5*w**4/2 + 190*w**3 - 3415*w**2 - 7410*w - 7605/2 = 0.
-1, 39
Suppose 2*s**2/7 - 128*s + 14336 = 0. What is s?
224
What is z in 12*z**4 + 390*z**3 + 2187*z**2/4 - 1389*z/4 + 93/2 = 0?
-31, -2, 1/4
Suppose 4*r**2/9 - 70*r/9 + 32/3 = 0. What is r?
3/2, 16
Factor m**4/4 - 6*m**3 + 48*m**2 - 128*m.
m*(m - 8)**3/4
Factor n**3/2 - 108*n**2 - 435*n/2 - 109.
(n - 218)*(n + 1)**2/2
Factor -4*g**3 - 24*g**2 + 4*g + 120.
-4*(g - 2)*(g + 3)*(g + 5)
Factor r**4/5 + 129*r**3/5 + 126*r**2/5 - 256*r/5.
r*(r - 1)*(r + 2)*(r + 128)/5
Find z, given that -2*z**2/9 + 28*z/9 + 10/3 = 0.
-1, 15
Factor -2*i**3/9 + 10*i**2/3 - 16*i + 224/9.
-2*(i - 7)*(i - 4)**2/9
Let -u**5 - 4*u**4 - 5*u**3 - 2*u**2 = 0. Calculate u.
-2, -1, 0
Factor 3*i**2 + 264*i - 267.
3*(i - 1)*(i + 89)
Factor u**5/3 + 4*u**4 + 19*u**3 + 134*u**2/3 + 52*u + 24.
(u + 2)**3*(u + 3)**2/3
Solve f**2 - 567*f + 1130 = 0 for f.
2, 565
Determine r, given that -10*r**5 - 65*r**4 - 145*r**3 - 110*r**2 + 20*r + 40 = 0.
-2, -1, 1/2
Solve -a**2/3 + a/3 = 0.
0, 1
Factor -3*w**3/4 - 795*w**2/2 - 3171*w/4 - 396.
-3*(w + 1)**2*(w + 528)/4
Determine k so that -4*k**5 + 52*k**4 - 92*k**3 + 44*k**2 = 0.
0, 1, 11
Suppose -4*t**5 - 32*t**4 - 88*t**3 - 96*t**2 - 36*t = 0. What is t?
-3, -1, 0
Find t, given that 2*t**3 + 60*t**2 + 306*t - 368 = 0.
-23, -8, 1
Factor 18*o**2/13 - 1210*o/13 + 268/13.
2*(o - 67)*(9*o - 2)/13
What is o in 3*o**3 + 30*o**2 - 3*o - 30 = 0?
-10, -1, 1
Solve -3*u**3 + 531*u**2 - 24273*u + 68121 = 0 for u.
3, 87
Factor -d**3/4 + d**2/4 + d - 1.
-(d - 2)*(d - 1)*(d + 2)/4
Find c, given that -5*c**5 - 15*c**4 + 45*c**3 + 135*c**2 = 0.
-3, 0, 3
Factor 5*h**4 - 85*h**2 + 180*h - 100.
5*(h - 2)**2*(h - 1)*(h + 5)
Factor -2*t**2 + 76*t - 650.
-2*(t - 25)*(t - 13)
Solve -5*l**4 - 250*l**3 - 245*l**2 = 0 for l.
-49, -1, 0
Factor -2*u**2 + 114*u.
-2*u*(u - 57)
Determine o, given that o**2/7 + 8996*o/7 + 20232004/7 = 0.
-4498
Factor 5*v**2/3 + 8690*v/3 + 2895.
5*(v + 1)*(v + 1737)/3
Solve f**2 + 22*f + 121 = 0.
-11
Factor 3*y**2/4 - 51*y.
3*y*(y - 68)/4
Determine d, given that 2*d**4/5 + 16*d**3/5 + 14*d**2/5 = 0.
-7, -1, 0
Let a**4 + 31*a**3 + 30*a**2 = 0. Calculate a.
-30, -1, 0
Find z, given that -z**4 + 2*z**3/3 + z**2 - 2*z/3 = 0.
-1, 0, 2/3, 1
Solve 3*f**2/4 - 1077*f/4 - 270 = 0.
-1, 360
Factor v**2/2 - 16*v + 128.
(v - 16)**2/2
Factor 4*w**3 + 732*w**2 + 5628*w + 4900.
4*(w + 1)*(w + 7)*(w + 175)
Factor 4*u**2/5 - 1872*u/5 + 219024/5.
4*(u - 234)**2/5
Suppose -2*y**4 - 530*y**3 - 35898*y**2 - 104014*y - 68644 = 0. Calculate y.
-131, -2, -1
Determine o so that 5*o**5 + 10*o**4 - 25*o**3 - 30*o**2 = 0.
-3, -1, 0, 2
Let 12*m**3 + 177*m**2 + 627*m - 168 = 0. Calculate m.
-8, -7, 1/4
Factor 504*f**2 - 93*f - 36.
