g**2/3 - 10*g.
-g*(g - 15)*(g - 2)*(g + 1)/3
Factor -j**5/4 + 2507*j**4/4 - 783749*j**3/2 - 2358773*j**2/2 - 4722565*j/4 - 1575025/4.
-(j - 1255)**2*(j + 1)**3/4
Factor 24649*u**4 - 25591*u**3 - 48347*u**2 + 1875*u - 18.
(u - 2)*(u + 1)*(157*u - 3)**2
Determine v so that -v**3/2 - 61*v**2 - 3465*v/2 + 7938 = 0.
-63, 4
Factor 44*n**3 + 1544*n**2 - 3220*n + 1632.
4*(n - 1)**2*(11*n + 408)
Find j such that 2*j**2/9 - 2/9 = 0.
-1, 1
Determine t so that 2*t**2/15 + 4*t - 128/15 = 0.
-32, 2
Factor -4*t**3/7 + 124*t**2/7 + 64*t - 1360/7.
-4*(t - 34)*(t - 2)*(t + 5)/7
Solve -2*k**5/13 + 4*k**4/13 + 8*k**3/13 - 16*k**2/13 = 0 for k.
-2, 0, 2
Let -3*f**5 + 2745*f**4 - 1004670*f**3 + 183854610*f**2 - 16822696815*f + 615710703429 = 0. Calculate f.
183
Determine h so that -8*h**3/7 - 118*h**2/7 - 188*h/7 - 78/7 = 0.
-13, -1, -3/4
Solve 9*y**5/2 + 33*y**4 - 777*y**3/2 + 477*y**2 + 474*y - 420 = 0 for y.
-14, -1, 2/3, 2, 5
Factor 2*o**4/3 - 2*o**3/3 - 4*o**2.
2*o**2*(o - 3)*(o + 2)/3
Factor 3*q**4 + 48*q**3 - 198*q**2 - 528*q - 285.
3*(q - 5)*(q + 1)**2*(q + 19)
Solve 20*q**5 - 356*q**4 + 1548*q**3 - 1916*q**2 + 512*q + 192 = 0 for q.
-1/5, 1, 4, 12
Factor -4*b**2 + 44*b + 48.
-4*(b - 12)*(b + 1)
Solve -2*s**4/17 + 24*s**3/17 - 38*s**2/17 - 24*s/17 + 40/17 = 0 for s.
-1, 1, 2, 10
Factor -l**3/3 + 164*l**2/3 - 2149*l/3 + 2450.
-(l - 150)*(l - 7)**2/3
Factor -y**3/4 - 10*y**2.
-y**2*(y + 40)/4
Factor 3*f**5 - 168*f**4 + 2664*f**3 - 8736*f**2 + 8112*f.
3*f*(f - 26)**2*(f - 2)**2
Factor 14*k**2 - 4000*k - 1144.
2*(k - 286)*(7*k + 2)
Factor -5*y**3 + 422*y**2 - 583*y + 166.
-(y - 83)*(y - 1)*(5*y - 2)
Solve -n**2/3 - 32*n - 95/3 = 0 for n.
-95, -1
Solve -4*n**3 + 268*n**2 - 1720*n + 2400 = 0.
2, 5, 60
Solve 5*s**5 + 35*s**4 + 90*s**3 + 100*s**2 + 40*s = 0.
-2, -1, 0
Factor -3*z**3 - 15*z**2 + 39*z - 21.
-3*(z - 1)**2*(z + 7)
Factor -3*u**4 - 1179*u**3 + 2367*u**2 - 1185*u.
-3*u*(u - 1)**2*(u + 395)
Find o, given that -o**5 + o**4 + 6*o**3 - 4*o**2 - 8*o = 0.
-2, -1, 0, 2
Find a, given that 10*a**5 - 84*a**4 + 202*a**3 - 168*a**2 + 40*a = 0.
0, 2/5, 1, 2, 5
Factor -4*r**5 + 24*r**4 - 8*r**3 - 80*r**2 + 108*r - 40.
-4*(r - 5)*(r - 1)**3*(r + 2)
Factor 5*v**4 - 615*v**3 + 18590*v**2 + 20460*v - 38440.
5*(v - 62)**2*(v - 1)*(v + 2)
Factor -f**3 + f**2.
-f**2*(f - 1)
Determine i, given that i**3/3 - 62*i**2/3 + 31*i/3 + 610 = 0.
-5, 6, 61
Factor 2*v**3/3 + 299*v**2/3 - 452*v/3 + 151/3.
(v - 1)*(v + 151)*(2*v - 1)/3
Factor -2*d**2/9 - 32*d/3 - 94/9.
-2*(d + 1)*(d + 47)/9
Find n, given that 4*n**2 + 96*n - 100 = 0.
-25, 1
What is p in p**5/2 + 10*p**4 + 19*p**3/2 = 0?
-19, -1, 0
Factor 2*u**2/9 + 14*u - 44.
2*(u - 3)*(u + 66)/9
Let 2*l**2/9 + 2*l/3 = 0. What is l?
-3, 0
Let 2*o**5/13 + 10*o**4/13 - 6*o**3/13 - 34*o**2/13 - 20*o/13 = 0. Calculate o.
