u**3 + 30*u**2 - 45*u + 20 = 0.
1, 4
Factor -4*d**3/7 - 1348*d**2/7 - 4016*d/7 - 2672/7.
-4*(d + 1)*(d + 2)*(d + 334)/7
Factor 4*z**2/9 + 100*z/9 + 184/9.
4*(z + 2)*(z + 23)/9
Factor -6*d**2 + 27*d - 12.
-3*(d - 4)*(2*d - 1)
Factor -d**2/5 + 36*d/5 - 55.
-(d - 25)*(d - 11)/5
Solve -4*f**3/9 - 76*f**2/9 + 568*f/9 - 800/9 = 0 for f.
-25, 2, 4
Factor 8*c**3/5 + 41*c**2/5 - 107*c/5 - 14/5.
(c - 2)*(c + 7)*(8*c + 1)/5
Solve -r**4/6 - 43*r**3/3 - 1573*r**2/6 + 1978*r - 3174 = 0.
-46, 3
Factor -2*g**3/3 - 122*g**2/3 - 2128*g/3 - 7840/3.
-2*(g + 5)*(g + 28)**2/3
Factor d**2/2 + 4500*d + 10125000.
(d + 4500)**2/2
Factor 3*f**4/5 + 177*f**3/5 + 465*f**2 - 8649*f/5.
3*f*(f - 3)*(f + 31)**2/5
Solve 153*q**4 + 318*q**3 - 435*q**2 - 36*q = 0.
-3, -4/51, 0, 1
Find b such that 4*b**3/5 + 43*b**2/5 - 11*b/5 = 0.
-11, 0, 1/4
Factor -27*o**2/4 + 51*o/4 - 6.
-3*(o - 1)*(9*o - 8)/4
Let 1225*y**4 - 105*y**3 - 1515*y**2 + 425*y - 30 = 0. Calculate y.
-6/5, 1/7, 1
Factor -2*s**2/15 + 2*s - 28/15.
-2*(s - 14)*(s - 1)/15
Solve 12*y**4/7 + 111*y**3/7 - 741*y**2/7 + 816*y/7 + 36 = 0 for y.
-14, -1/4, 2, 3
Suppose 2*m**4/3 + 40*m**3 + 418*m**2 + 1120*m/3 - 6016 = 0. What is m?
-47, -8, 3
Factor -3*b**3 - 123*b**2 - 552*b - 432.
-3*(b + 1)*(b + 4)*(b + 36)
Factor 292681*r**2 + 2164*r + 4.
(541*r + 2)**2
Factor 30*p**3 - 243*p**2 + 504*p - 48.
3*(p - 4)**2*(10*p - 1)
Find u, given that 2*u**4/5 - 4*u**3/5 - 2*u**2/5 + 4*u/5 = 0.
-1, 0, 1, 2
Determine p so that 5*p**3 + 100*p**2 + 465*p + 630 = 0.
-14, -3
Find w, given that -340*w**2/3 - w/3 = 0.
-1/340, 0
Suppose -20*y**2 - 5285*y - 1320 = 0. Calculate y.
-264, -1/4
Factor 3*k**3 + 36*k**2 - 768.
3*(k - 4)*(k + 8)**2
Factor -2*a**3/9 - 2*a**2/3 + 4*a/3 + 16/9.
-2*(a - 2)*(a + 1)*(a + 4)/9
Factor 5*i**4 - 80*i**3 + 480*i**2 - 1280*i + 1280.
5*(i - 4)**4
Let 3*j**4 + 27*j**3 + 69*j**2 + 9*j - 108 = 0. Calculate j.
-4, -3, 1
Determine h so that 5*h**4 + 100*h**3 + 370*h**2 - 1540*h - 1815 = 0.
-11, -1, 3
Suppose 5*v**2 + 3615*v - 3620 = 0. Calculate v.
-724, 1
Factor 4*d**3 - 48*d**2 + 44*d.
