g**2/2 = 0.
-1, 0, 3
Determine z so that 2*z**2 + 58*z - 124 = 0.
-31, 2
Factor -3*l**2/4 - 21*l/4 + 117/2.
-3*(l - 6)*(l + 13)/4
Solve -6*n**3 + 32*n**2 + 120*n + 64 = 0.
-2, -2/3, 8
Factor -3*d**5/7 - 24*d**4/7 - 72*d**3/7 - 96*d**2/7 - 48*d/7.
-3*d*(d + 2)**4/7
Factor 138338*f**5/3 + 2104*f**4 + 24*f**3.
2*f**3*(263*f + 6)**2/3
Find h such that 2*h**3/7 - 40*h**2/7 - 88*h/7 = 0.
-2, 0, 22
Factor 4*y**5/7 + 44*y**4/7 + 144*y**3/7 + 64*y**2/7 - 256*y/7.
4*y*(y - 1)*(y + 4)**3/7
Factor -12*g**4 + 15*g**3 + 21*g**2 - 6*g.
-3*g*(g - 2)*(g + 1)*(4*g - 1)
Factor -16*q**4 + 28*q**3 + 8*q**2.
-4*q**2*(q - 2)*(4*q + 1)
Suppose 2*s**4/3 + 80*s**3/3 + 334*s**2/3 - 584*s/3 - 280 = 0. What is s?
-35, -6, -1, 2
Factor -5*l**3/6 + 29*l**2/2 - 19*l + 16/3.
-(l - 16)*(l - 1)*(5*l - 2)/6
Solve -3*i**2 + 126*i + 129 = 0 for i.
-1, 43
Factor -3*o**2 - 402*o - 13467.
-3*(o + 67)**2
Determine b, given that b**3 + 9*b**2 + 24*b + 16 = 0.
-4, -1
Factor 9*p**4 - 774*p**3 - 1572*p**2 - 3160*p/3 - 704/3.
(p - 88)*(3*p + 2)**3/3
Factor 2*z**3/5 + 4*z**2/5 - 14*z/5 + 8/5.
2*(z - 1)**2*(z + 4)/5
Determine x, given that -4*x**5 + 8*x**4 + 36*x**3 - 8*x**2 - 32*x = 0.
-2, -1, 0, 1, 4
Find z, given that 3*z**5 + 45*z**4 + 144*z**3 - 192*z**2 = 0.
-8, 0, 1
Factor i**3/10 + 96*i**2/5 - 583*i/10 + 39.
(i - 2)*(i - 1)*(i + 195)/10
Suppose -x**2/5 - 426*x/5 - 45369/5 = 0. What is x?
-213
Factor -f**3 - 13*f**2/2 + 4*f + 7/2.
-(f - 1)*(f + 7)*(2*f + 1)/2
Find h such that 2*h**5 + 32*h**4 + 90*h**3 - 108*h**2 - 432*h = 0.
-12, -3, 0, 2
Suppose -2660*n**5 + 8084*n**4 - 6448*n**3 + 1936*n**2 - 192*n = 0. What is n?
0, 4/19, 2/5, 3/7, 2
Suppose 2*q**2/21 - 1772*q/21 + 392498/21 = 0. What is q?
443
Find t, given that 3*t**5 + 126*t**4 - 399*t**3 + 270*t**2 = 0.
-45, 0, 1, 2
Find l, given that l**3 + l**2 - 4*l - 4 = 0.
-2, -1, 2
Factor -4*l**3 - 10*l**2 + 316*l + 160.
-2*(l - 8)*(l + 10)*(2*l + 1)
Factor 4*r**3 + 26796*r**2 + 59835468*r + 44537533348.
4*(r + 2233)**3
Factor -g**4/6 - 7265*g**3/3 - 11729746*g**2 - 56830614527*g/3 - 113590865107/6.
-(g + 1)*(g + 4843)**3/6
Suppose z**2 - 54*z + 368 = 0. What is z?
8, 46
Factor -4*z**2/7 + 3064*z/7.
-4*z*(z - 766)/7
Solve 5*s**4 + 25*s**3/2 - 145*s**2/2 - 200*s - 120 = 0 for s.
-4, -3/2, -1, 4
Solve -2*n**4/7 - 10*n**3/7 + 106*n**2 + 1506*n/7 + 108 = 0 for n.
-21, -1, 18
Factor -2*r**3/3 + 58*r**2 - 1290*r + 3698/3.
-2*(r - 43)**2*(r - 1)/3
Factor -h**2/2 - 32*h - 583/2.
-(h + 11)*(h + 53)/2
What is o in 1058*o**2/5 + 46*o/5 + 1/10 = 0?
-1/46
Suppose l**4 - 420*l**3 + 60750*l**2 - 3280500*l + 36905625 = 0. What is l?
15, 135
Factor 5*z**5/2 - 40*z**4 + 240*z**3 - 640*z**2 + 640*z.
5*z*(z - 4)**4/2
Let 5*p**5 - 295*p**4 - 305*p**3 + 295*p**2 + 300*p = 0. Calculate p.
