*4/3 - 95*k**3/3 - 175*k**2/3 - 85*k/3 = 0 for k.
-17, -1, 0
Find f such that 7*f**5 - 82*f**4 - 220*f**3 - 56*f**2 = 0.
-2, -2/7, 0, 14
Suppose 3*y**3 - 12*y**2 - 3*y + 12 = 0. What is y?
-1, 1, 4
Determine p, given that 10*p**5/13 + 4*p**4/13 - 250*p**3/13 - 100*p**2/13 = 0.
-5, -2/5, 0, 5
Factor -v**4 - 9*v**3 - 14*v**2.
-v**2*(v + 2)*(v + 7)
Determine o, given that -3*o**3 + 144*o**2 + 297*o + 150 = 0.
-1, 50
Find s such that -8*s**2 - 8*s - 2 = 0.
-1/2
Factor 4*j**2 + 64*j - 320.
4*(j - 4)*(j + 20)
Factor -4*r**2 + 2848*r - 5680.
-4*(r - 710)*(r - 2)
Factor -x**2/3 + 2044*x/3 - 1044484/3.
-(x - 1022)**2/3
Let c**3 + 3*c**2 - 4 = 0. What is c?
-2, 1
Factor -2*f**3 - 162*f**2 - 4374*f - 39366.
-2*(f + 27)**3
Factor 3*n**4 + 12*n**3 - 144*n**2 + 336*n - 240.
3*(n - 2)**3*(n + 10)
Suppose 36*n**3 + 80*n**2 + 16*n = 0. What is n?
-2, -2/9, 0
Suppose 36*s**4 + 96*s**3 + 37*s**2 - 21*s + 2 = 0. Calculate s.
-2, -1, 1/6
Factor 3*y**2 + 3*y - 6.
3*(y - 1)*(y + 2)
Factor 2*p**5 + 54*p**4 - 2916*p**3 - 78732*p**2 + 1062882*p + 28697814.
2*(p - 27)**2*(p + 27)**3
Factor -5*y**2 - 5040*y - 1270080.
-5*(y + 504)**2
Determine d so that -4*d**3 + 168*d**2 + 348*d + 176 = 0.
-1, 44
Let 2*o**5/9 + 94*o**4/9 - 68*o**3/3 - 388*o**2/9 + 202*o/9 + 98/3 = 0. Calculate o.
-49, -1, 1, 3
Let -w**2/5 - 42*w/5 - 41/5 = 0. Calculate w.
-41, -1
Factor -3*o**2/7 - 1152*o/7.
-3*o*(o + 384)/7
Factor -5*l**2 - 315*l + 320.
-5*(l - 1)*(l + 64)
Factor 4*l**4 - 876*l**3 - 4448*l**2 - 7152*l - 3584.
4*(l - 224)*(l + 1)*(l + 2)**2
Factor 2*m**4/5 - 6*m**3 - 108*m**2/5.
2*m**2*(m - 18)*(m + 3)/5
Factor 2*p**2 + 22*p + 36.
2*(p + 2)*(p + 9)
Factor f**2 + 6*f - 16.
(f - 2)*(f + 8)
Factor 3*u**5/4 + 27*u**4/4 - 63*u**3/4 + 33*u**2/4.
3*u**2*(u - 1)**2*(u + 11)/4
Factor -5*l**3 + 7530*l**2 - 2835045*l.
-5*l*(l - 753)**2
Find p such that -25*p**4/3 + 670*p**3 - 40801*p**2/3 + 5360*p - 1600/3 = 0.
1/5, 40
Solve -3*a**2 - 126*a - 123 = 0.
-41, -1
Solve -u**2/2 - 282*u - 39762 = 0.
-282
Suppose 2*i**5/7 - 185*i**4/7 + 836*i**3 - 67680*i**2/7 + 140400*i/7 - 54000/7 = 0. Calculate i.
1/2, 2, 30
Solve -10*f**3 - 15*f**2 = 0.
-3/2, 0
Factor -5*f**3 + 455*f**2 + 925*f + 465.
-5*(f - 93)*(f + 1)**2
Factor -3*o**3/4 + 375*o**2/4 - 366*o + 363.
-3*(o - 121)*(o - 2)**2/4
Determine z, given that -z**5/8 + 5*z**4/4 - 9*z**3/8 = 0.
0, 1, 9
Factor 3*v**4 + 648*v**3 + 34338*v**2 - 70632*v + 35643.
3*(v - 1)**2*(v + 109)**2
Let -1089*v**3/2 - 21714*v**2 + 2638*v - 80 = 0. Calculate v.
-40, 2/33
Factor -k**3 - 58*k**2 + 120*k.
-k*(k - 2)*(k + 60)
Suppose 2*c**4/9 + 56*c**3/9 - 164*c**2/3 - 56*c/9 + 490/9 = 0. What is c?
-35, -1, 1, 7
Factor -2*j**4 - 16*j**3 - 22*j**2 + 40*j.
-2*j*(j - 1)*(j + 4)*(j + 5)
Factor -15625*o**3/2 + 47000*o**2 - 1501*o/2 + 3.
