 0
Factor 65*x**2 - 320*x - 25.
5*(x - 5)*(13*x + 1)
Factor -2*p**3 - 204*p**2 + 414*p - 208.
-2*(p - 1)**2*(p + 104)
Factor 4*u**2/7 - 1844*u/7.
4*u*(u - 461)/7
Find g such that -g**4/5 + 162*g**3/5 + 493*g**2/5 + 66*g = 0.
-2, -1, 0, 165
Let 10*k**3 + 65*k**2 - 475*k + 220 = 0. Calculate k.
-11, 1/2, 4
Determine y so that y**3 + 170*y**2 + 337*y + 168 = 0.
-168, -1
Factor 2*b**3/21 + 110*b**2/21 + 208*b/3 - 224/3.
2*(b - 1)*(b + 28)**2/21
Suppose -q**4/8 + q**3/8 + 2*q**2 - q/2 - 6 = 0. Calculate q.
-3, -2, 2, 4
Factor -2*d**2/3 + 32*d/3.
-2*d*(d - 16)/3
Factor -3*p**4 - 33*p**3 - 126*p**2 - 204*p - 120.
-3*(p + 2)**3*(p + 5)
Find r, given that r**5 + 21*r**4 - r**3 - 21*r**2 = 0.
-21, -1, 0, 1
Find h such that -5*h**4 + 25*h**3 + 40*h**2 - 60*h = 0.
-2, 0, 1, 6
Solve c**3/3 + 193*c**2 + 37249*c + 7189057/3 = 0.
-193
Factor 5*w**2 + 25*w - 30.
5*(w - 1)*(w + 6)
Solve l**4/8 - l**3 + 5*l**2/8 + 7*l/4 = 0 for l.
-1, 0, 2, 7
Factor -2*a**4 - 8*a**3 - 4*a**2 + 8*a + 6.
-2*(a - 1)*(a + 1)**2*(a + 3)
Let 42*w**4/13 + 7922*w**3/13 - 3046*w**2/13 - 4162*w/13 - 756/13 = 0. Calculate w.
-189, -1/3, -2/7, 1
Factor 4*t**2/7 + 1756*t/7 - 504.
4*(t - 2)*(t + 441)/7
What is g in -25*g**5 - 115*g**4 + 200*g**3 - 60*g**2 = 0?
-6, 0, 2/5, 1
Factor -5*u**3/4 + 2735*u**2/4 - 369875*u/4 - 1134375/4.
-5*(u - 275)**2*(u + 3)/4
Suppose t**3 - 22*t**2 - 203*t = 0. Calculate t.
-7, 0, 29
Let v**2/2 - 31*v/2 + 15 = 0. Calculate v.
1, 30
Factor 2*n**4/7 - 16*n**3/7 + 12*n**2/7 + 80*n/7 + 50/7.
2*(n - 5)**2*(n + 1)**2/7
Factor -2*j**2 - 740*j - 68450.
-2*(j + 185)**2
Determine d so that 5*d**5 - 55*d**4 + 175*d**3 - 125*d**2 = 0.
0, 1, 5
Factor 8*c**3/5 + 22*c**2 + 76*c/5 - 26/5.
2*(c + 1)*(c + 13)*(4*c - 1)/5
Factor -k**5/4 - 9*k**4/4 - 3*k**3/4 + 73*k**2/4 - 24*k + 9.
-(k - 1)**3*(k + 6)**2/4
Factor g**4 - 158*g**3 + 1773*g**2 - 3076*g + 1460.
(g - 146)*(g - 10)*(g - 1)**2
Factor 5*o**4 + 135*o**3 + 840*o**2 - 980*o.
5*o*(o - 1)*(o + 14)**2
Suppose 2*m**4 + 64*m**3 + 94*m**2 - 760*m + 600 = 0. Calculate m.
-30, -5, 1, 2
Factor u**4/2 + 5*u**3/2 - 33*u**2/2 + 27*u/2.
u*(u - 3)*(u - 1)*(u + 9)/2
What is x in 2*x**4/7 + 8*x**3/7 + 6*x**2/7 - 8*x/7 - 8/7 = 0?
-2, -1, 1
Find w such that 5*w**4/3 + 335*w**3/3 - 340*w**2/3 = 0.
-68, 0, 1
Let -18*t**4/13 - 310*t**3/13 - 860*t**2/13 - 680*t/13 - 112/13 = 0. Calculate t.
-14, -2, -1, -2/9
Factor -3*y**3/5 + 228*y**2/5 - 447*y/5 + 222/5.
-3*(y - 74)*(y - 1)**2/5
What is i in 2*i**2/7 + 12*i/7 - 32/7 = 0?
-8, 2
Find g, given that -5*g**5 - 5*g**4 + 25*g**3 - 15*g**2 = 0.
-3, 0, 1
Factor -3*t**3/2 - 15*t**2 + 1632*t - 16128.
-3*(t - 16)**2*(t + 42)/2
Factor -5*j**2 - 4515*j + 4520.
-5*(j - 1)*(j + 904)
Let -10*x**2/3 + 908*x/3 - 240 = 0. Calculate x.