-5, -1, 0, 2
Find s, given that -2*s**4/5 + 28*s**3/5 - 66*s**2/5 = 0.
0, 3, 11
Let 2*b**5 + 14*b**4 - 92*b**3 - 20*b**2 + 282*b + 198 = 0. What is b?
-11, -1, 3
Factor 78*w**3 - 82*w**2 + 4*w.
2*w*(w - 1)*(39*w - 2)
Factor 2*r**2 + 68*r + 66.
2*(r + 1)*(r + 33)
What is h in 5*h**3 - 85*h**2 - 445*h + 525 = 0?
-5, 1, 21
Let -4*j**3 + 56*j**2 - 220*j + 168 = 0. Calculate j.
1, 6, 7
Factor 3*u**3 + 399*u**2 + 1170*u.
3*u*(u + 3)*(u + 130)
Solve l**2/8 + 7*l/4 - 4 = 0 for l.
-16, 2
Suppose -308*d**4/9 - 332*d**3/9 + 8*d**2/9 + 32*d/9 = 0. Calculate d.
-1, -4/11, 0, 2/7
Let 3*x**5 - 120*x**4 - 12*x**3 + 480*x**2 = 0. Calculate x.
-2, 0, 2, 40
Factor -5*g**2 - 180*g + 2025.
-5*(g - 9)*(g + 45)
Factor -2*b**2/11 - 42*b/11 - 40/11.
-2*(b + 1)*(b + 20)/11
Suppose 5*d**2 + 3920*d - 3925 = 0. What is d?
-785, 1
Suppose 3*y**4/5 - 72*y**3 - 1098*y**2/5 - 1104*y/5 - 369/5 = 0. Calculate y.
-1, 123
Determine p, given that -4*p**3/3 + 44*p**2/3 - 140*p/3 + 100/3 = 0.
1, 5
Solve 4*n**3 + 68*n**2 - 72*n = 0.
-18, 0, 1
Solve -251*q**2/3 + 167*q/2 + 1/6 = 0 for q.
-1/502, 1
Factor o**4 - 4*o**3 - o**2 + 4*o.
o*(o - 4)*(o - 1)*(o + 1)
What is o in -12*o**4 + 416*o**3 + 148*o**2 - 280*o = 0?
-1, 0, 2/3, 35
Factor -2*a**5 - 76*a**4 - 1026*a**3 - 5680*a**2 - 8576*a + 15360.
-2*(a - 1)*(a + 8)**3*(a + 15)
Solve 2*m**4/17 - 120*m**3/17 + 348*m**2/17 - 344*m/17 + 114/17 = 0 for m.
1, 57
Determine l so that -l**3 + 16*l**2 - 48*l = 0.
0, 4, 12
Find u such that -6*u**2/7 - 62*u - 144/7 = 0.
-72, -1/3
Solve -6*y**2/7 + 8*y/7 - 2/7 = 0.
1/3, 1
Let 2*x**2/15 - 22*x/15 = 0. Calculate x.
0, 11
Suppose 4*o**2/3 - 452*o + 38307 = 0. Calculate o.
339/2
Factor p**2/7 - 25*p - 176/7.
(p - 176)*(p + 1)/7
Factor -4*u**3/9 + 172*u**2/9 + 181*u/3 + 46.
-(u - 46)*(2*u + 3)**2/9
Factor 3*c**4 + 282*c**3 + 7995*c**2 + 60516*c.
3*c*(c + 12)*(c + 41)**2
Determine x, given that 54*x**4/5 + 66*x**3/5 - 26*x**2/5 - 34*x/5 + 4/5 = 0.
-1, 1/9, 2/3
Solve 5*j**5 + 40*j**4 + 80*j**3 - 80*j**2 - 400*j - 320 = 0 for j.
-4, -2, 2
What is s in -16*s**5 + 152*s**4 + 279*s**3 - 167*s**2 + 22*s = 0?
-2, 0, 1/4, 11
Find b such that -5*b**2 - 1545*b + 4680 = 0.
-312, 3
Solve 8*r**5 + 158*r**4/5 + 232*r**3/5 + 148*r**2/5 + 32*r/5 - 2/5 = 0.
-1, 1/20
Solve -5*h**2 + 1150*h = 0.
0, 230
Let 2*n**2/7 + 30*n + 208/7 = 0. What is n?
-104, -1
Factor 2*x**5 - 350*x**4 + 24500*x**3 - 857500*x**2 + 15006250*x - 105043750.
2*(x - 35)**5
Factor -27*z**5 - 120*z**4 - 210*z**3 - 180*z**2 - 75*z - 12.
-3*(z + 1)**4*(9*z + 4)
Determine b, given that -4*b**5/9 + 28*b**4/9 + 400*b**3/9 + 1136*b**2/9 + 320*b/3 = 0.
-4, -2, 0, 15
What is o in -34*o**2/9 - 3872*o/9 + 152/3 = 0?
-114, 2/17
Factor l**2/3 + 70*l/3 - 71/3.
