 = 0. What is k?
-4, -2, 0, 2
What is p in -4*p**2 - 148*p = 0?
-37, 0
Factor -4*l**2 - 896*l + 5520.
-4*(l - 6)*(l + 230)
Let x**4/2 - 4*x**3 + x**2 + 16*x + 21/2 = 0. Calculate x.
-1, 3, 7
Factor -35*v**5 - 65*v**4 - 25*v**3 + 5*v**2.
-5*v**2*(v + 1)**2*(7*v - 1)
Factor -54*b**5/17 + 2430*b**4/17 - 28530*b**3/17 + 26930*b**2/17 - 8800*b/17 + 968/17.
-2*(b - 22)**2*(3*b - 1)**3/17
Factor 5*x**3 + 205*x**2 - 210*x.
5*x*(x - 1)*(x + 42)
Factor 100*p**5/9 - 40*p**4/9 - 17*p**3/3 - p**2.
p**2*(p - 1)*(10*p + 3)**2/9
Find x, given that 5*x**5 + 145*x**4 + 130*x**3 - 280*x**2 = 0.
-28, -2, 0, 1
Factor -3*d**3 - 36*d**2 + 81*d - 42.
-3*(d - 1)**2*(d + 14)
Factor 4*c**2 + 20*c - 56.
4*(c - 2)*(c + 7)
Determine x, given that -18*x**3 - 500*x**2 - 3416*x + 784 = 0.
-14, 2/9
Factor b**2/10 - 204*b/5 - 409/10.
(b - 409)*(b + 1)/10
Find a, given that -3*a**5 + 1428*a**4 - 226098*a**3 + 11831508*a**2 + 12059037*a = 0.
-1, 0, 159
Solve -4*f**4/3 + 20*f**3/3 + 224*f**2/3 - 80*f = 0.
-6, 0, 1, 10
Let -5*t**3 + 30*t**2 + 200*t = 0. What is t?
-4, 0, 10
Factor -2*t**3/15 - 1594*t**2/15 - 3182*t/15 - 106.
-2*(t + 1)**2*(t + 795)/15
Solve -10*w**5 + 315*w**4 - 140*w**3 - 470*w**2 + 150*w + 155 = 0.
-1, -1/2, 1, 31
Factor -50*d**3/7 - 60*d**2/7 + 72*d/7 - 16/7.
-2*(d + 2)*(5*d - 2)**2/7
Factor -15*i**2 + 10*i + 5.
-5*(i - 1)*(3*i + 1)
Determine u, given that u**2 + 506*u + 64009 = 0.
-253
What is d in d**3/7 + 80*d**2/7 + 1200*d/7 = 0?
-60, -20, 0
Find i, given that i**2/2 - 14*i + 26 = 0.
2, 26
Factor 4*i**4/7 + 20*i**3/7 + 12*i**2/7 - 20*i/7 - 16/7.
4*(i - 1)*(i + 1)**2*(i + 4)/7
Solve 5*t**5 - 45*t**4 + 150*t**3 - 230*t**2 + 165*t - 45 = 0.
1, 3
Factor b**5/6 + 13*b**4/6 - 27*b**3/2 + 155*b**2/6 - 62*b/3 + 6.
(b - 2)*(b - 1)**3*(b + 18)/6
Find x such that 4*x**5 - 664*x**4 + 28816*x**3 - 101736*x**2 - 131220*x = 0.
-1, 0, 5, 81
Solve -4*b**4 - 20*b**3 + 72*b**2 + 80*b - 224 = 0 for b.
-7, -2, 2
Solve -4*g**3 - 124*g**2 + 868*g - 740 = 0 for g.
-37, 1, 5
What is m in -3*m**3 + 1425*m**2 = 0?
0, 475
Factor -7*b**2/4 + 5*b/4 + 3.
-(b + 1)*(7*b - 12)/4
Suppose 5*z**4/4 - 5*z**3 - 5*z**2/4 + 5*z = 0. What is z?
-1, 0, 1, 4
Solve -2*v**4 - 100*v**3 - 288*v**2 - 284*v - 94 = 0 for v.
-47, -1
Determine l so that -2*l**5/3 + 26*l**4/3 + 10*l**3 - 26*l**2/3 - 28*l/3 = 0.
-1, 0, 1, 14
Factor w**3/4 - 3*w**2/4 + 3*w/4 - 1/4.
(w - 1)**3/4
Factor f**3 - 186*f**2 + 1089*f - 1620.
(f - 180)*(f - 3)**2
Factor -x**5/5 + 57*x**4/5 + 238*x**3/5 + 362*x**2/5 + 243*x/5 + 61/5.
-(x - 61)*(x + 1)**4/5
Let -7*b**5/6 - 25*b**4/3 - 29*b**3/6 + 61*b**2/3 + 6*b - 12 = 0. Calculate b.
-6, -2, -1, 6/7, 1
Determine c so that c**3/2 + 6*c**2 + 22*c + 24 = 0.
-6, -4, -2
Determine s so that 3*s**3/4 + 351*s**2/2 + 13689*s + 355914 = 0.