-(o - 6)*(125*o - 1)**2/2
Factor -3*t**5/7 - 291*t**4/7 - 4593*t**3/7 + 116295*t**2/7 - 94800*t + 168000.
-3*(t - 5)**3*(t + 56)**2/7
Solve 2*t**3/7 + 20*t**2/7 - 288*t/7 = 0 for t.
-18, 0, 8
Let 2*z**4/7 + 34*z**3/7 + 12*z**2 = 0. Calculate z.
-14, -3, 0
Factor -m**5/6 + 27*m**4/2.
-m**4*(m - 81)/6
Find i, given that i**5/2 - i**4/2 - 2*i**3 + 2*i**2 = 0.
-2, 0, 1, 2
Factor -2*h**2/7 + 11876*h/7 + 11878/7.
-2*(h - 5939)*(h + 1)/7
Find o, given that -50*o**5/17 + 28910*o**4/17 + 110352*o**3/17 + 132592*o**2/17 + 60512*o/17 + 9312/17 = 0.
-2, -1, -2/5, 582
Determine a so that 4*a**4 + 28*a**3 + 60*a**2 + 52*a + 16 = 0.
-4, -1
Factor -h**4 + 4*h**3 + 5*h**2 - 36*h + 36.
-(h - 3)*(h - 2)**2*(h + 3)
Determine k so that -k**3/2 - 407*k**2/2 - 20604*k + 20808 = 0.
-204, 1
Suppose -2*m**3/7 + 680*m**2/7 - 1354*m/7 + 676/7 = 0. What is m?
1, 338
Factor 2*d**3/11 + 270*d**2/11 + 816*d - 9248/11.
2*(d - 1)*(d + 68)**2/11
Factor l**2/5 + 3958*l/5 + 3916441/5.
(l + 1979)**2/5
Let -v**2/4 + 61*v/2 - 3721/4 = 0. What is v?
61
Let 49*i**5/3 - 3206*i**4/3 - 6413*i**3 - 10204*i**2/3 - 1420*i/3 = 0. What is i?
-5, -2/7, 0, 71
Solve -2*w**4/7 + 188*w**3/7 - 184*w**2/7 - 188*w/7 + 186/7 = 0 for w.
-1, 1, 93
Find n, given that -n**5/9 - 14*n**4 + 134*n**3/9 + 296*n**2/3 - 133*n/9 - 254/3 = 0.
-127, -2, -1, 1, 3
Factor 2*a**2/11 + 30*a/11 - 68/11.
2*(a - 2)*(a + 17)/11
Solve -3*z**5 + 3*z**4 + 9*z**3 - 15*z**2 + 6*z = 0.
-2, 0, 1
Suppose 2*s**5 + 82*s**4 - 348*s**3 + 532*s**2 - 358*s + 90 = 0. What is s?
-45, 1
Let z**4/5 - 6*z**3/5 - 3*z**2/5 + 16*z/5 + 12/5 = 0. What is z?
-1, 2, 6
Find j such that -8*j**5 - 178*j**4 - 204*j**3 + 136*j**2 + 212*j + 42 = 0.
-21, -1, -1/4, 1
Determine q so that -2*q**5/3 + 442*q**4/3 + 2*q**3/3 - 442*q**2/3 = 0.
-1, 0, 1, 221
Solve -2*b**4 - 13*b**3 - 25*b**2 - 8*b + 12 = 0.
-3, -2, 1/2
What is u in u**5/9 + u**4/9 - u**3/3 - u**2/9 + 2*u/9 = 0?
-2, -1, 0, 1
Let 49*k**5 + 126*k**4 + 109*k**3 + 36*k**2 + 4*k = 0. Calculate k.
-1, -2/7, 0
Find o such that -o**2/7 + 99*o/7 + 100/7 = 0.
-1, 100
Factor -n**4/2 + 7*n**3 + 16*n**2.
-n**2*(n - 16)*(n + 2)/2
Factor p**4/2 + p**3/2 - p**2/2 - p/2.
p*(p - 1)*(p + 1)**2/2
Factor z**4/2 - z**3/2 - z**2/2 + z/2.
z*(z - 1)**2*(z + 1)/2
Let -3*n**4 - 9*n**3 + 3*n**2 + 9*n = 0. What is n?
-3, -1, 0, 1
Find l, given that -7*l**5/5 + 12*l**4/5 + 5*l**3 - 10*l**2 + 12*l/5 + 8/5 = 0.
-2, -2/7, 1, 2
Factor 14*s**5/3 - 10*s**4/3 - 4*s**3/3.
2*s**3*(s - 1)*(7*s + 2)/3
Factor -2*u**2/5 - 2204*u/5 - 607202/5.
-2*(u + 551)**2/5
Solve 2*c**2 + 3270*c - 3272 = 0.
-1636, 1
Factor w**3/9 + 7*w**2 + 41*w/3 + 61/9.
(w + 1)**2*(w + 61)/9
Find v such that -v**4/4 + v**3/2 + 39*v**2/4 - 38*v + 28 = 0.
