+ 4)/9
Let -2*y**5/15 - 32*y**4/15 + 2*y**3/15 + 32*y**2/15 = 0. Calculate y.
-16, -1, 0, 1
Factor g**2 - 20*g.
g*(g - 20)
Factor 58*j**2/5 - 4*j/5.
2*j*(29*j - 2)/5
What is i in 2*i**4/9 - 16*i**3/9 - 2*i**2/9 + 136*i/9 - 56/3 = 0?
-3, 2, 7
Factor 2*f**3/7 + 1336*f**2/7.
2*f**2*(f + 668)/7
Factor 16*f**2 + 796*f - 200.
4*(f + 50)*(4*f - 1)
Solve -4*m**4 + 160*m**3 - 132*m**2 - 936*m = 0.
-2, 0, 3, 39
Factor 9*x**3/4 - 15*x**2/2 + 3*x/4 + 9/2.
3*(x - 3)*(x - 1)*(3*x + 2)/4
Find b, given that -b**4/3 - 112*b**3/3 - 3136*b**2/3 = 0.
-56, 0
Factor 3*f**2 - 39*f + 36.
3*(f - 12)*(f - 1)
Factor -2*k**3 - 40*k**2 - 38*k.
-2*k*(k + 1)*(k + 19)
Suppose -d**3 - 1188*d**2/5 - 6484*d/5 + 2784/5 = 0. Calculate d.
-232, -6, 2/5
Solve 2*o**2 - 3088*o + 1191968 = 0.
772
Factor 3*m**5 + 9*m**4 + 6*m**3.
3*m**3*(m + 1)*(m + 2)
Find d such that 12*d**3 - 38*d**2/3 + 2*d/3 = 0.
0, 1/18, 1
Factor 6*k**3 + 14*k**2 - 8.
2*(k + 1)*(k + 2)*(3*k - 2)
Factor -2*q**3 + 4*q**2.
-2*q**2*(q - 2)
Factor 4*j**3 + 100*j**2 + 300*j - 4500.
4*(j - 5)*(j + 15)**2
Factor -4*m**4 + 4*m**3 + 16*m**2 - 16*m.
-4*m*(m - 2)*(m - 1)*(m + 2)
Factor 4*z**3/7 - 264*z**2/7 + 764*z/7 - 72.
4*(z - 63)*(z - 2)*(z - 1)/7
Let -35*r**4 + 725*r**3 - 490*r**2 - 200*r = 0. What is r?
-2/7, 0, 1, 20
Factor -20*l**4 + 15*l**3 + 50*l**2.
-5*l**2*(l - 2)*(4*l + 5)
Factor u**3 - 3*u - 2.
(u - 2)*(u + 1)**2
Find i such that 27*i**5 + 129*i**4 - 1515*i**3 - 4665*i**2 - 2292*i + 756 = 0.
-9, -2, -1, 2/9, 7
Solve -2*p**3 + 88*p**2/3 + 242*p/3 - 5324/3 = 0.
-22/3, 11
Factor 5*g**3 - 85*g**2 + 200*g + 1500.
5*(g - 10)**2*(g + 3)
Determine w, given that -1764*w**3 + 3668*w**2 - 2172*w + 396 = 0.
3/7, 11/9
Factor -k**4/7 + 20*k**3/7 - 67*k**2/7 + 48*k/7.
-k*(k - 16)*(k - 3)*(k - 1)/7
Find a, given that -2*a**4 + 76*a**3 - 456*a**2 + 692*a - 310 = 0.
1, 5, 31
Factor u**2 + 10*u.
u*(u + 10)
Suppose 27*g**3 + 18*g**2 - 60*g + 24 = 0. Calculate g.
-2, 2/3
Factor 3*v**3/7 + 3*v**2/7.
3*v**2*(v + 1)/7
Determine w, given that -3*w**4 - 1311*w**3 - 3915*w**2 - 3909*w - 1302 = 0.
-434, -1
Factor -85*u**2 - 20*u.
-5*u*(17*u + 4)
Factor 2*b**2/5 - 8*b/5 + 8/5.
2*(b - 2)**2/5
Factor -2*r**2/3 - 16*r/3 - 8.
-2*(r + 2)*(r + 6)/3
Let 4*y**5 - 48*y**4 + 40*y**3 + 48*y**2 - 44*y = 0. What is y?
-1, 0, 1, 11
Determine f so that -5*f**2 - 135*f - 130 = 0.
-26, -1
Factor 2*i**2 + 64*i + 120.
2*(i + 2)*(i + 30)
Factor 4*f**5 + 544*f**4 - 8400*f**3.
4*f**3*(f - 14)*(f + 150)
Suppose 3*v**4/8 - 63*v**3/8 + 117*v**2/8 - 57*v/8 = 0. What is v?
0, 1, 19
Let 5*q**4 + 5*q**3 - 50*q**2 - 20*q + 120 = 0. What is q?
-3, -2, 2
Factor 4*w**2/7 + 116*w/7 - 120/7.
4*(w - 1)*(w + 30)/7
Factor k**2/3 + 1122*k + 944163.
