-35*s**2 - 15*s = 0.
-3/7, 0
Let -25*t**4 - 165*t**3 - 205*t**2 - 15*t + 50 = 0. Calculate t.
-5, -1, 2/5
Factor d**3/2 + 15*d**2/2 + 13*d.
d*(d + 2)*(d + 13)/2
Determine t so that -459*t**2 - 897*t/2 + 21/2 = 0.
-1, 7/306
Factor 2*n**2/3 - 22*n/3 + 16.
2*(n - 8)*(n - 3)/3
Factor f**2/6 + 103*f/6 + 101/3.
(f + 2)*(f + 101)/6
Determine j so that 24*j**4/5 + 162*j**3/5 + 219*j**2/5 + 9*j = 0.
-5, -3/2, -1/4, 0
Solve -2*l**4 - 23*l**3 - 28*l**2 + 20*l = 0.
-10, -2, 0, 1/2
Factor -8*k**2/9 + 134*k/9 - 32/3.
-2*(k - 16)*(4*k - 3)/9
Factor -3*p**3 - 72*p**2 - 60*p + 1584.
-3*(p - 4)*(p + 6)*(p + 22)
Let -94*y**3/9 - 98*y**2/9 - 4*y/9 = 0. Calculate y.
-1, -2/47, 0
Factor p**3/4 + 137*p**2/8 + 67*p/8 - 17/2.
(p + 1)*(p + 68)*(2*p - 1)/8
Factor -5*b**3 + 145*b**2 - 275*b + 135.
-5*(b - 27)*(b - 1)**2
Factor -3*m**5 - 3*m**4 + 6*m**3 + 6*m**2 - 3*m - 3.
-3*(m - 1)**2*(m + 1)**3
Factor 2*x**4/11 - 16*x**3/11 + 36*x**2/11 - 54/11.
2*(x - 3)**3*(x + 1)/11
Suppose o**5/2 - 9*o**4/2 + 31*o**3/2 - 51*o**2/2 + 20*o - 6 = 0. Calculate o.
1, 2, 3
Let -2*g**4/9 - 20*g**3 - 1274*g**2/9 + 344*g - 1640/9 = 0. Calculate g.
-82, -10, 1
Factor 245*d**3 - 350*d**2 - 260*d - 40.
5*(d - 2)*(7*d + 2)**2
What is w in -2*w**4 - 62*w**3 + 666*w**2 - 2106*w + 2160 = 0?
-40, 3
Suppose 3*c**3/7 - 3*c**2/7 - 15*c/7 - 9/7 = 0. Calculate c.
-1, 3
Factor -w**2/5 - 73*w/5.
-w*(w + 73)/5
Let -3*d**4 + 627*d**2 - 3888*d + 3264 = 0. What is d?
-17, 1, 8
Factor 2*f**5 + 76*f**4 + 1008*f**3 + 4708*f**2 - 4114*f - 63888.
2*(f - 3)*(f + 8)*(f + 11)**3
Factor -5*c**3 - 20*c**2 - 5*c + 30.
-5*(c - 1)*(c + 2)*(c + 3)
Find s, given that 4*s**3/3 + 172*s**2/3 + 600*s = 0.
-25, -18, 0
Factor -3*j**4/4 - 15*j**3/4 - 27*j**2/4 - 21*j/4 - 3/2.
-3*(j + 1)**3*(j + 2)/4
Factor 76*g**4 - 220*g**3 + 128*g**2 + 16*g.
4*g*(g - 2)*(g - 1)*(19*g + 2)
Find k, given that -4*k**2 + 340*k - 336 = 0.
1, 84
Solve -5*c**4/6 - 86*c**3/3 + 107*c**2/6 + 35*c/3 = 0 for c.
-35, -2/5, 0, 1
Factor -b**4 - 460*b**3 - 53812*b**2 - 209760*b - 207936.
-(b + 2)**2*(b + 228)**2
Let -5*r**5 + 160*r**4 - 1460*r**3 + 720*r**2 + 25920*r + 34560 = 0. Calculate r.
-2, 12
Factor 6*h**4 - 22*h**3 + 10*h**2 + 6*h.
2*h*(h - 3)*(h - 1)*(3*h + 1)
Let 100*p**4 + 716*p**3/3 + 160*p**2/3 - 48*p = 0. Calculate p.
-2, -18/25, 0, 1/3
Factor 432*j**3 - 1584*j**2 + 780*j + 1352.
4*(3*j + 2)*(6*j - 13)**2
Let -2*s**4 + 12*s**2 + 16*s + 6 = 0. What is s?
-1, 3
Suppose -5*h**5 - 40*h**4 - 75*h**3 + 40*h**2 + 80*h = 0. Calculate h.
-4, -1, 0, 1
Find b such that 15*b**5/7 - 129*b**4/7 + 417*b**3/7 - 627*b**2/7 + 432*b/7 - 108/7 = 0.
3/5, 1, 2, 3
Factor 4*u**2/5 - 11*u/5 + 7/5.
(u - 1)*(4*u - 7)/5
Factor 4*b**2 - 2736*b + 2732.
