**2 + 13*u + 660 = 0 for u.
-20, 33
Suppose -2*i**5 - 728*i**4/3 - 716*i**3/9 + 1208*i**2/9 - 242*i/9 = 0. What is i?
-121, -1, 0, 1/3
Determine l so that -11*l**3/10 - 18*l**2/5 + 11*l/10 + 18/5 = 0.
-36/11, -1, 1
Let -7*p**5/2 - 3*p**4/2 + 7*p**3 + 3*p**2 - 7*p/2 - 3/2 = 0. Calculate p.
-1, -3/7, 1
Determine o, given that -2*o**4/9 - 374*o**3/9 + 126*o**2 - 1138*o/9 + 380/9 = 0.
-190, 1
Solve k**4 - 5*k**3 - 8*k**2 + 12*k = 0.
-2, 0, 1, 6
Factor -3*h**2/7 - 27*h/7 - 24/7.
-3*(h + 1)*(h + 8)/7
Factor -21*g**3/2 + 60*g**2 + 567*g/2 + 243.
-3*(g - 9)*(g + 2)*(7*g + 9)/2
Factor -64*r**2 - 388*r - 24.
-4*(r + 6)*(16*r + 1)
Factor -14*s**3 + 1158*s**2 - 4092*s - 1264.
-2*(s - 79)*(s - 4)*(7*s + 2)
Factor 2*x**3/5 - 4*x**2/5 - 6*x/5.
2*x*(x - 3)*(x + 1)/5
Let -2*g**3 + 138*g**2 - 1008*g + 1952 = 0. Calculate g.
4, 61
Factor q**2/3 + 23*q/3 + 22/3.
(q + 1)*(q + 22)/3
Factor 3*n**4 + 28*n**3 + 7*n**2 - 18*n.
n*(n + 1)*(n + 9)*(3*n - 2)
Factor 2*w**5/9 + 2*w**4/9 - 2*w**3/3 - 10*w**2/9 - 4*w/9.
2*w*(w - 2)*(w + 1)**3/9
Factor 2*g**2/9 + 1192*g/9 - 1600/3.
2*(g - 4)*(g + 600)/9
Factor 4*j**3/3 + 368*j**2/3 + 9460*j/3 + 14792.
4*(j + 6)*(j + 43)**2/3
Let -g**2/4 + 7*g/4 - 3 = 0. What is g?
3, 4
Let c**5/8 + 3*c**4/8 - 5*c**3/2 + 8*c - 6 = 0. What is c?
-6, -2, 1, 2
Factor q**3/8 + 1015*q**2/8 - 763*q/2 + 509/2.
(q - 2)*(q - 1)*(q + 1018)/8
Factor l**4/2 + 3*l**3 - 8*l**2.
l**2*(l - 2)*(l + 8)/2
Factor -d**2/3 + 13*d/3.
-d*(d - 13)/3
What is q in 3*q**3 - 387*q**2 + 16641*q - 238521 = 0?
43
Let -u**4/8 + u**3/4 + 7*u**2 + 39*u/4 - 135/8 = 0. Calculate u.
-5, -3, 1, 9
What is z in -3*z**2/5 + 429*z/5 + 174 = 0?
-2, 145
Find m such that -12*m**5 - 12*m**4 + 153*m**3 + 300*m**2 + 183*m + 36 = 0.
-3, -1, -1/2, 4
What is f in 2*f**5/21 - 24*f**4/7 + 258*f**3/7 - 320*f**2/3 + 512*f/7 = 0?
0, 1, 3, 16
Suppose -21*y**3 + 87*y**2 - 552*y/7 + 144/7 = 0. Calculate y.
4/7, 3
Let -n**4/2 + 13*n**3/2 - 11*n**2 = 0. What is n?
0, 2, 11
Factor -7*f**2 - 310*f - 88.
-(f + 44)*(7*f + 2)
Factor n**3/2 - 59*n**2/2 + 420*n + 450.
