57
Factor 9*l**5 + 24*l**4 + 21*l**3 + 6*l**2.
3*l**2*(l + 1)**2*(3*l + 2)
Factor 5*g**3/3 - 28*g**2/3 - 47*g/3 - 14/3.
(g - 7)*(g + 1)*(5*g + 2)/3
Solve 3*g**2 + 246*g + 936 = 0.
-78, -4
What is n in n**4 + 37*n**3 + 164*n**2 + 128*n = 0?
-32, -4, -1, 0
Factor n**5 - 105*n**4 + 4035*n**3 - 67735*n**2 + 461280*n - 1072476.
(n - 31)**3*(n - 6)**2
Suppose -w**5/2 + 9*w**4 - 97*w**3/2 + 72*w**2 - 32*w = 0. Calculate w.
0, 1, 8
Factor 2*h**2/13 - 394*h/13 - 396/13.
2*(h - 198)*(h + 1)/13
Suppose 2*d**3 - 96*d**2 + 1536*d - 8192 = 0. Calculate d.
16
Determine q, given that -3*q**3 - 288*q**2 - 1113*q - 828 = 0.
-92, -3, -1
Factor 5*o**5 - 15*o**4 + 10*o**3 + 10*o**2 - 15*o + 5.
5*(o - 1)**4*(o + 1)
Find y, given that -5*y**2 + 280*y + 3300 = 0.
-10, 66
Solve -v**2/3 - 82*v/3 - 1681/3 = 0 for v.
-41
Solve 1372*u**4 - 6566*u**3 - 1449*u**2 - 209*u/2 - 5/2 = 0 for u.
-1/14, 5
Determine z so that 5*z**5 + 10*z**4 - 10*z**3 - 20*z**2 + 5*z + 10 = 0.
-2, -1, 1
Factor 9*r**4 - 42*r**3 + 24*r**2.
3*r**2*(r - 4)*(3*r - 2)
Find l, given that l**2/3 + 124*l/3 + 244/3 = 0.
-122, -2
Find y such that 3*y**3/4 - 33*y**2/2 + 63*y/4 = 0.
0, 1, 21
Factor -2*c**2/5 - 44*c/5 - 34.
-2*(c + 5)*(c + 17)/5
Let -4*h**3/7 - 4*h**2/7 = 0. What is h?
-1, 0
Factor -2*m**4/9 - 38*m**3/3 - 680*m**2/3 - 8800*m/9 + 16000/3.
-2*(m - 3)*(m + 20)**3/9
Solve -2*d**5/9 - 568*d**4/9 + 1144*d**3/9 = 0.
-286, 0, 2
Factor -2*w**2 - 792*w - 9216.
-2*(w + 12)*(w + 384)
Factor -4*t**3 + 22404*t**2 - 31359996*t - 31382404.
-4*(t - 2801)**2*(t + 1)
Let -45*i**3/4 + 1191*i**2 + 5451*i/4 + 321/2 = 0. What is i?
-1, -2/15, 107
Factor 3*p**4 + 39*p**3 - 57*p**2 - 219*p - 126.
3*(p - 3)*(p + 1)**2*(p + 14)
Factor 25*u**3 - 255*u**2 + 275*u - 45.
5*(u - 9)*(u - 1)*(5*u - 1)
Find n such that -2*n**4/19 - 108*n**3/19 - 288*n**2/19 + 972*n/19 + 2754/19 = 0.
-51, -3, 3
Let 3*s**3/7 + 261*s**2/7 - 1368*s/7 + 1104/7 = 0. What is s?
-92, 1, 4
Factor -l**4 + 68*l**3 - 1156*l**2.
-l**2*(l - 34)**2
Suppose 4*y**4 - 68*y**3 + 364*y**2 - 588*y = 0. What is y?
0, 3, 7
Solve -3*t**3 - 24*t**2 + 153*t + 594 = 0.
-11, -3, 6
Factor -h**2/6 - 29*h/3 - 697/6.
-(h + 17)*(h + 41)/6
Factor 2*f**5/5 + 186*f**4/5 + 4416*f**3/5 + 4232*f**2/5.
2*f**2*(f + 1)*(f + 46)**2/5
Find k such that -k**4 - 16*k**3 - 83*k**2 - 164*k - 96 = 0.
-8, -4, -3, -1
Factor -2*v**2 - 454*v - 900.
-2*(v + 2)*(v + 225)
Factor b**4/7 - 15*b**3/7 - 192*b**2/7 - 80*b - 384/7.
(b - 24)*(b + 1)*(b + 4)**2/7
Let 2*q**5/5 - 4*q**4/5 = 0. Calculate q.
0, 2
Factor -g**3 + 50*g**2 + 1143*g + 5508.
-(g - 68)*(g + 9)**2
Factor a**3/3 + 19*a**2/3 - 13*a/3 - 1183/3.
(a - 7)*(a + 13)**2/3
Determine h, given that 9*h**5 - 6*h**4 - 39*h**3 + 24*h**2 + 12*h = 0.
-2, -1/3, 0, 1, 2
Solve f**5/5 - 29*f**4/5 - 33*f**3/5 + 17*f**2 + 148*f/5 + 12 = 0 for f.
