- 27*u**2/8 + 3*u/8 + 3/8 = 0 for u.
-1/4, 1
Solve -4*j**3 + 20*j**2 + 132*j + 108 = 0 for j.
-3, -1, 9
Determine a, given that 3*a**4/5 - 27*a**3/5 - 3*a**2/5 + 27*a/5 = 0.
-1, 0, 1, 9
Factor o**2 + 148*o + 147.
(o + 1)*(o + 147)
Let -v**3/2 + 3*v**2/2 + 45*v/2 + 81/2 = 0. Calculate v.
-3, 9
Factor -10*k**2 + 46*k + 56.
-2*(k + 1)*(5*k - 28)
What is s in 2*s**2/19 + 28*s/19 - 102/19 = 0?
-17, 3
What is f in -2*f**3 - 32*f**2 - 40*f + 224 = 0?
-14, -4, 2
Determine w so that -2*w**5/13 + 4*w**3/13 - 2*w/13 = 0.
-1, 0, 1
Solve -3*c**3/4 - 99*c**2/2 - 2835*c/4 + 3675 = 0.
-35, 4
Determine m, given that 5*m**4 + 145*m**3 + 710*m**2 - 4740*m + 5400 = 0.
-18, -15, 2
Factor 2*x**4 - 108*x**3 - 224*x**2.
2*x**2*(x - 56)*(x + 2)
Factor s**4/4 + 3*s**3/2 - 7*s**2/4.
s**2*(s - 1)*(s + 7)/4
Factor 8*k**2/13 - 966*k/13 + 720/13.
2*(k - 120)*(4*k - 3)/13
Suppose -6*b**3 - 58*b**2 + 276*b + 208 = 0. Calculate b.
-13, -2/3, 4
Solve 3*k**5/2 - 65*k**4/2 - 209*k**3 - 201*k**2 + 639*k/2 + 243/2 = 0.
-3, -1/3, 1, 27
Factor -o**4 - 15*o**3 - 48*o**2 + 64*o.
-o*(o - 1)*(o + 8)**2
Factor 2*k**5/3 - 2*k**4/3 - 12*k**3 + 100*k**2/3 - 94*k/3 + 10.
2*(k - 3)*(k - 1)**3*(k + 5)/3
Factor -3*v**2 - 1305*v - 1302.
-3*(v + 1)*(v + 434)
Solve 5*v**4/3 + 3715*v**3/3 - 3730*v**2 + 20*v/3 + 14920/3 = 0 for v.
-746, -1, 2
Let -50*d**5/3 - 170*d**4/3 - 212*d**3/3 - 116*d**2/3 - 26*d/3 - 2/3 = 0. Calculate d.
-1, -1/5
Factor -4*y**4 - 4*y**3 + 40*y**2 + 16*y - 96.
-4*(y - 2)**2*(y + 2)*(y + 3)
Factor l**4/8 - 19*l**3/2 + 1517*l**2/8 - 1369*l/4.
l*(l - 37)**2*(l - 2)/8
Factor 2028*n**4 + 3900*n**3 + 1719*n**2 - 150*n + 3.
3*(n + 1)**2*(26*n - 1)**2
Suppose -2*a**2/9 + 16*a - 46 = 0. What is a?
3, 69
Solve -g**4 - g**3 + 3*g**2 + 5*g + 2 = 0 for g.
-1, 2
Factor 3*a**2 - 9*a/8.
3*a*(8*a - 3)/8
Find y, given that 3*y**3 + 26*y**2 - 83*y - 66 = 0.
-11, -2/3, 3
Factor -2*t**5 + 40*t**4 - 212*t**3 + 416*t**2 - 346*t + 104.
-2*(t - 13)*(t - 4)*(t - 1)**3
Factor -i**3/8 + 5*i**2/4 - 13*i/8 - 3.
-(i - 8)*(i - 3)*(i + 1)/8
Let -5*d**2 - 410*d - 405 = 0. Calculate d.
-81, -1
Determine b, given that -2*b**2/5 + 4846*b/5 - 4844/5 = 0.
1, 2422
Factor 4*y**4 - 184*y**3 + 528*y**2 - 520*y + 172.
4*(y - 43)*(y - 1)**3
Factor 3*t**5 - 72*t**4 + 636*t**3 - 2448*t**2 + 3456*t.
3*t*(t - 8)*(t - 6)**2*(t - 4)
Factor 3*x**2/5 - 189*x/5 - 78.
3*(x - 65)*(x + 2)/5
Factor 2*o**4 - 536*o**3 + 35912*o**2.
2*o**2*(o - 134)**2
Let g**3/5 + 64*g**2/5 - 339*g/5 + 414/5 = 0. Calculate g.
-69, 2, 3
Determine w so that -453*w**2 + 900*w + 12 = 0.
-2/151, 2
Factor 2*n**2/13 - 118*n/13 + 116/13.
2*(n - 58)*(n - 1)/13
Determine y, given that -5*y**4/3 + 35*y**3/3 - 70*y**2/3 + 40*y/3 = 0.