-1, 0, 1, 60
Factor 2*r**5/7 + 16*r**4/7 - 76*r**3/7 - 144*r**2 - 3078*r/7 - 432.
2*(r - 8)*(r + 3)**3*(r + 7)/7
Factor 3*c**2 - 822*c + 56307.
3*(c - 137)**2
Factor -5*d**2 + 115*d + 250.
-5*(d - 25)*(d + 2)
Factor 2*x**4/5 + 48*x**3/5 - 972*x**2 - 209952*x/5 - 2243862/5.
2*(x - 57)*(x + 27)**3/5
Suppose -11*q**5/4 + 21*q**4/2 - 25*q**3/4 - 25*q**2/2 + 9*q + 2 = 0. What is q?
-1, -2/11, 1, 2
Let -c**4 - 1476*c**3 - 724710*c**2 - 117635716*c + 359469471 = 0. What is c?
-493, 3
Suppose 5*n**5 - 1185*n**4 + 70775*n**3 - 63735*n**2 - 344560*n - 208860 = 0. Calculate n.
-1, 3, 118
Solve j**2 - 43*j - 90 = 0 for j.
-2, 45
Factor -p**2/4 - 3*p/2 + 7/4.
-(p - 1)*(p + 7)/4
Determine u so that -3*u**3 + 27*u**2 + 66*u = 0.
-2, 0, 11
Suppose -x**2 - 24*x - 140 = 0. Calculate x.
-14, -10
Factor 153*t**3 - 3*t**2 - 1377*t + 27.
3*(t - 3)*(t + 3)*(51*t - 1)
Determine n, given that -3*n**4 + 27*n**3 - 21*n**2 - 27*n + 24 = 0.
-1, 1, 8
Factor -j**2/3 + 13*j.
-j*(j - 39)/3
Let c**2/8 - 9*c/4 - 45 = 0. Calculate c.
-12, 30
Let -4*z**5 + 20*z**4 + 112*z**3 - 128*z**2 = 0. What is z?
-4, 0, 1, 8
Suppose -2*z**2/7 + 160*z/7 + 286 = 0. What is z?
-11, 91
Factor -5*h**4 - 40*h**3 - 55*h**2 + 100*h.
-5*h*(h - 1)*(h + 4)*(h + 5)
Factor -2*g**2/17 + 36*g/17 + 2880/17.
-2*(g - 48)*(g + 30)/17
Solve 5*m**3 + 825*m**2 + 45375*m + 831875 = 0 for m.
-55
Factor 4*o**3/5 - 36*o**2/5 + 96*o/5 - 64/5.
4*(o - 4)**2*(o - 1)/5
Factor 2*v**2/15 + 46*v/15 + 8.
2*(v + 3)*(v + 20)/15
Find o such that -2*o**2/5 + 152*o/5 = 0.
0, 76
Determine v, given that -25*v**4/2 + 545*v**3/2 - 212*v**2 + 42*v = 0.
0, 2/5, 21
Factor -2*x**4/11 - 36*x**3/11.
-2*x**3*(x + 18)/11
Factor -3*x**3 + 303*x**2 + 615*x + 309.
-3*(x - 103)*(x + 1)**2
Factor 3*d**4 + 51*d**3 + 135*d**2 + 129*d + 42.
3*(d + 1)**3*(d + 14)
Factor 4*p**3 + 444*p**2 + 16428*p + 202612.
4*(p + 37)**3
Factor 4*h**3/3 - 20*h**2 + 92*h/3 + 52.
4*(h - 13)*(h - 3)*(h + 1)/3
Find q, given that 5*q**5 - 2*q**4/3 - 40*q**3 + 16*q**2/3 + 80*q - 32/3 = 0.
-2, 2/15, 2
Let -20*o**3 - 345*o**2 + 9515*o + 2400 = 0. Calculate o.
-32, -1/4, 15
Factor -5*f**4 + 35*f**3 + 5*f**2 - 35*f.
-5*f*(f - 7)*(f - 1)*(f + 1)
Determine a, given that -2*a**3 + 2*a**2 + 72*a - 72 = 0.
-6, 1, 6
Factor 5*p**2 + 105*p.
5*p*(p + 21)
Factor -3*w**3 + 75*w**2 - 336*w - 1764.
-3*(w - 14)**2*(w + 3)
What is d in -20*d**3 - 75*d**2 - 40*d + 15 = 0?
-3, -1, 1/4
Find y, given that -3*y**3/5 + 24*y**2/5 + 45*y + 378/5 = 0.
-3, 14
Factor 3*f**3 - 15*f**2 - 66*f - 48.
3*(f - 8)*(f + 1)*(f + 2)
Factor n**2 + 11732*n + 34409956.
(n + 5866)**2
Solve -3*m**4 + 21*m**3 - 18*m**2 = 0.
0, 1, 6
Factor -4*n**3 + 8*n**2 + 28*n + 16.
-4*(n - 4)*(n + 1)**2
Solve -2*d**4 + 110*d**3 - 104*d**2 - 216*d = 0.
