*f**3/8 - 141*f**2/4 - 75*f/2 - 3 = 0.
-2, -2/23
Factor -o**3 + 14*o**2 - 24*o.
-o*(o - 12)*(o - 2)
Solve -10*d**5/13 - 18*d**4/13 + 94*d**3/13 + 2*d**2/13 - 84*d/13 + 16/13 = 0 for d.
-4, -1, 1/5, 1, 2
Determine d, given that 6*d**2 - 843*d + 1251 = 0.
3/2, 139
Factor -3*x**2 - 120*x - 117.
-3*(x + 1)*(x + 39)
Factor r**2/6 + 223*r/6 + 37.
(r + 1)*(r + 222)/6
Factor 2*x**4 - 14*x**3 + 34*x**2 - 34*x + 12.
2*(x - 3)*(x - 2)*(x - 1)**2
Factor -5*l**5/2 - 5*l**4/2 + 5*l**3/2 + 5*l**2/2.
-5*l**2*(l - 1)*(l + 1)**2/2
Find w such that -4*w**2 + 7328*w - 3356224 = 0.
916
What is l in l**2 + 43*l + 190 = 0?
-38, -5
Determine t, given that 3*t**3 + 84*t**2 + 660*t + 1008 = 0.
-14, -12, -2
Factor 845*x**3 + 167635*x**2 - 103400*x + 15920.
5*(x + 199)*(13*x - 4)**2
What is b in -5*b**2 - 1865*b + 1870 = 0?
-374, 1
What is l in -2*l**3 + 18*l**2 - 16*l = 0?
0, 1, 8
Factor -4*u**3/5 + 28*u**2/5 - 32*u/5 - 64/5.
-4*(u - 4)**2*(u + 1)/5
Factor 4*h**2 + 3528*h + 7040.
4*(h + 2)*(h + 880)
Factor y**2 - 59*y - 60.
(y - 60)*(y + 1)
Determine r, given that 3*r**4/5 - 2*r**3 - 27*r**2/5 + 2*r = 0.
-2, 0, 1/3, 5
Let d**3 + 113*d**2 + 110*d - 224 = 0. What is d?
-112, -2, 1
Factor -2*y**5/7 + 54*y**4 - 17286*y**3/7 - 54146*y**2/7 - 54912*y/7 - 18432/7.
-2*(y - 96)**2*(y + 1)**3/7
Factor 3*l**2/4 + 363*l/4 + 981.
3*(l + 12)*(l + 109)/4
Solve 3*x**2/2 - 75*x - 696 = 0 for x.
-8, 58
Let 6*l**5/11 + 82*l**4/11 - 1682*l**3/11 + 494*l**2/11 + 100*l = 0. What is l?
-25, -2/3, 0, 1, 11
Factor 3*c**2/4 - 183*c/2.
3*c*(c - 122)/4
Find t, given that t**5/5 + 19*t**4/5 + 132*t**3/5 + 428*t**2/5 + 656*t/5 + 384/5 = 0.
-8, -4, -3, -2
Factor -v**4/2 + v**3/2 + 9*v**2/2 - 9*v/2.
-v*(v - 3)*(v - 1)*(v + 3)/2
Factor f**5 - 4*f**3.
f**3*(f - 2)*(f + 2)
Let 80*p**5 - 520*p**4 - 155*p**3 + 4930*p**2 - 4335*p = 0. Calculate p.
-3, 0, 1, 17/4
Solve -13*m**5 + 11*m**4 + 15*m**3 - 11*m**2 - 2*m = 0 for m.
-1, -2/13, 0, 1
Determine n, given that -12*n**2 - 20*n + 8 = 0.
-2, 1/3
Factor -3*p**2 + 7416*p - 4583088.
-3*(p - 1236)**2
Factor 5*c**4 + 20*c**3 - 5*c**2 - 20*c.
5*c*(c - 1)*(c + 1)*(c + 4)
Suppose 242*o**2 - 1100*o + 1250 = 0. Calculate o.
25/11
Find f such that 5*f**4 + 5*f**3 - 130*f**2 + 120*f = 0.
-6, 0, 1, 4
Factor -4*r**3 - 28*r**2 + 216*r - 288.
-4*(r - 3)*(r - 2)*(r + 12)
What is l in -3*l**4/4 + 21*l**3 - 135*l**2 + 312*l - 240 = 0?
2, 4, 20
Find f, given that -4*f**3 - 16*f**2 - 16*f = 0.
-2, 0
Factor 2*u**3/3 + 4*u**2/3 - 50*u/3 - 100/3.
2*(u - 5)*(u + 2)*(u + 5)/3
Suppose 3*s**4 + 216*s**3/5 - 441*s**2/5 - 186*s - 288/5 = 0. What is s?
-16, -1, -2/5, 3
Factor -3*x**5/2 + 36*x**4 - 603*x**3/2 + 1065*x**2 - 1674*x + 972.
-3*(x - 9)**2*(x - 2)**3/2
Let 10*u**5 + 84*u**4 + 32*u**3 = 0. What is u?
