 v, given that 4*v**3/7 - 117*v**2/7 - 355*v/7 + 96/7 = 0.
-3, 1/4, 32
Factor 2187*a**2/4 - 81*a/2 + 3/4.
3*(27*a - 1)**2/4
Factor 93*n**2 - 165*n + 72.
3*(n - 1)*(31*n - 24)
Let k**5/5 - 996*k**4/5 + 248996*k**3/5 - 493022*k**2/5 - 248997*k/5 + 494018/5 = 0. What is k?
-1, 1, 2, 497
What is g in -2*g**2/5 - 234*g/5 - 232/5 = 0?
-116, -1
Solve 9*c**4 - 39*c**3 + 58*c**2 - 36*c + 8 = 0 for c.
2/3, 1, 2
Find m, given that 4*m**4 - 48*m**3 - 60*m**2 + 104*m = 0.
-2, 0, 1, 13
Suppose w**3/2 + 11*w**2 - 109*w/2 - 65 = 0. Calculate w.
-26, -1, 5
Factor 5*u**2/3 + 21040*u/3 + 22134080/3.
5*(u + 2104)**2/3
What is a in a**2 + 251*a + 988 = 0?
-247, -4
Find g, given that -172*g**3 - 176*g**2 + 340*g + 8 = 0.
-2, -1/43, 1
Find o, given that -2*o**4 - 4*o**3 + 768*o**2 + 6336*o = 0.
-12, 0, 22
Factor -n**2/4 - 5*n/4.
-n*(n + 5)/4
Suppose 2*v**3/5 - 87*v**2/5 + 924*v/5 + 484/5 = 0. What is v?
-1/2, 22
Suppose -2*t**2/15 + 544*t/15 = 0. Calculate t.
0, 272
Find p, given that -p**4/3 + 19*p**3/3 - 35*p**2/3 + 17*p/3 = 0.
0, 1, 17
Find j, given that -3*j**2/5 + 81*j - 402/5 = 0.
1, 134
Factor -3*h**2/7 + 555*h/7 - 552/7.
-3*(h - 184)*(h - 1)/7
Determine u, given that -15*u**4 + 580*u**3 - 5205*u**2 - 7800*u - 2000 = 0.
-1, -1/3, 20
Factor 5*y**2 + 40*y + 75.
5*(y + 3)*(y + 5)
Suppose 2*g**5/3 - 14*g**4/9 - 20*g**3/9 + 20*g**2/9 + 14*g/9 - 2/3 = 0. Calculate g.
-1, 1/3, 1, 3
Factor -4*c**2/3 + 66*c + 324.
-2*(c - 54)*(2*c + 9)/3
Factor -2*p**3/23 - 18*p**2/23 + 32*p/23 + 120/23.
-2*(p - 3)*(p + 2)*(p + 10)/23
Factor -2*l**3 - 114*l**2 - 622*l - 510.
-2*(l + 1)*(l + 5)*(l + 51)
Factor -g**2/5 + 5976*g/5 - 8928144/5.
-(g - 2988)**2/5
Find n, given that -3*n**3/2 - 507*n**2/4 + 2955*n/4 - 675/2 = 0.
-90, 1/2, 5
Factor 5*d**5 - 45*d**4 + 110*d**3 - 160*d.
5*d*(d - 4)**2*(d - 2)*(d + 1)
Determine h, given that -4*h**3 + 2580*h**2 - 554700*h + 39753500 = 0.
215
Factor 2*g**2/11 - 108*g/11 - 224/11.
2*(g - 56)*(g + 2)/11
Find h such that 15*h**4/8 + 129*h**3/8 + 153*h**2/4 + 39*h/2 - 15 = 0.
-5, -2, 2/5
Let 2*l**4 + 30*l**3 - 2*l**2 - 30*l = 0. Calculate l.
-15, -1, 0, 1
Factor 5*o**3 + 1000*o**2 + 50000*o.
5*o*(o + 100)**2
What is z in 3*z**3 - 24*z**2 - 57*z - 30 = 0?
-1, 10
Determine p so that -96*p**4 - 8144*p**3/3 + 1994*p**2 - 482*p + 116/3 = 0.
-29, 2/9, 1/4
Factor 4*n**2/5 - 2*n/5 - 2/5.
2*(n - 1)*(2*n + 1)/5
Suppose 2*j**4 + 84*j**3 = 0. What is j?
-42, 0
Suppose -2*f**3/7 + 1906*f**2/7 - 272*f = 0. Calculate f.
0, 1, 952
Solve -3*g**3 - 314*g**2 - 517*g - 206 = 0 for g.
-103, -1, -2/3
Let 60*x**4 + 28972*x**3 + 3480936*x**2 - 3978480*x + 468512 = 0. Calculate x.
-242, 2/15, 1
Find n such that 3*n**2/7 - 14178*n/7 + 16751307/7 = 0.
2363
Solve f**5/5 + 8*f**4/5 + 5*f**3 + 38*f**2/5 + 28*f/5 + 8/5 = 0.