(k + 1683)**2/3
Solve 2*m**2/7 + 62*m/7 + 60/7 = 0.
-30, -1
Let 2*d**3/5 - 624*d**2/5 + 48672*d/5 = 0. What is d?
0, 156
Let 147*v**3 + 398*v**2 - 131*v - 6 = 0. What is v?
-3, -2/49, 1/3
Solve -5*f**3 + 17685*f**2 - 20850615*f + 8194291695 = 0.
1179
Determine v so that 6*v**2/7 + 46*v/7 = 0.
-23/3, 0
Let -2*t**4 + 8*t**2 = 0. What is t?
-2, 0, 2
Solve -14*m**5/5 - 88*m**4/5 + 858*m**3/5 - 252*m**2 - 432*m/5 = 0 for m.
-12, -2/7, 0, 3
Factor 11*b**3/2 + 123*b**2/2 + 110*b + 18.
(b + 2)*(b + 9)*(11*b + 2)/2
Solve -5*h**4/4 + 450*h**3 - 3585*h**2/4 + 895*h/2 = 0 for h.
0, 1, 358
Find g such that 4*g**2/7 - 39*g + 68/7 = 0.
1/4, 68
Let q**2/5 - 67*q/5 = 0. Calculate q.
0, 67
Determine q, given that -22*q**5/5 + 48*q**4/5 - 6*q**3 + 4*q**2/5 = 0.
0, 2/11, 1
Factor -14*j**5 + 76*j**4 - 848*j**3/7 + 160*j**2/7 + 352*j/7 + 64/7.
-2*(j - 2)**3*(7*j + 2)**2/7
Factor 4*c**2 + 28*c + 40.
4*(c + 2)*(c + 5)
Factor -3*p**2 - 84*p + 180.
-3*(p - 2)*(p + 30)
Suppose -232*u**5/11 - 3174*u**4/11 - 4536*u**3/11 + 1720*u**2/11 - 96*u/11 = 0. Calculate u.
-12, -2, 0, 2/29, 1/4
Factor 4*x**2/7 + 136*x/7 + 1156/7.
4*(x + 17)**2/7
Factor -2*j**2 + 1236*j - 190962.
-2*(j - 309)**2
Factor y**3/6 + 85*y**2/2 + 2852*y + 53816/3.
(y + 7)*(y + 124)**2/6
Find k, given that k**4/7 - 51*k**2/7 - 14*k - 48/7 = 0.
-6, -1, 8
Find i such that -25*i**5 - 85*i**4 - 22*i**3 + 124*i**2 + 40*i - 32 = 0.
-2, -4/5, 2/5, 1
Factor -2*l**2 + 176*l - 3872.
-2*(l - 44)**2
Solve -q**3/3 + 4*q**2/3 + 25*q/3 - 28/3 = 0.
-4, 1, 7
What is v in -2*v**5 + 22*v**4 + 188*v**3 + 284*v**2 - 186*v - 306 = 0?
-3, -1, 1, 17
Let 3*x**3/2 - 21*x**2/2 - 51*x + 60 = 0. What is x?
-4, 1, 10
What is v in -2*v**2/7 + 102*v/7 + 104/7 = 0?
-1, 52
Factor 5*o**2/6 + 7*o - 9/2.
(o + 9)*(5*o - 3)/6
Factor 4*y**3 - 100*y**2 - 448*y - 464.
4*(y - 29)*(y + 2)**2
Factor -5*w**4 - 65*w**3 + 525*w**2 - 855*w.
-5*w*(w - 3)**2*(w + 19)
Factor 5*d**3 + 115*d**2 + 195*d - 315.
5*(d - 1)*(d + 3)*(d + 21)
Determine d, given that -d**4/4 + 29*d**3/4 - 56*d**2 + 49*d = 0.
0, 1, 14
Let 5*f**3 - 335*f**2 + 2975*f - 7125 = 0. Calculate f.
5, 57
Factor n**2 - 2*n + 1.
(n - 1)**2
Let 2*g**5/7 - 40*g**4/7 + 136*g**3/7 - 128*g**2/7 = 0. Calculate g.
0, 2, 16
Find c such that 3*c**5/4 - 31*c**4/4 + 37*c**3/2 - 5*c**2 - 14*c = 0.
-2/3, 0, 2, 7
Determine y, given that -865*y**2 - 890*y - 25 = 0.
-1, -5/173
What is s in -28*s**3 - 1672*s**2 - 24720*s + 7200 = 0?
-30, 2/7
Find k such that -567*k**4 + 1824*k**3 - 1509*k**2 + 264*k - 12 = 0.
2/27, 1/7, 1, 2
Determine p, given that -5*p**3/2 + 10*p**2 + 70*p + 80 = 0.
-2, 8
Determine v, given that -v**4/2 - 4*v**3 + 10*v**2 = 0.
-10, 0, 2
Let 12*l**4/5 + 68*l**3/5 - 132*l**2/5 - 132*l/5 + 56/5 = 0. Calculate l.
-7, -1, 1/3, 2
Find d, given that -4*d**2 + 16*d + 180 = 0.
