)**2*(c + 1)*(5*c - 1)
Factor 21*o**3 - 5403*o**2 - 9336*o + 3108.
3*(o - 259)*(o + 2)*(7*o - 2)
Factor -3*y**5 - 54*y**4 - 288*y**3 - 384*y**2.
-3*y**2*(y + 2)*(y + 8)**2
Solve q**4/5 - q**3/5 - 22*q**2/5 - 44*q/5 - 24/5 = 0 for q.
-2, -1, 6
What is p in -3*p**2/2 - 87*p/2 + 45 = 0?
-30, 1
Suppose -27*j**5 - 60*j**4 + 339*j**3 - 192*j**2 - 60*j = 0. What is j?
-5, -2/9, 0, 1, 2
Factor 8*y**5 + 36*y**4 - 26*y**3 - 25*y**2 + 24*y - 5.
(y + 1)*(y + 5)*(2*y - 1)**3
Find r, given that 4*r**2/7 - 18976*r/7 + 22505536/7 = 0.
2372
Solve 2*g**3 - 112*g**2 + 618*g - 900 = 0 for g.
3, 50
Suppose -s**4/3 + 6*s**2 + 32*s/3 + 5 = 0. Calculate s.
-3, -1, 5
What is m in -m**4 - 17*m**3/4 - 4*m**2 - 3*m/4 = 0?
-3, -1, -1/4, 0
Factor -j**3 - 28*j**2 + 640*j - 2816.
-(j - 8)**2*(j + 44)
Factor 132*n**3 + 17168*n**2 + 558740*n + 33800.
4*(n + 65)**2*(33*n + 2)
Solve 3*j**5 - 129*j**4 - 132*j**3 = 0 for j.
-1, 0, 44
Factor -215*l**3 + 870*l**2 + 1035*l - 50.
-5*(l - 5)*(l + 1)*(43*l - 2)
Suppose 72*a**4/5 - 408*a**3/5 - 334*a**2/5 + 248*a - 120 = 0. Calculate a.
-2, 5/6, 6
Factor -3*l**4 - 192*l**3 - 4008*l**2 - 29952*l - 73008.
-3*(l + 6)**2*(l + 26)**2
Find w such that -w**3/4 + 7*w**2/4 - 3*w/2 = 0.
0, 1, 6
Find v such that -26*v**4/7 - 72*v**3/7 = 0.
-36/13, 0
Let -3*b**4 - 48*b**3 - 129*b**2 + 180*b = 0. What is b?
-12, -5, 0, 1
What is x in -4*x**5/7 - 16*x**4/7 + 28*x**3 + 1264*x**2/7 + 1920*x/7 = 0?
-5, -4, -3, 0, 8
What is k in k**3 + 56*k**2/3 + 343*k/3 + 686/3 = 0?
-7, -14/3
Factor -9*b**3/2 - 33*b**2/2 + 36*b + 30.
-3*(b - 2)*(b + 5)*(3*b + 2)/2
Let -1587*b**2 + 8694*b - 11907 = 0. Calculate b.
63/23
Factor 3*s**2/7 + 2892*s/7 + 696972/7.
3*(s + 482)**2/7
Find a, given that 2*a**4/15 - 2*a**3/5 + 2*a**2/15 + 2*a/5 - 4/15 = 0.
-1, 1, 2
Determine s, given that 65*s**5 + 10*s**4 - 195*s**3 + 100*s**2 + 20*s = 0.
-2, -2/13, 0, 1
Solve q**3 - 408*q**2 + 55488*q - 2515456 = 0.
136
Factor -y**2/3 - 809*y/3 - 808/3.
-(y + 1)*(y + 808)/3
Factor -2*u**4/7 - 54*u**3/7 + 8*u**2.
-2*u**2*(u - 1)*(u + 28)/7
Let 4*k**4/9 - 172*k**3/9 + 1924*k**2/9 - 476*k/3 - 392 = 0. Calculate k.
-1, 2, 21
Find b such that -2*b**3 + 1274*b**2/9 - 976*b/9 - 280/9 = 0.
-2/9, 1, 70
Factor -y**2 + 73*y - 826.
-(y - 59)*(y - 14)
Determine l so that 4*l**2 - 88*l + 484 = 0.
11
Factor 2*o**2/11 + 34*o/11 - 36/11.
2*(o - 1)*(o + 18)/11
Factor 3*u**3 - 273*u**2 + 537*u - 267.
3*(u - 89)*(u - 1)**2
Factor 32*u**3 + 15728*u**2 - 7870*u + 984.
2*(u + 492)*(4*u - 1)**2
Factor 4*r**3 + 84*r**2 + 380*r - 468.
4*(r - 1)*(r + 9)*(r + 13)
Factor a**4 + 4*a**3 + 2*a**2 - 4*a - 3.
(a - 1)*(a + 1)**2*(a + 3)
What is v in 68*v**5 + 130*v**4 + 8*v**3 - 116*v**2 - 76*v - 14 = 0?
-1, -1/2, -7/17, 1
Let 7*l**2/3 + 13*l/3 - 2/3 = 0. Calculate l.