4*d*(d - 11)*(d - 1)
Factor -j**3/2 - 839*j**2/4 + 527*j - 211.
-(j - 2)*(j + 422)*(2*j - 1)/4
Factor -10*v**2 - 5825*v - 2910.
-5*(v + 582)*(2*v + 1)
Suppose -3*i**5 - 39*i**4 - 198*i**3 - 486*i**2 - 567*i - 243 = 0. What is i?
-3, -1
Factor 20*m**3 + 48*m**2 - 144*m - 64.
4*(m - 2)*(m + 4)*(5*m + 2)
Factor 4*m**2 - 9104*m + 5180176.
4*(m - 1138)**2
Suppose -l**3 + 61*l**2 = 0. Calculate l.
0, 61
Factor -9*l**3/5 + 87*l**2/5 - 234*l/5 + 24.
-3*(l - 5)*(l - 4)*(3*l - 2)/5
Let 6650*v**2 + 1350*v + 4 = 0. What is v?
-1/5, -2/665
Suppose c**3/5 + 51*c**2/5 - 109*c/5 - 159/5 = 0. What is c?
-53, -1, 3
Let -5*t**2 - 190*t - 1485 = 0. Calculate t.
-27, -11
Let -2*w**5/11 - 36*w**4/11 + 4*w**3/11 + 72*w**2/11 - 2*w/11 - 36/11 = 0. Calculate w.
-18, -1, 1
Factor 5*m**5 + 30*m**4 - 15*m**3 - 100*m**2 - 60*m.
5*m*(m - 2)*(m + 1)**2*(m + 6)
Factor -5184*f**2 + 1440*f - 100.
-4*(36*f - 5)**2
Suppose -3*l**3 + 21*l**2 - 33*l + 15 = 0. Calculate l.
1, 5
Solve -4*v**4/7 - 96*v**3/7 + 432*v**2/7 - 64*v = 0 for v.
-28, 0, 2
Factor o**3/3 + 20*o**2/3 - 11*o - 84.
(o - 4)*(o + 3)*(o + 21)/3
Factor 2*z**4/7 + 762*z**3/7 - 764*z**2/7.
2*z**2*(z - 1)*(z + 382)/7
Solve -b**5/3 - 7*b**4 - 24*b**3 + 144*b**2 = 0.
-12, 0, 3
Factor -2*g**2 - 90*g - 88.
-2*(g + 1)*(g + 44)
Solve l**5 - 25*l**4/3 + 80*l**3/3 - 40*l**2 + 80*l/3 - 16/3 = 0 for l.
1/3, 2
Let -2*w**4 + 36*w**3 + 8*w**2 - 144*w = 0. What is w?
-2, 0, 2, 18
Factor -w**2 + 61*w.
-w*(w - 61)
Suppose -2*w**5 + 40*w**4 - 266*w**3 + 676*w**2 - 704*w + 256 = 0. Calculate w.
1, 2, 8
Find m, given that -5*m**5 + 130*m**4 - 785*m**3 - 1480*m**2 + 8060*m + 13520 = 0.
-2, 4, 13
Solve 2*u**3/3 + 56*u**2/3 + 18*u = 0 for u.
-27, -1, 0
What is j in 18*j**2/11 - 46*j + 56/11 = 0?
1/9, 28
Factor -2*n**5/3 - 2*n**4/3 + 2*n**3 + 10*n**2/3 + 4*n/3.
-2*n*(n - 2)*(n + 1)**3/3
Factor 10*n**2/7 + 4316*n/7 - 1728/7.
2*(n + 432)*(5*n - 2)/7
What is n in 4*n**4 - 120*n**3 + 96*n**2 + 568*n + 348 = 0?
-1, 3, 29
Factor -a**3/4 + 5*a**2 - 33*a/4 - 27/2.