4/5, 90
Factor r**3/5 - r**2/5 - 2*r - 8/5.
(r - 4)*(r + 1)*(r + 2)/5
Factor -2*m**4/7 + 44*m**3/7 - 48*m**2 + 140*m - 98.
-2*(m - 7)**3*(m - 1)/7
Suppose 6*x**5 + 1089*x**4 + 48021*x**3 - 127494*x**2 - 22080*x + 152352 = 0. Calculate x.
-92, -1, 3/2, 2
Find t such that -2*t**5 + 50*t**4 + 2*t**3 - 50*t**2 = 0.
-1, 0, 1, 25
Suppose -3*i**4/4 + 45*i**3/4 - 39*i**2/4 - 45*i/4 + 21/2 = 0. What is i?
-1, 1, 14
Let -2*n**2/3 + 692*n/3 - 1376/3 = 0. Calculate n.
2, 344
Factor 4*c**4/7 - 120*c**3/7 + 144*c**2 - 224*c.
4*c*(c - 14)**2*(c - 2)/7
Solve -j**2/3 + 25/3 = 0 for j.
-5, 5
Suppose 14*k**5 + 12*k**4 - 44*k**3 - 8*k**2 + 30*k - 4 = 0. Calculate k.
-2, -1, 1/7, 1
Factor -2*y**3/3 + 44*y**2/3 - 14*y.
-2*y*(y - 21)*(y - 1)/3
Let -4*z**2 - 27096*z - 45887076 = 0. Calculate z.
-3387
Factor 5*m**3 - 2310*m**2 + 266805*m.
5*m*(m - 231)**2
Factor 5*h**3 - 450*h**2 + 10965*h - 36980.
5*(h - 43)**2*(h - 4)
Determine b so that -25*b**3 - 1280*b**2 + 1036*b - 208 = 0.
-52, 2/5
Let -7*u**5 + 47*u**4 + 203*u**3 + 257*u**2 + 128*u + 20 = 0. What is u?
-1, -2/7, 10
Factor -4*d**3 + 1916*d**2 - 228480*d - 230400.
-4*(d - 240)**2*(d + 1)
Factor -2*b**2/3 + 80*b/3 - 26.
-2*(b - 39)*(b - 1)/3
What is c in 4*c**5 + 12*c**4 - 4*c**3 - 12*c**2 = 0?
-3, -1, 0, 1
Factor 9*b**3/8 - 85*b**2/4 + 873*b/8 - 81.
(b - 9)**2*(9*b - 8)/8
Find y, given that y**4 - 28*y**3 - 61*y**2 + 28*y + 60 = 0.
-2, -1, 1, 30
Suppose 2*h**3/3 - 20*h**2/3 + 16*h/3 + 128/3 = 0. What is h?
-2, 4, 8
Factor 3*w**3/2 - 16593*w**2/2 + 11467836*w + 11476134.
3*(w - 2766)**2*(w + 1)/2
Solve -2*w**3/3 + 20*w**2/3 + 106*w/3 + 28 = 0.
-3, -1, 14
Find p such that -p**3 + 2243*p**2 - 1256640*p - 1258884 = 0.
-1, 1122
Factor -2*z**3/7 + 2*z**2/7 + 20*z/7 + 16/7.
-2*(z - 4)*(z + 1)*(z + 2)/7
Factor t**2/4 + 219*t + 47961.
(t + 438)**2/4
Factor -l**2 + 262*l - 1285.
-(l - 257)*(l - 5)
Suppose -w**4 - 15*w**3/4 + 52*w**2 + 165*w/4 - 27/2 = 0. What is w?
-9, -1, 1/4, 6
Factor -5*p**2 + 455*p - 890.
-5*(p - 89)*(p - 2)
Factor -y**5/2 - 57*y**4/2 - 288*y**3 + 3584*y**2.
-y**2*(y - 7)*(y + 32)**2/2
Suppose -3*u**4 + 120*u**3 - 231*u**2 + 114*u = 0. Calculate u.
0, 1, 38
Factor 2*g**2/7 + 74*g/7 - 720/7.
2*(g - 8)*(g + 45)/7
Solve 9*n**5 - 249*n**4 - 621*n**3 - 279*n**2 + 264*n + 180 = 0.
-1, 2/3, 30
Determine y so that -4*y**4/3 - 8*y**3 - 12*y**2 = 0.
-3, 0
Determine k, given that -k**4 + 67*k**3/3 - 61*k**2/9 - 109*k/9 - 22/9 = 0.
-1/3, 1, 22
Solve 3*a**3 + 219*a**2 + 4104*a + 3888 = 0 for a.
-36, -1
Find x, given that 64*x**4/5 + 1248*x**3/5 + 1140*x**2 - 3088*x/5 + 396/5 = 0.
-11, -9, 1/4
Find z such that 3*z**5/7 - 39*z**4/7 + 144*z**3/7 - 108*z**2/7 = 0.
0, 1, 6
Factor -4*w**3/5 + 736*w**2/5 + 148*w.
-4*w*(w - 185)*(w + 1)/5
Factor -3*z**2 + 5976*z - 2976048.
