*4 + 32*y**3 + 40*y**2 - 36*y.
4*y*(y - 9)*(y - 1)**2*(y + 1)
Factor 5*a**2 - 580*a + 16820.
5*(a - 58)**2
Solve 2*z**2/5 - 372*z/5 + 74 = 0 for z.
1, 185
Factor 2*l**2 - 16*l/7.
2*l*(7*l - 8)/7
Factor -5*h**2 - 560*h - 555.
-5*(h + 1)*(h + 111)
Factor 4*g**3 + 68*g**2 - 71*g + 18.
(g + 18)*(2*g - 1)**2
Determine d, given that -d**2 - 5*d + 36 = 0.
-9, 4
Determine q, given that 4*q**4/5 - q**3/5 - 4*q**2/5 + q/5 = 0.
-1, 0, 1/4, 1
Solve 4*b**5 + 1584*b**4 + 209088*b**3 + 9199872*b**2 = 0.
-132, 0
Solve -2*i**4/7 - 6*i**3/7 - 4*i**2/7 = 0 for i.
-2, -1, 0
Solve -2*i**2 + 456*i - 454 = 0 for i.
1, 227
Factor -3*n**3/5 - 99*n**2/5 - 276*n/5 - 36.
-3*(n + 1)*(n + 2)*(n + 30)/5
Find r, given that 115*r**5 - 1370*r**4 + 2295*r**3 + 9640*r**2 + 6340*r + 480 = 0.
-1, -2/23, 6, 8
Factor 6*t**2 - 1982*t/3 - 592.
2*(t - 111)*(9*t + 8)/3
Factor i**2 - 48*i - 868.
(i - 62)*(i + 14)
Factor p**5 - 4*p**3.
p**3*(p - 2)*(p + 2)
Factor 3*u**2 - 456*u - 459.
3*(u - 153)*(u + 1)
What is l in 2*l**2 - 32 = 0?
-4, 4
Factor -2*t**3/3 - 238*t**2/3 - 6710*t/3 + 7442.
-2*(t - 3)*(t + 61)**2/3
What is y in y**2/5 - 23*y/5 + 22/5 = 0?
1, 22
Factor 2*h**2/5 + 10*h.
2*h*(h + 25)/5
Factor 4*o**4 + 904*o**3 + 50164*o**2 - 103056*o + 51984.
4*(o - 1)**2*(o + 114)**2
Find a, given that -54*a**5/17 - 108*a**4/17 - 72*a**3/17 - 16*a**2/17 = 0.
-2/3, 0
Solve -4*p**3 + 76*p**2 - 220*p - 1452 = 0.
-3, 11
Suppose 6*f**4 - 123*f**3 - 69*f**2 + 123*f + 63 = 0. Calculate f.
-1, -1/2, 1, 21
Let 115*n**4/3 + 250*n**3/3 - 535*n**2/3 - 790*n/3 - 40 = 0. Calculate n.
-3, -1, -4/23, 2
Factor 35*n**3 - 1625*n**2 + 19205*n - 7935.
5*(n - 23)**2*(7*n - 3)
What is g in g**2/5 + 292*g/5 + 291/5 = 0?
-291, -1
Let -2*z**3/11 - 188*z**2/11 + 190*z/11 = 0. Calculate z.
-95, 0, 1
Determine m, given that -4*m**4 - 52*m**3 - 252*m**2 - 540*m - 432 = 0.
-4, -3
Determine z, given that 2*z**4 - 80*z**3 - 166*z**2 - 84*z = 0.
-1, 0, 42
Factor -15*y**2 + 425*y - 140.
-5*(y - 28)*(3*y - 1)
Factor 28*s**5 + 324*s**4 + 932*s**3 + 1132*s**2 + 624*s + 128.
4*(s + 1)**3*(s + 8)*(7*s + 4)
Factor 8*t**2/13 - 382*t/13 - 136.
2*(t - 52)*(4*t + 17)/13
What is x in -3*x**3/8 - 33*x**2/4 + 303*x/8 - 117/4 = 0?
-26, 1, 3
Determine m, given that -m**4/4 + 59*m**3/4 = 0.
0, 59
What is k in -4*k**3/9 - 4*k**2/3 + 64*k/9 - 16/3 = 0?
-6, 1, 2
Solve 4*p**3/7 + 88*p**2/7 - 1196*p/7 + 384 = 0 for p.
-32, 3, 7
Factor -9*z**3 - 105*z**2 - 288*z + 108.
-3*(z + 6)**2*(3*z - 1)
Let -3*s**2/2 + 1233*s - 506763/2 = 0. What is s?
411
Factor p**3/10 - 2*p**2/5 - 2*p/5 + 8/5.
(p - 4)*(p - 2)*(p + 2)/10
Determine s so that -3*s**5 + 27*s**4 + 39*s**3 - 87*s**2 - 36*s + 60 = 0.
-2, -1, 1, 10
Factor -d**2/3 + 2*d/3 - 1/3.
-(d - 1)**2/3
Factor 5*v**3 - 220*v**2 + 205*v + 430.