-1, 2, 30
Solve -3*c**2/8 + 405*c/8 + 621/4 = 0 for c.
-3, 138
Factor -3*m**3 - 60*m**2 - 207*m + 270.
-3*(m - 1)*(m + 6)*(m + 15)
Factor -p**2/2 - 9*p - 65/2.
-(p + 5)*(p + 13)/2
Suppose 2*z**5/7 - 2*z**4/7 - 18*z**3/7 + 18*z**2/7 = 0. Calculate z.
-3, 0, 1, 3
Factor 4*k**3 + 896*k**2 - 4*k - 896.
4*(k - 1)*(k + 1)*(k + 224)
Factor 4*u**2 + 104*u.
4*u*(u + 26)
Factor -156*o**2 - 1100*o - 56.
-4*(o + 7)*(39*o + 2)
Determine n so that n**4 + 3*n**3 + 3*n**2 + n = 0.
-1, 0
What is q in 15*q**5 + 35*q**4 - 390*q**3 + 660*q**2 - 280*q = 0?
-7, 0, 2/3, 2
What is i in i**3/7 - 5*i**2/7 = 0?
0, 5
Solve -36*h**4 - 112*h**3 - 52*h**2 + 88*h + 64 = 0.
-2, -1, 8/9
What is g in -g**2/2 - 787*g - 619369/2 = 0?
-787
Determine j so that -2*j**2/3 + 2*j + 56/3 = 0.
-4, 7
Factor -4*i**3 + 76*i**2 - 48*i - 432.
-4*(i - 18)*(i - 3)*(i + 2)
Suppose z**2 + 472*z + 55696 = 0. What is z?
-236
What is c in -2*c**4 - 20*c**3 + 38*c**2 + 152*c - 264 = 0?
-11, -3, 2
Factor -27*d**2/4 - 8361*d - 2589123.
-3*(3*d + 1858)**2/4
Factor 4*c**4/7 + 352*c**3/7 - 356*c**2/7.
4*c**2*(c - 1)*(c + 89)/7
Factor 3*s**3 - 75*s**2 - 3*s + 75.
3*(s - 25)*(s - 1)*(s + 1)
Determine u, given that 2*u**5/3 + 4*u**4 + 22*u**3/3 + 4*u**2 = 0.
-3, -2, -1, 0
What is t in 2*t**4 + 4*t**3 - 16*t**2 - 36*t - 18 = 0?
-3, -1, 3
What is v in -23*v**2/4 - 11*v + 1 = 0?
-2, 2/23
Let -2*u**2 - 30*u - 72 = 0. Calculate u.
-12, -3
Let 12*q**4/7 + 74*q**3/7 + 52*q**2/7 - 86*q/7 + 20/7 = 0. Calculate q.
-5, -2, 1/3, 1/2
Find d such that 5*d**3/3 + 185*d**2/6 + 15*d = 0.
-18, -1/2, 0
Determine h so that -2*h**5 + 36*h**4/5 - 14*h**3/5 - 12*h**2/5 = 0.
-2/5, 0, 1, 3
Factor 2*z**2 + 1678*z.
2*z*(z + 839)
Factor -2*n**2/5 + 39*n/5 - 19/5.
-(n - 19)*(2*n - 1)/5
Solve 8*y**5 + 196*y**4 + 618*y**3 + 643*y**2 + 275*y + 42 = 0 for y.
-21, -2, -1/2
What is r in 2*r**5 + 23*r**4 - 25*r**3 - 1098*r**2 - 3564*r - 1512 = 0?
-6, -1/2, 7
Suppose -2*z**4/7 - 18*z**3/7 - 6*z**2/7 + 74*z/7 - 48/7 = 0. Calculate z.
-8, -3, 1
Factor -490*m**3 - 5425*m**2 - 2980*m - 420.
-5*(2*m + 21)*(7*m + 2)**2
Factor 4*w**5 + 116*w**4 + 616*w**3.
4*w**3*(w + 7)*(w + 22)
Let 2*y**4 + 50*y**3 + 378*y**2 + 814*y + 484 = 0. Calculate y.
-11, -2, -1
Solve -2*t**3/3 - 38*t**2/3 - 64*t - 96 = 0 for t.
-12, -4, -3
What is m in 5*m**4 - 450*m**3 = 0?
0, 90
Factor 15*g**5 + 147*g**4/5 + 69*g**3/5 - 3*g**2/5.
3*g**2*(g + 1)**2*(25*g - 1)/5
Determine u, given that -4*u**2 - 1696*u - 179776 = 0.
-212
Find t such that 5*t**5 - 40*t**4 - 120*t**3 + 190*t**2 + 115*t - 150 = 0.
-3, -1, 1, 10
Factor -s**3 - 65*s**2 - 1147*s - 2883.
-(s + 3)*(s + 31)**2
Suppose 3*z**2/8 + 45*z/8 - 51/4 = 0. What is z?
-17, 2
Factor 4*s**5/5 - 36*s**4/5 + 84*s**3/5 - 76*s**2/5 + 24*s/5.
