
-5, -2/3, 0, 1, 3
Find j such that -256*j**4 - 2752*j**3 + 860*j**2 + 1752*j + 396 = 0.
-11, -3/8, 1
Find u, given that 4*u**4 + 184*u**3 + 176*u**2 - 184*u - 180 = 0.
-45, -1, 1
Factor 2*t**4 + 388*t**3 - 1976*t**2 + 2780*t - 1194.
2*(t - 3)*(t - 1)**2*(t + 199)
Factor -3*t**5/7 + 6*t**4/7 + 9*t**3/7.
-3*t**3*(t - 3)*(t + 1)/7
Solve -5*v**2 + 25*v + 30 = 0 for v.
-1, 6
Factor 245*f**5 - 350*f**4 - 15*f**3 + 100*f**2 + 20*f.
5*f*(f - 1)**2*(7*f + 2)**2
Solve 2*n**3/13 + 3408*n**2/13 + 1935744*n/13 + 366500864/13 = 0 for n.
-568
Determine t so that t**2/8 - 179*t/8 - 181/4 = 0.
-2, 181
Factor -2*r**3/11 + 156*r**2/11 - 298*r/11 - 456/11.
-2*(r - 76)*(r - 3)*(r + 1)/11
Let -2*z**4/5 + 4*z**3/5 + 104*z**2/5 + 188*z/5 + 18 = 0. Calculate z.
-5, -1, 9
Find c, given that -2*c**2 - 456*c/5 + 184/5 = 0.
-46, 2/5
What is p in p**5 - 60*p**4 + 771*p**3 + 3904*p**2 + 3072*p = 0?
-3, -1, 0, 32
Factor -2*i**2/7 - 52*i/7 - 96/7.
-2*(i + 2)*(i + 24)/7
Determine o, given that -4*o**2/3 + 4*o + 16/3 = 0.
-1, 4
Find r such that 2*r**5/3 + 9*r**4 - 20*r**3/3 - 85*r**2/3 - 4*r + 28/3 = 0.
-14, -1, 1/2, 2
Find z such that 2*z**3/7 + 26*z**2/7 - 58*z/7 + 30/7 = 0.
-15, 1
Determine h so that h**5 - 16*h**4 + 84*h**3 - 134*h**2 - 85*h + 150 = 0.
-1, 1, 5, 6
Determine o so that 5*o**5 - 1260*o**4 - 7680*o**3 - 15440*o**2 - 10320*o = 0.
-2, 0, 258
Factor -2*k**2/11 - 24*k/11 + 56/11.
-2*(k - 2)*(k + 14)/11
Factor y**3/5 + 18*y**2 + 405*y.
y*(y + 45)**2/5
Determine z so that 4*z**3 - 144*z**2 - 4*z + 144 = 0.
-1, 1, 36
Factor d**4/2 - 27*d**3/2 - d**2/2 + 27*d/2.
d*(d - 27)*(d - 1)*(d + 1)/2
Find a such that -a**5 - 86*a**4 + 265*a**3 - 178*a**2 = 0.
-89, 0, 1, 2
Factor -3*x**4 - 498*x**3 + 1008*x**2.
-3*x**2*(x - 2)*(x + 168)
Factor 14*k**3 + 15*k**2 - 83*k - 6.
(k - 2)*(k + 3)*(14*k + 1)
Factor 2*g**4/25 + 2936*g**3/25 + 1086284*g**2/25 + 6438648*g/25 + 9618498/25.
2*(g + 3)**2*(g + 731)**2/25
Factor -z**2/3 - 7*z/3 + 98/3.
-(z - 7)*(z + 14)/3
Factor g**2/8 - 19*g/2 + 37/2.
(g - 74)*(g - 2)/8
Suppose 11*s**3/3 - 178*s**2/3 + 736*s/3 - 128/3 = 0. Calculate s.
2/11, 8
Factor -2*o**3/5 - 64*o**2/5 + 2*o/5 + 64/5.
-2*(o - 1)*(o + 1)*(o + 32)/5
Factor 3*o**2 + 825*o/2 - 207.
3*(o + 138)*(2*o - 1)/2
What is z in 2*z**5/7 + 6*z**4/7 - 2*z**3 - 30*z**2/7 + 36*z/7 = 0?
-3, 0, 1, 2
Factor -z**3 + 3*z**2 - 2*z.
-z*(z - 2)*(z - 1)
Let 5*m**5 - 95*m**4 - 15*m**3 + 295*m**2 - 190*m = 0. Calculate m.
-2, 0, 1, 19
Suppose -4*l**4/9 + 4*l**3/3 - 4*l**2/3 + 4*l/9 = 0. What is l?
0, 1
Factor -x**2/11 + 87*x/11 - 86/11.
-(x - 86)*(x - 1)/11
Factor 8*b**3 + 294*b**2 + 2808*b + 1944.
2*(b + 18)**2*(4*b + 3)
Let a**3 + 2*a**2 - 29*a + 42 = 0. Calculate a.
-7, 2, 3
Determine z, given that -4*z**2 - 276*z + 568 = 0.