5*(v - 43)*(v - 2)*(v + 1)
Factor 2*w**3/3 - 16*w**2/3 + 40*w/3 - 32/3.
2*(w - 4)*(w - 2)**2/3
Factor -78*n**3 - 74*n**2 + 4*n.
-2*n*(n + 1)*(39*n - 2)
Find r such that 4*r**2 + 1224*r - 1228 = 0.
-307, 1
Factor g**5/3 - 40*g**3/3 + 160*g**2/3 - 80*g + 128/3.
(g - 2)**4*(g + 8)/3
Factor -25*a**2 - 40*a + 1140.
-5*(a - 6)*(5*a + 38)
Suppose -5*i**4 + 385*i**3 - 1090*i**2 - 1480*i = 0. What is i?
-1, 0, 4, 74
Factor -5*v**3 + 170*v**2 + 1155*v + 1800.
-5*(v - 40)*(v + 3)**2
Solve t**2/2 + 181*t/2 - 91 = 0.
-182, 1
What is j in 2*j**3/3 - 142*j**2/3 + 278*j/3 - 46 = 0?
1, 69
Factor s**3/6 - 9*s**2/2 + 19*s - 44/3.
(s - 22)*(s - 4)*(s - 1)/6
Solve -5145*m**4 - 5390*m**3 - 2065*m**2 - 340*m - 20 = 0 for m.
-1/3, -2/7, -1/7
Factor 3*m**5 - 75*m**4 - 330*m**3 - 510*m**2 - 345*m - 87.
3*(m - 29)*(m + 1)**4
Factor -5*r**2 - 181*r + 148.
-(r + 37)*(5*r - 4)
Suppose -2*k**5/7 + 96*k**4/7 - 276*k**3/7 + 272*k**2/7 - 90*k/7 = 0. Calculate k.
0, 1, 45
Solve 14*s**3/3 - 16*s**2/3 + 2*s/3 = 0 for s.
0, 1/7, 1
Suppose m**2/7 + 99*m/7 - 100/7 = 0. Calculate m.
-100, 1
Solve 2*v**4 - 20*v**3 - 182*v**2 - 184*v + 384 = 0.
-4, -3, 1, 16
Find t such that -t**2/5 + 98*t/5 - 2401/5 = 0.
49
Factor -5*j**4 - 27*j**3 - 40*j**2 - 12*j.
-j*(j + 2)*(j + 3)*(5*j + 2)
Let d**3/8 - 63*d**2/8 + 120*d + 128 = 0. Calculate d.
-1, 32
Solve g**2 + 63*g + 180 = 0 for g.
-60, -3
Find m, given that -2*m**4 + m**3 + 5*m**2 + 2*m = 0.
-1, -1/2, 0, 2
Factor i**2/4 - 5*i - 24.
(i - 24)*(i + 4)/4
Factor g**3 + 63*g**2 + 1296*g + 8748.
(g + 18)**2*(g + 27)
Determine k so that 18*k**5/11 + 80*k**4/11 + 140*k**3/11 + 120*k**2/11 + 50*k/11 + 8/11 = 0.
-1, -4/9
Let 2*b**3/3 + 12*b**2 - 80*b/3 = 0. Calculate b.
-20, 0, 2
Factor -3*z**5/4 + 15*z**4/4 - 6*z**3 + 3*z**2.
-3*z**2*(z - 2)**2*(z - 1)/4
Determine i, given that 2*i**5/7 + 48*i**4/7 = 0.
-24, 0
What is y in -2*y**4/3 - 4*y**3 - 10*y**2/3 + 16*y + 24 = 0?
-3, -2, 2
Solve -135*t**4 - 285*t**3 - 20*t**2 + 20*t = 0.
-2, -1/3, 0, 2/9
Let -k**3 - 29*k**2 + 365*k - 975 = 0. Calculate k.
-39, 5
Factor -2*z**3 + 16*z**2 + 122*z + 104.
-2*(z - 13)*(z + 1)*(z + 4)
Factor 18*c**4/13 - 74*c**3/13 + 114*c**2/13 - 6*c + 20/13.
2*(c - 1)**3*(9*c - 10)/13
Suppose 3249*s**4 + 9348*s**3 + 7636*s**2 + 1312*s + 64 = 0. What is s?
-4/3, -2/19
What is s in -3*s**3 + 147*s**2 - 1800*s = 0?
0, 24, 25
Let -r**3/4 + 253*r**2/4 - 1491*r/4 + 2223/4 = 0. What is r?
3, 247
Determine r so that 2*r**3 - 108*r**2 + 210*r - 104 = 0.
1, 52
Factor -4*r**2 + 80*r - 400.
-4*(r - 10)**2
Factor l**3/3 - 22*l**2/3 - 104*l/3.
l*(l - 26)*(l + 4)/3
Let 35*u**5 + 9*u**4 - 42*u**3 - 16*u**2 = 0. What is u?
-1, -2/5, 0, 8/7
Factor -m**2/5 - 9*m/5 + 2.
-(m - 1)*(m + 10)/5
Factor -w**3 - 8*w**2 + 44*w - 48.