4*s*(s - 6)*(s - 1)**3/5
Factor -24*l**3 + 740*l**2 + 3248*l + 3344.
-4*(l + 2)**2*(6*l - 209)
Find i, given that 3*i**5 - 3*i**4 - 9*i**3 + 15*i**2 - 6*i = 0.
-2, 0, 1
Let -d**4 + 263*d**3 + 1064*d**2 + 1068*d = 0. Calculate d.
-2, 0, 267
Factor 9*p**4 + 294*p**3 + 459*p**2 - 186*p.
3*p*(p + 2)*(p + 31)*(3*p - 1)
Find d such that 25*d**5/7 + 590*d**4/7 - 3764*d**3/7 + 4334*d**2/7 - 1301*d/7 + 116/7 = 0.
-29, 1/5, 1, 4
Determine b, given that -2*b**3/5 + 412*b**2/5 - 19474*b/5 - 183184/5 = 0.
-8, 107
Factor 5*r**3/2 + 515*r**2 + 53045*r/2.
5*r*(r + 103)**2/2
Factor -u**3 - 2*u**2 + u + 2.
-(u - 1)*(u + 1)*(u + 2)
Solve 2*z**4/7 + 50*z**3/7 - 162*z**2/7 + 166*z/7 - 8 = 0 for z.
-28, 1
Solve -5*b**4 - 35*b**3 + 470*b**2 - 340*b - 840 = 0 for b.
-14, -1, 2, 6
Factor p**3/5 + 3*p**2/5 - p/5 - 3/5.
(p - 1)*(p + 1)*(p + 3)/5
Factor i**4/3 + 7*i**3/3 + 2*i**2/3 - 40*i/3.
i*(i - 2)*(i + 4)*(i + 5)/3
What is v in -v**5 - 1012*v**4/3 + 685*v**3/3 + 1014*v**2 - 4*v/3 - 1352/3 = 0?
-338, -1, 2/3, 2
Factor b**4/3 + 9*b**3 + 148*b**2/3 - 252*b - 3920/3.
(b - 5)*(b + 4)*(b + 14)**2/3
Factor -i**4/11 + 12*i**3/11 - 43*i**2/11 + 60*i/11 - 28/11.
-(i - 7)*(i - 2)**2*(i - 1)/11
Factor -3*q**3/2 - 387*q**2/2 - 13725*q/2 - 78141/2.
-3*(q + 7)*(q + 61)**2/2
Factor -4*v**2 - 80*v - 336.
-4*(v + 6)*(v + 14)
Determine s so that 9*s**5/5 - 51*s**4/5 + 31*s**3/5 - s**2 = 0.
0, 1/3, 5
Factor 30*s**3 + 456*s**2/5 + 462*s/5 + 156/5.
6*(s + 1)**2*(25*s + 26)/5
Factor -4*i**2/9 + 856*i/9 - 284/3.
-4*(i - 213)*(i - 1)/9
Determine t so that -2*t**5/7 + 68*t**4/7 - 330*t**3/7 - 4400*t**2/7 - 4000*t/7 = 0.
-5, -1, 0, 20
Solve 2*d**2 - 2720*d + 924800 = 0 for d.
680
Solve 16*t**5 + 84*t**4 + 68*t**3 - 68*t**2 - 84*t - 16 = 0.
-4, -1, -1/4, 1
Suppose 3*h**3 - 264*h**2 + 519*h - 258 = 0. Calculate h.
1, 86
Determine m, given that -m**3/6 + 4*m**2/3 - 13*m/6 + 1 = 0.
1, 6
Determine q, given that 2*q**3 + 86*q**2 + 462*q + 666 = 0.
-37, -3
Factor -d**2 - 344*d - 29584.
-(d + 172)**2
Factor -2*p**3/7 + 800*p**2/7 + 3224*p/7 + 3232/7.
-2*(p - 404)*(p + 2)**2/7
Factor -3*z**2/5 - 21*z/5 - 18/5.
-3*(z + 1)*(z + 6)/5
Determine i so that -50*i**4 + 190*i**3/3 + 772*i**2/9 - 232*i/9 + 16/9 = 0.
-1, 2/15, 2
Find c, given that 22*c**2/7 + 2*c/7 - 24/7 = 0.
-12/11, 1
Factor 2*g**2 + 876*g + 95922.
2*(g + 219)**2
Factor -2*j**2/9 - 110*j/9 - 752/9.
-2*(j + 8)*(j + 47)/9
Factor -f**3 + 12*f**2 - 29*f - 42.
-(f - 7)*(f - 6)*(f + 1)
Solve -18*w**4 + 256*w**3 - 218*w**2 - 3204*w + 720 = 0 for w.
-3, 2/9, 5, 12
Find p, given that 2*p**4/9 - 404*p**3/9 + 20402*p**2/9 = 0.
0, 101
Let 4*i**2/5 + 288*i/5 - 592/5 = 0. Calculate i.
-74, 2
Suppose 21*t**3 - 99*t**2 - 156*t - 36 = 0. What is t?
-1, -2/7, 6
Factor v**3/4 + 5*v**2.