-2, 1/7
Let 3*b**2 - 1866*b + 1863 = 0. What is b?
1, 621
Let -5*g**5 - 35*g**4 - 65*g**3 - 5*g**2 + 70*g + 40 = 0. Calculate g.
-4, -2, -1, 1
Suppose -343*x**5/4 - 644105*x**4/4 + 23058*x**3 + 98614*x**2 + 35684*x + 3756 = 0. What is x?
-1878, -2/7, 1
Factor n**4/8 + n**3/2 - 141*n**2/8 + 45*n.
n*(n - 8)*(n - 3)*(n + 15)/8
Factor -3*u**2/5 + 891*u/5 - 3516/5.
-3*(u - 293)*(u - 4)/5
Suppose 675*f**5/7 + 3390*f**4/7 + 5013*f**3/7 + 3006*f**2/7 + 780*f/7 + 72/7 = 0. What is f?
-3, -1, -2/5, -2/9
Factor 4*s**4 - 104*s**3 - 4*s**2 + 104*s.
4*s*(s - 26)*(s - 1)*(s + 1)
Factor -z**2 + 593*z - 592.
-(z - 592)*(z - 1)
Determine a so that a**4/5 - 18*a**3/5 + 16*a**2/5 + 18*a/5 - 17/5 = 0.
-1, 1, 17
Factor a**4 - 3*a**3 - 62*a**2 - 96*a + 160.
(a - 10)*(a - 1)*(a + 4)**2
Determine g, given that -g**5/3 + 26*g**4/3 - 44*g**3 + 250*g**2/3 - 203*g/3 + 20 = 0.
1, 3, 20
Find y such that -y**4/6 + y**3/3 + 9*y**2/2 - 18 = 0.
-3, 2, 6
Solve 12*a**4 - 129*a**3 + 210*a**2 = 0 for a.
0, 2, 35/4
Factor 2*d**2/3 - 10*d/9.
2*d*(3*d - 5)/9
Find y, given that -15*y**4 - 6*y**3 + 105*y**2 - 48*y - 36 = 0.
-3, -2/5, 1, 2
Factor 4*w**2 + 60840*w + 231344100.
4*(w + 7605)**2
Solve -10*t**3 - 18*t**2 - 8*t = 0 for t.
-1, -4/5, 0
Let z**5 + 119*z**4 + 3822*z**3 + 16578*z**2 + 8721*z - 29241 = 0. Calculate z.
-57, -3, 1
Find b such that -b**3/7 + 386*b**2/7 = 0.
0, 386
Factor -150*h**4 - 609*h**3 - 636*h**2 - 36*h.
-3*h*(h + 2)**2*(50*h + 3)
Suppose 4*w**4 + 6*w**3 - 84*w**2 + 136*w - 48 = 0. What is w?
-6, 1/2, 2
Find a, given that -4*a**2 + 96*a - 92 = 0.
1, 23
Solve 2*i**2/11 + 844*i/11 + 842/11 = 0.
-421, -1
Factor 2*r**5/5 - 6*r**4 + 144*r**3/5 - 216*r**2/5.
2*r**2*(r - 6)**2*(r - 3)/5
Find i, given that 4*i**4/9 + 136*i**3/9 + 28*i**2 - 136*i/9 - 256/9 = 0.
-32, -2, -1, 1
Find q such that 2*q**3/5 + 38*q**2/5 - 418*q/5 + 378/5 = 0.
-27, 1, 7
Find o, given that 4*o**3 + 1156*o**2 + 84096*o + 82944 = 0.
-144, -1
Solve -3*p**3/5 + 63*p**2/5 - 312*p/5 + 252/5 = 0 for p.
1, 6, 14
Suppose -9*r**5 + 39*r**4 + 111*r**3 - 675*r**2 + 486*r + 648 = 0. What is r?
-4, -2/3, 3
Let -a**4 - 57*a**3 + 58*a**2 = 0. Calculate a.
-58, 0, 1
What is w in -w**5/4 - w**4/2 + 7*w**3 - 23*w**2/2 + 21*w/4 = 0?
-7, 0, 1, 3
Solve j**5/3 + 2*j**4 - 50*j**3/3 + 20*j**2 + 49*j/3 - 22 = 0 for j.
-11, -1, 1, 2, 3
Factor -r**3/8 + 8*r**2 - 121*r/8 - 93/4.
-(r - 62)*(r - 3)*(r + 1)/8
Let 10*h**2/9 + 2*h/3 - 4/9 = 0. Calculate h.
-1, 2/5
Factor -576*g**2 + 96*g - 4.
-4*(12*g - 1)**2
Solve 3*a**3 + 981*a**2 - 2970*a = 0.
-330, 0, 3
Factor c**2/2 - 17*c/2 - 9.
(c - 18)*(c + 1)/2
Find b, given that 5*b**4 + 13*b**3 - 6*b**2 - 20*b + 8 = 0.
-2, 2/5, 1
Factor 3*d**3 + 3072*d**2 + 786432*d.
3*d*(d + 512)**2
Factor r**2/3 + 10*r/3.
r*(r + 10)/3
Factor -4*t**2 - 664*t + 1344.
