0*v/3 - 196/3 = 0.
1, 2, 7
Factor l**2/6 + 91*l/6 - 46/3.
(l - 1)*(l + 92)/6
Find m, given that -10*m**4 - 54*m**3 + 220*m**2 + 96*m = 0.
-8, -2/5, 0, 3
Find b, given that 2*b**5/9 - 2*b**4/9 - 2*b**3/3 + 10*b**2/9 - 4*b/9 = 0.
-2, 0, 1
Factor 7*o**3 - 292*o**2 - 385*o - 86.
(o - 43)*(o + 1)*(7*o + 2)
Determine g so that 4*g**2/5 + 4*g - 96/5 = 0.
-8, 3
Solve l**4 - 6*l**3 - 15*l**2 - 8*l = 0.
-1, 0, 8
Suppose 3*q**2 + 351*q = 0. What is q?
-117, 0
Find j such that -3*j**5/8 - 59*j**4/8 - 121*j**3/8 + 251*j**2/8 - 17*j/2 = 0.
-17, -4, 0, 1/3, 1
Solve -3*h**5 + 21*h**4 - 42*h**3 + 6*h**2 + 45*h - 27 = 0.
-1, 1, 3
Factor 12*d**3 - 64*d**2 + 60*d + 72.
4*(d - 3)**2*(3*d + 2)
Determine d, given that d**3 + 76*d**2 + 880*d - 23232 = 0.
-44, 12
Solve -2*o**4/3 + 13*o**3/3 - 7*o**2 - 3*o + 9 = 0.
-1, 3/2, 3
Suppose 10*f**3 - 76*f**2 - 32*f = 0. What is f?
-2/5, 0, 8
Solve 30*m**5 - 813*m**4 - 750*m**3 - 168*m**2 = 0.
-1/2, -2/5, 0, 28
Suppose -2*t**4 - 126*t**3 - 360*t**2 = 0. Calculate t.
-60, -3, 0
Determine d, given that 38*d**5/17 - 300*d**4/17 - 22*d**3 + 4068*d**2/17 + 4536*d/17 + 432/17 = 0.
-3, -1, -2/19, 6
Suppose -4*a**4 - 20*a**3 + 20*a**2 + 180*a + 144 = 0. Calculate a.
-4, -3, -1, 3
Factor -3*z**3/5 - 216*z**2/5 - 3888*z/5.
-3*z*(z + 36)**2/5
Factor 97*r**2/5 + 96*r/5 - 1/5.
(r + 1)*(97*r - 1)/5
Factor -5*i**5 - 130*i**4.
-5*i**4*(i + 26)
Factor -a**2/5 + 32*a/5 - 192/5.
-(a - 24)*(a - 8)/5
Solve -2*s**3 - 34*s**2 - 128*s - 96 = 0.
-12, -4, -1
Factor -3*v**2 - 384*v - 12288.
-3*(v + 64)**2
What is r in -2*r**5/9 + 4*r**4/9 + 8*r**3/9 - 16*r**2/9 = 0?
-2, 0, 2
Determine f so that -4*f**3 - 354*f**2 + 1282*f - 552 = 0.
-92, 1/2, 3
Determine c so that -9*c**5/5 + 21*c**4/5 + 98*c**3/5 - 186*c**2/5 - 153*c/5 - 27/5 = 0.
-3, -1/3, 3
Factor z**2/5 - 400*z + 200000.
(z - 1000)**2/5
Factor -2*z**3/11 - 68*z**2/11 - 6*z.
-2*z*(z + 1)*(z + 33)/11
Factor -28*h**3 - 232*h**2 - 512*h - 128.
-4*(h + 4)**2*(7*h + 2)
Factor 4*a**4 - 8*a**3 - 4*a**2 + 8*a.
4*a*(a - 2)*(a - 1)*(a + 1)
Solve u**3/4 + 7*u**2/4 + 11*u/4 + 5/4 = 0 for u.
