Factor q**3/2 + 43*q**2 - 265*q/2 + 89.
(q - 2)*(q - 1)*(q + 89)/2
Factor -2*b**2 + 16*b - 14.
-2*(b - 7)*(b - 1)
Determine u so that 3*u**4 - 54*u**3 + 219*u**2 - 324*u + 156 = 0.
1, 2, 13
Find t such that 2*t**5/9 + 2*t**4/9 - 14*t**3/9 - 26*t**2/9 - 4*t/3 = 0.
-2, -1, 0, 3
Solve -4*u**4/7 - 80*u**3/7 - 556*u**2/7 - 1488*u/7 - 144 = 0.
-7, -6, -1
Solve -66*b**5/7 - 222*b**4 - 3534*b**3/7 + 6*b**2 + 3600*b/7 + 216 = 0 for b.
-21, -2, -1, -6/11, 1
Factor -2*a**3 + 142*a**2 + 1424*a + 1280.
-2*(a - 80)*(a + 1)*(a + 8)
Find k, given that -5*k**4 + 255*k**3 - 3375*k**2 + 3125*k = 0.
0, 1, 25
Solve l**2 + 1778*l + 790321 = 0.
-889
Determine y, given that -y**5/2 + y**4/2 + 4*y**3 - 6*y**2 = 0.
-3, 0, 2
Factor -2*a**3/5 - 2*a**2/5 + 42*a/5 + 18.
-2*(a - 5)*(a + 3)**2/5
Factor 5*w**5 - 15*w**4 - 20*w**3 + 80*w**2 - 80.
5*(w - 2)**3*(w + 1)*(w + 2)
Find l such that -2*l**4 + 12*l**3 + 16*l**2 - 12*l - 14 = 0.
-1, 1, 7
Factor -2*z**3 + 466*z**2 - 26910*z - 27378.
-2*(z - 117)**2*(z + 1)
Factor 2*h**5/17 + 148*h**4/17 + 152*h**3 - 5776*h**2/17.
2*h**2*(h - 2)*(h + 38)**2/17
Factor -3*w**2 - 750*w - 2223.
-3*(w + 3)*(w + 247)
Solve -2*h**3/3 - 8*h**2/3 - 10*h/3 - 4/3 = 0 for h.
-2, -1
Find c such that 18*c**4 - 294*c**3 + 1160*c**2 - 1176*c + 352 = 0.
2/3, 4, 11
Factor -4*c**4 - 11416*c**3 - 10864224*c**2 - 3451194216*c - 3440341404.
-4*(c + 1)*(c + 951)**3
What is m in -5*m**3 + 65*m**2 - 200*m + 180 = 0?
2, 9
Factor 11*t**2/9 - 232*t/9 + 140/3.
(t - 2)*(11*t - 210)/9
Solve -255*o**4/4 + 891*o**3/2 - 2019*o**2/4 - 1026*o - 12 = 0.
-1, -1/85, 4
Find h such that 3*h**3 - 276*h**2 + 543*h - 270 = 0.
1, 90
Factor 3*y**2/5 + 48*y/5 - 51/5.
3*(y - 1)*(y + 17)/5
Find z such that 14*z**2/9 + 208*z/9 + 40 = 0.
-90/7, -2
What is m in 92*m**3 + 374*m**2 + 24*m = 0?
-4, -3/46, 0
Solve u**5 + 19*u**4/4 - 57*u**3/4 + 41*u**2/4 - 7*u/4 = 0 for u.
-7, 0, 1/4, 1
Solve 14*v**5/9 + 136*v**4/9 - 586*v**3/9 + 212*v**2/9 + 712*v/9 - 208/9 = 0 for v.
-13, -1, 2/7, 2
Determine d, given that 2*d**5/3 - 86*d**4/15 - 282*d**3/5 - 558*d**2/5 - 36*d = 0.
-3, -2/5, 0, 15
Suppose 15*l**2 + 51*l - 36 = 0. What is l?
-4, 3/5
Suppose -8*t**5/7 + 348*t**4/7 + 3776*t**3/7 + 13032*t**2/7 + 17064*t/7 + 5724/7 = 0. Calculate t.
-3, -1/2, 53
Factor -2*o**5 - 24*o**4 - 18*o**3 + 540*o**2 + 648*o - 3888.
-2*(o - 3)**2*(o + 6)**3
Factor u**2/2 + 90*u.
u*(u + 180)/2
Factor -3*s**3 + 72*s**2 - 267*s - 342.
-3*(s - 19)*(s - 6)*(s + 1)
Factor -2*n**3/7 + 32*n**2/7 + 814*n/7 - 1740/7.
-2*(n - 29)*(n - 2)*(n + 15)/7
Factor n**2/5 + 808*n/5.
n*(n + 808)/5
Suppose -4*a**4 - 256*a**3/5 - 648*a**2/5 + 224*a - 196/5 = 0. Calculate a.
-7, 1/5, 1
Factor 6*w**4/11 + 48*w**3/11 - 24*w**2 + 288*w/11.