-4*(t - 2)*(t + 168)
Factor -f**4/2 - 18*f**3 - 179*f**2 - 306*f - 289/2.
-(f + 1)**2*(f + 17)**2/2
Factor -5*o**2 - 1575*o + 3170.
-5*(o - 2)*(o + 317)
Factor s**4/5 - 16*s**3/5 - 7*s**2 - 18*s/5.
s*(s - 18)*(s + 1)**2/5
Solve 5*c**4 - 55*c**3 - 210*c**2 - 20*c + 280 = 0.
-2, 1, 14
Factor 5*w**4 - 40*w**3 + 110*w**2 - 120*w + 45.
5*(w - 3)**2*(w - 1)**2
Factor 2*h**3/5 + 892*h**2/5 - 5406*h/5 + 8136/5.
2*(h - 3)**2*(h + 452)/5
Determine b, given that 3*b**2 - 33*b = 0.
0, 11
Factor -49*s**4/4 + 133*s**3/2 - 277*s**2/4 - 57*s - 9.
-(s - 3)**2*(7*s + 2)**2/4
Factor 4*n**4 - 100*n**3 + 492*n**2 + 1300*n + 704.
4*(n - 16)*(n - 11)*(n + 1)**2
Solve 4*p**4 + 44*p**3 - 48*p**2 = 0 for p.
-12, 0, 1
Suppose -2*i**3 - 2*i**2 + 2*i + 2 = 0. What is i?
-1, 1
Factor 2*b**2 - 130*b - 2212.
2*(b - 79)*(b + 14)
Let 4*f**2 + 20*f + 16 = 0. What is f?
-4, -1
Factor 5*q**4 + 140*q**3 + 865*q**2 + 1330*q + 600.
5*(q + 1)**2*(q + 6)*(q + 20)
Let 4*u**2 + 5548*u + 11080 = 0. Calculate u.
-1385, -2
Suppose -3*d**5 - 15*d**4 + 45*d**3 + 15*d**2 - 42*d = 0. What is d?
-7, -1, 0, 1, 2
Find t such that 4*t**2 + 1280*t + 102400 = 0.
-160
Factor 2*z**4/5 + 4*z**3/5 - 6*z**2/5 - 8*z/5 + 8/5.
2*(z - 1)**2*(z + 2)**2/5
Factor 12*t**3/7 + 141*t**2/7 - 576*t/7 + 135/7.
3*(t - 3)*(t + 15)*(4*t - 1)/7
Suppose 5*f**3 = 0. Calculate f.
0
Factor -z**4 + 9*z**3 - 27*z**2 + 27*z.
-z*(z - 3)**3
Factor 28*q**2 - 8*q.
4*q*(7*q - 2)
Find s such that 4*s**5/7 + 3*s**4/7 - 13*s**3/7 - 17*s**2/7 - 3*s/7 + 2/7 = 0.
-1, 1/4, 2
Factor 3*a**2 - 222*a + 4107.
3*(a - 37)**2
Factor -2*r**2/5 + 2808*r/5 - 985608/5.
-2*(r - 702)**2/5
Find b, given that -5*b**2 + 55570*b - 154401245 = 0.
5557
Let 2*s**4/21 - 44*s**3/21 - 14*s**2/3 + 44*s/21 + 32/7 = 0. What is s?
-2, -1, 1, 24
Let k**4 + 93*k**3 - 385*k**2 + 291*k = 0. What is k?
-97, 0, 1, 3
Suppose 5*g**4 + 160*g**3 + 675*g**2 - 14580*g - 72900 = 0. Calculate g.
-18, -5, 9
Factor -4*i**2 + 1384*i - 119716.
-4*(i - 173)**2
Suppose m**5/3 - 7*m**4/3 + 3*m**3 + 7*m**2/3 - 10*m/3 = 0. What is m?
-1, 0, 1, 2, 5
Solve -4*s**3/7 - 6*s**2/7 + 40*s/7 = 0.
-4, 0, 5/2
Factor -20*s**2 - 264*s - 52.
-4*(s + 13)*(5*s + 1)
What is b in -b**5/4 - 25*b**4/4 - 23*b**3/4 + 25*b**2/4 + 6*b = 0?
-24, -1, 0, 1
Factor -15*b**3/2 + 20*b**2 - 65*b/6 + 5/3.
-5*(b - 2)*(3*b - 1)**2/6
Factor -2*n**3/15 - 8*n**2 + 506*n/15 - 128/5.
-2*(n - 3)*(n - 1)*(n + 64)/15
Find p such that 15*p**5 + 51*p**4 + 9*p**3 - 87*p**2 - 24*p + 36 = 0.
-2, -1, 3/5, 1
Determine o so that -o**2/2 + 275*o - 75625/2 = 0.
275
Factor 4*p**5 - 184*p**4 + 528*p**3 - 520*p**2 + 172*p.
4*p*(p - 43)*(p - 1)**3
Determine n so that n**3/2 - 151*n**2/8 + 703*n/4 + 361/8 = 0.
-1/4, 19
Factor 2*i**2 + 56*i.
2*i*(i + 28)
Solve -