/4 - m**4/4 - 3*m**3/4 + 5*m**2/4 - m/2 = 0.
-2, 0, 1
Factor -y**2/2 - 6321*y - 39955041/2.
-(y + 6321)**2/2
Factor 3*l**2/2 - 33*l/2 + 27.
3*(l - 9)*(l - 2)/2
Factor -2*m**2/9 - 2026*m/9 + 676/3.
-2*(m - 1)*(m + 1014)/9
Let 3*o**5/2 + 25*o**4 + 239*o**3/2 + 150*o**2 + 54*o = 0. Calculate o.
-9, -6, -1, -2/3, 0
Solve 4*s**3 + 12*s**2 - 16*s = 0.
-4, 0, 1
Find q, given that 2*q**4/13 - 6*q**3/13 - 14*q**2/13 + 30*q/13 + 36/13 = 0.
-2, -1, 3
Determine p, given that -2*p**3/7 + 86*p**2/7 + 570*p/7 + 126 = 0.
-3, 49
Let -2*n**2/7 + 1376*n/7 - 236672/7 = 0. What is n?
344
Factor -4*u**2 + 80*u + 276.
-4*(u - 23)*(u + 3)
Factor -q**3 - 920*q**2 - 917*q + 1838.
-(q - 1)*(q + 2)*(q + 919)
Factor -18*v**2/11 - 86*v/11 + 20/11.
-2*(v + 5)*(9*v - 2)/11
Factor 4*h**4/7 + 8*h**3/7 - 16*h**2/7 - 8*h/7 + 12/7.
4*(h - 1)**2*(h + 1)*(h + 3)/7
Let 3*y**2 - 4302*y + 1542267 = 0. Calculate y.
717
Factor -5*f**3/2 - 5*f**2/2 + 25*f/2 - 15/2.
-5*(f - 1)**2*(f + 3)/2
Find j, given that -4570*j**3/23 - 4578*j**2/23 - 8*j/23 = 0.
-1, -4/2285, 0
Factor -v**4 + 8*v**3 + 23*v**2 - 30*v.
-v*(v - 10)*(v - 1)*(v + 3)
Factor -a**4 - 54*a**3 - 613*a**2 + 3132*a - 3364.
-(a - 2)**2*(a + 29)**2
Let -k**3/2 + 2765*k**2/2 - 1909923*k/2 - 1912689/2 = 0. Calculate k.
-1, 1383
Factor 3*f**2/2 - 15*f - 33/2.
3*(f - 11)*(f + 1)/2
Find z such that z**2/7 - 141*z/7 + 810/7 = 0.
6, 135
Suppose 2*d**3 + 20*d**2 + 34*d - 56 = 0. Calculate d.
-7, -4, 1
Solve 15*u**2 + 80*u + 25 = 0 for u.
-5, -1/3
Suppose a**2 + 24*a + 108 = 0. What is a?
-18, -6
Factor -4*z**2/5 - 156*z/5 - 296/5.
-4*(z + 2)*(z + 37)/5
Solve -33*c**4 + 324*c**3 - 237*c**2 - 54*c = 0 for c.
-2/11, 0, 1, 9
Factor -5*t**3 - 235*t**2 - 410*t + 1800.
-5*(t - 2)*(t + 4)*(t + 45)
Determine d, given that 325*d**4 + 2910*d**3 + 2572*d**2 + 744*d + 64 = 0.
-8, -2/5, -2/13
Determine g so that -g**4/9 + 19*g**3/3 + 13*g**2 + 59*g/9 = 0.
-1, 0, 59
Solve 51*y**3 + 285*y**2 + 456*y + 180 = 0.
-3, -2, -10/17
Solve 22*i**3/5 + 576*i**2/5 + 654*i/5 + 20 = 0.
-25, -1, -2/11
Determine y so that -2*y**3/7 + 676*y**2/7 - 5294*y/7 + 660 = 0.
1, 7, 330
Factor 5*i**4 - 5*i**3 - 25*i**2 - 15*i.
5*i*(i - 3)*(i + 1)**2
Solve 2*c**3 - 6*c**2 - 122*c + 126 = 0.
-7, 1, 9
Factor -5*l**2 - 91120*l - 415142720.
-5*(l + 9112)**2
Solve p**2/3 - 58*p + 173/3 = 0 for p.
1, 173
Determine l so that 2*l**4/5 - 18*l**3/5 + 42*l**2/5 - 38*l/5 + 12/5 = 0.
1, 6
Factor 5*i**3 + 270*i**2 + 4725*i + 26460.
5*(i + 12)*(i + 21)**2
Factor 14*n**3/5 + 688*n**2/5 + 98*n/5.
2*n*(n + 49)*(7*n + 1)/5
Solve -l**3/3 - 331*l**2 - 109561*l - 36264691/3 = 0 for l.
-331
Solve 2*y**2 + 696*y + 60552 = 0 for y.
-174
Solve -2*s**3 + 5*s**2/2 + 36*s + 63/2 = 0 for s.
-3, -1, 21/4
Suppose -188180*l**3 - 83032*l**2 - 3184*l - 32 = 0. What is l?
