 m in 5*m**4 + 80*m**3 + 265*m**2 + 310*m + 120 = 0?
-12, -2, -1
Determine o, given that 5*o**4 + 18955*o**3 + 23946480*o**2 + 10073473280*o - 10097438720 = 0.
-1264, 1
Suppose o**2/4 - 5*o/4 - 3/2 = 0. Calculate o.
-1, 6
Factor -27*l**4 + 13572*l**3 - 1710066*l**2 + 1135524*l - 189003.
-3*(l - 251)**2*(3*l - 1)**2
Factor j**5/2 - 9*j**3 + 16*j**2 - 15*j/2.
j*(j - 3)*(j - 1)**2*(j + 5)/2
Find n such that -3*n**3 + 663*n**2 + 5448*n + 10992 = 0.
-4, 229
Suppose 8*d**4/11 - 730*d**3/11 + 16374*d**2/11 + 12880*d/11 - 4232/11 = 0. What is d?
-1, 1/4, 46
Solve 5*f**2 - 2615*f + 2610 = 0.
1, 522
Let -f**2/3 + 358*f/3 - 32041/3 = 0. What is f?
179
Solve 5*z**3 - 2730*z**2 + 496860*z - 30142840 = 0.
182
Find g such that -4*g**2 - 292*g + 912 = 0.
-76, 3
Determine b so that 4*b**2 - 196*b + 2112 = 0.
16, 33
Factor v**3/9 - 28*v**2/3 + 83*v/9.
v*(v - 83)*(v - 1)/9
Factor 3*a**3 - 45*a**2 + 189*a - 147.
3*(a - 7)**2*(a - 1)
Solve -r**3/4 - 13*r**2/2 - 25*r/4 = 0 for r.
-25, -1, 0
Determine q, given that -q**4/4 + 65*q**3/4 - 1149*q**2/4 + 3007*q/4 - 961/2 = 0.
1, 2, 31
Solve 4*g**3 - 24*g**2 - 160*g = 0 for g.
-4, 0, 10
Determine w so that 2*w**3 + 26*w**2 + 112*w + 160 = 0.
-5, -4
Determine h, given that 2*h**2/9 - 28*h/9 + 80/9 = 0.
4, 10
Factor -2*n**2 + 8036*n - 8072162.
-2*(n - 2009)**2
Suppose u**3/6 + 588*u**2 + 1038407*u/2 + 3108169/3 = 0. Calculate u.
-1763, -2
Let 2*m**5/13 - 90*m**4/13 = 0. What is m?
0, 45
Factor -h**2/3 + 22*h/3 - 39.
-(h - 13)*(h - 9)/3
Suppose p**4 + 7*p**3 + 12*p**2 - 4*p - 16 = 0. Calculate p.
-4, -2, 1
Determine o, given that -5*o**5 - 120*o**4 - 925*o**3 - 2510*o**2 - 2700*o - 1000 = 0.
-10, -2, -1
Suppose 2*a**2/7 - 1006*a/7 - 144 = 0. What is a?
-1, 504
Solve 60*u**5 - 1504*u**4 + 10192*u**3 - 9600*u**2 + 2304*u = 0.
0, 2/5, 2/3, 12
Let w**3 + 19*w**2 + 26*w - 136 = 0. Calculate w.
-17, -4, 2
Factor -3*x**2 - 12*x + 15.
-3*(x - 1)*(x + 5)
Let -15*v**2/8 + 1893*v/4 - 189 = 0. What is v?
2/5, 252
Factor -4*x**2/7 + 8*x/7 + 32/7.
-4*(x - 4)*(x + 2)/7
Let w**3/9 + 13*w**2/9 - 10*w/3 = 0. Calculate w.
-15, 0, 2
Let -b**4/7 - 11*b**3 - 225*b**2/7 - 223*b/7 - 74/7 = 0. What is b?
-74, -1
Let -2*v**2/7 - 2*v/7 + 4/7 = 0. Calculate v.
-2, 1
Determine t, given that 2*t**5 - 14*t**4 + 34*t**3 - 34*t**2 + 12*t = 0.
0, 1, 2, 3
Factor -2*k**5 - 20*k**4.
-2*k**4*(k + 10)
Find x such that 5*x**4 - 670*x**3 + 21265*x**2 - 206600*x + 186000 = 0.
1, 20, 93
Factor -r**4/9 + 2*r**3/3 - 32*r/9.
-r*(r - 4)**2*(r + 2)/9
Factor -y**3/3 + 5*y**2/3 - 2*y/3 - 8/3.
-(y - 4)*(y - 2)*(y + 1)/3
Solve v**3/8 - 101*v**2/8 + 83*v - 141/2 = 0 for v.
1, 6, 94
Factor -5*s**5 - 5*s**4 + 25*s**3 - 15*s**2.
-5*s**2*(s - 1)**2*(s + 3)
Solve -8*j**3 - 116*j**2 + 592*j = 0 for j.
-37/2, 0, 4
Factor 2*f**3/17 - 206*f**2/17 - 212*f/17 + 416/17.