-71, 2
Factor -195*i**3 - 1160*i**2 - 1695*i + 90.
-5*(i + 3)**2*(39*i - 2)
Find f such that 135*f**3/4 - 38*f**2 - 3*f = 0.
-2/27, 0, 6/5
Solve -375*z**5 + 450*z**4 - 180*z**3 + 24*z**2 = 0 for z.
0, 2/5
Factor -98*h**3/13 - 4942*h**2/13 + 2848*h/13 - 408/13.
-2*(h + 51)*(7*h - 2)**2/13
Suppose 5*w**3 - 205*w**2 - 2240*w + 117760 = 0. Calculate w.
-23, 32
Suppose 20*k**2 - 106*k - 84 = 0. Calculate k.
-7/10, 6
Find q such that -7*q**5/2 + 5*q**4/2 + 9*q**3/2 - 5*q**2/2 - q = 0.
-1, -2/7, 0, 1
Factor -2*u**4/13 - 90*u**3/13 + 918*u**2/13 - 2862*u/13 + 2916/13.
-2*(u - 3)**3*(u + 54)/13
Solve -k**2/2 - 576*k + 1153/2 = 0 for k.
-1153, 1
Determine a, given that 2*a**3 + 52*a**2 + 38*a - 300 = 0.
-25, -3, 2
Find o such that 5*o**2 + 5135*o + 5130 = 0.
-1026, -1
Factor -2*d**3/9 + 44*d**2/9 - 280*d/9 + 400/9.
-2*(d - 10)**2*(d - 2)/9
Solve 2*n**2 - 122*n + 1860 = 0.
30, 31
Determine x, given that -3*x**5 + 9*x**3 - 6*x**2 = 0.
-2, 0, 1
Suppose -v**2/5 - 2*v - 16/5 = 0. What is v?
-8, -2
Factor 3*c**2 - 2813*c + 1874.
(c - 937)*(3*c - 2)
Solve 5*s**5 - 145*s**4 + 1175*s**3 - 55*s**2 - 19360*s - 26620 = 0.
-2, 11
Let 4*y**2/3 - 24344*y/3 + 37039396/3 = 0. Calculate y.
3043
Find t, given that -t**2 - 208*t = 0.
-208, 0
Find u such that -3*u**5/4 - 3*u**4 + 81*u**3/4 + 81*u**2/2 - 162*u = 0.
-6, -4, 0, 3
Determine i, given that 4*i**5 + 20*i**4 - 2660*i**3 - 35060*i**2 - 62080*i - 29696 = 0.
-16, -1, 29
Factor x**2/2 - 1827*x/2 - 914.
(x - 1828)*(x + 1)/2
Factor 2*d**2/9 + 556*d/9.
2*d*(d + 278)/9
Factor -6*k**3 - 220*k**2 - 142*k + 72.
-2*(k + 1)*(k + 36)*(3*k - 1)
Factor -3*s**5 - 2535*s**4 - 803910*s**3 - 113528550*s**2 - 6059085495*s - 5946358323.
-3*(s + 1)*(s + 211)**4
Let -2*f**2 + 492*f - 4266 = 0. Calculate f.
9, 237
Factor h**4/9 + 260*h**3/3 + 151318*h**2/9 - 101660*h/3 + 152881/9.
(h - 1)**2*(h + 391)**2/9
Factor -55*t**2/3 - 4*t.
-t*(55*t + 12)/3
Factor 3*o**2 + 303*o + 300.
3*(o + 1)*(o + 100)
Factor -3*s**4/8 + 555*s**3/4 - 12972*s**2 + 25392*s.
-3*s*(s - 184)**2*(s - 2)/8
Factor -l**3 + 24*l**2 - 144*l.
-l*(l - 12)**2
Determine b so that 3*b**3/5 + 4*b**2/5 - 13*b/5 + 6/5 = 0.
-3, 2/3, 1
Factor 3*r**4 - 18*r**3 - 45*r**2 - 24*r.
3*r*(r - 8)*(r + 1)**2
Factor -w**5/2 + w**4/2 + w**3 - w**2 - w/2 + 1/2.
-(w - 1)**3*(w + 1)**2/2
Factor -z**3 - 120*z**2 - 237*z - 118.
-(z + 1)**2*(z + 118)
Factor 3*n**3 - 6*n**2 - 240*n.
3*n*(n - 10)*(n + 8)
Suppose 18*t**5/5 + 381*t**4/5 + 2187*t**3/5 + 1434*t**2/5 - 684*t - 120 = 0. Calculate t.
-10, -2, -1/6, 1
Let -4*o**4/5 - 292*o**3/5 + 904*o**2/5 - 608*o/5 = 0. What is o?
-76, 0, 1, 2
Factor i**4/2 - 11*i**3 + 37*i**2/2 + 30*i.
i*(i - 20)*(i - 3)*(i + 1)/2
Determine r so that -2*r**2/25 - 64*r/25 - 384/25 = 0.
-24, -8
Factor 2*s**4 - 34*s**3 + 180*s**2 - 288*s.