6*w*(w - 2)**2*(w + 12)/11
Factor -5*c**4 + 235*c**3 - 885*c**2 + 1085*c - 430.
-5*(c - 43)*(c - 2)*(c - 1)**2
Factor 2*y**4/9 - 6*y**2 - 100*y/9 - 16/3.
2*(y - 6)*(y + 1)**2*(y + 4)/9
Solve -a**4/7 + 81*a**3/7 - 66*a**2 + 908*a/7 - 600/7 = 0 for a.
2, 75
Suppose -4*d**2 - 32*d - 60 = 0. Calculate d.
-5, -3
Determine s, given that -3*s**3 + 60*s**2 - 99*s - 162 = 0.
-1, 3, 18
Solve -5*p**3/2 + 2145*p**2/2 - 306735*p/2 + 14621035/2 = 0 for p.
143
Factor 2*q**4 + 18*q**3 + 48*q**2 + 40*q.
2*q*(q + 2)**2*(q + 5)
Suppose 3*q**4/7 - 24*q**3/7 + 33*q**2/7 + 24*q/7 - 36/7 = 0. Calculate q.
-1, 1, 2, 6
Find y such that -2*y**2 - 1912*y = 0.
-956, 0
Factor 3*a**3 - 933*a**2 + 69165*a + 530901.
3*(a - 159)**2*(a + 7)
Determine f, given that f**3 + 225*f**2 - 453*f + 227 = 0.
-227, 1
Factor -12*r**4 + 1227*r**3 - 31518*r**2 + 7803*r.
-3*r*(r - 51)**2*(4*r - 1)
Solve 4*b**4/7 + 3920*b**3 + 10084200*b**2 + 11529602000*b + 4943316857500 = 0.
-1715
Let 4*m**2 - 18560*m + 21529600 = 0. Calculate m.
2320
Solve -y**4 - 9*y**3 - 20*y**2 - 12*y = 0.
-6, -2, -1, 0
Factor v**4/3 - 16*v**3 + 14*v**2 + 232*v/3 + 47.
(v - 47)*(v - 3)*(v + 1)**2/3
Factor 6*o**4 + 44*o**3 - 32*o**2.
2*o**2*(o + 8)*(3*o - 2)
Factor -5*r**4 + 4*r**3 + 20*r**2 - 16*r.
-r*(r - 2)*(r + 2)*(5*r - 4)
Solve 69*d**4/4 + 51*d**3 - 9*d**2/4 = 0.
-3, 0, 1/23
Solve -58*y**2/5 - 62*y/5 - 4/5 = 0.
-1, -2/29
Factor 95*l**3 + 400*l**2 + 365*l + 60.
5*(l + 1)*(l + 3)*(19*l + 4)
Suppose 6*c**3 - 813*c**2 + 402*c + 405 = 0. Calculate c.
-1/2, 1, 135
Find d, given that 5*d**2 - 5930*d + 1758245 = 0.
593
What is n in 5*n**2 - 3900*n + 760500 = 0?
390
Solve -r**3/5 - 4*r**2 - 93*r/5 - 126/5 = 0.
-14, -3
Solve -j**2/2 + 1285*j + 2571/2 = 0 for j.
-1, 2571
Factor 25*y**3/7 - 815*y**2/7 - 47*y - 33/7.
(y - 33)*(5*y + 1)**2/7
Let -72*r**5 - 180*r**4 + 140*r**3 + 100*r**2 + 12*r = 0. Calculate r.
-3, -1/3, -1/6, 0, 1
Determine r so that -20*r**4 + 28*r**3 + 4*r**2 - 12*r = 0.
-3/5, 0, 1
Factor -w**4 - 7*w**3 - w**2 + 27*w - 18.
-(w - 1)**2*(w + 3)*(w + 6)
Suppose 4*f**3 + 1084*f**2 - 4400*f = 0. What is f?
-275, 0, 4
Find x such that -x**5/3 - 2*x**4 - 4*x**3 - 10*x**2/3 - x = 0.
-3, -1, 0
Solve g**2/4 - 242*g + 58564 = 0 for g.
484
Factor -5*o**3 + 30*o**2 - 60*o + 40.
-5*(o - 2)**3
Determine y so that -3*y**4/7 - 6*y**3/7 = 0.
-2, 0
Find u, given that 5*u**3 + 45*u**2 - 105*u + 55 = 0.
-11, 1
Factor 3*m**4 + 6*m**3 + 3*m**2.
3*m**2*(m + 1)**2
Find d, given that -64*d**5/9 + 176*d**4/9 + 151*d**3/9 - 686*d**2/9 + 140*d/3 - 8 = 0.
-2, 3/8, 2
What is r in -98*r**4 + 308*r**3 - 354*r**2 + 176*r - 32 = 0?
4/7, 1
Factor 2*s**2/3 - 1592*s/3 + 316808/3.
2*(s - 398)**2/3
Find n, given that -2*n**5 - 2*n**4 + 12*n**3 = 0.
-3, 0, 2
Factor 2*s**2 - 478*s + 2340.
