w such that -5*w**4 - 70*w**3 - 195*w**2 + 70*w + 200 = 0.
-10, -4, -1, 1
Find r such that -3*r**3 - 135*r**2 + 138*r = 0.
-46, 0, 1
Let -1690*t**5/3 + 104*t**4/3 + 19714*t**3/5 - 10868*t**2/3 + 3176*t/15 - 16/5 = 0. What is t?
-3, 2/65, 1, 2
Factor -5*n**3 - 25*n**2 - 15*n + 45.
-5*(n - 1)*(n + 3)**2
What is k in -32*k**4/13 - 144*k**3/13 + 174*k**2/13 + 100*k + 78 = 0?
-13/4, -1, 3
Solve -3*b**4 + 516*b**3 - 2031*b**2 + 2526*b - 1008 = 0 for b.
1, 2, 168
Factor -4*q**2 - 12144*q - 9217296.
-4*(q + 1518)**2
Determine s, given that -3*s**5/4 - 33*s**4/2 + 753*s**3/4 - 624*s**2 + 825*s - 372 = 0.
-31, 1, 2, 4
Solve -5*o**5/4 - 77*o**4/4 - 345*o**3/4 - 371*o**2/4 - 49*o/2 = 0.
-7, -1, -2/5, 0
Solve -y**4/2 + 37*y**3/4 + 19*y**2/4 = 0 for y.
-1/2, 0, 19
Factor 2*t**3 + 392*t**2 + 390*t.
2*t*(t + 1)*(t + 195)
Determine x, given that 3*x**4/4 - 15*x**3/8 - 45*x**2/8 + 15*x/4 + 3 = 0.
-2, -1/2, 1, 4
Factor -3*t**4 - 3*t**3 + 3*t**2 + 3*t.
-3*t*(t - 1)*(t + 1)**2
Let 5*x**5/2 - 125*x**4 - 1655*x**3/2 - 760*x**2 + 3270*x + 5040 = 0. Calculate x.
-3, -2, 2, 56
Factor 2*f**5 - 6*f**4 + 4*f**3.
2*f**3*(f - 2)*(f - 1)
Factor -u**4/2 + 313*u**3 - 65520*u**2 + 4629248*u - 8998912.
-(u - 208)**3*(u - 2)/2
Factor m**3 - 43*m**2 + 408*m - 1116.
(m - 31)*(m - 6)**2
Factor 15*o**5 + 50*o**4 + 60*o**3 + 30*o**2 + 5*o.
5*o*(o + 1)**3*(3*o + 1)
Factor l**3/3 - 5*l**2 - l/3 + 5.
(l - 15)*(l - 1)*(l + 1)/3
Solve -4*k**3 + 1960*k**2 - 11652*k + 17424 = 0.
3, 484
Factor -3*s**3 - 36*s**2 + 255*s.
-3*s*(s - 5)*(s + 17)
Factor -u**2/5 - 133*u/5.
-u*(u + 133)/5
Solve -h**4/3 + 17*h**2/3 - 16/3 = 0 for h.
-4, -1, 1, 4
Solve -p**2 + 6*p + 16 = 0.
-2, 8
Factor q**4/4 + 2*q**3 - 11*q**2/4 - 9*q/2.
q*(q - 2)*(q + 1)*(q + 9)/4
Determine a so that 4*a**4 - 204*a**3 + 3192*a**2 - 11008*a - 67584 = 0.
-3, 16, 22
Factor -g**2/2 - g/2 + 1.
-(g - 1)*(g + 2)/2
Find g, given that -g**5/6 + 58*g**4/3 - 1619*g**3/3 - 3896*g**2/3 + 24839*g/6 - 6962/3 = 0.
-4, 1, 59
Factor 5*w**4 + 5*w**3 - 75*w**2 + 115*w - 50.
5*(w - 2)*(w - 1)**2*(w + 5)
Let 4*j**3/7 - 4*j**2 + 24*j/7 = 0. Calculate j.