-3*(z - 996)**2
Determine r, given that -2*r**5/15 + 8*r**4/3 - 226*r**3/15 + 164*r**2/15 + 312*r/5 - 432/5 = 0.
-2, 2, 9
Factor -z**3 - 6*z**2 + 31*z + 36.
-(z - 4)*(z + 1)*(z + 9)
Factor -3*d**2/2 - 153*d/2 + 78.
-3*(d - 1)*(d + 52)/2
Find p such that 4*p**4 + 4*p**3 - 4*p**2 - 4*p = 0.
-1, 0, 1
Let 5*l**2 + 1785*l = 0. What is l?
-357, 0
Suppose -14*c**3 + 78*c**2 - 90*c - 54 = 0. What is c?
-3/7, 3
Factor -8*q**2 - 380*q - 372.
-4*(q + 1)*(2*q + 93)
Solve k**4 + 58*k**3 + 848*k**2 + 1526*k + 735 = 0 for k.
-35, -21, -1
Solve -3*o**4 + 57*o**3 = 0.
0, 19
Factor -2*s**2 + 98.
-2*(s - 7)*(s + 7)
Suppose l**3/10 - 13*l**2/10 + 4*l - 18/5 = 0. Calculate l.
2, 9
Suppose -2*b**5/3 + 28*b**4/3 - 14*b**3 - 80*b**2/3 + 88*b/3 + 32 = 0. What is b?
-1, 2, 12
Determine s so that 4*s**5 - 288*s**4 + 5940*s**3 - 26008*s**2 - 8448*s + 139392 = 0.
-2, 4, 33
Solve -2360*v**2 + 5*v = 0.
0, 1/472
Find z such that -2*z**3/7 - 78*z**2/7 - 348*z/7 - 272/7 = 0.
-34, -4, -1
Find b such that 3*b**3 - 123*b**2 + 1005*b + 1131 = 0.
-1, 13, 29
Determine z so that -12*z**4/5 + 309*z**3/5 - 498*z**2/5 - 144*z/5 = 0.
-1/4, 0, 2, 24
What is k in -6*k**4/11 + 28*k**3/11 - 40*k**2/11 + 16*k/11 = 0?
0, 2/3, 2
Let -2*k**2 - 30*k + 32 = 0. What is k?
-16, 1
Find i such that -2*i**3/3 - 13*i**2/3 + 32*i/3 - 17/3 = 0.
-17/2, 1
Factor -5*y**5 - 45*y**4 + 305*y**3 - 595*y**2 + 480*y - 140.
-5*(y - 2)*(y - 1)**3*(y + 14)
Suppose -g**2 + 15*g - 44 = 0. Calculate g.
4, 11
Solve -5*b**2 - 690*b - 1360 = 0.
-136, -2
Factor l**2/2 + 73*l/2 - 37.
(l - 1)*(l + 74)/2
What is x in 5*x**4 + 22*x**3 + 23*x**2 + 6*x = 0?
-3, -1, -2/5, 0
Factor -2*f**3/7 - 50*f**2/7 - 28*f + 608/7.
-2*(f - 2)*(f + 8)*(f + 19)/7
Solve 32*d**5/15 + 272*d**4/15 + 10*d**3/3 - 374*d**2/3 + 908*d/15 - 112/15 = 0 for d.
-7, -4, 1/4, 2
Suppose -3*d**5/7 - 183*d**4/7 - 3627*d**3/7 - 25797*d**2/7 - 67350*d/7 - 45000/7 = 0. Calculate d.
-25, -6, -4, -1
Factor q**5 + 197*q**4 + 194*q**3 - 392*q**2.
q**2*(q - 1)*(q + 2)*(q + 196)
What is x in -2*x**2/3 + 82*x/3 = 0?
0, 41
Find a such that a**5 + 201*a**4 + 10195*a**3 + 9003*a**2 - 49400*a + 30000 = 0.
-100, -3, 1
Factor -2*s**3/11 - 332*s**2/11 - 16498*s/11 - 213160/11.
-2*(s + 20)*(s + 73)**2/11
Solve f**2/2 - 66*f + 3131/2 = 0.
31, 101
Suppose -11*t**4/8 - 39*t**3/8 - 51*t**2/8 - 29*t/8 - 3/4 = 0. What is t?
-1, -6/11
Let 2*w**4 + 48*w**3 + 416*w**2 + 1536*w + 2048 = 0. Calculate w.
-8, -4
Solve 3*h**5/8 + 3*h**4/8 - 15*h**3/8 - 3*h**2/8 + 3*h - 3/2 = 0.
-2, 1
Factor -a**3/2 + 23*a**2/2 + 16*a - 1152.
-(a - 16)**2*(a + 9)/2
Factor -8*s**3 + 166*s**2 - 920*s + 600.
-2*(s - 10)**2*(4*s - 3)
Suppose -2*p**5/9 - 14*p**4/3 - 22*p**3 - 30*p**2 = 0. Calculate p.
-15, -3, 0
Factor l**2 + 160*l - 489.
(l - 3)*(l + 163)
Solve 5