2*(s - 234)*(s - 5)
Determine x, given that -5*x**4 - 1955*x**3 - 7760*x**2 - 7740*x = 0.
-387, -2, 0
Find n such that 2*n**3/9 - 236*n**2/9 + 464*n/9 = 0.
0, 2, 116
Factor -3*d**3 + 33*d**2 + 282*d + 408.
-3*(d - 17)*(d + 2)*(d + 4)
Factor -5*h**3 + 40*h**2 - 25*h - 250.
-5*(h - 5)**2*(h + 2)
Factor 5*o**3 - 410*o**2 + 1195*o - 790.
5*(o - 79)*(o - 2)*(o - 1)
Find m such that m**3/4 - 265*m**2/4 + 17947*m/4 - 51483/4 = 0.
3, 131
Solve 5*m**4 + 110*m**3 + 485*m**2 - 1320*m + 720 = 0.
-12, 1
Let -r**3/2 + 2125*r**2/2 = 0. What is r?
0, 2125
Find d, given that 5*d**2 + 5*d = 0.
-1, 0
Find r, given that 5*r**2 - 6410*r + 2054405 = 0.
641
Let n**3/8 + n**2/8 - 25*n/8 - 25/8 = 0. Calculate n.
-5, -1, 5
Factor 2*x**4/7 - 4*x**3/7 - 16*x**2/7.
2*x**2*(x - 4)*(x + 2)/7
Find u such that -2*u**2/13 - 88*u - 12584 = 0.
-286
Determine q, given that 9*q**4 - 528*q**3 + 7917*q**2 - 5046*q = 0.
0, 2/3, 29
Determine h, given that -7*h**2/3 + 59*h/3 - 8 = 0.
3/7, 8
Factor 4*h**5/3 - 8*h**3/3 + 4*h/3.
4*h*(h - 1)**2*(h + 1)**2/3
Solve -92*f**4 + 636*f**3 + 424*f**2 - 2544*f - 224 = 0.
-2, -2/23, 2, 7
Let 2*q**2/5 + 148*q/5 = 0. Calculate q.
-74, 0
Factor -3*g**2 + 9*g + 84.
-3*(g - 7)*(g + 4)
Factor -8*r**3 + 732*r**2 + 3024*r + 3056.
-4*(r + 2)**2*(2*r - 191)
Factor 2*j**2/9 - 110*j/9.
2*j*(j - 55)/9
Factor -2*r**4/11 - 196*r**3/11 - 7154*r**2/11 - 115248*r/11 - 691488/11.
-2*(r + 21)**2*(r + 28)**2/11
What is i in 2*i**4/11 - 12*i**3/11 - 8*i**2/11 + 48*i/11 = 0?
-2, 0, 2, 6
Solve -5*p**2 + 55*p - 90 = 0.
2, 9
Find k such that -2*k**4/9 - 148*k**3/9 - 1006*k**2/3 - 10360*k/9 - 9800/9 = 0.
-35, -2
Suppose -n**2/8 - 89*n/8 - 477/2 = 0. Calculate n.
-53, -36
Determine r so that -2*r**2 + 30*r + 152 = 0.
-4, 19
Find n, given that -2*n**3 + 182*n**2 + 372*n = 0.
-2, 0, 93
Suppose -4*z**2 - 144*z + 148 = 0. Calculate z.
-37, 1
Factor 20*d**3 + 326*d**2 + 1376*d + 384.
2*(d + 8)**2*(10*d + 3)
Find a, given that 11*a**5/2 + 119*a**4/2 + 121*a**3 - 222*a**2 + 36*a = 0.
-6, 0, 2/11, 1
Factor 4*x**2 - 172*x.
4*x*(x - 43)
Find w such that -w**4/7 + 18*w**3/7 - 4*w**2 - 72*w/7 + 128/7 = 0.
-2, 2, 16
Factor 9*q**4 - 51*q**3 - 24*q**2 + 36*q.
3*q*(q - 6)*(q + 1)*(3*q - 2)
Let 9*f**4/5 + 339*f**3/5 + 3462*f**2/5 + 5076*f/5 + 1944/5 = 0. Calculate f.
-18, -1, -2/3
Suppose 108*o**2/7 - 36*o + 21 = 0. What is o?
7/6
Factor -a**2 + 18*a.
-a*(a - 18)
Factor -n**4/8 - 17*n**3/8 - 10*n**2 - 8*n.
-n*(n + 1)*(n + 8)**2/8
Suppose 73728*l**2 - 768*l + 2 = 0. Calculate l.
1/192
What is c in 9*c**3/5 - 4*c**2/5 - 9*c/5 + 4/5 = 0?
-1, 4/9, 1
Solve -h**4/7 - 12*h**3/7 - 13*h**2/7 + 30*h + 56 = 0 for h.
-7, -2, 4
Factor -u**2/2 + 31*u - 116.
-(u - 58)*(u - 4)/2
Determine t, given that -16*t**4/3 - 184*t**3/3 - 769*t**2/3 - 460*t - 300 = 0.
-15/4, -2
Suppose -3*u**3/5 - 66*u**2/5