0, 1, 6
Factor -2*q**2 - 34*q - 104.
-2*(q + 4)*(q + 13)
Let -8*z**3/21 + 8*z**2/3 - 130*z/21 + 100/21 = 0. Calculate z.
2, 5/2
Let -4*c**3/5 + 2452*c**2/5 + 19808*c/5 + 39744/5 = 0. Calculate c.
-4, 621
Factor 2*l**3 - 560*l**2 + 558*l.
2*l*(l - 279)*(l - 1)
Factor r**4/8 + r**3/8 - 2*r**2 + 5*r/2.
r*(r - 2)**2*(r + 5)/8
Factor s**3/7 - 12*s**2/7 + 36*s/7.
s*(s - 6)**2/7
Factor -u**4/6 + 4*u**3/3 + 14*u**2/3 - 40*u/3.
-u*(u - 10)*(u - 2)*(u + 4)/6
Factor -5*m**3 - 4810*m**2 - 1156805*m.
-5*m*(m + 481)**2
Factor -3*n**2/2 + 243*n/2 - 570.
-3*(n - 76)*(n - 5)/2
What is u in 169*u**5 - 455*u**4 + 186*u**3 + 92*u**2 + 8*u = 0?
-2/13, 0, 1, 2
Factor 5*f**3 - 60*f**2 + 100*f + 480.
5*(f - 8)*(f - 6)*(f + 2)
Determine g, given that -2*g**4/5 - 28*g**3/5 - 122*g**2/5 - 168*g/5 - 72/5 = 0.
-6, -1
Factor b**3 + 57*b**2 + 840*b + 784.
(b + 1)*(b + 28)**2
Suppose 105*q**3 - 1060*q**2 + 100*q = 0. What is q?
0, 2/21, 10
Factor i**2/3 - 50*i/3.
i*(i - 50)/3
Factor -2*w**3/3 + 338*w**2/3 - 670*w/3 + 334/3.
-2*(w - 167)*(w - 1)**2/3
Let -5*f**4/3 + 475*f**3/3 + 1960*f**2/3 + 660*f = 0. Calculate f.
-2, 0, 99
Let -2*c**4/9 + 2*c**3 - 28*c**2/9 = 0. Calculate c.
0, 2, 7
Solve 12*n**5 + 33*n**4 - 21*n**3 - 33*n**2 + 9*n = 0 for n.
-3, -1, 0, 1/4, 1
Determine c, given that 5*c**2 - 15*c = 0.
0, 3
Let r**2/3 - 94*r - 283/3 = 0. What is r?
-1, 283
Factor 4*u**3 + 16*u**2 - 48*u.
4*u*(u - 2)*(u + 6)
Find d, given that -5*d**3 - 420*d**2 - 3375*d = 0.
-75, -9, 0
Factor -3*h**4 - 12*h**3 - 6*h**2 + 12*h + 9.
-3*(h - 1)*(h + 1)**2*(h + 3)
Factor -y**2 - 118*y - 3481.
-(y + 59)**2
Solve 3*t**4 - 6*t**3 = 0 for t.
0, 2
Factor 2*k**3 - 10*k**2 + 8*k.
2*k*(k - 4)*(k - 1)
Factor 3*f**2/2 - 57*f + 111/2.
3*(f - 37)*(f - 1)/2
Suppose 2*o**5/9 + 124*o**4/9 + 2042*o**3/9 + 1240*o**2/3 + 200*o = 0. Calculate o.
-30, -1, 0
Factor 18*y**3/5 + 122*y**2/5 + 16*y - 24/5.
2*(y + 1)*(y + 6)*(9*y - 2)/5
Factor -c**4 - 5*c**3 + 69*c**2 - 171*c + 108.
-(c - 3)**2*(c - 1)*(c + 12)
Factor 38*b**3/7 - 110*b**2/7 + 64*b/7 + 8/7.