-7, 1, 4
Factor f**3/7 + 303*f**2/7 - 87*f + 305/7.
(f - 1)**2*(f + 305)/7
Determine g so that -2*g**2/3 + 10*g/3 - 8/3 = 0.
1, 4
Find o, given that 2*o**2/3 - 280*o = 0.
0, 420
Factor 3*g**3/8 - 555*g**2/8.
3*g**2*(g - 185)/8
Suppose 2*m**4/9 - 6*m**3 + 274*m**2/9 + 410*m/3 + 100 = 0. Calculate m.
-2, -1, 15
Determine t, given that -90*t**2/11 - 184*t/11 - 8/11 = 0.
-2, -2/45
Factor -10*a**3/9 + 76*a**2/3 - 128*a - 192.
-2*(a - 12)**2*(5*a + 6)/9
Suppose -2*m**2/7 - 10*m/7 + 24 = 0. What is m?
-12, 7
Suppose -3*v**5 - 27*v**4 - 87*v**3 - 117*v**2 - 54*v = 0. What is v?
-3, -2, -1, 0
Let -h**4 + 88*h**3 - 1543*h**2 - 17760*h - 16128 = 0. Calculate h.
-7, -1, 48
Determine r so that -4*r**3 - 664*r**2 + 676*r + 1336 = 0.
-167, -1, 2
Solve -2*h**2/3 + 184*h/3 - 704/3 = 0 for h.
4, 88
Factor 3*x**3 + 849*x**2 + 3360*x + 3348.
3*(x + 2)**2*(x + 279)
Factor 4*q**5/5 + 4*q**4/5 - 8*q**3/5.
4*q**3*(q - 1)*(q + 2)/5
Factor -h**2/2 - 112*h - 1519/2.
-(h + 7)*(h + 217)/2
Solve 2*z**4 - 2*z**3 - 114*z**2 + 226*z - 112 = 0.
-8, 1, 7
Find n such that 5*n**4 + 45*n**3 + 70*n**2 - 120*n = 0.
-6, -4, 0, 1
Determine n, given that 25*n**2 - 770*n + 5929 = 0.
77/5
What is q in -q**3/6 - 7*q**2/3 + q/6 + 7/3 = 0?
-14, -1, 1
Factor 2*m**4 - 22*m**3 - 272*m**2 - 608*m.
2*m*(m - 19)*(m + 4)**2
Factor -o**2 + 366*o - 33489.
-(o - 183)**2
Factor -4*z**3/3 + 116*z**2/3 - 112*z/3.
-4*z*(z - 28)*(z - 1)/3
Determine s, given that 5*s**2 - 395*s - 400 = 0.
-1, 80
Factor 2*u**2 - 84*u + 832.
2*(u - 26)*(u - 16)
Find q, given that -q**2/9 + 923*q/9 + 308/3 = 0.
-1, 924
Factor z**5/11 + 46*z**4/11 - 95*z**3/11 + 48*z**2/11.
z**2*(z - 1)**2*(z + 48)/11
Factor 4*a**2 - 240*a - 1024.
4*(a - 64)*(a + 4)
Solve 10*l**2/7 + 38*l/7 = 0 for l.
-19/5, 0
Let 9*t**3 + 75*t**2 + 168*t + 48 = 0. Calculate t.
-4, -1/3
Solve -8*w**3/13 + 278*w**2/13 - 532*w/13 + 262/13 = 0 for w.
1, 131/4
Factor 2*y**2 - 36*y + 34.
2*(y - 17)*(y - 1)
Let 5*v**5 + 285*v**4 + 5950*v**3 + 52640*v**2 + 145920*v - 204800 = 0. Calculate v.
-16, -10, 1
Factor 2*b**2/7 - 78*b.
2*b*(b - 273)/7
Factor -16*r**5 - 176*r**4 - 696*r**3 - 1296*r**2 - 1161*r - 405.
-(r + 5)*(2*r + 3)**4
Suppose -k**2/3 + 26*k/3 - 23 = 0. What is k?
3, 23
Solve 3*x**4/4 + 21*x**3/4 + 9*x**2/2 = 0.
-6, -1, 0
What is u in 23*u**4 - 2*u**3 - 276*u**2 - 344*u + 32 = 0?
-2, 2/23, 4
Factor -4*c**3 - 72*c**2 - 240*c + 800.
-4*(c - 2)*(c + 10)**2
Suppose 5*t**2 - 50*t + 45 = 0. What is t?
1, 9
Factor -2*y**2/11 + 1252*y/11 - 1250/11.
-2*(y - 625)*(y - 1)/11
Factor -4*q**3 - 328*q**2 - 6020*q + 29584.
-4*(q - 4)*(q + 43)**2
Suppose 2*h**2/7 + 502*h/7 + 500/7 = 0. What is h?
-250, -1
Factor -7*p**3 - 11*p**2 + 16*p + 20.
-(p + 1)*(p + 2)*(7*p - 10)
Suppose 28*w**3 - 5564*w**2 + 3952*w + 1584 = 0. What is w?
-2/7, 1, 198
Determine x 