-5, -1
What is c in 2*c**3/11 - 234*c**2/11 + 8742*c/11 - 101614/11 = 0?
23, 47
Suppose -3*m**3 - 30*m**2 - 75*m = 0. Calculate m.
-5, 0
Factor 3*x**3 - 39*x**2 - 42*x.
3*x*(x - 14)*(x + 1)
Determine z so that 21*z**5/4 - 41*z**4/4 + 3*z**3/4 + 37*z**2/4 - 6*z + 1 = 0.
-1, 2/7, 2/3, 1
Factor -2*f**4/9 + 8*f**3/9 + 2*f**2/9 - 8*f/9.
-2*f*(f - 4)*(f - 1)*(f + 1)/9
Factor -3*x**5 - 24*x**4 - 54*x**3 - 48*x**2 - 15*x.
-3*x*(x + 1)**3*(x + 5)
Determine a so that -2*a**3/11 - 42*a**2/11 - 40*a/11 = 0.
-20, -1, 0
Find d such that -2*d**5 + 10*d**3 - 8*d = 0.
-2, -1, 0, 1, 2
Factor 5*v**2 - 30*v + 25.
5*(v - 5)*(v - 1)
Let c**5/2 + 2*c**4 + 2*c**3 - c**2 - 5*c/2 - 1 = 0. Calculate c.
-2, -1, 1
Let -u**4 - 4*u**3 = 0. Calculate u.
-4, 0
Factor -2*x**2/11 + 1314*x/11 + 2636/11.
-2*(x - 659)*(x + 2)/11
Determine l so that l**5/4 - 2*l**4 + 6*l**3 - 17*l**2/2 + 23*l/4 - 3/2 = 0.
1, 2, 3
Factor 4*a**4 - 88*a**3 + 672*a**2 - 1960*a + 1372.
4*(a - 7)**3*(a - 1)
Suppose -11*b**5/2 - 35*b**4/2 + 19*b**3 + 4*b**2 = 0. Calculate b.
-4, -2/11, 0, 1
Solve 4*k**5 - 14*k**4 + 2*k**3 + 20*k**2 = 0 for k.
-1, 0, 2, 5/2
Let 2*d**5/5 + 2*d**4 + 12*d**3/5 = 0. Calculate d.
-3, -2, 0
Factor -r**3 - 46*r**2 - 441*r - 396.
-(r + 1)*(r + 12)*(r + 33)
Find u such that -16*u**4/9 - 4*u**3 + 328*u**2/9 - 68*u/3 - 8 = 0.
-6, -1/4, 1, 3
Factor -2*z**4/7 - 424*z**3/7 + 426*z**2/7.
-2*z**2*(z - 1)*(z + 213)/7
What is h in -4*h**4 - 148*h**3 - 1872*h**2 - 8640*h - 6912 = 0?
-12, -1
Determine k, given that k**5/2 + 5*k**4/2 - 193*k**3/2 + 187*k**2/2 = 0.
-17, 0, 1, 11
What is l in 4*l**4 - 16*l**3 + 12*l**2 = 0?
0, 1, 3
Factor 2*a**4/5 + 12*a**3/5 - 16*a**2/5 - 12*a/5 + 14/5.
2*(a - 1)**2*(a + 1)*(a + 7)/5
Factor 2*j**4/9 - 284*j**3/9 + 10082*j**2/9.
2*j**2*(j - 71)**2/9
Solve 2*n**2 - 4408*n - 4410 = 0.
-1, 2205
Factor -p**3 + 3416*p**2 - 2913845*p - 5841362.
-(p - 1709)**2*(p + 2)
What is w in -9*w**3/2 + 2*w**2 + 55*w/2 + 21 = 0?
-14/9, -1, 3
Solve 3*v**4/2 + 24*v**3 + 153*v**2/2 + 54*v = 0.
-12, -3, -1, 0
Find i, given that 2*i**2/5 + 278*i - 1392/5 = 0.