4*(b - 683)*(b - 1)
Find h, given that -3*h**4 + 12*h**3 - 6*h**2 - 12*h + 9 = 0.
-1, 1, 3
Find u such that 2*u**3/9 - 21818*u**2/9 + 6612672*u - 6610248 = 0.
1, 5454
Factor 4*c**4/7 - 1812*c**3/7 - 3636*c**2/7 - 260*c.
4*c*(c - 455)*(c + 1)**2/7
Let q**4 + 17*q**3 + 57*q**2 - 189*q - 486 = 0. What is q?
-9, -2, 3
Factor -y**4/3 - 69*y**3 - 3536*y**2 + 10816*y/3.
-y*(y - 1)*(y + 104)**2/3
Factor 2*a**2 - 3168*a + 6328.
2*(a - 1582)*(a - 2)
Determine s, given that -21*s**5 + 2967*s**4 - 15294*s**3 + 27060*s**2 - 17976*s + 3264 = 0.
2/7, 1, 2, 136
Factor 2*g**3 + 116*g**2 + 1682*g.
2*g*(g + 29)**2
Solve 3*y**2 + 69*y - 72 = 0.
-24, 1
Factor -4*o**3 - 24*o**2 - 36*o - 16.
-4*(o + 1)**2*(o + 4)
Factor -4*h**3/5 + 868*h**2/5 + 704*h + 3536/5.
-4*(h - 221)*(h + 2)**2/5
Solve -2*h**3 + 64*h**2 - 552*h + 1440 = 0.
6, 20
Find q, given that -2*q**4/11 - 306*q**3/11 + 5620*q**2/11 - 27072*q/11 + 21760/11 = 0.
-170, 1, 8
What is c in -3*c**3 + 174*c**2 - 2391*c + 2220 = 0?
1, 20, 37
Factor 3*w**2 - 435*w - 438.
3*(w - 146)*(w + 1)
Find c such that -2*c**4/5 + 52*c**3/5 - 46*c**2/5 - 20*c = 0.
-1, 0, 2, 25
Find g, given that -3*g**4/8 + 33*g**3/8 + 333*g**2/8 + 783*g/8 + 243/4 = 0.
-3, -1, 18
Solve 5*a**2 - 130*a - 135 = 0.
-1, 27
Let -l**3/4 - 219*l**2/4 - 435*l/4 - 217/4 = 0. Calculate l.
-217, -1
Determine y so that 2*y**4/3 - 358*y**3/3 - 722*y**2/3 - 362*y/3 = 0.
-1, 0, 181
Find x, given that 2*x**2/5 + 8364*x/5 + 8744562/5 = 0.
-2091
Solve -h**3/2 + 67*h**2/2 - 544*h - 578 = 0 for h.
-1, 34
Let -14*c**4/9 + 580*c**3/3 + 1282*c**2/9 - 1336*c/3 + 1000/9 = 0. What is c?
-2, 2/7, 1, 125
Factor -u**2/5 + 27*u/5 - 28.
-(u - 20)*(u - 7)/5
Factor -b**4/3 + 2*b**3 - 5*b**2/3.
-b**2*(b - 5)*(b - 1)/3
Factor -q**3 + 2181*q**2 - 1585587*q + 384240583.
-(q - 727)**3
Factor 15*h**2 + 220*h + 2420/3.
5*(3*h + 22)**2/3
Solve -2*g**3/11 + 76*g**2/11 + 158*g/11 + 80/11 = 0 for g.
-1, 40
Suppose -20*l**4 + 466*l**3/7 - 414*l**2/7 + 80*l/7 + 8/7 = 0. Calculate l.
-1/14, 2/5, 1, 2
Factor -4*b**2 + 6640*b - 2755600.
-4*(b - 830)**2
Factor -5*f**4 - 130*f**3 + 900*f**2 - 1880*f + 1280.
-5*(f - 2)**3*(f + 32)
What is c in -c**5/2 + 201*c**4/2 - 199*c**3 = 0?
0, 2, 199
Let 5*o**5 + 45*o**4 - 3485*o**3 + 34415*o**2 - 97680*o + 84700 = 0. What is o?
-35, 2, 11
Factor -5*h**3/4 - 5*h**2/4 + 20*h - 25.
-5*(h - 2)**2*(h + 5)/4
Let -51*g**4 + 193*g**3 - 226*g**2 + 92*g - 8 = 0. What is g?
2/17, 2/3, 1, 2
Determine u so that -2*u**3/21 - 74*u**2/21 - 142*u/21 - 10/3 = 0.
-35, -1
Let 3*f**3 + 18*f**2 - 45*f + 24 = 0. Calculate f.
-8, 1
Suppose 2*h**3/9 - 20*h**2/3 + 50*h = 0. Calculate h.
0, 15
Factor -303*t**4 + 912*t**3 - 918*t**2 + 312*t - 3.
-3*(t - 1)**3*(101*t - 1)
Factor -5*h**5 - 60*h**4 + 480*h**3 + 8960*h**2 + 30720*h.
-5*h*(h - 12)*(h + 8)**3
Factor -3*q**3 - 72*q**2 + 165*q + 234.