-78
Factor 16*y**5 + 28*y**4 - 8*y**3.
4*y**3*(y + 2)*(4*y - 1)
Solve -2*n**5/7 + 2*n**3 + 4*n**2/7 - 24*n/7 - 16/7 = 0.
-2, -1, 2
Solve n**2/4 - 175*n = 0.
0, 700
Let 6*g**4 - 20*g**3 - 238*g**2 + 92*g + 160 = 0. Calculate g.
-5, -2/3, 1, 8
Factor -n**3/2 - 3*n**2 + n/2 + 15.
-(n - 2)*(n + 3)*(n + 5)/2
Factor -2*z**5/5 - 346*z**4/5 - 1026*z**3/5 - 1022*z**2/5 - 68*z.
-2*z*(z + 1)**3*(z + 170)/5
Factor -3*j**3/5 + 51*j**2/5 - 57*j + 105.
-3*(j - 7)*(j - 5)**2/5
Determine g so that 2*g**3/13 - 46*g**2/13 + 188*g/13 - 144/13 = 0.
1, 4, 18
Factor -2*z**4 - 14*z**3 - 30*z**2 - 26*z - 8.
-2*(z + 1)**3*(z + 4)
Determine q, given that q**2/3 - 30*q - 376/3 = 0.
-4, 94
Suppose -4*d**2 + 68*d = 0. What is d?
0, 17
Factor 3*l**2/2 - 2298*l + 880134.
3*(l - 766)**2/2
Let -u**2/3 + 34*u = 0. What is u?
0, 102
Factor -2*l**4 - 110*l**3 - 108*l**2.
-2*l**2*(l + 1)*(l + 54)
Factor 3*v**4 - 312*v**3.
3*v**3*(v - 104)
Let h**4 + 31*h**3 - 573*h**2 - 31*h + 572 = 0. What is h?
-44, -1, 1, 13
Factor -v**3/9 + 3*v**2 - 2*v/3 - 520/9.
-(v - 26)*(v - 5)*(v + 4)/9
Suppose c**3 + 25*c**2 + 47*c + 23 = 0. What is c?
-23, -1
Suppose -16*y**4 + 164*y**3 - 552*y**2 + 640*y - 128 = 0. What is y?
1/4, 2, 4
Find t, given that t**4/8 - 5*t**3/8 = 0.
0, 5
Factor -j**5 - 9*j**4 - 16*j**3 + 60*j**2 + 224*j + 192.
-(j - 3)*(j + 2)**2*(j + 4)**2
Determine a, given that 27*a**4/8 - 105*a**3/4 - 129*a**2/8 + 603*a/2 + 135/2 = 0.
-3, -2/9, 5, 6
Find z, given that 2*z**4 - 2*z**3 - 60*z**2 = 0.
-5, 0, 6
Factor 4*h**4 - 12*h**3 - 92*h**2 - 132*h - 56.
4*(h - 7)*(h + 1)**2*(h + 2)
What is n in -2*n**3 - 94*n**2 - 1150*n - 1058 = 0?
-23, -1
Factor 5*a**4 + 10*a**3 - 75*a**2.
5*a**2*(a - 3)*(a + 5)
Factor -33*r**2/7 - 6*r - 9/7.
-3*(r + 1)*(11*r + 3)/7
Let -2*p**5/9 + 20*p**4/9 - 2*p**3 = 0. Calculate p.
0, 1, 9
Suppose -52*n**3 + 528*n**2 + 1168*n - 192 = 0. What is n?
-2, 2/13, 12
Solve -4*a**2 - 88*a - 84 = 0.
-21, -1
Suppose -10*h**4 - 54*h**3 + 336*h**2 - 376*h = 0. Calculate h.
-47/5, 0, 2
Suppose -7*x**2/4 + 55*x/2 - 48 = 0. Calculate x.
2, 96/7
Determine x, given that -x**2 - 68*x - 531 = 0.
-59, -9
Factor t**4/3 - t**3/3 - 2*t**2.
t**2*(t - 3)*(t + 2)/3
Factor -z**5/3 + 2*z**4 - 8*z**3/3.
-z**3*(z - 4)*(z - 2)/3
Factor -2*p**5 - 20*p**4 - 32*p**3 + 4*p**2 + 34*p + 16.
-2*(p - 1)*(p + 1)**3*(p + 8)
Suppose -2*x**3/7 - 576*x**2/7 - 55296*x/7 - 1769472/7 = 0. What is x?
-96
Factor -215*x**2 - 440*x - 20.
-5*(x + 2)*(43*x + 2)
Factor p**2 - 796*p + 158404.
(p - 398)**2
What is o in -6*o**3/7 + 10*o**2/7 - 4*o/7 = 0?
0, 2/3, 1
Factor -2*q**3 - 8*q**2 + 22*q - 12.
-2*(q - 1)**2*(q + 6)
Determine b so that -44*b**5 - 2780*b**4 - 3188*b**3 + 2284*b**2 + 3232*b + 496 = 0.
-62, -1, -2/11, 1
Factor 2*v**2/3 - 8*v + 40/3.