(n - 30)**2*(n + 1)/2
What is y in -y**2/3 - 143*y + 432 = 0?
-432, 3
Factor -4*a**4/5 + 18*a**3/5 - 24*a**2/5 + 2*a.
-2*a*(a - 1)**2*(2*a - 5)/5
Factor 2*h**3 - 1132*h**2 - 2270*h - 1136.
2*(h - 568)*(h + 1)**2
Solve w**4/2 - 216*w**3 - 435*w**2/2 + 433*w = 0.
-2, 0, 1, 433
Suppose 3*o**2/8 - 3*o/4 = 0. What is o?
0, 2
Factor -3*y**4 - 2646*y**3 - 2643*y**2.
-3*y**2*(y + 1)*(y + 881)
Let 3*y**5 - 294*y**4 + 291*y**3 = 0. Calculate y.
0, 1, 97
Determine m, given that m**5 + 6*m**4 - 37*m**3 - 222*m**2 + 36*m + 216 = 0.
-6, -1, 1, 6
Suppose 5*o**3 - 20*o**2 - 55*o - 30 = 0. What is o?
-1, 6
Let 3*d**5/10 - 19*d**4/10 - 3*d**3/2 + 7*d**2/10 = 0. What is d?
-1, 0, 1/3, 7
Factor -9*y**3 + 124*y**2 - 269*y - 66.
-(y - 11)*(y - 3)*(9*y + 2)
Solve i**2/6 + 5*i/6 - 6 = 0.
-9, 4
Factor t**3/11 + 13*t**2/11 + 32*t/11 + 20/11.
(t + 1)*(t + 2)*(t + 10)/11
Solve 5*g**2 + 12180*g + 7417620 = 0 for g.
-1218
Determine y so that 3*y**2/7 + 372*y/7 + 11532/7 = 0.
-62
Suppose 9*n**4/4 - 181*n**3/2 + 920*n**2 - 200*n = 0. What is n?
0, 2/9, 20
Factor 6*s**2 + 25*s/4 + 1/4.
(s + 1)*(24*s + 1)/4
Factor -2*l**2/7 - 1142*l/7 - 2276/7.
-2*(l + 2)*(l + 569)/7
Factor 2*o**3 + 34*o**2 - 312*o + 576.
2*(o - 4)*(o - 3)*(o + 24)
Solve -3*l**5 - 62*l**4 - 247*l**3 - 384*l**2 - 260*l - 64 = 0 for l.
-16, -2, -1, -2/3
Let 2*n**4/3 - 38*n**3/3 + 82*n**2 - 602*n/3 + 392/3 = 0. What is n?
1, 4, 7
Factor 8*f**2/3 + 14*f - 12.
2*(f + 6)*(4*f - 3)/3
Suppose -t**4/4 + t**3/4 + t**2/4 - t/4 = 0. Calculate t.
-1, 0, 1
Determine k, given that 5*k**3 - 1495*k**2 + 111000*k + 112500 = 0.
-1, 150
Factor 3*v**4 - 18*v**2 + 24*v - 9.
3*(v - 1)**3*(v + 3)
Factor y**3/6 - 131*y**2/3 - 88*y.
y*(y - 264)*(y + 2)/6
Factor n**4 - 26*n**3 - 27*n**2.
n**2*(n - 27)*(n + 1)
Factor 2*a**3/17 + 18*a**2/17 - 34*a + 1518/17.
2*(a - 11)*(a - 3)*(a + 23)/17
Factor -129*w**4/2 + 132*w**3 - 6*w**2.
-3*w**2*(w - 2)*(43*w - 2)/2
Factor 4*d**3 + 152*d**2 - 4*d - 152.
4*(d - 1)*(d + 1)*(d + 38)
Factor 220*q**2 + 4*q.
4*q*(55*q + 1)
Factor -c**3 - 4*c**2.