-696, 1
Find f, given that 3*f**4 - 339*f**3 + 9738*f**2 - 78720*f - 88800 = 0.
-1, 20, 74
Solve -2*f**5/3 + f**4/3 + 17*f**3/3 - 16*f**2/3 - 4*f = 0.
-3, -1/2, 0, 2
Factor 245*u**3/3 + 2905*u**2 - 4275*u + 4625/3.
5*(u + 37)*(7*u - 5)**2/3
Factor -3*m**3 + 870*m**2 - 1731*m + 864.
-3*(m - 288)*(m - 1)**2
Suppose -5*y**2 - 120*y - 115 = 0. What is y?
-23, -1
Determine b so that b**2 + 5*b + 4 = 0.
-4, -1
Factor 2*t**4/23 + 82*t**3/23 - 264*t**2/23.
2*t**2*(t - 3)*(t + 44)/23
Factor o**5/7 - 3*o**3/7 - 2*o**2/7.
o**2*(o - 2)*(o + 1)**2/7
Suppose -2*c**4/7 - 164*c**3/7 - 3362*c**2/7 = 0. What is c?
-41, 0
Factor -2*i**5 + 10*i**4 - 12*i**3 - 4*i**2 + 14*i - 6.
-2*(i - 3)*(i - 1)**3*(i + 1)
Factor -676*i**3 + 1404*i**2 + 1728*i + 432.
-4*(i - 3)*(13*i + 6)**2
Factor r**5/4 - 11*r**4/4 - 3*r**3.
r**3*(r - 12)*(r + 1)/4
Determine c so that -c**3 + 42*c**2 - 39*c - 82 = 0.
-1, 2, 41
Factor q**4/2 + 72*q**3 + 695*q**2/2.
q**2*(q + 5)*(q + 139)/2
Solve m**3 - 9*m**2 + 6*m + 16 = 0 for m.
-1, 2, 8
Determine o so that 2*o**3/3 + 28*o**2/3 + 40*o + 48 = 0.
-6, -2
Factor -5*d**3 + 33140*d**2 - 54912980*d.
-5*d*(d - 3314)**2
Let 3*k**5 - 9*k**4 + 3*k**3 + 9*k**2 - 6*k = 0. What is k?
-1, 0, 1, 2
Determine v so that 3*v**4 + 12*v**3 + 6*v**2 - 12*v - 9 = 0.
-3, -1, 1
Solve l**4/4 + 5*l**3 - 171*l**2/4 - 199*l/2 - 52 = 0.
-26, -1, 8
Determine r so that -4*r**4 - 220*r**3 - 3108*r**2 - 2468*r + 5800 = 0.
-29, -25, -2, 1
Factor 2*q**3/5 - 78*q**2/5 + 288*q/5 + 10368/5.
2*(q - 24)**2*(q + 9)/5
Factor -44*q**2/5 + 1124*q/5 + 1728/5.
-4*(q - 27)*(11*q + 16)/5
Solve 2*t**2 - 17608*t/9 + 1304/3 = 0.
2/9, 978
Factor -3*p**3/4 + 15*p**2/4 + 27*p/4 - 135/4.
-3*(p - 5)*(p - 3)*(p + 3)/4
Solve -21*o**5 - 6*o**4 + 189*o**3 - 30*o**2 - 276*o - 72 = 0.
-3, -1, -2/7, 2
Find f such that -f**4/5 + 2*f**3/5 + 4*f**2/5 - 2*f/5 - 3/5 = 0.
-1, 1, 3
Factor 121*w**3 - 88*w**2 + 16*w.
w*(11*w - 4)**2
Factor -75*p**3/7 + 306*p**2/7 - 324*p/7 + 24/7.
-3*(p - 2)**2*(25*p - 2)/7
Factor 17*q**2/7 + 194*q - 160/7.
