*l - 78 = 0.
-13, -1, 2
Factor -2*t**2 + 118*t - 1560.
-2*(t - 39)*(t - 20)
Let -h**3/2 + 6729*h**2/2 - 5661612*h + 5658248 = 0. Calculate h.
1, 3364
Factor 4*q**5 + 144*q**4 + 884*q**3 + 2168*q**2 + 2352*q + 928.
4*(q + 1)*(q + 2)**3*(q + 29)
Factor -2*w**3/11 - 1240*w**2/11 - 2474*w/11 - 1236/11.
-2*(w + 1)**2*(w + 618)/11
Solve -2*u**4/9 - 34*u**3/9 + 44*u**2/9 + 136*u/9 - 16 = 0 for u.
-18, -2, 1, 2
Factor 2*i**2/9 - 20*i - 62.
2*(i - 93)*(i + 3)/9
Solve -t**2 - 4*t = 0.
-4, 0
Solve -3*z**4/5 - 442*z**3/5 - 16132*z**2/5 + 10952*z/5 = 0.
-74, 0, 2/3
What is c in 5*c**4 + 1670*c**3 + 1660*c**2 - 1670*c - 1665 = 0?
-333, -1, 1
What is s in s**4 + 71*s**3/4 + 175*s**2/2 + 97*s - 30 = 0?
-10, -6, -2, 1/4
Find v, given that 2*v**2/15 - 436*v/15 = 0.
0, 218
Factor -2*j**2/11 - 282*j/11.
-2*j*(j + 141)/11
Factor -5*b**3 + 152*b**2 - 205*b + 58.
-(b - 29)*(b - 1)*(5*b - 2)
Factor 3*t**5 - 27*t**3 + 12*t**2 + 36*t.
3*t*(t - 2)**2*(t + 1)*(t + 3)
Factor 3*o**4/2 + 9*o**3 + 3*o**2/2 - 36*o + 24.
3*(o - 1)**2*(o + 4)**2/2
Factor y**4/6 - 278*y**3 + 154845*y**2 - 28954350*y + 170953875/2.
(y - 555)**3*(y - 3)/6
Let -2*n**2 + 460*n + 1398 = 0. Calculate n.
-3, 233
Let -3*q**3 + 27*q**2 - 72*q + 48 = 0. Calculate q.
1, 4
Factor 5*l**2 - 200*l + 2000.
5*(l - 20)**2
Determine j so that j**4 + 376*j**3 + 34966*j**2 - 71064*j + 35721 = 0.
-189, 1
Factor -12*s**2/5 - 184*s/5 + 128/5.
-4*(s + 16)*(3*s - 2)/5
Suppose 261*l**2/4 + 132*l + 3 = 0. Calculate l.
-2, -2/87
Factor -6*b**2 - 3936*b/5 - 786/5.
-6*(b + 131)*(5*b + 1)/5
Factor -4*c**3 + 12*c**2 + 36*c + 20.
-4*(c - 5)*(c + 1)**2
Factor 6*x**2 + 3910*x/3 + 868/3.
2*(x + 217)*(9*x + 2)/3
Suppose -2*h**3/5 - 68*h**2/5 + 14*h = 0. Calculate h.
-35, 0, 1
Find z, given that -15*z**5 - 42*z**4 - 6*z**3 + 48*z**2 + 21*z - 6 = 0.
-2, -1, 1/5, 1
Let -11*s**5/5 + 171*s**4/5 - 991*s**3/5 + 2641*s**2/5 - 642*s + 280 = 0. What is s?
1, 2, 28/11, 5
Factor -3*n**3/4 + 411*n**2/4 - 102*n.
-3*n*(n - 136)*(n - 1)/4
Solve -3*s**3 - 39*s**2 = 0 for s.
-13, 0
Find o such that o**4/5 + 2*o**3 + 5*o**2 = 0.
-5, 0
Factor -4*p**2 + 16*p + 468.
-4*(p - 13)*(p + 9)
Find a such that -4*a**5/3 + 10*a**4/3 + 50*a**3/3 + 10*a**2/3 - 46*a/3 - 20/3 = 0.
-2, -1, -1/2, 1, 5
Factor 22*f**4 - 18*f**3 - 136*f**2 - 24*f.
2*f*(f - 3)*(f + 2)*(11*f + 2)
Factor -j**2/2 - 2*j + 21/2.
-(j - 3)*(j + 7)/2
Find a, given that -2*a**4 + 392*a**3 + 1202*a**2 - 1592*a = 0.
-4, 0, 1, 199
Solve -2*a**5/5 - 2898*a**4/5 - 8682*a**3/5 - 8678*a**2/5 - 2892*a/5 = 0 for a.
-1446, -1, 0
Factor -t**3 - 59*t**2 - 840*t + 900.
-(t - 1)*(t + 30)**2
Determine a, given that -a**5 + 7*a**4 - 19*a**3 + 25*a**2 - 16*a + 4 = 0.
1, 2
Suppose -5*w**5 + 30*w**4 + 60*w**3 - 440*w**2 + 480*w = 0. What is w?
-4, 0, 2, 6
Factor -2*o**2/15 - 4*o - 58/15.