-c**2*(c + 4)
Find g such that -5*g**5 + 80*g**4 - 225*g**3 - 1670*g**2 + 8480*g - 9600 = 0.
-5, 2, 3, 8
Suppose -2*i**2/23 + 192*i/23 - 376/23 = 0. What is i?
2, 94
Determine u so that -9*u**4/2 + 6*u**3 + 15*u**2/2 - 3*u = 0.
-1, 0, 1/3, 2
Factor -3*m**3/2 - 17*m**2 - 18*m + 20.
-(m + 2)*(m + 10)*(3*m - 2)/2
Factor -4*y**4/9 - 32*y**3/9 - 8*y**2 - 64*y/9 - 20/9.
-4*(y + 1)**3*(y + 5)/9
Factor 2*q**4/7 - 18*q**3/7 + 48*q**2/7 - 32*q/7.
2*q*(q - 4)**2*(q - 1)/7
Suppose 9409*x**2 + 388*x + 4 = 0. What is x?
-2/97
Factor 5*z**4 - 107*z**3 + 642*z**2 - 740*z + 200.
(z - 10)**2*(z - 1)*(5*z - 2)
Factor c**3/4 + 7*c**2/4 - c - 7.
(c - 2)*(c + 2)*(c + 7)/4
Suppose -4*x**4 + 64*x**3 + 304*x**2 + 320*x = 0. Calculate x.
-2, 0, 20
Factor 2*d**4/7 + 8268*d**3/7 + 8528426*d**2/7 - 34212984*d/7 + 34246088/7.
2*(d - 2)**2*(d + 2069)**2/7
What is c in 4*c**3 - 344*c**2 - 1084*c + 1424 = 0?
-4, 1, 89
Factor -4*d**2 + 32*d - 64.
-4*(d - 4)**2
Suppose -2*w**3/3 - 64*w**2/3 = 0. What is w?
-32, 0
Factor -5*p**3/2 + 185*p**2/2 - 1955*p/2 + 4335/2.
-5*(p - 17)**2*(p - 3)/2
Factor -5*j**3 - 15*j**2 - 10*j.
-5*j*(j + 1)*(j + 2)
Suppose -2*k**2/3 - 5936*k/3 = 0. What is k?
-2968, 0
Factor -2*r**2/5 - 4008*r/5 - 2008008/5.
-2*(r + 1002)**2/5
Factor 2*p**3/7 - 178*p**2/7 - 8*p/7 + 712/7.
2*(p - 89)*(p - 2)*(p + 2)/7
Factor -2*f**2/7 + 2*f/7.
-2*f*(f - 1)/7
Solve 55*t**4/4 - 857*t**3/4 + 121*t**2 - 15*t = 0 for t.
0, 2/11, 2/5, 15
Factor -4*i**2 - 192*i - 704.
-4*(i + 4)*(i + 44)
Factor -2*o**3 + 2390*o**2 - 715206*o + 712818.
-2*(o - 597)**2*(o - 1)
Factor 6*u**2/5 + 231*u/5 + 114/5.
3*(u + 38)*(2*u + 1)/5
Factor y**3 + 2*y**2 - 15*y - 36.
(y - 4)*(y + 3)**2
Let 4*a**4 - 139*a**2 - 363*a - 252 = 0. Calculate a.
-4, -3/2, 7
Let 4*x**2 + 2832*x + 2828 = 0. Calculate x.
-707, -1
Factor 2*g**2 + 84*g - 470.
2*(g - 5)*(g + 47)
What is s in -4*s**3 - 168*s**2 + 2124*s + 2288 = 0?
-52, -1, 11
Factor 2*x**3/7 + 46*x**2/7 - 14*x + 50/7.
2*(x - 1)**2*(x + 25)/7
Factor -4*v**5/5 + 1356*v**4/5 + 272*v**3.
-4*v**3*(v - 340)*(v + 1)/5
Let -12*r**5/7 + 424*r**4/7 - 5108*r**3/7 + 3288*r**2 - 23920*r/7 + 800 = 0. Calculate r.