0, 1, 2, 4
Suppose -49*h**2/5 - 14*h/5 - 1/5 = 0. What is h?
-1/7
Find u, given that u**4/3 - 2*u**3 + 4*u**2 - 10*u/3 + 1 = 0.
1, 3
Let -3*s**2 + 1284*s - 137388 = 0. Calculate s.
214
Factor 3*z**4 + 2358*z**3 + 465687*z**2 + 914928*z - 1382976.
3*(z - 1)*(z + 3)*(z + 392)**2
Determine o, given that o**2 - 3*o - 154 = 0.
-11, 14
Factor f**2 - 260*f + 16900.
(f - 130)**2
Find r such that -2*r**5/7 + 6*r**4/7 + 82*r**3/7 - 246*r**2/7 - 440*r/7 + 600/7 = 0.
-6, -2, 1, 5
Factor -l**4/9 - 166*l**3/9 - 55*l**2/3.
-l**2*(l + 1)*(l + 165)/9
Solve -3*d**5 - 33*d**4 - 45*d**3 + 297*d**2 + 648*d = 0.
-8, -3, 0, 3
Determine m, given that -14*m**2 - 1664*m - 346112/7 = 0.
-416/7
Solve 2*l**5 - 92*l**4 + 1134*l**3 - 5580*l**2 + 11016*l - 6480 = 0 for l.
1, 3, 6, 30
Factor -3*f**3 + 264*f**2 - 5808*f.
-3*f*(f - 44)**2
Factor -2*l**5 + 294*l**4 - 16476*l**3 + 439508*l**2 - 5620770*l + 27778950.
-2*(l - 45)**2*(l - 19)**3
Factor 4*f**2 + 868*f + 2568.
4*(f + 3)*(f + 214)
What is v in 4*v**5/3 + 4*v**4/3 - 8*v**3 - 16*v**2/3 + 32*v/3 = 0?
-2, 0, 1, 2
Let 3*l**3/7 + 75*l**2/7 + 282*l/7 - 360/7 = 0. Calculate l.
-20, -6, 1
Determine t, given that 5*t**5 + 10*t**4 - 25*t**3 - 30*t**2 = 0.
-3, -1, 0, 2
Solve 3*m**5/7 - 9*m**4/7 - 9*m**3/7 + 33*m**2/7 - 18*m/7 = 0 for m.
-2, 0, 1, 3
Factor -375*b**5 - 350*b**4 - 100*b**3 - 8*b**2.
-b**2*(5*b + 2)**2*(15*b + 2)
Find l, given that 2*l**5/13 + 6*l**4/13 - 8*l**2/13 = 0.
-2, 0, 1
What is r in -27*r**3 - 132*r**2 + 27*r + 132 = 0?
-44/9, -1, 1
Factor i**5/4 + 15*i**4/2 - 100*i**3.
i**3*(i - 10)*(i + 40)/4
Factor 5*a**3/3 - 95*a**2/3 - 380*a/3 + 1100/3.
5*(a - 22)*(a - 2)*(a + 5)/3
Factor -4*s**2 - 4348*s + 8712.
-4*(s - 2)*(s + 1089)
Determine i so that -5*i**2 + 5970*i - 1782045 = 0.
597
What is b in 2*b**5/7 + 212*b**4/7 + 610*b**3/7 - 824*b**2/7 = 0?
-103, -4, 0, 1
Factor -4*h**3 + 56*h**2 - 260*h + 400.
-4*(h - 5)**2*(h - 4)
Factor -w**3 + 117*w**2 - 231*w + 115.
-(w - 115)*(w - 1)**2
Factor -4*w**3 + 36*w**2 - 96*w + 64.
-4*(w - 4)**2*(w - 1)
Solve 3*r**3 + 5805*r**2 + 3744225*r + 805008375 = 0.
-645
Factor -3*r**4 + 624*r**3 - 42174*r**2 + 846888*r + 5368665.
-3*(r - 71)**3*(r + 5)
Find v, given that 1445*v**4 + 10880*v**3 + 4755*v**2 - 4120*v + 560 = 0.
-7, -1, 4/17
Factor 98*w**2 + 2544*w - 104.
2*(w + 26)*(49*w - 2)
Factor -i**3 - 57*i**2 - 1083*i - 6859.
-(i + 19)**3
Find o, given that 2*o**3/7 + 372*o**2/7 - 54*o - 748/7 = 0.
-187, -1, 2
Factor -11*u**2/6 + 157*u/2 + 43/3.
-(u - 43)*(11*u + 2)/6
Solve 5*t**3 - 360*t**2 - 1505*t - 1140 = 0.
-3, -1, 76
Suppose -45*p**5 + 1230*p**4 - 7205*p**3 + 12520*p**2 - 8500*p + 2000 = 0. Calculate p.
2/3, 1, 5, 20
Solve 3*w**3 - 108*w**2 + 753*w - 648 = 0.
1, 8, 27
Factor 2*k**2/19 + 18*k/19 + 28/19.
2*(k + 2)*(k + 7)/19
Suppose s**2/5 - 22*s/5 = 0. Calculate s.
0, 22
Factor -5*x**2 - 30*x - 45.
