a + 3)*(a + 49)**2
Factor u**3 + 1758*u**2 + 1030188*u + 201230056.
(u + 586)**3
Determine v, given that -v**3/2 - 9*v**2 - 17*v/2 = 0.
-17, -1, 0
Let 3*r**3 - 4*r**2 - 13*r - 6 = 0. Calculate r.
-1, -2/3, 3
Suppose 4*s**5 - 76*s**4 + 492*s**3 - 1204*s**2 + 784*s = 0. Calculate s.
0, 1, 4, 7
Find x, given that -2*x**4/5 + 58*x**3/5 - 162*x**2/5 + 158*x/5 - 52/5 = 0.
1, 26
Find y such that y**5/6 + y**4/6 - 17*y**3/6 + 5*y**2/2 = 0.
-5, 0, 1, 3
Solve i**4/4 + i**3/2 - 7*i**2 - 2*i + 24 = 0 for i.
-6, -2, 2, 4
Factor g**2 + 3408*g + 2903616.
(g + 1704)**2
Factor -3844*u**2 + 496*u - 16.
-4*(31*u - 2)**2
Determine b, given that 2*b**2/23 + 124*b/23 = 0.
-62, 0
Factor j**3 - 35*j**2 - 957*j + 33759.
(j - 33)**2*(j + 31)
Factor -2*a**5 - 76*a**4 - 146*a**3 - 72*a**2.
-2*a**2*(a + 1)**2*(a + 36)
Factor -d**3/2 - 15*d**2 - 225*d/2.
-d*(d + 15)**2/2
Determine x so that 4*x**4 + 408*x**3 - 2544*x**2 + 5152*x - 3456 = 0.
-108, 2
Factor 3*w**3/2 + 6*w**2.
3*w**2*(w + 4)/2
What is z in -5*z**4 + 25*z**3 + 215*z**2 - 265*z - 450 = 0?
-5, -1, 2, 9
What is z in -32*z**5/3 - 176*z**4/3 - 194*z**3/3 + 4*z**2/3 + 46*z/3 - 8/3 = 0?
-4, -1, 1/4
Let -3*x**2/2 + 858*x - 5121/2 = 0. What is x?
3, 569
Suppose i**4/6 + 25*i**3/3 + 13*i**2/6 - 2550*i + 15606 = 0. What is i?
-34, 9
Let b**5/5 + 49*b**4/5 - 582*b**3/5 + 482*b**2/5 + 581*b/5 - 531/5 = 0. What is b?
-59, -1, 1, 9
Factor -3*y**2 - 792*y - 52272.
-3*(y + 132)**2
Solve 5*b**2/3 - 110*b/3 + 200/3 = 0 for b.
2, 20
Solve 5*p**3/3 + 14*p**2/3 - p = 0.
-3, 0, 1/5
Factor 2*z**2 - 130*z.
2*z*(z - 65)
Suppose 2*p**2/9 + 430*p/3 - 6500/9 = 0. What is p?
-650, 5
Factor -2*l**4 + 32*l**3 - 138*l**2 - 20*l + 800.
-2*(l - 8)*(l - 5)**2*(l + 2)
Determine v so that -2*v**5 - 8*v**4 + 24*v**3 + 108*v**2 - 54*v - 324 = 0.
-3, 2, 3
Factor z**5/4 + z**4 + z**3 - z**2/2 - 5*z/4 - 1/2.
(z - 1)*(z + 1)**3*(z + 2)/4
Solve 12681*i**2 + 25356*i - 12 = 0.
-2, 2/4227
Solve 45*t**5 - 340*t**4 + 515*t**3 + 660*t**2 - 560*t - 320 = 0.
-1, -4/9, 1, 4
Let 3*y**2/8 + 969*y/2 = 0. What is y?
-1292, 0
Factor z**3/4 + 33*z**2 + 252*z + 496.
(z + 4)**2*(z + 124)/4
Solve -21*f**4 + 246*f**3 + 93*f**2 - 246*f - 72 = 0 for f.
-1, -2/7, 1, 12
Let -f**2 - 78*f - 77 = 0. What is f?
-77, -1
Factor 4*z**4 + 3284*z**3 + 19608*z**2 + 39152*z + 26080.
4*(z + 2)**3*(z + 815)
Determine k, given that -2*k**4/5 + 96*k**3/5 - 50*k**2 - 180*k = 0.
-2, 0, 5, 45
Factor 3*y**4 + 81*y**3 - 744*y**2 - 22572*y + 23232.
3*(y - 16)*(y - 1)*(y + 22)**2
Solve n**3 - 59*n**2 + 215*n + 275 = 0 for n.
-1, 5, 55
Suppose -5*g**3 - 165*g**2 - 1575*g - 3375 = 0. What is g?
-15, -3
Factor -q**3 + 47*q**2 + 50*q - 96.
-(q - 48)*(q - 1)*(q + 2)
Factor 65*k**3 - 530*k**2 + 535*k - 70.
5*(k - 7)*(k - 1)*(13*k - 2)
Factor t**2/3 - 6724*t/3 + 11303044/3.