-(a - 18)*(a - 3)*(a + 1)/4
Solve -8*d**5 + 4*d**4 + 16*d**3 - 8*d**2 - 8*d + 4 = 0 for d.
-1, 1/2, 1
Factor -4*m**2 - 64*m - 256.
-4*(m + 8)**2
Factor 2*y**2/3 - 128/3.
2*(y - 8)*(y + 8)/3
Determine m so that 20*m**5 - 4*m**4 - 60*m**3 - 28*m**2 + 8*m = 0.
-1, 0, 1/5, 2
Suppose -3*h**3 - 210*h**2 - 4059*h - 13068 = 0. Calculate h.
-33, -4
Determine r so that 2*r**3/7 - 94*r**2/7 + 352*r/7 - 344/7 = 0.
2, 43
Determine d, given that -d**5/2 + 3*d**4/2 + 42*d**3 + 136*d**2 + 96*d = 0.
-4, -1, 0, 12
Factor 10*r**3/11 - 6*r**2/11 - 4*r/11.
2*r*(r - 1)*(5*r + 2)/11
Factor -3*y**2 - 3*y + 330.
-3*(y - 10)*(y + 11)
What is b in b**5 - 50*b**4 - 166*b**3 + 356*b**2 + 813*b - 954 = 0?
-3, 1, 2, 53
Suppose -5*v**4 - 220*v**3 - 210*v**2 + 220*v + 215 = 0. Calculate v.
-43, -1, 1
Let -2*k**2 - 410*k - 408 = 0. Calculate k.
-204, -1
Factor k**2/4 + 45*k/4 - 23/2.
(k - 1)*(k + 46)/4
Let i**5 - 18*i**4 + 14*i**3 + 52*i**2 - 15*i - 34 = 0. What is i?
-1, 1, 2, 17
Factor 3*w**2/5 + 9*w/5 - 54/5.
3*(w - 3)*(w + 6)/5
Suppose 3*t**4/8 - 33*t**3/8 + 12*t**2 - 3*t/2 - 18 = 0. What is t?
-1, 2, 4, 6
Let -v**3 + 4*v**2 + 5*v = 0. What is v?
-1, 0, 5
Suppose 15*t**5/2 + 5*t**4/2 - 350*t**3 + 830*t**2 - 400*t = 0. Calculate t.
-8, 0, 2/3, 2, 5
Let 2*j**5 - 10*j**4 - 10*j**3 + 50*j**2 + 8*j - 40 = 0. Calculate j.
-2, -1, 1, 2, 5
What is y in -8*y**5 - 132*y**4 + 80*y**3 + 200*y**2 - 72*y - 68 = 0?
-17, -1, -1/2, 1
Find n such that -4*n**5 + 1048*n**4 - 1040*n**3 - 1048*n**2 + 1044*n = 0.
-1, 0, 1, 261
Suppose t**2 + t - 20 = 0. Calculate t.
-5, 4
Factor -2*g**2 - 104*g - 102.
-2*(g + 1)*(g + 51)
Solve -45*r**5 - 1835*r**4 - 17725*r**3 - 26885*r**2 - 7710*r + 3240 = 0.
-27, -12, -1, 2/9
Factor w**2 - 538*w - 539.
(w - 539)*(w + 1)
Solve -2*h**2 - 104*h = 0 for h.
-52, 0
What is h in h**5/2 - 3*h**4 + 11*h**3/2 - 3*h**2 = 0?
0, 1, 2, 3
Factor 2*i**2/7 + 20*i/7 - 22/7.
2*(i - 1)*(i + 11)/7
Suppose 2*s**2 + 218*s + 216 = 0. Calculate s.
-108, -1
Suppose -2*h**5/7 + 20*h**4/7 + 6*h**3/7 - 40*h**2 - 56*h = 0. Calculate h.
-2, 0, 7
Factor a**5/3 + a**4 - 4*a**3/3.
a**3*(a - 1)*(a + 4)/3
Factor -a**2 + 3250*a - 2640625.
