e j, given that j**4/2 + 27*j**3/2 + 25*j**2/2 - 27*j/2 - 13 = 0.
-26, -1, 1
Factor -3*q**2/4 + 9*q/2 - 15/4.
-3*(q - 5)*(q - 1)/4
Factor 3*t**2/7 - 150*t/7 - 477/7.
3*(t - 53)*(t + 3)/7
Factor -50*z**2/11 + 109260*z/11 - 59688738/11.
-2*(5*z - 5463)**2/11
Let 5*g**2/4 + 395*g/4 = 0. What is g?
-79, 0
Determine s, given that -2*s**3/17 - 14*s**2/17 + 16*s/17 = 0.
-8, 0, 1
Determine t, given that 6*t**3/5 - 1174*t**2/5 + 57232*t/5 + 19208/5 = 0.
-1/3, 98
Solve -3*k**2 - 5187*k = 0.
-1729, 0
Find w, given that 1870*w**5 - 915*w**4 - 7490*w**3 + 3660*w**2 + 40*w = 0.
-2, -2/187, 0, 1/2, 2
Find p such that p**2/2 + 187*p + 34969/2 = 0.
-187
Suppose c**3/3 - 89*c**2/3 + 344*c/3 - 340/3 = 0. What is c?
2, 85
Factor v**4/9 - 10*v**3/9 - 4*v**2/3 + 266*v/9 - 245/9.
(v - 7)**2*(v - 1)*(v + 5)/9
What is y in 4*y**4 - 36*y**3 + 28*y**2 + 36*y - 32 = 0?
-1, 1, 8
Factor -n**4/4 + n**3 + 3*n**2/4 - 7*n/2 + 2.
-(n - 4)*(n - 1)**2*(n + 2)/4
Determine m, given that -3*m**5 - 3*m**4 + 18*m**3 + 12*m**2 - 24*m = 0.
-2, 0, 1, 2
Find g such that g**4/3 - 173*g**3/3 - 58*g**2 = 0.
-1, 0, 174
Find x, given that 4*x**5 - 72*x**3 + 128*x**2 - 60*x = 0.
-5, 0, 1, 3
Find h, given that -6*h**3/7 + 1236*h**2/7 - 4848*h/7 = 0.
0, 4, 202
Factor -3*p**2/4 - 315*p/4 - 78.
-3*(p + 1)*(p + 104)/4
Factor -4*s**4/7 - 32*s**3/7 + 296*s**2/7 + 1440*s/7 - 8100/7.
-4*(s - 5)**2*(s + 9)**2/7
Solve 2*p**4/13 + 14*p**3/13 + 34*p**2/13 + 34*p/13 + 12/13 = 0 for p.
-3, -2, -1
Factor w**2 - 19*w - 1802.
(w - 53)*(w + 34)
Suppose -5*t**3 - 170*t**2 = 0. Calculate t.
-34, 0
Factor -4*k**2 + 920*k - 916.
-4*(k - 229)*(k - 1)
Find b such that 2*b**2 - 2 = 0.
-1, 1
Factor m**4 + 28*m**3 - 30*m**2 - 28*m + 29.
(m - 1)**2*(m + 1)*(m + 29)
Determine v, given that -2*v**5/11 + 10*v**4/11 - 6*v**3/11 - 26*v**2/11 + 16*v/11 + 24/11 = 0.
-1, 2, 3
Suppose 2*n**5 + 270*n**4 + 8976*n**3 - 9248*n**2 = 0. What is n?
-68, 0, 1
Suppose -3*x**5/7 - 27*x**4/7 + 30*x**3/7 = 0. What is x?
-10, 0, 1
Suppose -r**3 - 28*r**2 - 221*r - 338 = 0. Calculate r.
-13, -2
Let -5*v**2/4 - 2635*v/4 + 660 = 0. Calculate v.
-528, 1
Find d such that -8*d**5/5 + 94*d**4/5 - 32*d**3/5 - 398*d**2/5 + 256*d/5 + 88/5 = 0.
-2, -1/4, 1, 2, 11
What is y in -3*y**4/7 - 12*y**3/7 + 48*y/7 + 48/7 = 0?
-2, 2
Factor 2*s**5 + 6*s**4 + 4*s**3.
2*s**3*(s + 1)*(s + 2)
Suppose -7*r**4/8 + 17*r**3 - 155*r**2/2 - 50*r = 0. Calculate r.
-4/7, 0, 10
Determine r, given that -r**3 + 87*r**2 - 254*r + 168 = 0.
1, 2, 84
Factor 5*k**2 - 45*k - 50.
5*(k - 10)*(k + 1)
Find z such that -13*z**2/3 + 206*z/3 + 32/3 = 0.
-2/13, 16
Factor -4*q**2 - 24*q + 748.
-4*(q - 11)*(q + 17)
Factor -2*x**5/3 + 308*x**4 - 52884*x**3 + 3942432*x**2 - 99300006*x - 749554884.
-2*(x - 117)**4*(x + 6)/3
Factor -4*h**4 + 88*h**3 + 624*h**2 + 1312*h + 896.
