s**2 + 150*s - 145.
-5*(s - 29)*(s - 1)
Find k such that -2*k**2/13 + 50*k/13 = 0.
0, 25
Determine i, given that -i**5 + 69*i**4 = 0.
0, 69
Factor 5*s**4 + 115*s**3 - 515*s**2 + 665*s - 270.
5*(s - 2)*(s - 1)**2*(s + 27)
Factor 6*t**3/5 - 29122*t**2/5 + 35332266*t/5 + 11780658/5.
2*(t - 2427)**2*(3*t + 1)/5
Factor 4*v**3/5 + 12*v**2 - 616*v/5.
4*v*(v - 7)*(v + 22)/5
Solve -9*f**2/5 - 88*f/5 + 4 = 0.
-10, 2/9
Find q such that -9*q**5 + 366*q**4 - 201*q**3 - 1584*q**2 + 948*q + 480 = 0.
-2, -1/3, 1, 2, 40
What is c in c**4/6 + c**3/3 - 4*c**2/3 = 0?
-4, 0, 2
Factor -2*s**2/3 + 182*s/3.
-2*s*(s - 91)/3
Factor -3*r**4/5 + 6*r**3/5 - 6*r/5 + 3/5.
-3*(r - 1)**3*(r + 1)/5
Factor 2*o**2 + 64*o + 62.
2*(o + 1)*(o + 31)
Let -a**3 + 30*a**2 - 192*a - 512 = 0. Calculate a.
-2, 16
Find n such that 5*n**3 + 190*n**2 + 2325*n + 9000 = 0.
-15, -8
Factor -4*a**2 - 124*a - 232.
-4*(a + 2)*(a + 29)
Factor -r**3 + 144*r**2 + 291*r + 146.
-(r - 146)*(r + 1)**2
Factor -65*j**3 - 275*j**2 + 640*j - 300.
-5*(j - 1)*(j + 6)*(13*j - 10)
What is s in 2*s**5 + 86*s**4 + 1250*s**3 + 6402*s**2 + 3060*s - 10800 = 0?
-15, -12, -2, 1
Factor -2*s**5 + 470*s**4 - 44180*s**3 + 2076460*s**2 - 48796810*s + 458690014.
-2*(s - 47)**5
What is x in 9*x**4/2 - 633*x**3/2 - 447*x**2/2 + 1497*x/2 - 213 = 0?
-2, 1/3, 1, 71
Solve 4*s**5 + 12*s**4 - 68*s**3 - 108*s**2 + 208*s + 240 = 0.
-5, -2, -1, 2, 3
Factor -2*x**4 + 32*x**3 - 92*x**2 - 288*x - 162.
-2*(x - 9)**2*(x + 1)**2
Solve 2*o**4/3 + 17*o**3 + 98*o**2 + 416*o/3 - 96 = 0 for o.
-18, -4, 1/2
Factor 147*c**3/8 - 2751*c**2/8 + 1767*c - 2883/2.
3*(c - 1)*(7*c - 62)**2/8
Let 2*k**3/7 - 68*k**2/7 + 190*k/7 - 124/7 = 0. Calculate k.
1, 2, 31
Solve w**3 - 3*w + 2 = 0.
-2, 1
Find m, given that -4*m**5/7 + 40*m**4/7 + 208*m**3/7 + 32*m**2 = 0.
-2, 0, 14
Determine g, given that 10*g**3/13 - 4*g**2/13 - 10*g/13 + 4/13 = 0.
-1, 2/5, 1
Factor -3*z**4/4 + 27*z**3/4 + 15*z**2/2.
-3*z**2*(z - 10)*(z + 1)/4
Determine a so that -5*a**2/7 - 664*a/7 = 0.
-664/5, 0
Let -15*u**5 - 80*u**4 - 45*u**3 + 160*u**2 + 60*u - 80 = 0. Calculate u.
-4, -2, -1, 2/3, 1
Let -4*k**4/3 + 68*k**3/3 + 112*k**2/3 - 752*k/3 + 192 = 0. Calculate k.
-4, 1, 2, 18
What is o in 3*o**4 + 7*o**3 - 4*o = 0?
-2, -1, 0, 2/3
Suppose -32*q**5/19 + 368*q**4/19 + 31822*q**3/19 + 15638*q**2/19 - 13808*q/19 + 104 = 0. Calculate q.
-26, -1, 1/4, 38
Find n, given that -n**3/2 + 7*n**2 + 51*n/2 = 0.
-3, 0, 17
Determine v, given that -2*v**4/5 - 2796*v**3/5 + 1120*v**2 = 0.
-1400, 0, 2
Determine a so that -a**5/4 - 7*a**4/4 + 3*a**3/4 + 23*a**2/4 + 7*a/2 = 0.
-7, -1, 0, 2
Determine h so that -h**3 + 3639*h**2 - 4414107*h + 1784770597 = 0.
1213
Factor -r**2/6 + 12*r.
-r*(r - 72)/6
Factor -4*o**4 + 40*o**3 - 36*o**2.
-4*o**2*(o - 9)*(o - 1)
Find k such that -20*k**3 + 3072*k**2 - 117348*k - 47432 = 0.