-(a - 1625)**2
Find a such that a**5/6 + a**4/3 - a**2/3 - a/6 = 0.
-1, 0, 1
Let 98*z**5/5 + 728*z**4/5 + 834*z**3/5 - 76*z**2/5 - 232*z/5 + 48/5 = 0. What is z?
-6, -1, 2/7
Factor -x**3/2 + 11*x**2/2 + 20*x + 14.
-(x - 14)*(x + 1)*(x + 2)/2
Factor 2*k**4 - 26*k**3 + 46*k**2 - 22*k.
2*k*(k - 11)*(k - 1)**2
Factor -4*q**2 - 436*q + 440.
-4*(q - 1)*(q + 110)
Suppose -2*n**5/7 - 2*n**4/7 + 12*n**3/7 + 8*n**2/7 - 16*n/7 = 0. Calculate n.
-2, 0, 1, 2
Factor k**2/8 - 81/8.
(k - 9)*(k + 9)/8
Factor 5*t**3 - 7800*t**2 + 4056000*t - 703040000.
5*(t - 520)**3
Determine z, given that -14*z**4 + 67*z**3 - 102*z**2 + 52*z - 8 = 0.
2/7, 1/2, 2
Solve -t**5/2 + 2*t**4 - 5*t**3/2 + t**2 = 0 for t.
0, 1, 2
Solve 3*n**5/7 + 87*n**4/7 + 165*n**3/7 + 81*n**2/7 = 0 for n.
-27, -1, 0
What is d in 16*d**4/3 + 232*d**3/3 + 299*d**2 + 406*d/3 + 49/3 = 0?
-7, -1/4
Factor -2*w**3/23 - 14*w**2/23 + 10*w/23 + 150/23.
-2*(w - 3)*(w + 5)**2/23
Suppose m**2/5 + 21*m/5 - 54 = 0. Calculate m.
-30, 9
Find l such that -5*l**3/2 + 251*l**2/2 + 235*l - 52 = 0.
-2, 1/5, 52
Suppose 2*w**3/25 + 68*w**2/25 = 0. Calculate w.
-34, 0
Factor 2*p**4 + 86*p**3 + 1264*p**2 + 7168*p + 12288.
2*(p + 3)*(p + 8)*(p + 16)**2
Factor 2*m**4 - 6*m**3 + 8*m.
2*m*(m - 2)**2*(m + 1)
Suppose -5*j**2 - 157*j - 62 = 0. Calculate j.
-31, -2/5
Factor -4*m**2 + 1112*m - 1108.
-4*(m - 277)*(m - 1)
Suppose -105*q**4/4 - 309*q**3/4 + 9*q**2/2 + 105*q - 6 = 0. What is q?
-2, 2/35, 1
Factor -5*b**4/6 + 69*b**3/2 - 41*b**2/3.
-b**2*(b - 41)*(5*b - 2)/6
Let 10515698*n**2 + 18344*n + 8 = 0. What is n?
-2/2293
Let 12*i**2/7 + 64*i/7 - 48/7 = 0. What is i?
-6, 2/3
Factor -x**2/4 + 21*x/2 - 245/4.
-(x - 35)*(x - 7)/4
Factor 5*b**3 - 55*b**2.
5*b**2*(b - 11)
Let -v**4 + 600*v**3 - 135000*v**2 + 13500000*v - 506250000 = 0. Calculate v.
150
Find n, given that 2*n**5/9 + 16*n**4/9 + 14*n**3/9 = 0.
-7, -1, 0
Find d, given that -4*d**2/9 - 44*d/3 = 0.
-33, 0
Factor -6*s**4 - 9*s**3 + 3*s.
-3*s*(s + 1)**2*(2*s - 1)
Factor -3*a**3/5 - 1017*a**2/5 + 4248*a - 21540.
-3*(a - 10)**2*(a + 