-2*(o + 1)*(o + 29)/15
Factor 5*n**4/3 + 85*n**3/3 - 95*n**2 + 295*n/3 - 100/3.
5*(n - 1)**3*(n + 20)/3
Solve 2*y**4/3 + 14*y**3/3 + 10*y**2 + 6*y = 0.
-3, -1, 0
Factor 6*h**2/5 - 244*h/5 + 32.
2*(h - 40)*(3*h - 2)/5
Find h such that -h**3/5 - 47*h**2/5 - 416*h/5 + 676 = 0.
-26, 5
Factor 5*j**2 + 760*j - 765.
5*(j - 1)*(j + 153)
Find o such that -4*o**2 + 284*o/5 + 48 = 0.
-4/5, 15
Factor -10*r**3 + 35*r**2 + 70*r + 25.
-5*(r - 5)*(r + 1)*(2*r + 1)
What is y in y**2 + 10*y + 9 = 0?
-9, -1
Let -5*x**5/2 - 37*x**4/2 - 59*x**3/2 - 27*x**2/2 = 0. Calculate x.
-27/5, -1, 0
Solve 8*h**4/5 + 6*h**3/5 - 314*h**2 + 6024*h/5 - 1408/5 = 0.
-16, 1/4, 4, 11
What is f in -f**5/5 + f**4 + 53*f**3/5 - 121*f**2/5 - 952*f/5 - 784/5 = 0?
-4, -1, 7
Factor -3*j**2 + 333*j - 972.
-3*(j - 108)*(j - 3)
Factor -r**5 + 46*r**4 - 744*r**3 + 4592*r**2 - 3920*r - 32928.
-(r - 14)**3*(r - 6)*(r + 2)
Factor c**5 - 11*c**4 - 57*c**3 + 227*c**2 - 244*c + 84.
(c - 14)*(c - 1)**3*(c + 6)
Let 2*a**2/5 + 392*a/5 - 2424/5 = 0. Calculate a.
-202, 6
Factor 4*j**2 - 232*j - 480.
4*(j - 60)*(j + 2)
Factor 4*d**3 - 40*d**2.
4*d**2*(d - 10)
Factor -4*i**2 + 16*i - 12.
-4*(i - 3)*(i - 1)
Factor 2*g**4/9 - 10*g**3/9 + 2*g**2/3 + 2*g.
2*g*(g - 3)**2*(g + 1)/9
Factor -4*b**3/7 + 312*b**2/7 - 1020*b + 5600.
-4*(b - 35)**2*(b - 8)/7
Suppose -3*b**5 + 6*b**3 - 3*b = 0. What is b?
-1, 0, 1
Factor -3*w**2 + 3546*w - 1047843.
-3*(w - 591)**2
Solve -3*s**2 - 222*s = 0 for s.
-74, 0
Factor 4*s**5 - 20*s**4 + 32*s**3 - 16*s**2.
4*s**2*(s - 2)**2*(s - 1)
Factor -3*x**2/2 - 99*x/2 + 51.
-3*(x - 1)*(x + 34)/2
Factor 5*y**2 - 530*y + 2040.
5*(y - 102)*(y - 4)
Suppose -2*j**5/7 - 4*j**4/7 + 2*j**3 - 8*j**2/7 = 0. Calculate j.
-4, 0, 1
Solve 5*b**2 - 40*b + 35 = 0.
1, 7
Factor 2*u**5 - 16*u**4 + 14*u**3.
2*u**3*(u - 7)*(u - 1)
Solve 5*z**4 + 5*z**3 - 75*z**2 + 115*z - 50 = 0.
-5, 1, 2
Find n such that 7*n**5/2 - 61*n**4/2 - 39*n**3/2 + 197*n**2/2 - 34*n - 18 = 0.
-2, -2/7, 1, 9
Determine g so that -g**2/4 + 275*g/2 + 551/4 = 0.
-1, 551
Factor 3*j**5 - 18*j**4 - 108*j**3 - 120*j**2.
3*j**2*(j - 10)*(j + 2)**2
Factor -4*j**4/5 - 296*j**3/5.
-4*j**3*(j + 74)/5
Factor 5*j**2 - 3115*j + 3110.
5*(j - 622)*(j - 1)
Solve -200*w**4/3 - 5240*w**3/3 - 13054*w**2 - 63404*w/3 - 29282/3 = 0 for w.
-121/10, -1
What is p in -8*p**5 + 32*p**4/3 - 26*p**3/9 + 2*p**2/9 = 0?
0, 1/6, 1
Solve -2*l**4/5 - 44*l**3/5 - 58*l**2/5 + 464*l/5 + 96 = 0 for l.
-20, -4, -1, 3
Factor -2*s**2/5 - 5316*s/5 - 3532482/5.
-2*(s + 1329)**2/5
Factor h**2/3 + 268*h/3 - 271.
(h - 3)*(h + 271)/3
Factor -z**5 + 26*z**4 - 193*z**3 + 312*z**2 - 144*z.
-z*(z - 12)**2*(z - 1)**2
Factor -3*o**4/5 - 12*o**3/5 - 3*o**2 - 6*o/5.