2*(v - 10)*(v - 2)/3
Determine l so that 2*l**3/3 + 22*l**2/3 - 194*l/3 + 170/3 = 0.
-17, 1, 5
Factor -2*o**4/5 - 616*o**3/5 + 248*o**2.
-2*o**2*(o - 2)*(o + 310)/5
Factor -i**4 - 2*i**3 + 109*i**2 + 110*i.
-i*(i - 10)*(i + 1)*(i + 11)
Factor 2*c**2/3 + 6604*c/3 + 5451602/3.
2*(c + 1651)**2/3
Determine g, given that -3*g**2 + 156*g = 0.
0, 52
Factor -5756278756*f**5 - 30591384*f**4 - 54192*f**3 - 32*f**2.
-4*f**2*(1129*f + 2)**3
What is q in q**2/4 - 389*q/4 + 97 = 0?
1, 388
Suppose -2*c**2 + 8*c + 10 = 0. Calculate c.
-1, 5
Factor q**2/7 + 2830*q/7 + 2829/7.
(q + 1)*(q + 2829)/7
Let 2*o**2 + 1236*o + 190962 = 0. What is o?
-309
Factor -5*j**4 - 85*j**3 - 480*j**2 - 1040*j - 640.
-5*(j + 1)*(j + 4)**2*(j + 8)
Solve -9*w**3/2 + 39*w**2/2 + 29*w/2 + 5/2 = 0 for w.
-1/3, 5
Solve 5*i**2/3 + 80*i - 245/3 = 0.
-49, 1
Let -6*o**2 - 140*o - 46 = 0. Calculate o.
-23, -1/3
Factor 2*i**2/5 + 18*i/5 - 104/5.
2*(i - 4)*(i + 13)/5
Suppose 7*a**3/6 - 2*a**2 - 2*a/3 = 0. Calculate a.
-2/7, 0, 2
Solve 3*n**5/4 - 9*n**4/2 - 9*n**3 + 105*n**2/2 + 225*n/4 = 0 for n.
-3, -1, 0, 5
Factor 18*f**3/7 - 10488*f**2/7 - 14008*f/7 - 4672/7.
2*(f - 584)*(3*f + 2)**2/7
Find m such that m**3/2 - 20*m**2/3 + 13*m/6 = 0.
0, 1/3, 13
Find r, given that -r**5/2 - 49*r**4/2 - 47*r**3 + r**2 + 95*r/2 + 47/2 = 0.
-47, -1, 1
Suppose -l**5/4 + l**3 + l**2/2 - 3*l/4 - 1/2 = 0. Calculate l.
-1, 1, 2
Factor 36*g**4 - 44*g**3 - 84*g**2 + 156*g - 64.
4*(g - 1)**3*(9*g + 16)
Solve v**3/5 - 528*v**2/5 + 92928*v/5 - 5451776/5 = 0.
176
Solve -c**3 + 319*c**2 - 635*c + 317 = 0 for c.
1, 317
Determine r so that 10*r**3/7 - 2*r**2/7 - 10*r/7 + 2/7 = 0.
-1, 1/5, 1
Let -2*y**2/9 + 108*y = 0. What is y?
0, 486
Let m**3/3 - 59*m**2/3 - 22*m + 120 = 0. What is m?
-3, 2, 60
Factor -2*y**4/9 - 92*y**3/9 - 962*y**2/9 + 736*y/3 - 128.
-2*(y - 1)**2*(y + 24)**2/9
Determine k so that 2*k**2 + 8*k + 8 = 0.
-2
Solve 2*w**4 - 2*w**3 - 6*w**2 + 2*w + 4 = 0.
-1, 1, 2
Solve l**2 - 343*l - 1388 = 0 for l.
-4, 347
Find s such that 2*s**2/7 - 124*s/7 = 0.
0, 62
Find u such that 2*u**2/7 - 92*u/7 + 410/7 = 0.
5, 41
Factor 110*q**4 + 106*q**3 - 4*q**2.
2*q**2*(q + 1)*(55*q - 2)
Solve -r**2/2 + 303*r/2 + 305 = 0.
-2, 305
Factor 2*s**4/3 - 26*s**3/3 + 110*s**2/3 - 50*s.
2*s*(s - 5)**2*(s - 3)/3
Let -u**5/10 + u**4/5 + 31*u**3/10 - 52*u**2/5 + 6*u/5 + 72/5 = 0. Calculate u.
-6, -1, 2, 3, 4
Factor 48*i**2 - 237*i - 15.
3*(i - 5)*(16*i + 1)
Factor 5*u**2/6 + 60*u + 1080.
5*(u + 36)**2/6
Suppose -3*i**2/4 = 0. What is i?
0
Factor j**5 + 31*j**4 - 65*j**3 + 33*j**2.
j**2*(j - 1)**2*(j + 33)
What is g in 14*g**5 + 1422*g**4 + 35802*g**3 - 15606*g**2 = 0?
-51, 0, 3/7
Factor 2*s**2/5 - 1216*s/5 + 184832/5.
2*(s - 304)**2/5
Factor -4*w**3 - 48*w**2 - 188*w - 240.
-4*(w + 3)