2*(f - 104)*(f - 1)*(f + 2)/17
What is r in r**3/8 - r**2/8 - r/2 + 1/2 = 0?
-2, 1, 2
Factor 3*l**3/2 - 483*l**2 + 39360*l - 76800.
3*(l - 160)**2*(l - 2)/2
Determine i, given that 3*i**2 + 336*i + 9408 = 0.
-56
Suppose -26*o**3/3 - 98*o**2/3 - 24*o = 0. Calculate o.
-36/13, -1, 0
Factor k**2/5 + 706*k/5 + 141.
(k + 1)*(k + 705)/5
Factor 3*t**2/7 - 3618*t/7 - 7248/7.
3*(t - 1208)*(t + 2)/7
Factor -3*u**4 - 15*u**3 - 18*u**2 + 12*u + 24.
-3*(u - 1)*(u + 2)**3
Find l, given that 4*l**5 - 8*l**4 - 12*l**3 + 16*l**2 + 16*l = 0.
-1, 0, 2
Suppose 3*a**4 + 72*a**3 + 594*a**2 + 1944*a + 2187 = 0. Calculate a.
-9, -3
Determine p so that -2*p**3/15 - 44*p**2/15 - 16*p/3 = 0.
-20, -2, 0
Factor -432*y**4 + 36*y**3 + 3597*y**2/4 - 75*y/2 - 1875/4.
-3*(y + 1)**2*(24*y - 25)**2/4
Let -2*a**5 - 8*a**4 + 6*a**3 + 20*a**2 - 16*a = 0. Calculate a.
-4, -2, 0, 1
Find j such that -5*j**4 + 100*j**3 - 495*j**2 - 100*j + 500 = 0.
-1, 1, 10
Suppose -t**5/4 - 55*t**4/4 - 781*t**3/4 - 621*t**2/4 + 729*t/2 = 0. Calculate t.
-27, -2, 0, 1
Factor 2*h**2/5 - 62*h/5 + 456/5.
2*(h - 19)*(h - 12)/5
Let 2*n**3 + 10*n**2 + 8*n = 0. What is n?
-4, -1, 0
Factor -16*w**2 + 284*w + 72.
-4*(w - 18)*(4*w + 1)
Factor 3*m**2 + 9*m.
3*m*(m + 3)
Factor -f**4 - 13*f**3 - 57*f**2 - 95*f - 50.
-(f + 1)*(f + 2)*(f + 5)**2
Determine d, given that 27*d**2 + 579*d - 966 = 0.
-23, 14/9
Factor 2*s**5 - 4*s**4.
2*s**4*(s - 2)
Let -4*q**2/5 + 556*q/5 - 1632/5 = 0. Calculate q.
3, 136
Find b, given that 2*b**5/7 - 6*b**4/7 - 18*b**3/7 + 46*b**2/7 - 24*b/7 = 0.
-3, 0, 1, 4
Suppose k**5 - 8*k**4/3 - 8*k**3/3 + 14*k**2/3 + 5*k/3 - 2 = 0. Calculate k.
-1, 2/3, 1, 3
Determine k so that -2*k**5 - 1300*k**4/9 + 740*k**3 + 2840*k**2/9 - 738*k - 1540/9 = 0.
-77, -1, -2/9, 1, 5
Factor 6*b**4/5 - 8*b**3/5 - 2*b**2/5 + 4*b/5.
2*b*(b - 1)**2*(3*b + 2)/5
Suppose 3*r**4/5 - 114*r**3/5 + 183*r**2/5 + 3420*r + 13500 = 0. What is r?
-6, 25
What is x in -2*x**4/19 + 12*x**3/19 - 24*x**2/19 + 16*x/19 = 0?
0, 2
Factor -3*l**3 - 36*l**2 + 432*l - 960.
-3*(l - 4)**2*(l + 20)
Find t, given that 20*t**3 - 4*t**2 - 80*t + 16 = 0.
-2, 1/5, 2
Factor -6*d**5/19 + 88*d**4/19 - 56*d**3/19.
-2*d**3*(d - 14)*(3*d - 2)/19
Factor -5*p**4 + 30*p**2 - 40*p + 15.
-5*(p - 1)**3*(p + 3)
Factor 3*o**3 - 15*o**2 - 18*o.
3*o*(o - 6)*(o + 1)
Factor 5*p**2/2 + 10*p.
5*p*(p + 4)/2
Solve k**2 + 11352*k + 32216976 = 0.
-5676
Factor -3*s**3/8 + 45*s**2/2 - 2511*s/8 - 2883/4.
-3*(s - 31)**2*(s + 2)/8
Let -2*c**5/7 - 36*c**4/7 + 88*c**3/7 + 156*c**2/7 - 86*c/7 - 120/7 = 0. What is c?
-20, -1, 1, 3
Factor -5*k**4 - 22575*k**3 - 25492815*k**2 - 25470245*k.
-5*k*(k + 1)*(k + 2257)**2
Suppose -3*n**3 - 36*n**2 - 33*n = 0. Calculate n.