-8, -2/5, 0
Let 12*b**5 + 44*b**4 - 40*b**3 - 136*b**2 + 156*b - 36 = 0. Calculate b.
-3, 1/3, 1
Determine i so that i**3/2 - 151*i**2/2 - i/2 + 151/2 = 0.
-1, 1, 151
Factor -3*q**2 + 477*q + 966.
-3*(q - 161)*(q + 2)
Solve -3*a**4/4 + 51*a**2/4 + 27*a + 15 = 0 for a.
-2, -1, 5
Factor -z**5/3 - 14*z**4/3 - 20*z**3 - 24*z**2.
-z**2*(z + 2)*(z + 6)**2/3
Factor -k**3/3 - 2*k**2/3 - k/3.
-k*(k + 1)**2/3
Let 121*f**4/4 + 61*f**3 - 117*f**2/4 - 61*f - 1 = 0. Calculate f.
-2, -1, -2/121, 1
Factor -2*n**5/9 - 4*n**4/9 + 10*n**3/3.
-2*n**3*(n - 3)*(n + 5)/9
Factor u**2/8 - 67*u/4 - 69.
(u - 138)*(u + 4)/8
Find h, given that h**4/6 - 13*h**3/6 - 23*h**2/3 - 16*h/3 = 0.
-2, -1, 0, 16
Factor 5*w**2 + 865*w + 3380.
5*(w + 4)*(w + 169)
Factor 2*o**2 - 2616*o - 2618.
2*(o - 1309)*(o + 1)
Factor s**3/3 - 2*s**2/3 - s.
s*(s - 3)*(s + 1)/3
What is g in -3*g**2/8 - 1881*g/2 - 1179387/2 = 0?
-1254
Factor x**4/5 - 14*x**3/5 + 72*x**2/5 - 32*x + 128/5.
(x - 4)**3*(x - 2)/5
Find f such that -f**3 - 47*f**2 - 286*f - 240 = 0.
-40, -6, -1
Solve -l**3/3 - 8*l**2/3 + 31*l/3 - 22/3 = 0 for l.
-11, 1, 2
Factor -2*x**3/5 + 3*x**2 - 6*x/5 - 7/5.
-(x - 7)*(x - 1)*(2*x + 1)/5
Find o such that -o**3 - 2*o**2 - o = 0.
-1, 0
Solve d**5 + 23*d**4 + 140*d**3 + 196*d**2 = 0 for d.
-14, -7, -2, 0
Solve -2*t**3/11 + 606*t**2/11 - 164*t + 1200/11 = 0 for t.
1, 2, 300
Solve -2*r**2 + 146*r - 1824 = 0.
16, 57
Find t, given that 1239*t**5 - 17329*t**4 - 358*t**3 + 1684*t**2 - 56*t = 0.
-1/3, 0, 2/59, 2/7, 14
Factor 3*v**3 + 33*v**2 + 9*v - 405.
3*(v - 3)*(v + 5)*(v + 9)
Factor -x**5/2 - 111*x**4 - 12097*x**3/2 + 12432*x**2 - 6272*x.
-x*(x - 1)**2*(x + 112)**2/2
Factor v**4/2 - v**3 - 47*v**2/2 - 66*v - 54.
(v - 9)*(v + 2)**2*(v + 3)/2
Suppose -33*p**4 - 96*p**3 - 93*p**2 - 30*p = 0. What is p?
-1, -10/11, 0
Factor 2*w**3 - 6*w**2 + 4*w.
2*w*(w - 2)*(w - 1)
Factor -2*q**3/3 + 1538*q**2/3 - 98816*q + 98304.
-2*(q - 384)**2*(q - 1)/3
Factor -r**5/5 - 7*r**4/5 - 3*r**3 - 13*r**2/5 - 4*r/5.
-r*(r + 1)**3*(r + 4)/5
Solve w**3/10 - 3*w/10 + 1/5 = 0 for w.
-2, 1
Determine w, given that -2*w**3/15 - 8*w**2/15 + 38*w/15 - 28/15 = 0.
-7, 1, 2
Determine x so that 18*x**2 + 212*x - 48 = 0.
-12, 2/9
Factor f**5 - 787*f**4 + 155235*f**3 - 154449*f**2.
f**2*(f - 393)**2*(f - 1)
Factor q**3/7 + 11*q**2/7 - 45*q/7 - 81.
(q - 7)*(q + 9)**2/7
Factor c**3/4 + 333*c**2/4 + 36963*c/4 + 1367631/4.
(c + 111)**3/4
Factor i**2/2 + 34*i - 69/2.
(i - 1)*(i + 69)/2
Determine z, given that -3*z**2/5 + 4*z/5 + 7/5 = 0.
-1, 7/3
Find u such that -u**3 - 98*u**2 - 1836*u + 29160 = 0.
-54, 10
Factor -f**3 - 87*f**2 - 252*f.
-f*(f + 3)*(f + 84)
What is y in 3*y**5/2 + 5*y**4/2 - 13*y**3/2 - y**2/2 + 3*y = 0?
-3, -2/3, 0, 1
Let -4*s**3/3 + 2*s**2/3 = 0. Calculate s.