-3*o*(o + 1)**2*(o + 2)/5
Factor -2*u**2/9 - 68*u/9.
-2*u*(u + 34)/9
Solve -3*a**4/2 - 519*a**3/8 - 2049*a**2/8 - 294*a - 117/2 = 0.
-39, -2, -1/4
Factor 2*d**5 + 64*d**4 + 776*d**3 + 4448*d**2 + 12160*d + 12800.
2*(d + 4)**3*(d + 10)**2
Factor c**2 - 9800*c.
c*(c - 9800)
Suppose i**3/4 - 13*i**2/2 + 48*i - 72 = 0. Calculate i.
2, 12
Solve -6*o**2/7 - 1434*o/7 - 7020/7 = 0 for o.
-234, -5
Solve 3*j**2/2 + 1818*j = 0 for j.
-1212, 0
Factor -d**4 + 21*d**3 + 227*d**2 + 195*d - 1450.
-(d - 29)*(d - 2)*(d + 5)**2
Factor 2*o**3/3 + 164*o**2/3 - 680*o/3 + 688/3.
2*(o - 2)**2*(o + 86)/3
Suppose 5*f**2 + 8820*f + 3889620 = 0. What is f?
-882
Let 2*h**2/9 - 980*h/3 + 120050 = 0. What is h?
735
Factor -4*v**3 + 1708*v**2 - 183180*v + 181476.
-4*(v - 213)**2*(v - 1)
What is l in 2*l**3 - 18*l**2 + 40*l = 0?
0, 4, 5
Factor 2*r**4 + 10*r**3 + 18*r**2 + 14*r + 4.
2*(r + 1)**3*(r + 2)
Let 5*w**5 + 1200*w**4 + 75510*w**3 + 421200*w**2 + 616005*w = 0. Calculate w.
-117, -3, 0
Suppose -2*r**2 + 408*r + 410 = 0. Calculate r.
-1, 205
Let -5*q**3/3 + 76*q**2 - 851*q - 1058/3 = 0. What is q?
-2/5, 23
Let 2*c**2/5 - 12*c/5 + 2 = 0. Calculate c.
1, 5
Factor -3*v**2/7 - 16938*v/7 - 23907987/7.
-3*(v + 2823)**2/7
Factor -6*c**4/5 + 2*c**3 - 4*c**2/5.
-2*c**2*(c - 1)*(3*c - 2)/5
Determine d, given that 36980*d**3/3 + 54610*d**2/3 - 1285*d/3 + 5/2 = 0.
-3/2, 1/86
Let -5*i**4 + 265*i**3 + 1410*i**2 + 2300*i + 1160 = 0. What is i?
-2, -1, 58
Factor 4*w**4 - 108*w**3 + 380*w**2 - 276*w.
4*w*(w - 23)*(w - 3)*(w - 1)
Factor 2*x**4 + 58*x**3 - 254*x**2 + 326*x - 132.
2*(x - 2)*(x - 1)**2*(x + 33)
Suppose -i**3/3 - 11*i**2/3 + 4*i/3 + 44/3 = 0. What is i?
-11, -2, 2
Find u such that 4*u**5/11 + 90*u**4/11 + 652*u**3/11 + 1368*u**2/11 - 112*u - 882/11 = 0.
-9, -7, -1/2, 1
Determine r so that -r**4/2 - 90*r**3 + 1131*r**2/2 + 1399*r + 744 = 0.
-186, -1, 8
Factor d**3 + 10*d**2 - 63*d - 648.
(d - 8)*(d + 9)**2
Factor 4*y**3/5 + 228*y**2/5 + 1596*y/5 + 1372/5.
4*(y + 1)*(y + 7)*(y + 49)/5
Factor 2*u**5/7 - 228*u**4/7 + 9628*u**3/7 - 174928*u**2/7 + 146334*u + 2829124/7.
2*(u - 29)**4*(u + 2)/7
Determine m so that 3*m**4 - 11*m**3 - 14*m**2 + 32*m + 32 = 0.
-4/3, -1, 2, 4
Find f such that 14*f**3 + 142*f**2 + 308*f = 0.
-7, -22/7, 0
Suppose 10*f**4/3 + 142*f**3 - 1072*f**2/3 + 120*f = 0. Calculate f.
-45, 0, 2/5, 2
Factor -2*x**3/13 - 32*x**2/13 - 122*x/13 - 132/13.
-2*(x + 2)*(x + 3)*(x + 11)/13
Determine y so that -y**5/2 - 19*y**4/4 + 41*y**3/2 - 28*y**2 + 16*y - 13/4 = 0.
-13, 1/2, 1
Factor -3*i**5 + 6*i**4 + 60*i**3 + 72*i**2.
-3*i**2*(i - 6)*(i + 2)**2
Determine z, given that 3*z**2 - 339*z + 1620 = 0.
5, 108
Factor 864*b**4 + 22896*b**3 - 60840*b**2 + 51700*b - 14500.
4*(b + 29)*(6*b - 5)**3
Determine o so that 14*o**5/19 + 18*o**4/19 - 122*o**3/19 