2*(b - 2)*(b - 1)*(19*b + 2)/7
Suppose -3*y**4/5 - 36*y**3/5 + 243*y**2 + 17376*y/5 + 16128/5 = 0. Calculate y.
-16, -1, 21
Factor g**2/6 - 131*g/6 + 43.
(g - 129)*(g - 2)/6
Factor k**3 - 1995*k**2 + 996003*k - 994009.
(k - 997)**2*(k - 1)
Factor -w**2/3 + 268*w/3 - 17956/3.
-(w - 134)**2/3
Factor -m**2 + 21*m - 98.
-(m - 14)*(m - 7)
Suppose -5*g**5 + 45*g**4 - 60*g**3 - 320*g**2 + 960*g - 720 = 0. What is g?
-3, 2, 6
What is a in 3*a**2/5 - 627*a/5 + 624/5 = 0?
1, 208
Determine s so that s**2/2 - 26*s = 0.
0, 52
What is t in 2*t**5/5 + 192*t**4/5 - 604*t**3/5 - 984*t**2/5 + 602*t/5 + 792/5 = 0?
-99, -1, 1, 4
Find h, given that -3*h**5 + 27*h**4 - 15*h**3 - 87*h**2 + 126*h - 48 = 0.
-2, 1, 8
Factor i**4/3 - 5717*i**3/9 + 1210945*i**2/3 - 256854325*i/3 + 512095750/9.
(i - 635)**3*(3*i - 2)/9
Factor 4*s**3/7 + 68*s**2/7 + 88*s/7 - 480/7.
4*(s - 2)*(s + 4)*(s + 15)/7
Determine z so that -2*z**4 + 16*z**3 - 48*z**2 + 64*z - 32 = 0.
2
Factor 2*o**3 - 48*o**2 + 168*o + 1568.
2*(o - 14)**2*(o + 4)
Solve 3*c**3 - 447*c**2 + 882*c = 0 for c.
0, 2, 147
Factor d**2 + 269*d - 2502.
(d - 9)*(d + 278)
Factor -3*j**4 + 3*j**3 + 27*j**2 - 27*j.
-3*j*(j - 3)*(j - 1)*(j + 3)
Factor 3*u**4 + 555*u**3 - 621*u**2 - 11583*u + 25110.
3*(u - 3)**2*(u + 5)*(u + 186)
Factor 4*a**4/5 + 144*a**3/5 - 4*a**2/5 - 144*a/5.
4*a*(a - 1)*(a + 1)*(a + 36)/5
Factor -3*j**3/5 + 264*j**2 + 2649*j/5 + 1326/5.
-3*(j - 442)*(j + 1)**2/5
Solve 4*o**3 - 316*o**2 - 320*o = 0 for o.
-1, 0, 80
Suppose 2*q**3 - 1152*q**2 + 167034*q - 329476 = 0. What is q?
2, 287
Factor o**3 + 3*o**2/2 + o/2.
o*(o + 1)*(2*o + 1)/2
Find l such that 3*l**3/7 - 1335*l**2/7 - 3*l/7 + 1335/7 = 0.
-1, 1, 445
Let 5*d**2 - 200*d + 2000 = 0. What is d?
20
Factor 6*i**4 - 4*i**3 - 24*i**2 + 16*i.
2*i*(i - 2)*(i + 2)*(3*i - 2)
Factor -5*q**3 + 275*q**2 + 570*q.
-5*q*(q - 57)*(q + 2)
Factor 12838*w**3/9 - 826*w**2 + 368*w/3 - 8/9.
2*(7*w - 2)**2*(131*w - 1)/9
Find r, given that 5*r**3 - 10*r**2 + 5*r = 0.
0, 1
Factor -10*u**2 - 26*u + 12.
-2*(u + 3)*(5*u - 2)
Factor -4*z**3/5 + 188*z**2/5 - 528*z/5.