2*s*(s - 8)*(s - 6)*(s - 3)
Let 2*q**5/5 + 42*q**4/5 - 254*q**3/5 + 166*q**2/5 + 252*q/5 - 208/5 = 0. Calculate q.
-26, -1, 1, 4
Solve 4*g**4/7 - 8*g**3/7 - 16*g**2/7 + 8*g/7 + 12/7 = 0.
-1, 1, 3
Determine y so that 2*y**3/5 - 218*y**2 = 0.
0, 545
Factor 3*p**3 + 12*p**2 + 3*p - 18.
3*(p - 1)*(p + 2)*(p + 3)
What is q in -q**3/8 + 45*q**2/8 - 11*q/2 = 0?
0, 1, 44
Determine t, given that t**3/6 + 59*t**2 - t/6 - 59 = 0.
-354, -1, 1
Solve -a**5/9 + 103*a**4/9 - 322*a**3 + 12694*a**2/9 - 17101*a/9 + 2401/3 = 0 for a.
1, 3, 49
Factor -15*s**3 + 9*s**2 + 60*s - 36.
-3*(s - 2)*(s + 2)*(5*s - 3)
Determine p, given that 4*p**3 - 20*p**2 - 448*p + 2816 = 0.
-11, 8
Factor -3*q**2 + 108*q - 384.
-3*(q - 32)*(q - 4)
Factor -4*r**3/9 + 16*r**2/9 - 16*r/9.
-4*r*(r - 2)**2/9
Determine t so that 4*t**2/7 + 3952*t/7 + 976144/7 = 0.
-494
Let q**2/8 - 7*q = 0. Calculate q.
0, 56
Factor 4*f**3 - 44*f**2 + 160*f - 192.
4*(f - 4)**2*(f - 3)
Suppose 4*p**2 + 148*p - 480 = 0. Calculate p.
-40, 3
What is y in -2*y**2 + 420*y - 22050 = 0?
105
Factor -3*y**4 + 426*y**3 - 20631*y**2 + 391068*y - 2528172.
-3*(y - 54)**2*(y - 17)**2
Factor -l**2/4 - 8587*l/2 - 73736569/4.
-(l + 8587)**2/4
Factor 5*a**4 + 5*a**3 - 5*a**2 - 5*a.
5*a*(a - 1)*(a + 1)**2
Suppose -2*i**3/3 - 46*i**2/3 - 84*i = 0. What is i?
-14, -9, 0
Suppose 5*d**5 + 35*d**4 + 55*d**3 - 95*d**2 - 300*d - 180 = 0. Calculate d.
-3, -2, -1, 2
Determine y, given that 4*y**3 + 8*y**2 - 32*y = 0.
-4, 0, 2
Suppose -c**5/4 + c**4/2 + 9*c**3/4 - 11*c**2/2 - c + 6 = 0. Calculate c.
-3, -1, 2
Factor -9*n**3 + 11*n**2 + 16*n - 4.
-(n - 2)*(n + 1)*(9*n - 2)
Let 4*b**4 + 16*b**3 + 20*b**2 + 8*b = 0. What is b?
-2, -1, 0
Factor w**2/6 + 313*w/6 - 157/3.
(w - 1)*(w + 314)/6
Factor -3*a**3/8 - 69*a**2/4 - 1275*a/8 + 1875/2.
-3*(a - 4)*(a + 25)**2/8
Factor g**4 - 19*g**3 + 112*g**2 - 192*g.
g*(g - 8)**2*(g - 3)
Factor -4*g**4 - 832*g**3 - 56232*g**2 - 1129184*g + 7158220.
-4*(g - 5)*(g + 71)**3
Factor -x**2 - 8*x.
-x*(x + 8)
Suppose -3*s**4 - 300*s**3 - 7794*s**2 - 14700*s - 7203 = 0. Calculate s.
-49, -1
Find z, given that -8*z**5/7 - 74*z**4/7 - 30*z**3 - 208*z**2/7 - 40*z/7 = 0.
-5, -2, -1/4, 0
Solve f**3 + f**2 - f - 1 = 0 for f.
-1, 1
Suppose -216*x**4 + 2988*x**3 + 3732*x**2 + 736*x - 240 = 0. What is x?
-2/3, 1/6, 15
Find l, given that -5*l**2 - 120*l + 260 = 0.
-26, 2
Factor 2*d**3/13 - 66*d**2/13 - 2*d/13 + 66/13.
2*(d - 33)*(d - 1)*(d + 1)/13
Factor -3*p**5 - 66*p**4 - 420*p**3 - 600*p**2.
-3*p**2*(p + 2)*(p + 10)**2
Let -t**3/2 - 69*t**2 - 3174*t - 48668 = 0. Calculate t.
-46
Factor -2*v**3/5 + 26*v**2/5 - 96*v/5 + 72/5.
-2*(v - 6)**2*(v - 1)/5
Suppose 5*i**4/4 - 45385*i**3/4 + 68652375*i**2/2 - 34600789435*i - 34635126970 = 0. Calculate i.
-1, 302