-1, 0, 2, 54
Find t, given that 3*t**4/2 + 339*t**3/2 + 9399*t**2/2 - 10431*t/2 - 9747 = 0.
-57, -1, 2
Factor -14*u**3/23 - 384*u**2/23 - 2520*u/23 + 1568/23.
-2*(u + 14)**2*(7*u - 4)/23
Determine f so that 250*f**5/13 + 17600*f**4/13 + 136080*f**3/13 + 370048*f**2/13 + 340256*f/13 = 0.
-62, -14/5, 0
Find q such that -q**5/2 + 17*q**4 - 209*q**3/2 - 722*q**2 = 0.
-4, 0, 19
Factor -2*p**2/5 + 8*p/5.
-2*p*(p - 4)/5
Let f**4/7 - 4*f**3/7 - 9*f**2/7 + 16*f/7 + 20/7 = 0. Calculate f.
-2, -1, 2, 5
Factor 2*q**2/9 - 1192*q/9 + 177608/9.
2*(q - 298)**2/9
Find w, given that 3*w**5/5 - 84*w**4 + 2049*w**3/5 - 3252*w**2/5 + 324*w = 0.
0, 1, 2, 135
Factor -2*q**2 + 14*q - 12.
-2*(q - 6)*(q - 1)
Determine v, given that 3*v**2 + 57*v = 0.
-19, 0
Factor -4*j**4/3 - 20*j**3/3 + 8*j**2.
-4*j**2*(j - 1)*(j + 6)/3
Determine r so that 23*r**3/7 - 458*r**2/7 - 523*r/7 - 6 = 0.
-1, -2/23, 21
Solve 2*j**3/5 + 58*j**2/5 + 528*j/5 + 288 = 0 for j.
-12, -5
Factor -y**4/2 + 35*y**3 + 367*y**2/2 + 298*y + 150.
-(y - 75)*(y + 1)*(y + 2)**2/2
Factor 6*t**2/5 + 222*t/5 - 468/5.
6*(t - 2)*(t + 39)/5
Factor 5*r**5/6 + 5*r**4/2 - 5*r**3/6 - 55*r**2/6 - 10*r - 10/3.
5*(r - 2)*(r + 1)**3*(r + 2)/6
Determine x, given that 29*x**2/4 + 147*x/4 + 5/2 = 0.
-5, -2/29
Suppose m**3 + 128*m**2 - 260*m = 0. What is m?
-130, 0, 2
What is t in -4*t**2/3 - 9*t + 7/3 = 0?
-7, 1/4
Solve -8*t**5 + 1348*t**4 - 13512*t**3 + 38020*t**2 - 15800*t = 0.
0, 1/2, 5, 158
Find k, given that -k**5 - 270*k**4 - 19273*k**3 - 141480*k**2 - 274576*k = 0.
-131, -4, 0
Determine o, given that -5*o**4 + 125*o**3 - 830*o**2 + 480*o + 1440 = 0.
-1, 2, 12
Factor -4*t**5 + 15*t**4/7 - 2*t**3/7.
-t**3*(4*t - 1)*(7*t - 2)/7
Determine f, given that -5*f**2 - 750*f = 0.
-150, 0
Factor -169*o**3/4 - 1495*o**2/4 - 3927*o/4 - 2601/4.
-(o + 1)*(13*o + 51)**2/4
Factor 3*x**4 + 414*x**3 + 14691*x**2 + 28152*x + 13872.
3*(x + 1)**2*(x + 68)**2
Find h, given that -h**2 + 15*h - 50 = 0.
5, 10
Factor 2*v**4/5 - 8*v**3/5 + 2*v**2 - 4*v/5.
2*v*(v - 2)*(v - 1)**2/5
Suppose 28*w**3 + 160*w**2 + 92*w - 40 = 0. What is w?
-5, -1, 2/7
Factor 3*y**3 - 33*y**2 - 126*y.
3*y*(y - 14)*(y + 3)
Factor -12*n**2 + 141*n + 195.
-3*(n - 13)*(4*n + 5)
Factor 4*m**2 + 728*m + 16740.
4*(m + 27)*(m + 155)
Determine b so that 3*b**2/2 - 93*b/2 + 126 = 0.
3, 28
Factor 5*m**4 - 140*m**3 + 1220*m**2 - 3360*m + 2880.
5*(m - 12)**2*(m - 2)**2
Factor -3*w**3/7 - 5*w**2/7 + 11*w/7 - 3/7.
-(w - 1)*(w + 3)*(3*w - 1)/7
Solve 45*x**5/2 + 1245*x**4/2 + 4795*x**3 + 6795*x**2 + 6045*x/2 + 845/2 = 0.
-13, -1, -1/3
Factor 18*b**5/7 - 132*b**4/7 + 194*b**3/7 + 176*b**2/7 + 32*b/7.
2*b*(b - 4)**2*(3*b + 1)**2/7
Find l, given that 6*l**4 - 32*l**3 + 58*l**2 - 40*l + 8 = 0.
1/3, 1, 2
Find p, given that -3*p**4 - 135*p**3 + 1044*p**2 - 2460*p +