3*(8*f - 3)*(21*f + 4)
Let -h**4/6 - h**3 - 4*h**2/3 = 0. Calculate h.
-4, -2, 0
Factor 2*f**4/15 - 2*f**3/5 - 36*f**2/5.
2*f**2*(f - 9)*(f + 6)/15
Factor -k**2 - 61*k + 62.
-(k - 1)*(k + 62)
Let 19652*x**5 - 115600*x**4 + 170408*x**3 - 95360*x**2 + 22900*x - 2000 = 0. Calculate x.
5/17, 1, 4
Factor 3*z**3/2 - 147*z**2/2 - 303*z/2 - 153/2.
3*(z - 51)*(z + 1)**2/2
Solve 100*i**4 - 1280*i**3 - 324*i**2 + 848*i - 208 = 0.
-1, 2/5, 13
Suppose 3*h**5/4 - 21*h**4/4 + 33*h**3/4 - 15*h**2/4 = 0. What is h?
0, 1, 5
Let 27*s**5/8 + 39*s**4/2 + 45*s**3/2 - 105*s**2/4 - 207*s/8 + 27/4 = 0. Calculate s.
-3, -1, 2/9, 1
Factor -89*m**2/2 - 132*m + 9/2.
-(m + 3)*(89*m - 3)/2
Factor 4*q**2 + 16*q - 20.
4*(q - 1)*(q + 5)
Suppose -51*k**5/7 - 96*k**4/7 - 39*k**3/7 + 6*k**2/7 = 0. What is k?
-1, 0, 2/17
Solve 2*x**3 + 1288*x**2 + 5128*x + 5120 = 0.
-640, -2
Suppose j**4/6 - j**3 - 1833*j**2/2 + 2754*j + 1264086 = 0. What is j?
-51, 54
Factor -r**4/2 - 5*r**3/2 - 2*r**2.
-r**2*(r + 1)*(r + 4)/2
Find z, given that 3*z**4/7 - 34*z**3/7 - 2269*z**2/7 + 5080*z - 11600/7 = 0.
-29, 1/3, 20
Determine l so that -4*l**3 - 8*l**2 + 156*l - 288 = 0.
-8, 3
Determine l, given that -l**2/2 + 759*l - 576081/2 = 0.
759
Suppose -2*c**2/3 + 10*c/3 + 16 = 0. What is c?
-3, 8
Factor -10*a**2/11 - 26*a/11 - 16/11.
-2*(a + 1)*(5*a + 8)/11
Factor v**3/3 + 634*v**2 + 300832*v - 1812608/3.
(v - 2)*(v + 952)**2/3
Suppose -21*h**3 + 6420*h**2 - 489753*h - 140454 = 0. Calculate h.
-2/7, 153
Determine l so that 2*l**4 + 144*l**3 + 278*l**2 - 144*l - 280 = 0.
-70, -2, -1, 1
Find d such that -15*d**5 + 95*d**4 - 150*d**3 + 40*d**2 = 0.
0, 1/3, 2, 4
Determine r so that -4*r**3 + 40*r**2 - 32*r - 256 = 0.
-2, 4, 8
Factor -15*g**4 + 895*g**3 - 590*g**2.
-5*g**2*(g - 59)*(3*g - 2)
Find t, given that -9*t**5 - 399*t**4 - 4482*t**3 - 1188*t**2 + 2904*t = 0.
-22, -1, 0, 2/3
Factor -5*b**2/4 - 105*b/4 - 100.
-5*(b + 5)*(b + 16)/4
Factor -5*s**3 - 70*s**2 - 175*s - 110.
-5*(s + 1)*(s + 2)*(s + 11)
Factor -5*f**4 + 70*f**3 - 300*f**2 + 520*f - 320.
-5*(f - 8)*(f - 2)**3
Find f such that 2*f**2 + 1836*f + 421362 = 0.
-459
Find w such that -w**2 + 23*w + 248 = 0.
-8, 31
Determine h so that -450*h**3 + 7080*h**2 + 1912*h + 128 = 0.
-2/15, 16
Factor g**3/2 + 5*g**2/2 - 57*g/2 + 99/2.
(g - 3)**2*(g + 11)/2
Factor -5*b**3/4 - 145*b**2/4 - 35*b.
-5*b*(b + 1)*(b + 28)/4
Determine p so that -2*p**5/21 + 32*p**4/21 - 82*p**3/21 + 52*p**2/21 = 0.
0, 1, 2, 13
Factor 5*r**2 - 40*r - 100.
5*(r - 10)*(r + 2)
Let -4*r**4 + 4*r**3 + 28*r**2 - 4*r - 24 = 0. What is r?
-2, -1, 1, 3
Factor -b**3 - 104*b**2 - 205*b - 102.
-(b + 1)**2*(b + 102)
Solve -2*l**4 - 10*l**3 - 10*l**2 + 10*l + 12 = 0.
-3, -2, -1, 1
Factor 15*o**3 - 1161*o**2 + 16392*o - 6372.
3*(o - 59)*(o - 18)*(5*o - 2)
Factor -3*d**3 + 75*d**2 + 3*d - 75.