-2/5, -2/97
Factor 3*l**5 + 6*l**4 - 3*l**3 - 6*l**2.
3*l**2*(l - 1)*(l + 1)*(l + 2)
What is g in 4*g**4/3 + 31*g**3/3 - 4*g**2 - 31*g/3 + 8/3 = 0?
-8, -1, 1/4, 1
Factor 4*v**2 + 29616*v + 54819216.
4*(v + 3702)**2
Find j such that -12*j**5 + 100*j**4 - 640*j**3/3 - 80*j**2/3 + 640*j/3 - 256/3 = 0.
-1, 2/3, 4
Factor l**5 + 5*l**4 + 7*l**3 + 3*l**2.
l**2*(l + 1)**2*(l + 3)
Factor z**2/6 + 622*z/3 + 193442/3.
(z + 622)**2/6
Factor -2*b**3/5 - 14*b**2 - 150*b - 450.
-2*(b + 5)*(b + 15)**2/5
Factor -f**4 - 40*f**3 - 312*f**2 + 1760*f - 1936.
-(f - 2)**2*(f + 22)**2
Determine s so that -2*s**3/7 - 44*s**2/7 = 0.
-22, 0
Factor 4*z**3 - 76*z**2 + 256*z - 240.
4*(z - 15)*(z - 2)**2
Factor -1755*p**2 + 1765*p - 10.
-5*(p - 1)*(351*p - 2)
Factor -5*l**3 - 95*l**2 - 240*l.
-5*l*(l + 3)*(l + 16)
Let -2*w**3/13 + 396*w**2/13 + 402*w/13 - 796/13 = 0. What is w?
-2, 1, 199
Let 6*b**3 + 86*b**2 + 96*b - 104 = 0. What is b?
-13, -2, 2/3
Factor -63*o**2 + 12*o - 4/7.
-(21*o - 2)**2/7
Suppose -100*y**4 - 4780*y**3 - 3741*y**2 + 892*y - 47 = 0. Calculate y.
-47, -1, 1/10
Solve -21*j**5/5 + 48*j**4/5 - 12*j**3/5 - 42*j**2/5 + 33*j/5 - 6/5 = 0 for j.
-1, 2/7, 1
Factor n**2/3.
n**2/3
Factor 6*f**3/5 + 128*f**2/5 - 234*f/5 - 92/5.
2*(f - 2)*(f + 23)*(3*f + 1)/5
Let o**3/4 + o**2/4 - 3*o/2 = 0. What is o?
-3, 0, 2
Factor 6*g**3/11 + 1032*g**2/11 + 90*g - 6156/11.
6*(g - 2)*(g + 3)*(g + 171)/11
Suppose g**5 - 13*g**4/4 + 11*g**3/4 - g**2/2 = 0. What is g?
0, 1/4, 1, 2
What is k in k**4/2 - 21*k**3/2 - 151*k**2/2 - 291*k/2 - 81 = 0?
-3, -2, -1, 27
Factor 2*d**4/7 + 8*d**3 + 50*d**2/7 - 108*d/7.
2*d*(d - 1)*(d + 2)*(d + 27)/7
Solve -2*f**2/13 + 12*f/13 + 32/13 = 0 for f.
-2, 8
What is g in 15*g**4 - 185*g**3 + 735*g**2 - 975*g + 250 = 0?
1/3, 2, 5
What is h in 12*h**5 + 339*h**4 - 624*h**3 + 183*h**2 + 90*h = 0?
-30, -1/4, 0, 1
Factor 3*m**4 - 6630*m**3 + 3649791*m**2 + 14678820*m + 14705388.
3*(m - 1107)**2*(m + 2)**2
Factor -j**2 - 16*j - 55.
-(j + 5)*(j + 11)
Factor -j**4 - 160*j**3 - 312*j**2 + 640*j + 1264.
-(j - 2)*(j + 2)**2*(j + 158)
Factor 3*m**3/4 - 63*m**2/4 - 462*m - 855.
3*(m - 38)*(m + 2)*(m + 15)/4
Factor 64*h**2 - 180*h - 36.
4*(h - 3)*(16*h + 3)
Solve 85*x**3/6 - 80*x**2/3 + 65*x/6 + 5/3 = 0 for x.
-2/17, 1
Suppose -4*v**2 + 256*v + 1380 = 0. Calculate v.
-5, 69
Solve 2*r**2 - 792*r + 1576 = 0.
2, 394
Factor 4*s**2 - 5248*s + 1721344.
4*(s - 656)**2
Determine z so that 2*z**2 - 30*z + 88 = 0.
4, 11
Find y such that -18*y**4/5 + 6*y**3/5 + 124*y**2/5 - 152*y/5 + 48/5 = 0.
-3, 2/3, 2
Suppose -2*n**3/23 - 22*n**2/23 - 70*n/23 - 50/23 = 0. What is n?
-5, -1
Factor 3*s**2 - 2148*s + 384492.
3*(s - 358)**2
Suppose 5*o**5 + 170*o**4 - 1795*o**3 + 5840*o**2 - 7660*o + 3440 = 0. Calculate o.
