380*q**2 - 108864*q + 186624 = 0 for q.
8, 9
Factor h**3/2 + 11*h**2/2 - 21*h.
h*(h - 3)*(h + 14)/2
Find r, given that 2*r**2/9 + 364*r/9 + 362/9 = 0.
-181, -1
Factor -r**3/3 + 68*r**2/3 - 1156*r/3.
-r*(r - 34)**2/3
Factor -j**2/4 + 2385*j/2 - 5688225/4.
-(j - 2385)**2/4
Find f such that 3*f**3/2 - 3*f**2/2 - 15*f/2 - 9/2 = 0.
-1, 3
Let 2*c**4/3 + 2*c**3 - 16*c**2 - 56*c/3 + 32 = 0. Calculate c.
-6, -2, 1, 4
Factor -24*y**4/7 - 1434*y**3/7 - 28440*y**2/7 - 26400*y + 48000/7.
-6*(y + 20)**3*(4*y - 1)/7
Factor -4*y**3 - 4*y**2 + 16*y + 16.
-4*(y - 2)*(y + 1)*(y + 2)
Factor 3*n**5 - 2*n**4 - 4*n**3 + 2*n**2 + n.
n*(n - 1)**2*(n + 1)*(3*n + 1)
Factor 2*t**2/7 + 214*t/7 + 2444/7.
2*(t + 13)*(t + 94)/7
Solve -s**2/10 - 75*s/2 + 1532/5 = 0 for s.
-383, 8
Determine r, given that -r**4/3 + 6*r**2 - 27 = 0.
-3, 3
Let 3*w**3/7 - 81*w**2/7 + 330*w/7 + 144 = 0. Calculate w.
-2, 8, 21
Determine l, given that -2*l**3/5 - 96*l**2/5 + 198*l/5 - 20 = 0.
-50, 1
Suppose 140*o**5 - 402*o**4 + 1956*o**3/7 - 520*o**2/7 + 48*o/7 = 0. What is o?
0, 2/7, 3/10, 2
Let -h**4/7 + 3*h**3 - 19*h**2/7 - 3*h + 20/7 = 0. What is h?
-1, 1, 20
Let -12*s**5 + 261*s**4 - 114*s**3 - 1557*s**2 - 378*s = 0. What is s?
-2, -1/4, 0, 3, 21
Solve -2*x**4/3 + 328*x**3 - 120044*x**2/3 - 81016*x - 122018/3 = 0.
-1, 247
What is k in 2*k**5 + 18*k**4 + 46*k**3 + 22*k**2 - 48*k - 40 = 0?
-5, -2, -1, 1
Factor -3*t**2 - 183*t - 522.
-3*(t + 3)*(t + 58)
Suppose 2*s**2/17 - 6*s/17 + 4/17 = 0. What is s?
1, 2
Factor 4*z**4 + 76*z**3 + 256*z**2 - 336*z.
4*z*(z - 1)*(z + 6)*(z + 14)
Solve 50*h**3/9 + 1240*h**2/9 + 968*h/9 + 64/3 = 0.
-24, -2/5
Factor -x**4/3 - 2*x**3 - 3*x**2.
-x**2*(x + 3)**2/3
Find r, given that -5*r**5 + 5*r**4 + 45*r**3 - 65*r**2 - 40*r + 60 = 0.
-3, -1, 1, 2
Factor -2*l**5/11 - 10*l**4/11 - 6*l**3/11 + 18*l**2/11.
-2*l**2*(l - 1)*(l + 3)**2/11
Factor -2*a**4/15 + 2*a**3/15 + 2*a**2/3 + 2*a/5.
-2*a*(a - 3)*(a + 1)**2/15
Factor y**5 - 19*y**4/7 + 15*y**3/7 - y**2/7 - 2*y/7.
y*(y - 1)**3*(7*y + 2)/7
Factor -x**3/4 + 255*x**2/4 - 16383*x/4 + 16129/4.
-(x - 127)**2*(x - 1)/4
Find x, given that x**2/7 - 16*x/7 + 64/7 = 0.
8
Determine t, given that t**2 - 9 = 0.
-3, 3
Factor -x**5/3 + 2*x**4 + 5*x**3 + 8*x**2/3.
-x**2*(x - 8)*(x + 1)**2/3
Factor r**4/3 + 22*r**3 + 428*r**2/3 + 298*r + 177.
(r + 1)*(r + 3)**2*(r + 59)/3
Let -2*l**2 - 601*l/7 + 43/7 = 0. Calculate l.
-43, 1/14
Determine n, given that -3*n**5/2 + 183*n**4/2 + 645*n**3/2 - 4515*n**2/2 + 3189*n - 1344 = 0.
-7, 1, 2, 64
Determine j so that -5*j**2 + 5380*j - 1447220 = 0.
538
Determine o, given that -o**5 - 4*o**4 + 6*o**3 + 36*o**2 + 27*o = 0.
-3, -1, 0, 3
Factor -5*n**3 - 20565*n**2 - 21156240*n - 21135680.
-5*(n + 1)*(n + 2056)**2
Suppose -48*s**4 - 168*s**3 + 117*s**2 + 87*s + 12 = 0. Calculate s.