-4*z*(z - 44)*(z - 3)/5
Solve 4*c**4 + 904*c**3 - 4592*c**2 + 6456*c - 2772 = 0.
-231, 1, 3
Factor -4*n**4/9 + 52*n**3/9 - 176*n**2/9 + 128*n/9.
-4*n*(n - 8)*(n - 4)*(n - 1)/9
Suppose m**5/4 - m**4 - 11*m**3/4 - 3*m**2/2 = 0. What is m?
-1, 0, 6
Factor -10*h**2/13 - 34*h/13 - 12/13.
-2*(h + 3)*(5*h + 2)/13
Find z such that -2*z**5 + 48*z**4 + 336*z**3 + 700*z**2 + 594*z + 180 = 0.
-3, -1, 30
What is v in 2*v**2/23 + 268*v/23 + 8978/23 = 0?
-67
Suppose 22*t**5/7 + 618*t**4/7 + 3708*t**3/7 - 8908*t**2/7 + 4110*t/7 + 450/7 = 0. Calculate t.
-15, -1/11, 1
Let -3*w**2/7 + 198*w/7 + 1296/7 = 0. Calculate w.
-6, 72
Let -l**4 - l**3 + 8*l**2 + 12*l = 0. What is l?
-2, 0, 3
Factor 2*l**3/7 + 146*l**2/7.
2*l**2*(l + 73)/7
Factor h**4/2 + 4*h**3 - 36*h**2 - 432*h - 1080.
(h - 10)*(h + 6)**3/2
Factor -10*q**4 - 485*q**3 - 240*q**2.
-5*q**2*(q + 48)*(2*q + 1)
Factor -5*b**3 + 70*b**2 - 305*b + 420.
-5*(b - 7)*(b - 4)*(b - 3)
Factor 3*x**4/7 + 129*x**3/7 - 132*x**2/7.
3*x**2*(x - 1)*(x + 44)/7
Determine l so that -l**4/4 - 6*l**3 + 188*l**2 + 2688*l - 50176 = 0.
-28, 16
Factor -5*k**2 - 1540*k - 118580.
-5*(k + 154)**2
Factor x**2/4 - 23*x + 267/4.
(x - 89)*(x - 3)/4
Let 14*z**3 - 1256*z**2 + 27990*z + 8100 = 0. What is z?
-2/7, 45
Factor -4*h**4/3 - 40*h**3/3 - 128*h**2/3 - 128*h/3.
-4*h*(h + 2)*(h + 4)**2/3
Factor n**2/3 + 46*n/3 - 767/3.
(n - 13)*(n + 59)/3
Factor 5*k**3 - 25*k**2 - 190*k + 840.
5*(k - 7)*(k - 4)*(k + 6)
Determine l, given that 2*l**2/3 - 44*l/3 - 46/3 = 0.
-1, 23
Factor -4*j**5/9 + 20*j**4/9 - 32*j**3/9 + 16*j**2/9.
-4*j**2*(j - 2)**2*(j - 1)/9
Factor -m**2/6 - 2*m + 13/6.
-(m - 1)*(m + 13)/6
Find t such that 3*t**2/5 + 6*t/5 - 24/5 = 0.
-4, 2
Solve r**3/8 - 15*r**2/2 - r/8 + 15/2 = 0.
-1, 1, 60
Factor 3*v**3/4 - v**2 - 13*v/4 - 3/2.
(v - 3)*(v + 1)*(3*v + 2)/4
Solve 4*k**2/7 + 9496*k/7 + 5635876/7 = 0.
-1187
Factor d**5/3 - 7*d**4/3 + 2*d**3 + 32*d**2/3 - 32*d/3.
d*(d - 4)**2*(d - 1)*(d + 2)/3
Factor r**2/2 + 13*r + 44.
(r + 4)*(r + 22)/2
Solve -v**5 - 7*v**4 - 17*v**3 - 17*v**2 - 6*v = 0 for v.