-3*(q - 3)*(q + 1)*(q + 26)
Factor -4*f**3/3 - 92*f**2/3 + 32*f.
-4*f*(f - 1)*(f + 24)/3
Factor -4*j**3 - 300*j**2 - 5148*j + 18252.
-4*(j - 3)*(j + 39)**2
Let o**5/9 + o**4/9 - o**3/3 - 5*o**2/9 - 2*o/9 = 0. What is o?
-1, 0, 2
Factor 4*f**5 + 6*f**4 - 2*f**2.
2*f**2*(f + 1)**2*(2*f - 1)
Factor -22*r**2 + 470*r/7 - 24/7.
-2*(r - 3)*(77*r - 4)/7
Let 4*o**2 + 7*o - 2 = 0. What is o?
-2, 1/4
Suppose 8*h**4 + 184*h**3 + 1354*h**2 + 3344*h + 2166 = 0. What is h?
-19/2, -3, -1
What is u in -u**3/2 - u**2 + 15*u/2 + 18 = 0?
-3, 4
Factor -3*u**4 + 21*u**3 + 51*u**2 + 27*u.
-3*u*(u - 9)*(u + 1)**2
Solve -2*d**4/5 + 16*d**3/5 + 2*d**2/5 - 16*d/5 = 0 for d.
-1, 0, 1, 8
Factor s**2 + 40*s + 39.
(s + 1)*(s + 39)
Find k, given that 8*k**4/9 + 26*k**3/9 - 22*k**2/3 + 22*k/9 + 10/9 = 0.
-5, -1/4, 1
Factor -m**3/6 + 371*m**2/6 - 739*m/6 + 123/2.
-(m - 369)*(m - 1)**2/6
Factor -d**2/2 + 33*d/2.
-d*(d - 33)/2
Factor -3*a**2 - 18*a + 273.
-3*(a - 7)*(a + 13)
Let -8*b**3 + 70*b**2/3 - 34*b/3 - 20/3 = 0. Calculate b.
-1/3, 5/4, 2
Suppose -d**2/6 + 3/2 = 0. Calculate d.
-3, 3
Factor 98*a**3 + 658*a**2 - 194*a + 14.
2*(a + 7)*(7*a - 1)**2
Determine w, given that w**3/3 + 23*w**2/3 + 80*w/3 + 76/3 = 0.
-19, -2
What is y in 4*y**3 - 60*y**2 + 192*y - 176 = 0?
2, 11
Let -5*n**2 + 110*n - 200 = 0. What is n?
2, 20
Let 5*t**2 + 55*t - 1050 = 0. What is t?
-21, 10
Solve 2*d**4/7 - 88*d**3/7 + 138*d**2 + 88*d/7 - 968/7 = 0.
-1, 1, 22
Let -7*w**4/5 + 82*w**3/5 - 47*w**2/5 - 328*w/5 + 60 = 0. What is w?
-2, 1, 2, 75/7
Let -9*a**5 + 12*a**4 - a**3 - 2*a**2 = 0. Calculate a.
-1/3, 0, 2/3, 1
Factor -4*h**2 + 684*h.
-4*h*(h - 171)
Solve 6*j**5 - 105*j**4/2 + 225*j**3/2 - 165*j**2/2 + 15*j/2 + 9 = 0 for j.
-1/4, 1, 6
Factor -3*u**5 - 24*u**4 + 27*u**3.
-3*u**3*(u - 1)*(u + 9)
Factor -4*i**2/7 + 50*i/7 + 32.
-2*(i - 16)*(2*i + 7)/7
Find x, given that -3*x**5/5 + 18*x**4/5 + 3*x**3/5 - 18*x**2/5 = 0.
-1, 0, 1, 6
Factor 6*k**2/5 + 5253*k/5 + 7866/5.
3*(k + 874)*(2*k + 3)/5
What is k in -5*k**2 - 93820*k - 440109620 = 0?
-9382
What is v in v**5 + 7*v**4 - 49*v**3 - 55*v**2 = 0?
-11, -1, 0, 5
Factor -2*d**3/7 - 32*d**2/7 + 38*d/7 + 68/7.
-2*(d - 2)*(d + 1)*(d + 17)/7
Suppose -2*q**4 + 10*q**3 + 6*q**2 - 26*q - 20 = 0. What is q?
-1, 2, 5
Factor -2*n**3/3 + 166*n**2/3 + 338*n/3 + 170/3.
-2*(n - 85)*(n + 1)**2/3
Find t, given that 2*t**3 - 14*t**2 + 12*t = 0.
0, 1, 6
Let 25*g**4 + 1030*g**3 + 10089*g**2 - 8572*g + 1748 = 0. What is g?
-23, -19, 2/5
Find a, given that -212*a**4/3 - 1280*a**3/3 + 800*a**2/3 + 5120*a/3 + 64 = 0.
-6, -2, -2/53, 2
Determine x so that -3*x**2 + 39*x + 90 = 0.
-2, 15
Suppose -2*s**3/5 - 410*s**2 + 8224*s/5 - 8232/5 = 0. Calculate s.
-1029, 2
Determine t, given that 3*t**4 - 1266*t**3 + 12969