-2/5, 77
Solve -2*s**3 + 42*s**2 + 200*s = 0.
-4, 0, 25
Find y such that 2*y**2/7 + 242*y/7 + 240/7 = 0.
-120, -1
Factor -392*k**3 - 2348*k**2 - 3504*k + 36.
-4*(k + 3)**2*(98*k - 1)
Factor -5*y**2 + 10*y + 495.
-5*(y - 11)*(y + 9)
Factor -2*d**2/11 + 1024*d/11 + 2056/11.
-2*(d - 514)*(d + 2)/11
Factor -16*m**3 - 28*m**2 + 248*m - 60.
-4*(m - 3)*(m + 5)*(4*m - 1)
Solve 125*j**2 + 3880*j + 155 = 0.
-31, -1/25
Factor 3*x**2 - 30*x - 7728.
3*(x - 56)*(x + 46)
Solve r**5/3 - 10*r**4/3 + 7*r**3 + 4*r**2/3 - 28*r/3 = 0.
-1, 0, 2, 7
Suppose d**4/8 - 239*d**3/8 - 729*d**2/4 - 733*d/2 - 245 = 0. What is d?
-2, 245
Factor -4*o**3 + 332*o**2 - 7360*o + 19200.
-4*(o - 40)**2*(o - 3)
Factor -3*g**2/5 - 68*g/5 + 23/5.
-(g + 23)*(3*g - 1)/5
Suppose 4*t**3 + 4*t**2 - 4*t - 4 = 0. Calculate t.
-1, 1
Factor -3*p**3/7 - 33*p**2/7 + 87*p/7 + 117/7.
-3*(p - 3)*(p + 1)*(p + 13)/7
Factor 3*v**2 - 609*v.
3*v*(v - 203)
Solve 3*j**2/5 + 81*j/5 = 0.
-27, 0
Factor 2*p**2/3 - 250*p/3 + 15625/6.
(2*p - 125)**2/6
Let 19*r**5/9 + 308*r**4/9 + 1736*r**3/9 + 4000*r**2/9 + 1168*r/3 + 64 = 0. What is r?
-6, -2, -4/19
Factor 2*l**4 + 12*l**3 + 18*l**2 + 8*l.
2*l*(l + 1)**2*(l + 4)
Solve 2*x**2 - 26*x - 60 = 0 for x.
-2, 15
Factor -2*x**3 - 4*x**2 + 14*x - 8.
-2*(x - 1)**2*(x + 4)
Factor -p**4 - 16*p**3 - 59*p**2 - 44*p.
-p*(p + 1)*(p + 4)*(p + 11)
Factor -3*p**3/4 + 189*p**2/4.
-3*p**2*(p - 63)/4
Find h, given that 2*h**2/9 - 1168*h/3 - 3506/9 = 0.
-1, 1753
Suppose 2*j**3/7 - 12*j**2/7 - 2*j/7 + 12/7 = 0. Calculate j.
-1, 1, 6
Solve w**5/6 + 3*w**4 + 10*w**3 - 100*w**2/3 = 0 for w.
-10, 0, 2
Factor -726*z**3/7 + 9746*z**2/7 - 9984*z/7 + 2664/7.
-2*(3*z - 37)*(11*z - 6)**2/7
Suppose 16*a**4 + 2488*a**3 + 96097*a**2 - 48516*a + 6084 = 0. What is a?
-78, 1/4
Find t such that t**5 + 9*t**4 - 36*t**3 = 0.
-12, 0, 3
Solve -2*w**3/3 + 476*w**2/3 + 958*w/3 + 160 = 0.
-1, 240
Factor 11*b**3 + 134*b**2 + 409*b + 70.
(b + 5)*(b + 7)*(11*b + 2)
Determine p, given that 2*p**3/3 + 32*p**2/3 + 58*p/3 + 28/3 = 0.
-14, -1
What is h in 2*h**3/3 - 6*h**2 - 2*h/3 + 6 = 0?
-1, 1, 9
Factor -h**3/8 + 7*h**2/4 + 89*h/8 + 57/4.
-(h - 19)*(h + 2)*(h + 3)/8
Determine u so that 2*u**4/7 - 10*u**3 + 606*u**2/7 - 1242*u/7 = 0.
0, 3, 9, 23
What is f in -f**2/4 - 2341*f/2 - 5480281/4 = 0?
-2341
Find o such that 3*o**3/8 - 195*o**2/8 + 24*o = 0.
0, 1, 64
Factor x**2/4 - 11*x/2 + 21/4.
(x - 21)*(x - 1)/4
Let -2*z**5 + 12*z**4 - 10*z**3 = 0. Calculate z.
0, 1, 5
Factor -3*s**3/2 + 453*s**2/2 - 666*s.
-3*s*(s - 148)*(s - 3)/2
Factor -3*o**3 - 1386*o**2 - 1377*o + 2766.
-3*(o - 1)*(o + 2)*(o + 461)
What is t in 7*t**4/4 - 761*t**3/4 + 10475*t**2/2 - 3591*t - 1458 = 0?