-11, -1, 0
Factor 2*l**4/15 + 8*l**3/15.
2*l**3*(l + 4)/15
Find p, given that -2*p**5/19 - 8*p**4/19 + 78*p**3/19 - 108*p**2/19 = 0.
-9, 0, 2, 3
Find i, given that -1260*i**4 - 815*i**3 - 165*i**2 - 10*i = 0.
-2/7, -1/4, -1/9, 0
Factor 7*u**2/3 - 30*u - 13/3.
(u - 13)*(7*u + 1)/3
Factor 3*k**2 - 3*k - 60.
3*(k - 5)*(k + 4)
Factor 3*u**2 - 69*u.
3*u*(u - 23)
Factor -m**2 + 116*m + 605.
-(m - 121)*(m + 5)
Factor 2*z**2/11 + 12*z - 2054/11.
2*(z - 13)*(z + 79)/11
Factor 2*q**3/19 + 60*q**2/19 + 256*q/19 - 768/19.
2*(q - 2)*(q + 8)*(q + 24)/19
Let -2*v**4 + 72*v**3 + 376*v**2 - 2304*v + 2560 = 0. What is v?
-8, 2, 40
Let p**4/6 - 8*p**3 + 96*p**2 - 1024*p/3 = 0. What is p?
0, 8, 32
Find z, given that -2*z**4 + 14*z**2 - 12*z = 0.
-3, 0, 1, 2
Factor 4*t**2/9 - 4*t/3 + 8/9.
4*(t - 2)*(t - 1)/9
Solve 4*b**2 + 18384*b + 21123216 = 0 for b.
-2298
Factor -4*k**2/3 + 304*k/3 + 308/3.
-4*(k - 77)*(k + 1)/3
Find a such that -3*a**4/4 + 15*a**3 - 57*a**2/4 = 0.
0, 1, 19
Factor -s**2/6 + 336*s - 169344.
-(s - 1008)**2/6
Factor -3*l**5 - 174*l**4 - 2343*l**3 + 5220*l**2 - 2700*l.
-3*l*(l - 1)**2*(l + 30)**2
Determine u so that -4*u**2/5 + 6984*u/5 - 1396 = 0.
1, 1745
Let 2*n**2/13 + 2336*n/13 + 682112/13 = 0. What is n?
-584
Factor -2*k**3 + 38*k**2 - 78*k - 630.
-2*(k - 15)*(k - 7)*(k + 3)
Solve 2*o**2 + 78*o - 864 = 0.
-48, 9
Let -g**2/5 + 776*g/5 + 2337/5 = 0. What is g?
-3, 779
Find l, given that -2*l**4/11 - 42*l**3/11 - 202*l**2/11 - 342*l/11 - 180/11 = 0.
-15, -3, -2, -1
Suppose -v**4 - 34*v**3 + 71*v**2 - 36*v = 0. Calculate v.
-36, 0, 1
Factor x**2/4 + 21*x - 43.
(x - 2)*(x + 86)/4
Solve -2*l**5/7 - 24*l**4/7 - 38*l**3/7 + 24*l**2/7 + 40*l/7 = 0 for l.
-10, -2, -1, 0, 1
Solve -h**5/5 + 18*h**4/5 - 64*h**3/5 - 18*h**2/5 + 13*h = 0 for h.
-1, 0, 1, 5, 13
Determine z, given that 4*z**2 + 2084*z + 4152 = 0.
-519, -2
Find f, given that -5*f**4 + 490*f**3 - 10985*f**2 - 49980*f - 52020 = 0.
-2, 51
Factor -x**3/2 + 15*x**2 + 33*x/2 - 31.
-(x - 31)*(x - 1)*(x + 2)/2
Factor 5*n**3 + 500*n**2 + 12500*n.
5*n*(n + 50)**2
Find z, given that -z**5/4 + 2*z**4 + 59*z**3/4 - 209*z**2/2 - 136*z + 224 = 0.
-7, -2, 1, 8
Factor 2*c**3/9 - 8*c**2 + 472*c/9 - 224/3.
2*(c - 28)*(c - 6)*(c - 2)/9
Suppose -5*y**2 - 190*y = 0. What is y?
-38, 0
Factor 1724*q**2/7 - 874*q/7 + 6/7.
2*(2*q - 1)*(431*q - 3)/7
Factor -3*d**2 - 3054*d - 777243.
-3*(d + 509)**2
Factor 5*m**2 - 2130*m + 2125.
5*(m - 425)*(m - 1)
Determine z, given that 2*z**2 + 212*z + 5618 = 0.
-53
What is z in z**2 + 203*z - 204 = 0?
-204, 1
Solve -z**4 + 7*z**3 - 5*z**2 - 7*z + 6 = 0 for z.
-1, 1, 6
Suppose -4*s**2/9 + 332*s - 2984/9 = 0. Calculate s.
1, 746
What is a in -a**2 + 51*a - 50 = 0?
1, 50
Factor 4*y**2/3 - 16/3.
4*(y - 2)*(y + 2)/3
Find u such that 7*u**3/3 