-2, -1
Suppose d**2/3 + 6*d - 19/3 = 0. Calculate d.
-19, 1
Suppose 2*h**3/7 - 68*h**2/7 - 82*h = 0. What is h?
-7, 0, 41
What is i in 6*i**3/11 + 8946*i**2/11 + 3330144*i/11 - 3339096/11 = 0?
-746, 1
Factor 5*r**3 - 15*r - 10.
5*(r - 2)*(r + 1)**2
Solve -3*j**5 + 111*j**4 - 90*j**3 - 660*j**2 + 408*j + 864 = 0.
-2, -1, 2, 36
What is k in k**3 + 360*k**2 + 33792*k + 247808 = 0?
-176, -8
Solve -r**4/2 - 5*r**3/2 - r**2/2 + 21*r/2 + 9 = 0 for r.
-3, -1, 2
Factor -h**3/2 - 11*h**2/2.
-h**2*(h + 11)/2
Factor w**2/5 - 21*w/5 + 38/5.
(w - 19)*(w - 2)/5
Suppose -3*q**3 + 72*q**2 - 249*q + 180 = 0. Calculate q.
1, 3, 20
Factor 3*w**3 + 12*w**2 - 63*w.
3*w*(w - 3)*(w + 7)
Factor -p**3/12 + p**2/3 - p/4.
-p*(p - 3)*(p - 1)/12
Find i such that 2*i**5 - 4*i**4/7 - 36*i**3 + 520*i**2/7 - 338*i/7 + 60/7 = 0.
-5, 2/7, 1, 3
Factor 18*s**2 + 4*s/3.
2*s*(27*s + 2)/3
Suppose 112*g**4 - 4*g**3 - 764*g**2 + 720*g - 144 = 0. What is g?
-3, 2/7, 3/4, 2
Let 702464*q**4 - 1517824*q**3 + 231840*q**2 - 12204*q + 216 = 0. Calculate q.
3/56, 2
Let 5*a**5/6 + 15*a**4/2 + 115*a**3/6 + 25*a**2/2 = 0. What is a?
-5, -3, -1, 0
Factor -2*a**5/3 + 16*a**3 + 128*a**2/3 + 32*a.
-2*a*(a - 6)*(a + 2)**3/3
Suppose 3*y**5 - 39*y**4 + 90*y**3 + 12*y**2 - 120*y = 0. Calculate y.
-1, 0, 2, 10
Factor 4*k**3 + 332*k**2 + 2096*k - 2432.
4*(k - 1)*(k + 8)*(k + 76)
Find a, given that -3*a**2 + 2124*a + 10695 = 0.
-5, 713
Determine s, given that -4*s**5 + 4*s**4 + 52*s**3 - 4*s**2 - 192*s - 144 = 0.
-2, -1, 3
Solve -3*y**4 + 130*y**3 + 668*y**2/3 + 314*y/3 + 15 = 0 for y.
-1, -1/3, 45
What is x in -8*x**5 + 204*x**4 + 1044*x**3 + 1084*x**2 - 108*x - 360 = 0?
-3, -1, 1/2, 30
Factor m**3/2 + 283*m**2/4 + 173*m - 417/4.
(m + 3)*(m + 139)*(2*m - 1)/4
Factor -n**2/6 + 17*n/6.
-n*(n - 17)/6
Factor -f**4/3 - 7*f**3/3 - 5*f**2 - 3*f.
-f*(f + 1)*(f + 3)**2/3
Let 21*d**2/2 - 3207*d/2 - 459 = 0. What is d?
-2/7, 153
Solve 25*i**4 - 460*i**3 - 795*i**2 - 110*i + 200 = 0.
-1, 2/5, 20
Factor 5*m**4 - 80*m**3 + 255*m**2 - 180*m.
5*m*(m - 12)*(m - 3)*(m - 1)
Determine c, given that -c**4/3 + 82*c**3/3 - 51*c**2 - 556*c/3 - 320/3 = 0.
-1, 4, 80
Solve x**2 - 40*x + 364 = 0.
14, 26
Suppose 4*u**2 - 46192*u + 133356304 = 0. What is u?
5774
Find h, given that -484*h**5 + 1837*h**4 + 910*h**3 + 425*h**2/4 = 0.
-5/22, 0, 17/4
Find h such that -3*h**2 - 63*h - 240 = 0.
-16, -5
Factor x**2/6 - 3*x/2 + 10/3.
(x - 5)*(x - 4)/6
Solve s**3/6 - 13*s**2/12 + 11*s/12 = 0.
0, 1, 11/2
Solve -10*w**5 + 126*w**4 + 102*w**3 - 3310*w**2 - 4572*w - 1296 = 0.
-4, -1, -2/5, 9
Determine b so that -196*b**5 + 1288*b**4 - 2256*b**3 + 992*b**2 - 128*b = 0.
0, 2/7, 2, 4
Factor -5*q**2 - 110*q + 3315.
-5*(q - 17)*(q + 39)
Suppose 2*f**5 - 20*f**4 - 40*f**3 + 220*f**2 - 250*f + 88 = 0. Calculate f.