-5*(x + 3)**2
Factor f**3 - 2656*f**2 + 1766237*f - 3521858.
(f - 1327)**2*(f - 2)
Factor 5*r**4 + 35*r**3 - 265*r**2 + 405*r - 180.
5*(r - 3)*(r - 1)**2*(r + 12)
Find m, given that 3*m**4/8 - 9*m**3/4 + 15*m**2/8 = 0.
0, 1, 5
Factor -11*h**3 - 8*h**2 + 3*h.
-h*(h + 1)*(11*h - 3)
What is k in 5*k**3 + 615*k**2 + 24255*k + 300125 = 0?
-49, -25
Determine n, given that -3*n**2/7 - 24678*n/7 - 50750307/7 = 0.
-4113
Factor 4*s**2 - 136*s + 132.
4*(s - 33)*(s - 1)
Factor 5*n**5 - 110*n**4 + 860*n**3 - 2650*n**2 + 1375*n + 5000.
5*(n - 8)*(n - 5)**3*(n + 1)
Factor f**5/3 - 19*f**4/3 + 115*f**3/3 - 241*f**2/3 + 208*f/3 - 64/3.
(f - 8)**2*(f - 1)**3/3
Let -4*g**3 - 100*g**2 - 72*g + 576 = 0. Calculate g.
-24, -3, 2
Suppose g**5 - 9*g**4 - 12*g**3 + 124*g**2 - 144*g = 0. What is g?
-4, 0, 2, 9
Solve -2*k**3 + 88*k**2 = 0.
0, 44
Let 2*b**4 - 2*b**3 - 20*b**2 - 16*b = 0. What is b?
-2, -1, 0, 4
Determine y, given that -2*y**2 - 10*y + 100 = 0.
-10, 5
Find h, given that -75*h**5 - 505*h**4 + 7960*h**3 - 19940*h**2 + 2720*h + 4800 = 0.
-15, -2/5, 2/3, 4
Solve -49*w**5/3 - 42*w**4 + 323*w**3 - 302*w**2/3 - 140*w - 24 = 0.
-6, -2/7, 1, 3
Factor 4*v**3 - 20*v**2 + 24*v.
4*v*(v - 3)*(v - 2)
Find j such that 9*j**3 + 42*j**2 + 205*j/4 + 75/4 = 0.
-3, -5/6
What is g in -g**3/2 - 3*g**2 - 11*g/2 - 3 = 0?
-3, -2, -1
Solve q**5 - 4*q**4 - 9*q**3 + 16*q**2 + 20*q = 0 for q.
-2, -1, 0, 2, 5
Factor -2*x**2/7 - 306*x/7 - 4140/7.
-2*(x + 15)*(x + 138)/7
Solve -v**2 + 31*v + 222 = 0.
-6, 37
Solve 38*c**4/7 + 44*c**3/7 - 10*c**2 - 12*c/7 = 0 for c.
-2, -3/19, 0, 1
Factor t**5 - 9*t**4 + 20*t**3 - 12*t**2.
t**2*(t - 6)*(t - 2)*(t - 1)
Let 3*y**2/2 + 105*y + 3675/2 = 0. What is y?
-35
Factor x**5 + 5*x**4/4 + x**3/4.
x**3*(x + 1)*(4*x + 1)/4
Find l, given that -14*l**3 - 64*l**2 - 32*l = 0.
-4, -4/7, 0
Factor 2*p**2 - 308*p + 11858.
2*(p - 77)**2
Factor -4*l**4 + 4*l**3 + 48*l**2.
-4*l**2*(l - 4)*(l + 3)
Factor 4*y**2 - 44*y + 96.
4*(y - 8)*(y - 3)
Factor 2*t**3 - 56*t**2 - 544*t - 1152.
2*(t - 36)*(t + 4)**2
Determine x, given that 2*x**4 + 8*x**3 - 14*x**2 - 20*x = 0.
-5, -1, 0, 2
Determine d, given that -2*d**4 - 18*d**3 - 6*d**2 + 74*d - 48 = 0.
-8, -3, 1
Solve 2*g**2/3 + 32*g/3 + 42 = 0 for g.
-9, -7
Solve -2*b**5/3 - 76*b**4 - 1322*b**3/3 - 944*b**2 - 2600*b/3 - 288 = 0 for b.
-108, -2, -1
Find i, given that -5*i**3 - 10*i**2 + 25*i + 30 = 0.
-3, -1, 2
What is s in 3*s**4/8 - 3*s**3/4 - 18*s**2 + 195*s/4 + 525/8 = 0?
-7, -1, 5
Factor -2*m**2/19 - 7612*m/19 - 7242818/19.
-2*(m + 1903)**2/19
Suppose 2*l**2/3 - 16*l/3 - 418/3 = 0. What is l?
-11, 19
Solve 2*k**2/9 - 56*k/9 + 104/9 = 0.
2, 26
Find o such that -4*o**2 - 28*o + 32 = 0.
-8, 1
Factor a**5 - 36*a**4 + 464*a**3 - 2486*a**2 + 4719*a - 266