0, 1/2
Suppose -30*s**4/19 + 86*s**3/19 + 192*s**2/19 - 216*s/19 - 32/19 = 0. What is s?
-2, -2/15, 1, 4
Find h, given that 4*h**2 - 8768*h + 4804864 = 0.
1096
Find i, given that -24*i**4/5 + 363*i**3/5 + 1203*i**2/5 + 708*i/5 - 108/5 = 0.
-2, -1, 1/8, 18
Factor 3*d**5 - 12*d**4 + 9*d**3.
3*d**3*(d - 3)*(d - 1)
Factor -2*h**3 - 710*h**2 - 55726*h + 1328822.
-2*(h - 19)*(h + 187)**2
Factor h**5 - 4*h**4 - 12*h**3 - 2*h**2 + 11*h + 6.
(h - 6)*(h - 1)*(h + 1)**3
Solve -n**3/12 - 101*n**2/12 - 833*n/4 + 867/4 = 0 for n.
-51, 1
Factor 5*p**2 + 2230*p + 248645.
5*(p + 223)**2
Factor -2*i**2 - 13424*i - 22525472.
-2*(i + 3356)**2
Factor -65*n**3/4 + 1245*n**2/4 - 95*n/2.
-5*n*(n - 19)*(13*n - 2)/4
Determine l so that -l**3/4 + l**2 + 51*l/4 - 27/2 = 0.
-6, 1, 9
Solve 50*p**4/21 + 14*p**3 + 138*p**2/7 + 146*p/21 - 8/7 = 0 for p.
-4, -1, 3/25
Factor 5*m**4 + 200*m**3 + 1790*m**2 - 4200*m + 2205.
5*(m - 1)**2*(m + 21)**2
Suppose -2*m**3 - 320*m**2 - 14250*m - 112500 = 0. Calculate m.
-75, -10
Factor 2*i**3/11 + 266*i**2/11 + 1066*i + 171462/11.
2*(i + 41)**2*(i + 51)/11
Factor -3*z**4/8 - 87*z**3/4 - 405*z**2 - 2100*z + 6000.
-3*(z - 2)*(z + 20)**3/8
Factor -x**2/2 - 81*x/2 + 41.
-(x - 1)*(x + 82)/2
Determine x, given that x**4/4 + 19*x**3/4 + 12*x**2 - x - 16 = 0.
-16, -2, 1
Factor 2*s**4/15 - 4*s**3/5 + 8*s**2/5 - 16*s/15.
2*s*(s - 2)**3/15
Solve 3*h**2/7 - 198*h/7 - 621/7 = 0 for h.
-3, 69
Find s such that -2*s**4/9 + 14*s**3/3 - 46*s**2/3 - 1562*s/9 + 2420/3 = 0.
-6, 5, 11
Factor -2*f**2/3 + 2592*f + 7778/3.
-2*(f - 3889)*(f + 1)/3
Determine w so that -3*w**2 - 615*w - 612 = 0.
-204, -1
Solve -4*y**5 + 128*y**4 - 116*y**3 - 248*y**2 = 0.
-1, 0, 2, 31
Find z such that z**5/10 - 3*z**4/10 - z**3/2 + 3*z**2/10 + 2*z/5 = 0.
-1, 0, 1, 4
Factor -2*w**5/5 - 32*w**4/5 - 56*w**3/5.
-2*w**3*(w + 2)*(w + 14)/5
Factor 6*p**2 + 1561*p/2 + 65.
(p + 130)*(12*p + 1)/2
Find z such that 3*z**2 - 2118*z + 373827 = 0.
353
Factor 10*w**2 + 58*w + 40.
2*(w + 5)*(5*w + 4)
Factor -5*g**2 - 865*g - 1710.
-5*(g + 2)*(g + 171)
Factor -2*q**2 + 30*q - 28.
-2*(q - 14)*(q - 1)
Solve 3*f**3/4 - 6*f**2 + 33*f/4 + 15 = 0 for f.
-1, 4, 5
Factor g**5 + 2*g**4 - 10*g**3 - 8*g**2 + 33*g - 18.
(g - 2)*(g - 1)**2*(g + 3)**2
Factor v**2/3 + 500*v/3 + 62500/3.
(v + 250)**2/3
Factor -5*w**4 + 60*w**3 + 845*w**2 - 900*w.
-5*w*(w - 20)*(w - 1)*(w + 9)
Factor -18*o**3 + 32*o**2 + 8*o.
-2*o*(o - 2)*(9*o + 2)
Factor 3*d**5 - 51*d**4 + 258*d**3 - 336*d**2.
3*d**2*(d - 8)*(d - 7)*(d - 2)
Factor -5*i**2 + 180*i - 175.
-5*(i - 35)*(i - 1)
What is w in w**4 - 6*w**3 - 20*w**2 + 24*w + 64 = 0?
-2, 2, 8
Suppose -2*n**5/15 - 4*n**4/5 - 16*n**3/15 + 4*n**2/5 + 6*n/5 = 0. What is n?
-3, -1, 0, 1
Factor -5*d**2/3 + 10*d/3 + 5.
-5*(d - 3)*(d + 1)/3
Solve -m**5/3