-4, 1, 11
Find o, given that o**5/4 - 7*o**4/4 - 9*o**3/4 + 7*o**2/4 + 2*o = 0.
-1, 0, 1, 8
Factor 9*h**4 - 38*h**3 + 60*h**2 - 42*h + 11.
(h - 1)**3*(9*h - 11)
Factor 20*a**3 + 665*a**2 - 1210*a + 525.
5*(a - 1)*(a + 35)*(4*a - 3)
Factor 2*x**3/7 + 56*x**2 + 778*x/7 + 388/7.
2*(x + 1)**2*(x + 194)/7
Determine z so that -5*z**3/4 + 91*z**2/2 + 501*z/4 + 117/2 = 0.
-2, -3/5, 39
Factor -72*v**2 - 76*v - 4.
-4*(v + 1)*(18*v + 1)
Determine o so that -o**3/2 + 14*o**2 - 53*o/2 + 13 = 0.
1, 26
Factor a**2/10 + 9*a/10 - 1166/5.
(a - 44)*(a + 53)/10
Solve 5*z**4 - 1520*z**3 + 173280*z**2 - 8779520*z + 166810880 = 0 for z.
76
Determine l, given that 2*l**3/11 + 6*l**2/11 = 0.
-3, 0
Find c, given that 4*c**4/3 + 200*c**3/3 + 380*c**2/3 - 200*c/3 - 128 = 0.
-48, -2, -1, 1
Solve 3*j**4 + 12*j**3 + 15*j**2 + 6*j = 0.
-2, -1, 0
Determine l, given that 363*l**5/2 + 297*l**4 + 111*l**3/2 - 54*l**2 + 6*l = 0.
-1, 0, 2/11
Determine z so that -3*z**4/5 - 186*z**3/5 - 72*z**2 = 0.
-60, -2, 0
Factor -r**4/3 - 97*r**3/3 - 95*r**2 - 283*r/3 - 94/3.
-(r + 1)**3*(r + 94)/3
Solve 245*u**5 + 385*u**4 - 330*u**3 - 260*u**2 - 40*u = 0 for u.
-2, -2/7, 0, 1
Solve 2*g**4 - 6*g**3 + 8*g = 0.
-1, 0, 2
Suppose -9*g**2 - 114*g + 39 = 0. Calculate g.
-13, 1/3
Let 15*t**5 - 129*t**4 - 204*t**3 - 60*t**2 = 0. What is t?
-1, -2/5, 0, 10
Factor j**5/2 - 30*j**4 + 352*j**3 - 1432*j**2 + 2424*j - 1472.
(j - 46)*(j - 8)*(j - 2)**3/2
Factor 4*v**5 - 20*v**4 + 8*v**3 + 32*v**2.
4*v**2*(v - 4)*(v - 2)*(v + 1)
Let i**3/2 + 89*i**2/2 - 48*i - 270 = 0. What is i?
-90, -2, 3
Determine y, given that -y**3/3 - 619*y**2 - 383161*y - 237176659/3 = 0.
-619
Determine g so that -4*g**3 - 136*g**2 + 284*g - 144 = 0.
-36, 1
Factor 2*x**5 - 12*x**4 - 2*x**3 + 12*x**2.
2*x**2*(x - 6)*(x - 1)*(x + 1)
Solve k**2/2 + k/2 - 3 = 0.
-3, 2
Factor 5*h**2 - 110*h + 105.
5*(h - 21)*(h - 1)
What is m in -2*m**5 - 236*m**4 - 8984*m**3 - 116112*m**2 - 364032*m - 331776 = 0?
-48, -18, -2
Factor -3*r**3/5 - 468*r**2/5 - 18252*r/5.
-3*r*(r + 78)**2/5
Factor -45*r**3/2 + 210*r**2 - 250*r + 80.
-5*(r - 8)*(3*r - 2)**2/2
Determine o, given that -o**3 + 14*o**2 - 49*o = 0.
0, 7
Suppose 104*h**3 - 852*h**2 + 508*h + 240 = 0. Calculate h.
-4/13, 1, 15/2
Factor -t**3/4 - 607*t**2/4 - 453*t.
-t*(t + 3)*(t + 604)/4
Solve 2*i**5 - 32*i**4/3 - 32*i**3/3 + 44*i**2/3 + 26*i/3 - 4 = 0.
-1, 1/3, 1, 6
Factor 2*z**3/5 - 4674*z**2/5 + 3641046*z/5 - 945458278/5.
2*(z - 779)**3/5
Factor 4*b**3/3 - 388*b**2/3 - 392*b/3.
4*b*(b - 98)*(b + 1)/3
What is q in -28*q**2 + 376*q + 864 = 0?
-2, 108/7
Solve s**3 - 3*s**2 - 10*s = 0.
-2, 0, 5
What is q in 2*q**3 - 34*q**2 + 126*q + 162 = 0?
-1, 9
Suppose -h**4 + 20*h**3 + h**2 - 20*h = 0. Calculate h.
-1, 0, 1, 20