-4, -1/4, 1
Suppose f**2 + 22*f + 121 = 0. Calculate f.
-11
What is h in -2*h**4/5 - 4*h**3/5 + 2*h**2 + 12*h/5 = 0?
-3, -1, 0, 2
Suppose 2*j**2/7 + 20*j/7 + 48/7 = 0. Calculate j.
-6, -4
Factor -1770125*m**5/6 + 1091825*m**4/3 - 460780*m**3/3 + 71224*m**2/3 - 2024*m/3 + 16/3.
-(5*m - 2)**3*(119*m - 2)**2/6
Factor 2*l**4/3 - 6*l**3 + 16*l**2/3.
2*l**2*(l - 8)*(l - 1)/3
Solve -10*x**2/11 - 1272*x/11 - 254/11 = 0 for x.
-127, -1/5
Factor -2*y**2/7 - 208*y/7.
-2*y*(y + 104)/7
Factor 2*a**4 + 28*a**3 + 78*a**2 - 108*a.
2*a*(a - 1)*(a + 6)*(a + 9)
Suppose 4*j**3/7 + 9600*j**2/7 + 5760000*j/7 = 0. What is j?
-1200, 0
Determine j, given that -5*j**5 - 5*j**4 + 280*j**3 = 0.
-8, 0, 7
Find g, given that g**3/2 + 7*g**2/2 - 22*g = 0.
-11, 0, 4
Solve -125*d**5 - 375*d**4 - 155*d**3 + 315*d**2 + 280*d + 60 = 0.
-2, -1, -3/5, -2/5, 1
Let 20*s**5 - 48*s**4 - 4*s**3 + 48*s**2 - 16*s = 0. Calculate s.
-1, 0, 2/5, 1, 2
Solve -i**4/4 - 9*i**3/2 - 31*i**2/4 + 9*i/2 + 8 = 0 for i.
-16, -2, -1, 1
What is u in u**4/4 + 25*u**3/2 - 3*u**2/4 - 37*u + 25 = 0?
-50, -2, 1
Suppose 4*z**5/7 + 36*z**4/7 + 116*z**3/7 + 172*z**2/7 + 120*z/7 + 32/7 = 0. What is z?
-4, -2, -1
Suppose -2*w**2/9 + 130*w/9 + 44/3 = 0. What is w?
-1, 66
Suppose n**5/3 + 4*n**4/3 + 2*n**3/3 - 4*n**2/3 - n = 0. What is n?
-3, -1, 0, 1
Find b such that 8*b**4/11 - 714*b**3/11 - 558*b**2/11 + 1624*b/11 - 360/11 = 0.
-2, 1/4, 1, 90
Suppose t**3 - 4*t**2 + 4*t = 0. What is t?
0, 2
Factor q**2 + 4*q - 357.
(q - 17)*(q + 21)
Factor 13*f**4/4 + 29*f**3/2 + 6*f**2.
f**2*(f + 4)*(13*f + 6)/4
Solve 2*h**5/13 - 16*h**4/13 + 44*h**3/13 - 56*h**2/13 + 34*h/13 - 8/13 = 0.
1, 4
Find x, given that 5*x**2 + 105*x - 360 = 0.
-24, 3
Factor -15*t**3/7 - 3*t**2/7 + 99*t/7 - 81/7.
-3*(t - 1)*(t + 3)*(5*t - 9)/7
Factor -6*r**2/11 - 4486*r/11 + 136.
-2*(r + 748)*(3*r - 1)/11
Suppose -v**3 + 176*v**2 + 4*v - 704 = 0. What is v?
-2, 2, 176
Factor 2*z**2/3 + 16*z - 50/3.
2*(z - 1)*(z + 25)/3
Find i such that -2*i**5 + 143*i**4/2 - 698*i**3 + 1045*i**2 - 272*i - 289/2 = 0.
-1/4, 1, 17
Factor 2*y**2/3 + 700*y/3 - 3550/3.
2*(y - 5)*(y + 355)/3
Determine i so that 33*i**5/5 - 27*i**4 + 177*i**3/5 - 81*i**2/5 + 6*i/5 = 0.
0, 1/11, 1, 2
Let -2*c**4/11 - 32*c**3/11 - 48*c**2/11 + 640*c/11 - 800/11 = 0. What is c?
-10, 2
Factor -j**4/4 + j**3/4 + j**2/2.
-j**2*(j - 2)*(j + 1)/4
Determine h so that 11*h**3 - 46*h**2 - 124*h + 24 = 0.
-2, 2/11, 6
Find g such that 18*g**4 - 282*g**3 + 182*g**2 - 30*g = 0.
0, 1/3, 15
Suppose 98*v**5/5 - 56*v**4/5 + 8*v**3/5 = 0. Calculate v.
0, 2/7
Solve -7*j**3/4 - 3*j**2/4 + 7*j/4 + 3/4 = 0 for j.
-1, -3/7, 1
Factor v**3/7 - 22*v**2 - 311*v/7 - 156/7.
(v - 156)*(v + 1)**2/7
Factor 6*a**3/11 + 186*a**2/11.