(l - 1)*(l + 71)/3
Suppose 2*g**5 + 14*g**4 - 62*g**3 - 254*g**2 - 180*g = 0. What is g?
-9, -2, -1, 0, 5
Determine l, given that -2*l**5/17 + 28*l**4/17 + 168*l**3/17 - 2160*l**2/17 - 6912*l/17 + 20736/17 = 0.
-6, 2, 12
Suppose 4*q**3/3 - 16*q**2/3 - 4*q/3 + 16/3 = 0. What is q?
-1, 1, 4
Suppose 2*j**4/3 - 124*j**3/3 + 552*j**2 - 1836*j - 2430 = 0. Calculate j.
-1, 9, 45
Factor -4*c**2 - 32544*c - 66194496.
-4*(c + 4068)**2
Find l such that -l**5 - 24*l**4 - 84*l**3 - 80*l**2 = 0.
-20, -2, 0
Factor 2*h**2/9 + 34*h - 308/9.
2*(h - 1)*(h + 154)/9
Factor 2*w**2/17 - 212*w/17 + 5618/17.
2*(w - 53)**2/17
Factor 2*n**2 + 4*n.
2*n*(n + 2)
What is m in 2*m**5/7 - 10*m**4/7 + 2*m**3/7 + 26*m**2/7 - 4*m/7 - 16/7 = 0?
-1, 1, 2, 4
Solve f**5 - 8*f**4 - f**3 + 8*f**2 = 0.
-1, 0, 1, 8
Let 2*o**3/7 + 2*o**2 - 80*o/7 + 88/7 = 0. What is o?
-11, 2
Let 20*g**5/3 - 388*g**4/3 + 92*g**3/3 + 1124*g**2/3 + 320*g/3 - 304/3 = 0. What is g?
-1, 2/5, 2, 19
Solve 8*t**5 + 26*t**4 + 16*t**3 - 14*t**2 - 12*t = 0.
-2, -1, 0, 3/4
Determine m, given that -4*m**4 - 280*m**3 - 3876*m**2 - 6928*m - 3328 = 0.
-52, -16, -1
Let 488*l**3 - 228*l**2 - 8*l = 0. Calculate l.
-2/61, 0, 1/2
Solve 4*d**3 - 92*d**2 - 1320*d = 0.
-10, 0, 33
Determine x so that -3*x**5 + 63*x**4 + 228*x**3 - 288*x**2 = 0.
-4, 0, 1, 24
Factor 2*y**3/19 - 20*y**2/19 + 54*y/19 - 36/19.
2*(y - 6)*(y - 3)*(y - 1)/19
Factor 4*i**3 - 196*i**2 + 192*i.
4*i*(i - 48)*(i - 1)
Factor -5*c**3 + 45*c**2 - 75*c + 35.
-5*(c - 7)*(c - 1)**2
Factor z**4/3 + 13*z**3/3 - 16*z**2/3 - 28*z/3.
z*(z - 2)*(z + 1)*(z + 14)/3
Find r such that -2*r**2/7 + 754*r/7 - 752/7 = 0.
1, 376
Factor 2*l**5 + 10*l**4/3 + 2*l**3/3 - 2*l**2/3.
2*l**2*(l + 1)**2*(3*l - 1)/3
Factor 2*q**3/5 + 2*q**2 - 24*q/5 - 72/5.
2*(q - 3)*(q + 2)*(q + 6)/5
Factor 6*u**3 + 69*u**2 - 39*u - 36.
3*(u - 1)*(u + 12)*(2*u + 1)
Suppose -3*r**4/4 + 225*r**3/2 + 342*r**2 + 687*r/2 + 459/4 = 0. What is r?
-1, 153
Factor 5*q**2/2 - 5875*q/2.
5*q*(q - 1175)/2
Suppose 4*v**5 + 136*v**4 + 1828*v**3 + 12128*v**2 + 39680*v + 51200 = 0. Calculate v.
-8, -5
Determine a, given that 5*a**4 + 245*a**3 + 3345*a**2 + 8395*a + 5290 = 0.
-23, -2, -1
Let -4*g**4 + 64*g**3 + 144*g**2 = 0. Calculate g.
-2, 0, 18
Find v, given that -v**2/4 + 49*v/4 + 25/2 = 0.
-1, 50
Factor -a**2/2 + 316*a - 49928.
-(a - 316)**2/2
Factor 27*i**4 + 144*i**3 + 30*i**2 - 72*i + 15.
3*(i + 1)*(i + 5)*(3*i - 1)**2
Solve -p**2/4 + 33*p/4 - 45/2 = 0.
3, 30
What is j in -3*j**3/2 + 57*j**2 + 237*j/2 + 60 = 0?
-1, 40
Factor -95*s**2/2 - 75*s/4 + 5/2.
-5*(2*s + 1)*(19*s - 2)/4
Factor 201243*i**3/5 + 4430454*i**2/5 + 68388*i/5 + 264/5.
3*(i + 22)*(259*i + 2)**2/5
Let -3*v**5 - 108*v**4 - 195*v**3 + 306*v**2 = 0. Calculate v.
-34, -3, 0, 1
Factor 4*c**3 - 8*c**2 -