-(w - 2)**2*(w + 12)
Solve -8*r**4/9 + 10*r**3/3 + 32*r**2/3 + 70*r/9 + 4/3 = 0 for r.
-1, -1/4, 6
Suppose -98*u**3 + 574*u**2 + 752*u + 224 = 0. Calculate u.
-4/7, 7
Factor -122*p**3 - 124*p**2 - 2*p.
-2*p*(p + 1)*(61*p + 1)
Factor -4*z**3 + 68*z**2 - 64*z.
-4*z*(z - 16)*(z - 1)
Let -r**4 + 33*r**3/5 + 34*r**2/5 - 132*r/5 - 56/5 = 0. Calculate r.
-2, -2/5, 2, 7
Solve 4*a**3 + 24*a**2 - 384*a - 2560 = 0.
-8, 10
Factor 3*b**4/7 + 21*b**3 - 150*b**2/7.
3*b**2*(b - 1)*(b + 50)/7
Let 21*x**3 + 912*x**2 + 2907*x + 1080 = 0. Calculate x.
-40, -3, -3/7
Factor -v**5 - 9*v**4 - 24*v**3 - 20*v**2.
-v**2*(v + 2)**2*(v + 5)
Solve 4*d**3 - 142*d**2/5 + 2*d + 28/5 = 0.
-2/5, 1/2, 7
Solve -5*j**5 - 14*j**4 + 128*j**3 - 130*j**2 + 21*j = 0 for j.
-7, 0, 1/5, 1, 3
Find u such that -3*u**3/4 - 21*u**2/2 + 51*u - 54 = 0.
-18, 2
Factor 1311*m**2/8 + 4587*m/4 - 21/8.
3*(m + 7)*(437*m - 1)/8
Find c such that -3*c**5 + 15*c**4 + 12*c**3 - 132*c**2 + 144*c = 0.
-3, 0, 2, 4
Factor -p**4/4 + 3*p**3/4 - p**2/2.
-p**2*(p - 2)*(p - 1)/4
Factor -q**5/4 - 5*q**4/4 - 3*q**3/4 + 9*q**2/4.
-q**2*(q - 1)*(q + 3)**2/4
Find p, given that -3*p**3/7 + 153*p**2 + 3*p/7 - 153 = 0.
-1, 1, 357
Determine w, given that w**4/2 + 135*w**3/2 + 133*w**2/2 - 135*w/2 - 67 = 0.
-134, -1, 1
What is t in -19*t**4/3 - 230*t**3/3 + 337*t**2/3 + 1520*t/3 + 52 = 0?
-13, -2, -2/19, 3
Factor 36*u**2 - 188*u + 40.
4*(u - 5)*(9*u - 2)
Determine g, given that 3*g**2/4 + 33*g/4 + 15/2 = 0.
-10, -1
Find d, given that 15*d**5 - 220*d**4 + 1220*d**3 - 3120*d**2 + 3520*d - 1280 = 0.
2/3, 2, 4
Factor -q**2/3 - 496*q/3 - 61504/3.
-(q + 248)**2/3
Determine g, given that -2*g**5/11 + 4*g**4/11 + 98*g**3/11 + 236*g**2/11 + 144*g/11 = 0.
-4, -2, -1, 0, 9
Determine v so that -4*v**2/5 - 3324*v/5 + 6664/5 = 0.
-833, 2
Determine o so that -45*o**3 + 201*o**2 - 252*o + 96 = 0.
4/5, 1, 8/3
Solve -2*g**2/5 - 172*g/5 - 34 = 0.
-85, -1
Suppose -z**2/4 + 407*z - 165649 = 0. What is z?
814
Factor -2*d**4 + 3380*d**3 - 1424666*d**2 - 2859480*d - 1431432.
-2*(d - 846)**2*(d + 1)**2
Suppose -5*f**3 + 180*f**2 - 925*f - 2610 = 0. Calculate f.
-2, 9, 29
Let -4*p**5 + 20*p**4 + 348*p**3 + 892*p**2 - 8*p - 1248 = 0. Calculate p.
-4, -3, -2, 1, 13
Let -h**5 - 5*h**4 + 24*h**3 = 0. Calculate h.
-8, 0, 3
Factor 5*r**4 - 530*r**3 - 1635*r**2 - 20*r + 2180.
5*(r - 109)*(r - 1)*(r + 2)**2
Factor -5*o**4 - 3320*o**3 - 3315*o**2.
-5*o**2*(o + 1)*(o + 663)
Factor 7*c**2/2 + 31*c/3 + 20/3.
(c + 2)*(21*c + 20)/6
Determine t so that 845*t**3 + 20800*t**2 + 82500*t + 90000 = 0.
-20, -30/13
Let 6*u**3 - 17*u**2 - 63*u - 10 = 0. What is u?
-2, -1/6, 5
Factor -8*i**2 + 84*i - 108.
-4*(i - 9)*(2*i - 3)
Determine j, given that -2*j**3/11 + 68*j**2/11 = 0.
0, 34
Let 2*g**2 - 158*g + 308 = 0. What is g?
2, 77
Facto