6*a**2*(a + 31)/11
Factor u**4/5 - 28*u**3/5 + 36*u**2/5 + 2592*u/5.
u*(u - 18)**2*(u + 8)/5
Factor -5*s**2/4 - 3135*s/2 - 1965645/4.
-5*(s + 627)**2/4
Factor -4*t**2/5 + 948*t/5 + 1912/5.
-4*(t - 239)*(t + 2)/5
Solve j**5/2 - 10*j**4 - 47*j**3/2 + 33*j**2 = 0.
-3, 0, 1, 22
Determine j, given that -4*j**3 - 4*j**2 + 4*j + 4 = 0.
-1, 1
Determine u, given that 2*u**4/3 - 4*u**3 + 22*u**2/3 - 4*u = 0.
0, 1, 2, 3
Find d such that -2*d**3/13 - 18*d**2/13 + 9072*d/13 - 209952/13 = 0.
-81, 36
Factor j**2 - 120*j + 119.
(j - 119)*(j - 1)
Find u, given that -2*u**4 + 26*u**3 - 122*u**2 + 246*u - 180 = 0.
2, 3, 5
Solve 225*f**4 - 30*f**3 - 224*f**2 + 30*f - 1 = 0.
-1, 1/15, 1
Factor 25*a**4 + 390*a**3 + 2025*a**2 + 3780*a + 1620.
5*(a + 3)*(a + 6)**2*(5*a + 3)
Factor 2*a**3 + 6*a**2 - 8*a - 24.
2*(a - 2)*(a + 2)*(a + 3)
Factor x**3 - 57*x**2 - 180*x.
x*(x - 60)*(x + 3)
Let 15*w**4/4 + 57*w**3/2 + 147*w**2/4 + 3*w - 9 = 0. Calculate w.
-6, -1, 2/5
Factor -5*f**5 + 515*f**4 + 2110*f**3 + 3190*f**2 + 2135*f + 535.
-5*(f - 107)*(f + 1)**4
Factor 2*v**5/13 + 434*v**4/13 + 31958*v**3/13 + 838510*v**2/13 + 2984272*v/13 + 2863288/13.
2*(v + 2)**2*(v + 71)**3/13
Determine p so that 2*p**5/5 + 184*p**4/5 + 628*p**3 - 54264*p**2/5 - 57222*p/5 = 0.
-51, -1, 0, 11
Solve 4*s**5 + 24*s**4 - 148*s**3 + 136*s**2 + 144*s - 160 = 0 for s.
-10, -1, 1, 2
Find u such that -5*u**4 + 75*u**3 - 180*u**2 - 1280*u + 3840 = 0.
-4, 3, 8
Suppose -3*b**2/7 + 6360*b/7 - 3370800/7 = 0. Calculate b.
1060
Factor -3*l**4/7 - 789*l**3/7 + 2385*l**2/7 - 2391*l/7 + 114.
-3*(l - 1)**3*(l + 266)/7
Factor 4*j**4 + 124*j**3 + 120*j**2.
4*j**2*(j + 1)*(j + 30)
Find r, given that r**5 + 95*r**4 + 278*r**3 + 184*r**2 = 0.
-92, -2, -1, 0
Let 2*m**2/19 - 6*m/19 = 0. What is m?
0, 3
Solve 24*t**2 - 21*t - 3 = 0 for t.
-1/8, 1
Factor -10*n**4/3 - 484*n**3/3 - 1816*n**2/3 - 592*n.
-2*n*(n + 2)**2*(5*n + 222)/3
Let -t**4/3 - 4*t**3 + 77*t**2 + 242*t/3 = 0. What is t?
-22, -1, 0, 11
Determine k, given that k**5/4 + 119*k**4/4 + 105*k**3/4 - 1559*k**2/4 - 1481*k/2 - 354 = 0.
-118, -3, -1, 4
Suppose s**4 + 105*s**3 + 308*s**2 + 204*s = 0. Calculate s.
-102, -2, -1, 0
Let -3*x**4/5 + 27*x**3/5 - 6*x**2/5 - 252*x/5 - 216/5 = 0. Calculate x.
-2, -1, 6
Solve -4*s**4 - 4*s**3 + 12*s**2 + 4*s - 8 = 0.
-2, -1, 1
Find j such that 2*j**4 - 52*j**3 - 8*j**2 + 208*j = 0.
-2, 0, 2, 26
Suppose -2*h**4/11 + 32*h**3/11 - 28*h**2/11 - 32*h/11 + 30/11 = 0. Calculate h.
-1, 1, 15
Solve -v**5/5 + 7*v**4/5 - 8*v**2 + 16*v/5 + 48/5 = 0 for v.
-2, -1, 2, 6
Factor 4*h**2 - 936*h - 5760.
4*(h - 240)*(h + 6)
Factor -2*v**2/11 + 408*v/11 - 808/11.
-2*(v - 202)*(v - 2)/11
Factor b**2/2 - 69*b/2 + 189.
(b - 63)*(b - 6)/2
Factor t**3 + 45*t**2 - 46*t.
t*(t - 1)*(t + 46)
What