(t - 3362)**2/3
Factor -n**4/5 - n**3/5 + n**2/5 + n/5.
-n*(n - 1)*(n + 1)**2/5
Find x, given that x**4 - 11*x**3 - 11*x**2 + 255*x - 450 = 0.
-5, 3, 10
What is g in 22*g**5 + 409*g**4/6 + 145*g**3/3 - 5*g**2/2 - 16*g/3 - 2/3 = 0?
-2, -1, -1/4, -2/11, 1/3
Suppose -35*r**4/4 + 75*r**3/2 + 205*r**2/4 - 105*r + 25 = 0. Calculate r.
-2, 2/7, 1, 5
Suppose -5*p**4/2 - 177*p**3/2 - 120*p**2 - 34*p = 0. What is p?
-34, -1, -2/5, 0
Let 10*z**2/11 + 2*z + 4/11 = 0. Calculate z.
-2, -1/5
Factor 2*m**2/7 - 118*m/7 - 120/7.
2*(m - 60)*(m + 1)/7
Determine x, given that -3*x**2/5 - 72*x + 2268/5 = 0.
-126, 6
Suppose -m**4/4 - 5*m**3/2 - 2*m**2 + 5*m/2 + 9/4 = 0. Calculate m.
-9, -1, 1
Factor -2*a**2 - 2*a.
-2*a*(a + 1)
Suppose -3*i**5 - 99*i**4 - 945*i**3 - 2025*i**2 = 0. What is i?
-15, -3, 0
Factor -459*f**3 - 444*f**2 + 15*f.
-3*f*(f + 1)*(153*f - 5)
Solve y**2/2 + 77*y/2 + 111 = 0 for y.
-74, -3
Factor 3*h**3 - 381*h**2 + 753*h - 375.
3*(h - 125)*(h - 1)**2
Factor 2*d**2 + 36*d.
2*d*(d + 18)
Determine q so that -2*q**3/7 - 68*q**2/7 + 830*q/7 - 2200/7 = 0.
-44, 5
Find l, given that 3*l**3 - 144*l**2 + 1581*l - 1440 = 0.
1, 15, 32
Factor -x**3 + 19*x**2/3 + 190*x/3 + 56.
-(x - 12)*(x + 1)*(3*x + 14)/3
Find v such that -2*v**4/13 + 10*v**3/13 + 32*v**2/13 - 136*v/13 + 96/13 = 0.
-4, 1, 2, 6
Solve 4*g**3 - 92*g**2 - 3028*g + 3116 = 0 for g.
-19, 1, 41
Let 4*b**2/7 + 16*b/7 + 12/7 = 0. What is b?
-3, -1
Let 242*j**5/5 - 1496*j**4/5 + 266*j**3/5 + 7732*j**2/5 - 1408*j/5 + 64/5 = 0. What is j?
-2, 1/11, 4
Suppose -2*q**4/3 + 2*q**3 + 2*q**2 - 14*q/3 - 4 = 0. What is q?
-1, 2, 3
Solve -2*m**3 - 44*m**2 + 46*m = 0.
-23, 0, 1
Factor 4*z**3 + 24*z**2 + 36*z + 16.
4*(z + 1)**2*(z + 4)
Factor -14*k**5/5 + 32*k**4/5 - 8*k**3/5.
-2*k**3*(k - 2)*(7*k - 2)/5
Factor l**3/2 - 9*l**2/2 - l/2 + 9/2.
(l - 9)*(l - 1)*(l + 1)/2
Factor -2*v**3/7 - 18*v**2/7 - 48*v/7 - 32/7.
-2*(v + 1)*(v + 4)**2/7
Let 5*l**4 - 33*l**3 + 55*l**2 + 21*l - 72 = 0. Calculate l.
-1, 8/5, 3
Factor -s**2 + 686*s - 117649.
-(s - 343)**2
Factor -2*m**2/3 - 28*m - 294.
-2*(m + 21)**2/3
Suppose 4*t**4 + 12*t**3 - 4*t**2 - 12*t = 0. What is t?
-3, -1, 0, 1
Suppose -2*m**3/3 + 136*m**2 - 6936*m = 0. Calculate m.
0, 102
Determine w so that 5*w**2/2 + 4*w/3 - 22/3 = 0.
-2, 22/15
Let -4*g**3 + 8*g**2 = 0. Calculate g.
0, 2
Solve x**5 - 2*x**4 - 8*x**3 - 2*x**2 + 7*x + 4 = 0 for x.
-1, 1, 4
Factor -2*t**3 - 734*t**2 - 728*t + 1464.
-2*(t - 1)*(t + 2)*(t + 366)
Factor -40*y**2 + 5*y + 45.
-5*(y + 1)*(8*y - 9)
Suppose 5*s**2 + 500*s - 6720 = 0. Calculate s.
-112, 12
Factor h**2 + 39*h + 378.
(h + 18)*(h + 21)
Factor 3*b**4 - 63*b**3 + 57*b**2 + 63*b - 60.
3*(b - 20)*(b - 1)**2*(b + 1)
Suppose l**3/10 + 31*l**2/10 + 19*l/2 - 2527/10 = 0. What is l?