-3*(d - 25)*(d - 1)*(d + 1)
Suppose d**5/2 + 25*d**4/4 - 41*d**3/4 + 7*d**2/2 = 0. What is d?
-14, 0, 1/2, 1
Factor 5*n**3 - 1300*n**2 + 88265*n - 483870.
5*(n - 127)**2*(n - 6)
Solve 2*h**3/11 + 2*h**2 + 32*h/11 - 168/11 = 0 for h.
-7, -6, 2
Factor 3*m**4/2 - 9*m**3/2 + 6*m.
3*m*(m - 2)**2*(m + 1)/2
Solve 2*d**2/13 + 14*d/13 - 36/13 = 0.
-9, 2
Factor -w**3/2 + 6499*w**2/2 - 12995*w/2 + 6497/2.
-(w - 6497)*(w - 1)**2/2
Factor 2*v**2/17 + 8824*v/17 + 9732872/17.
2*(v + 2206)**2/17
Factor 3*l**2 - 651*l.
3*l*(l - 217)
Factor -4*n**2 + 54*n + 28.
-2*(n - 14)*(2*n + 1)
Let -3*p**2 - 3*p + 468 = 0. Calculate p.
-13, 12
Factor 2*m**3/3 - 226*m**2/3 + 2012*m/3 + 1648.
2*(m - 103)*(m - 12)*(m + 2)/3
Factor -2*t**3/3 + 95*t**2/3 - 1196*t/3 + 529.
-(t - 23)**2*(2*t - 3)/3
Factor l**3/3 - 1497*l**2 + 2241009*l - 1118263491.
(l - 1497)**3/3
Determine p, given that -p**4/4 - 35*p**3/4 = 0.
-35, 0
Factor 5*x**4 - 110*x**3 + 720*x**2 - 640*x - 5120.
5*(x - 8)**3*(x + 2)
Factor 3*v**3 - 15*v**2 + 12*v.
3*v*(v - 4)*(v - 1)
Factor 4*a**2/3 - 20*a/3 + 16/3.
4*(a - 4)*(a - 1)/3
Find u such that -2*u**4/11 - 10*u**3/11 - 12*u**2/11 = 0.
-3, -2, 0
Find c, given that 2*c**4 + 2*c**3 - 16*c**2 - 24*c = 0.
-2, 0, 3
Suppose 10*a**4 + 46*a**3 - 16*a**2 - 184*a - 96 = 0. Calculate a.
-4, -2, -3/5, 2
Find x such that 6*x**3 + 796*x**2 - 270*x - 532 = 0.
-133, -2/3, 1
Let -2*g**5/3 + 11*g**4/3 + 4*g**3 - 37*g**2/3 + 4*g/3 + 4 = 0. Calculate g.
-2, -1/2, 1, 6
Determine c so that -c**3/8 + 57*c**2/8 - 7*c = 0.
0, 1, 56
What is o in 3*o**2 + 207*o - 426 = 0?
-71, 2
What is a in a**4/3 - 68*a**3/3 - 144*a**2 - 880*a/3 - 592/3 = 0?
-2, 74
Determine v so that -2*v**2/19 + 160*v/19 - 3200/19 = 0.
40
Determine h so that 18*h**5/7 - 426*h**4/7 + 2432*h**3/7 + 1240*h**2/7 - 2112*h/7 - 1152/7 = 0.
-2/3, 1, 12
What is x in -8*x**2 - 17*x/3 - 1 = 0?
-3/8, -1/3
Factor -3*g**2 - 66*g + 225.
-3*(g - 3)*(g + 25)
Factor n**4/3 - 26*n**3 + 227*n**2/3 - 50*n.
n*(n - 75)*(n - 2)*(n - 1)/3
Find c such that 8*c**3 + 10*c**2 + 2*c = 0.
-1, -1/4, 0
What is f in -f**3/9 + 5*f**2/9 - 2*f/3 = 0?
0, 2, 3
Factor z**4/4 + z**3/2 - 9*z**2 + 22*z - 16.
(z - 2)**3*(z + 8)/4
Factor -2*c**2 - 934*c.
-2*c*(c + 467)
Solve -20*s**3/7 + 146*s**2/7 - 6*s = 0 for s.
0, 3/10, 7
Determine x, given that -2*x**3/5 - 16*x**2/5 - 6*x = 0.
-5, -3, 0
Solve 10*x**4/3 + 218*x**3 + 880*x**2/3 - 344*x - 512/3 = 0 for x.
-64, -2, -2/5, 1
Factor -4*o**2 - 256*o - 4096.
-4*(o + 32)**2
Let -16*c**4/5 + 332*c**3/5 + 7716*c**2/5 + 9188*c/5 + 364 = 0. Calculate c.
-13, -1, -1/4, 35
Determine o so that o**2 - 3438*o = 0.
0, 3438
What is y in y**5/5 + 18*y**4/5 + 13*y**3 = 0?
-13, -5, 0
Solve -m**2/4 + 104*m + 1257/4 = 0.
-3, 419
Let -2*b**4 + 59*b**3