-43, 1, 2, 4
Factor d**5 + 24*d**4 + 208*d**3 + 768*d**2 + 1024*d.
d*(d + 4)**2*(d + 8)**2
Suppose -z**4 - 82*z**3 - 1296*z**2 - 6318*z - 5103 = 0. Calculate z.
-63, -9, -1
Factor -3*p**5 + 102*p**4 - 1299*p**3 + 7716*p**2 - 21648*p + 23232.
-3*(p - 11)**2*(p - 4)**3
Factor -5*r**4/4 + 185*r**3/2 - 7205*r**2/4 + 3330*r - 1620.
-5*(r - 36)**2*(r - 1)**2/4
Factor -18*l**5 + 168*l**4 - 626*l**3 + 1164*l**2 - 1080*l + 400.
-2*(l - 2)**3*(3*l - 5)**2
Suppose -a**2/2 - 9*a/2 + 11 = 0. Calculate a.
-11, 2
Determine a so that 18*a**5 - 237*a**4 + 669*a**3 + 777*a**2 - 147*a = 0.
-1, 0, 1/6, 7
Solve 4*w**3/7 - 564*w**2/7 - 1744*w/7 + 2304/7 = 0 for w.
-4, 1, 144
Suppose -z**4/10 - 44*z**3/5 - 173*z**2/10 - 43*z/5 = 0. What is z?
-86, -1, 0
Suppose -28*y**5 + 512*y**4 - 480*y**3 - 2200*y**2 - 772*y + 408 = 0. What is y?
-1, 2/7, 3, 17
Factor -4*a**3 - 16*a**2 + 116*a - 96.
-4*(a - 3)*(a - 1)*(a + 8)
Suppose 4*g**3/9 - 124*g**2/9 + 416*g/3 - 448 = 0. Calculate g.
7, 12
Solve -l**5 + 147*l**4 - 7202*l**3 + 117502*l**2 + 7203*l - 117649 = 0 for l.
-1, 1, 49
What is n in 2*n**5/3 + 2*n**4 + 4*n**3/3 - 4*n**2/3 - 2*n - 2/3 = 0?
-1, 1
Factor -9*i**4 - 393*i**3 - 637*i**2 - 295*i - 42.
-(i + 1)*(i + 42)*(3*i + 1)**2
Suppose -3*o**3/2 + 45*o**2 - 171*o/2 + 42 = 0. What is o?
1, 28
Factor -r**4/2 - 244*r**3 - 29523*r**2 + 59780*r - 60025/2.
-(r - 1)**2*(r + 245)**2/2
Determine c, given that 3*c**3 - 66*c**2 - 69*c = 0.
-1, 0, 23
Factor g**2/3 + 3*g + 20/3.
(g + 4)*(g + 5)/3
Find u, given that 3004*u**4 + 12008*u**3 + 2972*u**2 - 18032*u + 48 = 0.
-3, -2, 2/751, 1
Suppose 2*r**4 + 2*r**3 - 14*r**2 - 26*r - 12 = 0. What is r?
-2, -1, 3
Suppose 8*m**5 + 20*m**4 - 24*m**3 - 80*m**2 - 32*m = 0. Calculate m.
-2, -1/2, 0, 2
Let g**2/4 - 109*g/4 + 107/2 = 0. What is g?
2, 107
Determine n so that 4*n**4/5 + 116*n**3/5 - 532*n**2/5 - 116*n/5 + 528/5 = 0.
-33, -1, 1, 4
Factor 2*d**3/3 - 52*d**2/9 - 2*d.
2*d*(d - 9)*(3*d + 1)/9
Factor -z**2 + 6*z - 5.
-(z - 5)*(z - 1)
Factor y**2/6 - 57*y/2 + 85/3.
(y - 170)*(y - 1)/6
Factor 4*p**3/5 - 16*p**2/5 - 4*p/5 + 16/5.
4*(p - 4)*(p - 1)*(p + 1)/5
Factor 2*i**3/3 - 58*i**2/3 + 130*i + 150.
2*(i - 15)**2*(i + 1)/3
Let -2*p**5/7 + 68*p**4/7 - 100*p**3 + 2104*p**2/7 - 2370*p/7 + 900/7 = 0. Calculate p.
1, 2, 15
Factor 4*m**3 - 8*m**2 + 4*m.
4*m*(m - 1)**2
Factor 15*c**3 - 1525*c**2 - 2055*c - 515.
5*(c - 103)*(c + 1)*(3*c + 1)
Factor -w**4 + 38*w**3.
-w**3*(w - 38)
Factor c**3 + 20*c**2 - 21*c.
c*(c - 1)*(c + 21)
Determine o so that -o**3 + 180*o**2 - 10800*o + 216000 = 0.
60
Suppose -2*d**3/5 + 44*d**2/5 + 336*d/5 = 0. What is d?
-6, 0, 28
Suppose 3*k**5 + 135*k**4 - 159*k**3 - 927*k**2 + 1776*k - 828 = 0. What is k?
-46, -3, 1, 2
Factor 3*i**2/4 + 303*i/4 - 153/2.
3*