-4*(h - 28)*(h + 2)**3
Factor -h**3/2 + 117*h**2 + 471*h/2 + 118.
-(h - 236)*(h + 1)**2/2
Find w, given that w**5/7 - 33*w**4/7 - 123*w**3/7 + 557*w**2/7 - 618*w/7 + 216/7 = 0.
-6, 1, 36
Factor t**3/8 + t**2 + 3*t/2.
t*(t + 2)*(t + 6)/8
Factor 4*p**4 - 412*p**3 + 10812*p**2 - 10404*p.
4*p*(p - 51)**2*(p - 1)
Factor -5*b**4 - 25*b**3 + 30*b**2.
-5*b**2*(b - 1)*(b + 6)
Factor 2*m**2 - 110*m.
2*m*(m - 55)
Factor 4*c**2 + 312*c + 6084.
4*(c + 39)**2
Factor 147*i**4 - 1092*i**3 + 1104*i**2 + 912*i + 144.
3*(i - 6)*(i - 2)*(7*i + 2)**2
Factor -2*x**2/17 + 2888*x/17 - 2886/17.
-2*(x - 1443)*(x - 1)/17
Factor -5*t**4 - 15*t**3 + 120*t**2 - 140*t.
-5*t*(t - 2)**2*(t + 7)
Find n, given that n**2 - 10*n - 144 = 0.
-8, 18
What is w in -2*w**3/21 - 10*w**2/7 + 2*w/21 + 10/7 = 0?
-15, -1, 1
Solve n**4/4 - 3*n**3/2 - 2*n**2 + 3*n/2 + 7/4 = 0 for n.
-1, 1, 7
Factor 3*m**4 + 6*m**3 - 12*m**2 - 24*m.
3*m*(m - 2)*(m + 2)**2
Let 50*l**4 + 16090*l**3 - 186952*l**2 - 157272*l - 31968 = 0. Calculate l.
-333, -2/5, 12
Suppose -3*p**3 - 243*p**2 - 4797*p + 5043 = 0. Calculate p.
-41, 1
Suppose 2*c**4 - 154*c**3/3 + 958*c**2/3 + 442*c/3 - 676/3 = 0. Calculate c.
-1, 2/3, 13
Factor -4*t**3 + 680*t**2 + 2784*t.
-4*t*(t - 174)*(t + 4)
Find b such that 3*b**4 - 54*b**3 + 99*b**2 - 48*b = 0.
0, 1, 16
What is r in 8*r**5 + 60*r**4 + 100*r**3 - 20*r**2 - 108*r - 40 = 0?
-5, -2, -1, -1/2, 1
Factor -15*l**2 + 921*l - 366.
-3*(l - 61)*(5*l - 2)
Factor -i**3/2 + 168*i**2 - 666*i + 664.
-(i - 332)*(i - 2)**2/2
Factor -3*c**4/2 + 10*c**3 - 41*c**2/2 + 12*c.
-c*(c - 3)*(c - 1)*(3*c - 8)/2
Solve 30*o**4 - 57*o**3 - 105*o**2 + 9*o + 27 = 0 for o.
-1, -3/5, 1/2, 3
Suppose g**3 + 1155*g**2 - 6957*g + 10449 = 0. Calculate g.
-1161, 3
Factor -4*z**4/7 + 226*z**3/7 - 440*z**2/7 + 218*z/7.
-2*z*(z - 1)**2*(2*z - 109)/7
Factor -26*b**2/7 + 116*b - 2832/7.
-2*(b - 4)*(13*b - 354)/7
Determine z so that -2*z**2 + 168*z - 936 = 0.
6, 78
Factor f**5/6 - 2*f**3/3 + f**2/3 + f/2 - 1/3.
(f - 1)**3*(f + 1)*(f + 2)/6
Find s such that -3*s**4 + 84*s**3 - 78*s**2 - 84*s + 81 = 0.
-1, 1, 27
Factor 5*v**3 - 1950*v**2 - 3915*v - 1960.
5*(v - 392)*(v + 1)**2
Let 3*s**5 + 15*s**4 - 27*s**3 - 159*s**2 + 24*s + 144 = 0. What is s?
-4, -1, 1, 3
Suppose 4*s**5 - 32*s**4 - 80*s**3 - 8*s**2 + 76*s + 40 = 0. Calculate s.
-1, 1, 10
Find y, given that 2*y**5 + 36*y**4 + 76*y**3 - 752*y**2 + 1122*y - 484 = 0.
-11, 1, 2
Factor -2*p**3/5 + 24*p**2/5 - 82*p/5 + 12.
-2*(p - 6)*(p - 5)*(p - 1)/5
Factor 3*b**3/5 + 2574*b**2/5 + 736164*b/5 + 70180968/5.
3*(b + 286)**3/5
Factor v**3 + 7*v**2 - 17*v + 9.
(v - 1)**2*(v + 9)
What is d in 4*d**2/3 - 8*d + 32/3 = 0?
2, 4
Suppose -2*f**3/5 - 24*f**2 - 454*f/5 - 336/5 = 0. Calculate f.
