 + 298*h**2 + 593*h + 296 = 0.
-296, -1
Let 3*u**4 + 102*u**3 - 105*u**2 = 0. Calculate u.
-35, 0, 1
Factor -3*z**4/2 + 42*z**3 - 117*z**2 + 114*z - 75/2.
-3*(z - 25)*(z - 1)**3/2
Factor -4*o**2 - 44*o - 72.
-4*(o + 2)*(o + 9)
Factor 3*h**3 - 6*h**2 - 3*h + 6.
3*(h - 2)*(h - 1)*(h + 1)
Factor -6*y**2 - 22*y + 120.
-2*(y - 3)*(3*y + 20)
Factor -2*k**2/15 + 40*k/3 - 66/5.
-2*(k - 99)*(k - 1)/15
Suppose 3*g**4/4 - 297*g**3/4 + 2247*g**2/4 - 5787*g/4 + 2457/2 = 0. What is g?
2, 3, 91
Determine h, given that -10*h**3 + 25*h**2 + 1315*h + 650 = 0.
-10, -1/2, 13
Suppose 2*h**4 - 34*h**3 - 36*h**2 = 0. Calculate h.
-1, 0, 18
Factor p**2/2 - 90*p + 4050.
(p - 90)**2/2
Factor w**2 + 41*w + 40.
(w + 1)*(w + 40)
Solve c**4 + 23*c**3/4 + 43*c**2/4 + 33*c/4 + 9/4 = 0 for c.
-3, -1, -3/4
Factor 2*w**3/9 - 56*w**2/9 + 130*w/9 + 500/9.
2*(w - 25)*(w - 5)*(w + 2)/9
Factor 3*p**3/5 + 16*p**2/5 + 23*p/5 + 6/5.
(p + 2)*(p + 3)*(3*p + 1)/5
Find c such that 3*c**4 + 39*c**3 - 9*c**2 - 111*c + 78 = 0.
-13, -2, 1
Let -3*y**2 - 36*y + 84 = 0. Calculate y.
-14, 2
Find p such that 4*p**5/3 + 260*p**4/3 - 1412*p**3/3 - 772*p**2/3 + 4720*p/3 - 2800/3 = 0.
-70, -2, 1, 5
Factor 4*o**4 - 6112*o**3 + 2328648*o**2 + 4700160*o - 7022700.
4*(o - 765)**2*(o - 1)*(o + 3)
Factor -4*h**3/7 - 744*h**2/7 - 33840*h/7 + 70688/7.
-4*(h - 2)*(h + 94)**2/7
Suppose 3*r**2 + 2064*r + 4116 = 0. Calculate r.
-686, -2
Factor 15*s**3 - 155*s**2 - 730*s - 560.
5*(s - 14)*(s + 1)*(3*s + 8)
What is f in f**2 + 250*f + 15625 = 0?
-125
Factor 5*l**5 + 5*l**4.
5*l**4*(l + 1)
Factor -2*u**4 - 12*u**3 - 24*u**2 - 16*u.
-2*u*(u + 2)**3
Factor 2*j**3/3 - 43*j**2/6 - 115*j/6 - 13/3.
(j - 13)*(j + 2)*(4*j + 1)/6
Factor u**2 + 73*u + 142.
(u + 2)*(u + 71)
Suppose -10*z**3/7 + 261*z**2/7 + 241*z/7 + 54/7 = 0. What is z?
-1/2, -2/5, 27
Determine y, given that -6*y**3 - 163*y**2 + 933*y + 160 = 0.
-32, -1/6, 5
Solve -n**4 + 5*n**3 - 20*n + 16 = 0 for n.
-2, 1, 2, 4
Solve i**3 - 235*i**2 + 928*i - 924 = 0 for i.
2, 231
Factor -q**2 - 84*q.
-q*(q + 84)
Let -3*l**4/2 - 9*l**3/4 + 3*l**2/2 = 0. What is l?
-2, 0, 1/2
Factor k**3/3 + 1381*k**2/3 + 159160*k + 158700.
(k + 1)*(k + 690)**2/3
Determine y so that 5*y**2 - 455*y + 3690 = 0.
9, 82
Let 2*b**3 + 6*b**2 - 144*b + 352 = 0. What is b?
-11, 4
Suppose -41*i**3/2 - 19*i**2 + 3*i/2 = 0. What is i?
-1, 0, 3/41
Solve -75*m**5 + 22395*m**4 - 1705098*m**3 + 4981674*m**2 - 4937259*m + 1638363 = 0.
1, 739/5
Suppose 2*u**3 + 52*u**2 + 306*u = 0. Calculate u.
-17, -9, 0
Factor 2*z**3 - 50*z.
2*z*(z - 5)*(z + 5)
Factor -4*q**3/3 + 112*q**2 - 3136*q + 87808/3.
-4*(q - 28)**3/3
Solve 5*t**2 + 50*t = 0.
-10, 0
Determine h, given that -h**3/3 - 893*h**2/3 - 199808*h/3 - 198916/3 = 0.
-446, -1
Factor 4*i**3 + 46*i**2 + 94*i + 36.
2*(i + 2)*(i + 9)*(2*i + 1)
Factor -2*s**5 + 2*s**4 + 2*s**3 - 2*s**2.
-2*s**2*(s - 1)**2*(s + 1)
Find k, given that k**4 - 3*k**3 - 558*k**2 + 6412*k - 10584 = 0.
-27, 2, 14
Suppose 2*r**2/5 - 6*r - 68/5 = 0. Calculate r.
-2, 17
Factor 48*f**5 - 312*f**4 + 147*f**3 - 18*f**2.
3*f**2*(f - 6)*(4*f - 1)**2
Find g such that -5*g**2 + 1070*g - 57245 = 0.
107
Factor 3*s**5 + 12*s**4 - 84*s**3 + 96*s**2.
3*s**2*(s - 2)**2*(s + 8)
Factor 4*z**4/3 + 16*z**3/3 + 4*z**2/3 - 8*z.
4*z*(z - 1)*(z + 2)*(z + 3)/3
Factor -2*f**3/3 - 76*f**2/3 + 462*f + 1020.
-2*(f - 15)*(f + 2)*(f + 51)/3
Find g, given that -36*g**5 + 192*g**4 - 304*g**3 + 8*g**2 + 340*g - 200 = 0.
-1, 1, 5/3, 2
What is c in -2*c**4 - 210*c**3 - 7212*c**2 - 78592*c + 86016 = 0?
-42, -32, 1
Find q, given that 4*q**3/3 + 112*q**2/3 + 784*q/3 = 0.
-14, 0
Suppose -s**2/6 - 196*s/3 = 0. What is s?
-392, 0
Factor 2*h**5/13 + 34*h**4/13 + 126*h**3/13 - 162*h**2/13.
2*h**2*(h - 1)*(h + 9)**2/13
Factor 5*p**2 - 750*p + 28125.
5*(p - 75)**2
Factor -2*d**2/5 + 198*d/5 - 1288/5.
-2*(d - 92)*(d - 7)/5
Suppose -6*d**5 + 19*d**4/2 + 6*d**3 - 2*d**2 = 0. What is d?
-2/3, 0, 1/4, 2
Solve -4*r**5/3 - 4*r**4/3 + 8*r**3 - 8*r**2/3 - 20*r/3 + 4 = 0.
-3, -1, 1
Solve -2*y**4 + 34*y**3/3 - 176*y**2/9 + 32*y/3 = 0 for y.
0, 4/3, 3
Determine i, given that -i**5/4 + 12*i**3 + 32*i**2 = 0.
-4, 0, 8
Dete