-2/7, 1, 54
Factor o**4 + 123*o**3 + 968*o**2 - 195780*o + 194688.
(o - 32)*(o - 1)*(o + 78)**2
Factor g**5/6 - 2*g**4 + 7*g**3/2 - 5*g**2/3.
g**2*(g - 10)*(g - 1)**2/6
What is k in -3*k**3/5 - 18*k**2 - 864*k/5 - 2592/5 = 0?
-12, -6
Factor 2880*g**3 - 2640*g**2 - 235*g - 5.
5*(g - 1)*(24*g + 1)**2
Determine r so that -3*r**2/2 + 1194*r - 237606 = 0.
398
Determine b so that 2*b**2/13 + 8*b/13 = 0.
-4, 0
Solve -w**2/8 + 6031*w/4 - 36372961/8 = 0 for w.
6031
Factor -w**3 + 18*w**2 - 5*w - 204.
-(w - 17)*(w - 4)*(w + 3)
Let -10*w**4/7 - 8*w**3/7 + 22*w**2/7 - 4*w/7 = 0. Calculate w.
-2, 0, 1/5, 1
Find p, given that 5*p**5 - 20*p**4 + 30*p**3 - 20*p**2 + 5*p = 0.
0, 1
Factor f**2/4 - 4*f + 12.
(f - 12)*(f - 4)/4
Determine x, given that 2*x**2/11 - 42*x/11 - 1184/11 = 0.
-16, 37
What is a in -9*a**5 - 66*a**4 - 183*a**3 - 234*a**2 - 132*a - 24 = 0?
-2, -1, -1/3
Factor t**3/3 + 5*t**2 - 37*t/3 - 17.
(t - 3)*(t + 1)*(t + 17)/3
Factor 4*f**2 - 4024*f.
4*f*(f - 1006)
Find h, given that 9*h**2 - 66*h + 96 = 0.
2, 16/3
Factor 6*t**4 - 40*t**3 + 78*t**2 - 60*t + 16.
2*(t - 4)*(t - 1)**2*(3*t - 2)
Let -3*d**4/7 + 69*d**3/7 + 150*d**2/7 = 0. What is d?
-2, 0, 25
Determine d so that -9*d**3/2 - 5*d**2 + 8*d = 0.
-2, 0, 8/9
What is d in 3*d**3 - 9*d**2 - 27*d - 15 = 0?
-1, 5
Suppose 2*m**3/3 + 8*m**2/3 + 8*m/3 = 0. What is m?
-2, 0
Solve 20*r**4 - 904*r**3/3 + 1132*r**2 + 136*r/3 - 448 = 0.
-3/5, 2/3, 7, 8
Determine f so that -2*f**3 + 2*f**2 + 84*f = 0.
-6, 0, 7
Let -5*z**3 + 1740*z**2 + 10575*z + 15930 = 0. Calculate z.
-3, 354
What is a in -3*a**5/5 - 18*a**4/5 + 3*a**3/5 + 114*a**2/5 - 96/5 = 0?
-4, -1, 1, 2
Factor 4*f**3 + 256*f**2 - 260*f.
4*f*(f - 1)*(f + 65)
Let -v**5/6 - 5*v**4/3 - 11*v**3/3 + 16*v**2/3 + 95*v/6 + 25/3 = 0. Calculate v.
-5, -1, 2
Solve -2*q**3/7 - 120*q**2/7 - 1054*q/7 + 168 = 0.
-49, -12, 1
Factor -3*h**2/8 + 2985*h/8 - 2979/4.
-3*(h - 993)*(h - 2)/8
Solve -2*d**3 - 271*d**2 + 136*d = 0.
-136, 0, 1/2
Factor -5*v**2/9 + 73*v/9 + 10/3.
-(v - 15)*(5*v + 2)/9
Suppose 828*m**4 - 4960*m**3 + 9888*m**2 - 6528*m - 64 = 0. What is m?
-2/207, 2
Suppose -3*p**4 - 372*p**3 - 11898*p**2 - 22692*p - 11163 = 0. Calculate p.
-61, -1
What is t in 2*t**2/9 - 202*t/9 + 380/3 = 0?
6, 95
Factor -980*t**2 + 10788*t - 88.
-4*(t - 11)*(245*t - 2)
Factor 3*h**3 + 60*h**2 - 873*h + 810.
3*(h - 9)*(h - 1)*(h + 30)
Find z, given that 4*z**5/7 + 900*z**4/7 + 5308*z**3/7 + 11436*z**2/7 + 1504*z + 3504/7 = 0.
-219, -2, -1
Find q, given that -75*q**5 + 8355*q**4/7 - 1314*q**3/7 - 5196*q**2/7 - 1320*q/7 = 0.
-2/5, 0, 1, 110/7
Factor -32*r**3/15 - 274*r**2/5 - 1716*r/5 + 338/3.
-2*(r + 13)**2*(16*r - 5)/15
Factor 4*g**3 + 4*g**2 - 16*g - 16.
4*(g - 2)*(g + 1)*(g + 2)
Determine u so that u**5 - 10*u**4 + 33*u**3 - 44*u**2 + 