-56, -3, -1
Solve -s**3/9 - s**2/9 + 5*s/9 - 1/3 = 0 for s.
-3, 1
Suppose 2*l**5 - 171*l**4 + 1348*l**3 - 3019*l**2 + 1212*l + 1540 = 0. Calculate l.
-1/2, 2, 5, 77
Factor -2*p**2/7 - 44*p/7 - 32.
-2*(p + 8)*(p + 14)/7
Factor m**2/4 - 69*m/4 + 585/2.
(m - 39)*(m - 30)/4
Find j such that -3*j**5 + 180*j**4 - 2514*j**3 - 5580*j**2 - 2883*j = 0.
-1, 0, 31
Factor o**2/4 + 13*o/4 + 3.
(o + 1)*(o + 12)/4
Find f such that -5*f**4 - 35*f**3 + 50*f**2 + 80*f = 0.
-8, -1, 0, 2
Solve -4*i**3 - 96*i**2 = 0.
-24, 0
Let -38*j**2/13 + 118*j/13 - 12/13 = 0. Calculate j.
2/19, 3
Solve -4*c**4/3 + 20*c**3 - 76*c**2/3 - 116*c - 208/3 = 0 for c.
-1, 4, 13
Factor -i**2 + 40*i + 1904.
-(i - 68)*(i + 28)
Factor a**3 + 412*a**2 + 821*a + 410.
(a + 1)**2*(a + 410)
Factor -5*r**4 - 210*r**3 - 1620*r**2 - 4590*r - 4455.
-5*(r + 3)**3*(r + 33)
What is g in -g**4/5 + 554*g**3/5 + 2227*g**2/5 + 2788*g/5 + 1116/5 = 0?
-2, -1, 558
Factor 5*s**5 + 22*s**4 + 33*s**3 + 20*s**2 + 4*s.
s*(s + 1)**2*(s + 2)*(5*s + 2)
Let -2*u**4 - 110*u**3 - 214*u**2 - 106*u = 0. What is u?
-53, -1, 0
What is p in -462*p**2/13 - 1018*p/13 - 60/13 = 0?
-15/7, -2/33
Factor z**5/6 - z**4 - z**3 + 22*z**2/3 - 17*z/2 + 3.
(z - 6)*(z - 1)**3*(z + 3)/6
Factor 3*y**5 - 2100*y**4 + 492780*y**3 - 39407520*y**2 + 151783680*y - 149846016.
3*(y - 232)**3*(y - 2)**2
Factor b**2/8 + 15*b/8 + 25/4.
(b + 5)*(b + 10)/8
Factor g**2/5 + 44*g/5 + 95.
(g + 19)*(g + 25)/5
Factor 8*g**2/3 - 20*g/3 + 8/3.
4*(g - 2)*(2*g - 1)/3
Find a such that 2*a**3/5 - 14*a/5 + 12/5 = 0.
-3, 1, 2
Factor -3*q**3/5 + 21*q**2/5 + 12*q/5 - 84/5.
-3*(q - 7)*(q - 2)*(q + 2)/5
Factor 60*y**3 - 1765*y**2 + 12450*y + 7875.
5*(y - 15)**2*(12*y + 7)
Factor 2*k**2 + 40*k - 138.
2*(k - 3)*(k + 23)
Suppose 2*i**5 - 130*i**4 + 2294*i**3 - 5766*i**2 = 0. What is i?
0, 3, 31
Solve 16*g**2 - 156*g - 40 = 0.
-1/4, 10
Suppose -2*u**4 + 18*u**3 - 26*u**2 - 90*u + 100 = 0. Calculate u.
-2, 1, 5
Factor -3*s**2/2 - 12*s - 18.
-3*(s + 2)*(s + 6)/2
Suppose -g**2 - 9962*g - 24810361 = 0. Calculate g.
-4981
What is m in -m**4 - 43*m**3 - 41*m**2 + 43*m + 42 = 0?
-42, -1, 1
Find f such that 33*f**2 - 162*f + 120 = 0.
10/11, 4
Factor -n**2/2 - 19*n/2 + 10.
-(n - 1)*(n + 20)/2
Determine j, given that j**2/5 - 5328*j/5 + 7096896/5 = 0.
2664
Factor 5*b**2 + 1020*b - 4160.
5*(b - 4)*(b + 208)
Factor -i**3/5 - 119*i**2/5 + 536*i - 2780.
-(i - 10)**2*(i + 139)/5
Factor j**4/6 + 29*j**3/6 + 83*j**2/2 + 559*j/6 + 169/3.
(j + 1)*(j + 2)*(j + 13)**2/6
Factor -2*t**3/19 + 192*t**2/19 - 378*t/19 + 188/19.
-2*(t - 94)*(t - 1)**2/19
Factor g**5 - 14*g**4 + 33*g**3 + 112*g**2 + 64*g.
g*(g - 8)**2*(g + 1)**2
Suppose v**4/2 + 22*v**3 + 251*v**2/2 - 2938*v - 3042 = 0. Calculate v.
-26, -1, 9
What is a in 2*a**3/9 - 154*a