-5, 9
Factor -c**4/6 - c**3 - 11*c**2/6 - c.
-c*(c + 1)*(c + 2)*(c + 3)/6
Factor 4*l**5 + 12*l**4 - 64*l**3 + 48*l**2.
4*l**2*(l - 2)*(l - 1)*(l + 6)
Factor 3*o**2/8 + 15*o/8 + 3/2.
3*(o + 1)*(o + 4)/8
Determine g so that 5*g**3 - 55*g**2 + 180*g - 180 = 0.
2, 3, 6
Let -578*p**2/5 + 5644*p/5 - 13778/5 = 0. Calculate p.
83/17
Factor 3*i**3/2 - 225*i**2/2 - 459*i/2 - 231/2.
3*(i - 77)*(i + 1)**2/2
Factor 4*d**2 + 23904*d + 35712576.
4*(d + 2988)**2
Factor -2*j**3/3 + 26*j**2/3 - 38*j/3 - 22.
-2*(j - 11)*(j - 3)*(j + 1)/3
Factor 40*i**5 - 185*i**4 + 285*i**3 - 145*i**2 - 25*i + 30.
5*(i - 2)*(i - 1)**3*(8*i + 3)
Find m, given that -3*m**2/2 + 18*m + 567/2 = 0.
-9, 21
Suppose l**3/2 + 203*l**2/6 + 1646*l/3 - 560/3 = 0. Calculate l.
-40, -28, 1/3
Factor 4*c**3 - 16*c**2 - 28*c + 40.
4*(c - 5)*(c - 1)*(c + 2)
Factor 4*y**2 + 6328*y + 2502724.
4*(y + 791)**2
Determine r, given that -240*r**3 + 162*r**2 - 15*r/2 = 0.
0, 1/20, 5/8
Factor 2*g**3 + 936*g**2 + 146016*g + 7592832.
2*(g + 156)**3
Factor -5*u**4 - 1175*u**3 - 3495*u**2 - 3485*u - 1160.
-5*(u + 1)**3*(u + 232)
Solve 4*n**4 + 48*n**3 - 168*n**2 + 176*n - 60 = 0 for n.
-15, 1
Factor j**3/4 + j**2/2 - 2*j.
j*(j - 2)*(j + 4)/4
Let -2*z**2/19 + 130*z/19 - 812/19 = 0. What is z?
7, 58
Factor -5*k**4 + 100*k**3 - 495*k**2 - 100*k + 500.
-5*(k - 10)**2*(k - 1)*(k + 1)
Suppose 2*r**3 - 1062*r**2 + 187974*r - 11090466 = 0. What is r?
177
Suppose 5*q**2 + 5*q - 30 = 0. Calculate q.
-3, 2
Factor -3*j**4 - 48*j**3 - 126*j**2 - 120*j - 39.
-3*(j + 1)**3*(j + 13)
Find u such that u**4 - 580*u**3 + 111744*u**2 - 7075568*u - 14602768 = 0.
-2, 194
Factor -2*k**3 + 62*k**2 - 510*k + 450.
-2*(k - 15)**2*(k - 1)
Find s, given that 87*s**5 + 456*s**4/7 - 159*s**3/7 - 6*s**2/7 = 0.
-1, -1/29, 0, 2/7
Factor -5*d**2 - 2600*d - 338000.
-5*(d + 260)**2
Let w**2/2 - 26*w - 53/2 = 0. Calculate w.
-1, 53
Factor 2*u**2/3 - 352*u/3 + 15488/3.
2*(u - 88)**2/3
Factor 92*q**2/7 - 38*q/7 - 4/7.
2*(2*q - 1)*(23*q + 2)/7
Suppose 4*o**2 - 96*o + 576 = 0. What is o?
12
Factor -2*n**3/3 - 22*n**2 + 96*n - 296/3.
-2*(n - 2)**2*(n + 37)/3
Factor -2*q**3 - 92*q**2 - 1058*q.
-2*q*(q + 23)**2
Let -2*s**3 - 18*s**2/5 - 6*s/5 + 2/5 = 0. Calculate s.
-1, 1/5
Factor -q**5 + 15*q**4 - 83*q**3 + 209*q**2 - 240*q + 100.
-(q - 5)**2*(q - 2)**2*(q - 1)
Factor j**3 - 12*j**2 - 61*j - 48.
(j - 16)*(j + 1)*(j + 3)
Find k, given that -267*k**2 - 530*k + 8 = 0.
-2, 4/267
Factor f**3/3 + 650*f**2 + 422500*f + 274625000/3.
(f + 650)**3/3
Find v such that 2*v**3/9 + 370*v**2/9 - 758*v/3 + 382 = 0.
-191, 3
Solve -2*r**4 - 72*r**3 + 398*r**2 - 492*r = 0.
-41, 0, 2, 3
Factor 5*c**4 - 20*c**3 + 10*c**2 + 20*c - 15.
5*(c - 3)*(c - 1)**2*(c + 1)
Let q**5 - 3*q**4 - 130*q**3 - 340*q**2 + 24*q + 448 = 0. Calculate q.
-8, -2, 1, 14
Let