-19, 7
Factor 45*j**2/2 + 5*j.
5*j*(9*j + 2)/2
Let -2*w**4/3 + 8*w**3/3 = 0. What is w?
0, 4
Factor -4*f**3 + 136*f**2.
-4*f**2*(f - 34)
Suppose -4*x**5 - 104*x**4/7 + 116*x**3/7 + 256*x**2/7 - 304*x/7 + 64/7 = 0. Calculate x.
-4, -2, 2/7, 1
Suppose 45*z**5 + 18420*z**4 + 1897220*z**3 + 2505120*z**2 + 832320*z = 0. What is z?
-204, -2/3, 0
Suppose 4*a**2 - 13752*a + 11819844 = 0. Calculate a.
1719
Suppose 4*a**5 - 208*a**4 + 3068*a**3 - 9008*a**2 - 3072*a + 9216 = 0. What is a?
-1, 1, 4, 24
Let -2*o**2/15 + 4*o/5 - 2/3 = 0. What is o?
1, 5
Solve 2*d**5/9 - 26*d**4/3 + 1028*d**3/9 - 1624*d**2/3 + 3920*d/9 = 0 for d.
0, 1, 10, 14
Factor 5*q**4/2 + 53*q**3/2 + 34*q**2 - 18*q.
q*(q + 2)*(q + 9)*(5*q - 2)/2
Let 4*j**3/9 + 356*j**2/9 - 16*j/9 - 1424/9 = 0. Calculate j.
-89, -2, 2
Suppose -q**5/3 + 26*q**4/3 - 47*q**3 - 364*q**2/3 - 196*q/3 = 0. Calculate q.
-1, 0, 14
Factor -u**2/2 + u + 15/2.
-(u - 5)*(u + 3)/2
Factor 4*r**2 - 26512*r + 43930384.
4*(r - 3314)**2
Suppose 2*g**2 - 8302*g - 8304 = 0. What is g?
-1, 4152
Factor -3*s**2/7 + 51*s/7 - 18.
-3*(s - 14)*(s - 3)/7
Factor -b**3/6 - 7*b**2/3 - 7*b/2 + 6.
-(b - 1)*(b + 3)*(b + 12)/6
Solve -30*y**5 - 175*y**4 - 370*y**3 - 345*y**2 - 140*y - 20 = 0 for y.
-2, -1, -1/2, -1/3
Solve 3*v**4/11 - v**3/11 - 39*v**2/11 + 49*v/11 - 12/11 = 0 for v.
-4, 1/3, 1, 3
Factor -t**2 - 6*t - 5.
-(t + 1)*(t + 5)
Factor 2*r**2/9 - 2*r/9.
2*r*(r - 1)/9
Suppose 10*k**2/7 - 52*k/7 + 10/7 = 0. What is k?
1/5, 5
Factor -i**4/2 + 77*i**3/2 - 1443*i**2/2 - 1521*i/2.
-i*(i - 39)**2*(i + 1)/2
Factor x**2 - 7*x - 60.
(x - 12)*(x + 5)
Let r**3/4 + 5*r**2 + 9*r = 0. Calculate r.
-18, -2, 0
Let -2*f**5/3 - 52*f**4/3 - 130*f**3 - 236*f**2/3 + 4280*f/3 - 1200 = 0. What is f?
-10, -9, 1, 2
Solve k**2/3 + 13*k/3 + 4 = 0 for k.
-12, -1
Solve -5*w**4 - 70*w**3 - 365*w**2 - 840*w - 720 = 0.
-4, -3
Suppose -5*u**4/2 - 5*u**3/6 + 35*u**2/2 - 55*u/6 - 5 = 0. Calculate u.
-3, -1/3, 1, 2
Factor 2*j**3 + 216*j**2 - 438*j + 220.
2*(j - 1)**2*(j + 110)
Factor -k**3 - 534*k**2 - 70752*k + 143648.
-(k - 2)*(k + 268)**2
Factor 2*b**2/11 - 24*b/11 - 56/11.
2*(b - 14)*(b + 2)/11
Factor 15*y**3 + 160*y**2 - 915*y + 900.
5*(y - 3)*(y + 15)*(3*y - 4)
Suppose -p**4/2 - 3*p**3 + 19*p**2/2 + 12*p = 0. Calculate p.
-8, -1, 0, 3
Suppose q**3/3 - 19*q**2 + 158*q/3 + 72 = 0. Calculate q.
-1, 4, 54
Factor 4*h**2/5 - 152*h/5 + 148/5.
4*(h - 37)*(h - 1)/5
Factor -2*t**3 - 20*t**2 - 64*t - 64.
-2*(t + 2)*(t + 4)**2
Solve -867*d**2 - 2598*d + 9 = 0.
-3, 1/289
Factor 5*w**2 - 1833*w - 734.
(w - 367)*(5*w + 2)
Factor i**2 + 12*i - 13.
(i - 1)*(i + 13)
Determine c, given that -3*c**5 - 72*c**4 + 249*c**3 + 126*c**2 - 948*c + 648 = 0.
-27, -2, 1, 2
Solve 2*u**5/19 + 78*u**4/19 - 1