1/3, 1, 10, 14
Let -27*m**3/2 - 240*m**2 - 351*m/2 + 51 = 0. What is m?
-17, -1, 2/9
Factor 2*g**4/3 + 4*g**3 - 2*g**2/3 - 4*g.
2*g*(g - 1)*(g + 1)*(g + 6)/3
Factor -2*s**2/5 - 66*s/5 + 756/5.
-2*(s - 9)*(s + 42)/5
Factor 2*u**2/9 - 4*u/3 + 16/9.
2*(u - 4)*(u - 2)/9
Solve -4*f**4 - 364*f**3 + 1120*f**2 - 752*f = 0 for f.
-94, 0, 1, 2
Factor j**2/3 - 10*j/3 + 7.
(j - 7)*(j - 3)/3
Factor -p**3/2 + 3*p**2/2.
-p**2*(p - 3)/2
Factor t**3/4 - 9*t**2/4 + 15*t/4 + 25/4.
(t - 5)**2*(t + 1)/4
Factor -2*c**3 + 766*c**2 - 764*c.
-2*c*(c - 382)*(c - 1)
Solve -5*s**3 + 610*s**2 - 23100*s + 279000 = 0.
30, 62
Determine s so that 2*s**4 - 50*s**3 + 92*s**2 = 0.
0, 2, 23
Suppose -q**5/3 - 4*q**4/3 + 46*q**3/3 + 4*q**2/3 - 15*q = 0. Calculate q.
-9, -1, 0, 1, 5
Let k**2/4 - 235*k + 469 = 0. What is k?
2, 938
Find o, given that 5*o**2 - 685*o - 690 = 0.
-1, 138
Factor -3*t**2 - 1575*t - 1572.
-3*(t + 1)*(t + 524)
Find x, given that 5*x**5 + 10*x**4 - 10*x**3 - 40*x**2 - 35*x - 10 = 0.
-1, 2
Suppose -3*c**4/7 + 1644*c**3/7 - 337842*c**2/7 + 30856236*c/7 - 1056826083/7 = 0. What is c?
137
Factor 2*p**2 - 464*p + 462.
2*(p - 231)*(p - 1)
Factor -20*t**3 + 92*t**2 + 160*t + 48.
-4*(t - 6)*(t + 1)*(5*t + 2)
Factor 2*w**4 - 272*w**3 + 8964*w**2 + 19872*w - 28566.
2*(w - 69)**2*(w - 1)*(w + 3)
Suppose g**2/2 - 125*g + 15625/2 = 0. Calculate g.
125
Solve 5*a**3 + 2735*a**2 + 372640*a - 375380 = 0 for a.
-274, 1
Find u such that 15*u**5 + 10*u**4 - 185*u**3 + 120*u**2 + 220*u - 80 = 0.
-4, -1, 1/3, 2
Let 30*q**5 + 747*q**4 + 2004*q**3 + 2019*q**2 + 864*q + 132 = 0. Calculate q.
-22, -1, -1/2, -2/5
Factor -2*t**5 + 76*t**4 - 848*t**3 + 1120*t**2 + 17248*t + 21952.
-2*(t - 14)**3*(t + 2)**2
Factor v**3/10 - 16*v**2/5 + 23*v/2 - 42/5.
(v - 28)*(v - 3)*(v - 1)/10
Let -h**4/5 - 7*h**3/5 + 39*h**2/5 - 53*h/5 + 22/5 = 0. Calculate h.
-11, 1, 2
Solve -g**2/4 - 5839*g/2 - 34093921/4 = 0 for g.
-5839
Factor n**5 + 15*n**4 + 74*n**3 + 110*n**2 - 75*n - 125.
(n - 1)*(n + 1)*(n + 5)**3
Let c**4/3 + 86*c**3/9 + 349*c**2/9 + 