(q + 80)*(17*q - 2)/7
Suppose 48*z**5 - 1320*z**4 + 4995*z**3 - 135*z**2 - 10935*z - 5589 = 0. What is z?
-3/4, 3, 23
Factor g**4 + 28*g**3/5 + 28*g**2/5 - 16*g/5.
g*(g + 2)*(g + 4)*(5*g - 2)/5
Determine n, given that 3*n**4 - 2562*n**3 + 546984*n**2 + 2562*n - 546987 = 0.
-1, 1, 427
Factor 4*p**5 + 32*p**4 + 24*p**3 - 160*p**2 + 100*p.
4*p*(p - 1)**2*(p + 5)**2
What is f in 5*f**2 - 55*f - 300 = 0?
-4, 15
Factor 2*u**2/5 + 504*u/5 + 502/5.
2*(u + 1)*(u + 251)/5
Let 50*u**4 - 440*u**3 + 1128*u**2 - 704*u + 128 = 0. Calculate u.
2/5, 4
Solve 2*p**5/5 - 58*p**4/5 + 394*p**3/5 + 58*p**2/5 - 396*p/5 = 0.
-1, 0, 1, 11, 18
Factor 3*g**2/4 + 33*g/4 - 9.
3*(g - 1)*(g + 12)/4
Suppose -2*a**5 + 40*a**4 - 90*a**3 - 580*a**2 - 448*a = 0. Calculate a.
-2, -1, 0, 7, 16
Solve -2*n**5 - 10*n**4 - 16*n**3 - 8*n**2 = 0 for n.
-2, -1, 0
Suppose -4*k**5/11 - 90*k**4/11 - 208*k**3/11 - 162*k**2/11 - 40*k/11 = 0. Calculate k.
-20, -1, -1/2, 0
Suppose a**2 + 748*a + 1492 = 0. Calculate a.
-746, -2
Find m, given that -8*m**5 + 40*m**4 - 26*m**3 - 60*m**2 - 18*m = 0.
-1/2, 0, 3
Determine z so that z**5/3 - 4*z**4/3 - 13*z**3/3 + 40*z**2/3 + 16*z = 0.
-3, -1, 0, 4
Solve -f**5/2 - 3*f**4/2 + 3*f**3 + 13*f**2 + 27*f/2 + 9/2 = 0.
-3, -1, 3
Factor 2*a**3/3 + 22*a**2 - 140*a/3.
2*a*(a - 2)*(a + 35)/3
Factor -2*z**3 + 22*z**2 - 14*z - 294.
-2*(z - 7)**2*(z + 3)
Solve 5*p**4/2 - 85*p**3/2 - 1445*p**2/2 - 2615*p/2 - 630 = 0.
-9, -1, 28
Factor -5*z**3 - 70*z**2 + 155*z - 80.
-5*(z - 1)**2*(z + 16)
Find r such that 2*r**3 - 524*r**2 + 34840*r - 67600 = 0.
2, 130
Find h, given that 5*h**4 - 120*h**3 + 750*h**2 - 1000*h - 1875 = 0.
-1, 5, 15
Factor -l**3/2 - 257*l**2 - 1025*l/2 - 256.
-(l + 1)**2*(l + 512)/2
Let -9*r**4 + 34*r**3 + 44*r**2 - 136*r - 32 = 0. Calculate r.
-2, -2/9, 2, 4
Solve -3*y**4/4 + 9*y**3/4 - 9*y**2/4 + 3*y/4 = 0.
0, 1
Factor 2*y**3/11 - 5532*y**2/11 + 5100504*y/11 - 1567554896/11.
2*(y - 922)**3/11
Factor -81*q**4 + 450*q**3 - 517*q**2 - 300*q - 36.
-(q - 3)**2*(9*q + 2)**2
Solve -22*z**4/3 + 172*z**3/3 + 18*z**2 - 172*z/3 - 32/3 = 0 for z.
-1, -2/11, 1, 8
F