55
Factor 20*p**5 + 12*p**4 - 32*p**3.
4*p**3*(p - 1)*(5*p + 8)
Factor -2*t**3/5 - 6*t**2 - 72*t/5.
-2*t*(t + 3)*(t + 12)/5
Factor -z**3/3 - 58*z**2/3 - 112*z/3.
-z*(z + 2)*(z + 56)/3
Factor 3*l**2/5 + 81*l/5 - 84/5.
3*(l - 1)*(l + 28)/5
Solve 81*p**5 + 198*p**4 + 121*p**3 = 0.
-11/9, 0
Factor 3*t**2/8 - 327*t/8 + 1485/4.
3*(t - 99)*(t - 10)/8
Let 4*y**3 + 20*y**2 - 16*y - 80 = 0. What is y?
-5, -2, 2
Factor 5*h**2 - 4660*h.
5*h*(h - 932)
Find o, given that -21*o**4/8 + 15*o**3/8 + 3*o**2/4 = 0.
-2/7, 0, 1
Determine w so that 2*w**5 + 767*w**4/2 + 3594*w**3 + 16355*w**2/2 - 2275*w = 0.
-182, -5, 0, 1/4
Determine a so that -a**5/7 + 3*a**4/7 + 4*a**3/7 = 0.
-1, 0, 4
Solve -7*d**4/4 - 1077*d**3/2 - 41349*d**2 + 11858*d = 0 for d.
-154, 0, 2/7
Factor -2*j**2/3 - 32*j/3 - 26.
-2*(j + 3)*(j + 13)/3
Factor t**5/2 + 29*t**4 - 59*t**3/2.
t**3*(t - 1)*(t + 59)/2
Factor -2*o**4/3 + 58*o**3 - 1682*o**2 + 48778*o/3.
-2*o*(o - 29)**3/3
Let -2*v**5/5 - 6*v**4 - 26*v**3/5 + 486*v**2/5 - 764*v/5 + 336/5 = 0. What is v?
-12, -7, 1, 2
Find d such that 4*d**5 + 260*d**4 + 756*d**3 + 748*d**2 + 248*d = 0.
-62, -1, 0
Find w such that -21*w**4 - 435*w**3 - 1050*w**2 - 420*w + 216 = 0.
-18, -2, -1, 2/7
Factor -4*d**4 - 548*d**3 - 3176*d**2 - 4192*d.
-4*d*(d + 2)*(d + 4)*(d + 131)
Suppose 2*l**3/13 - 202*l**2/13 + 2208*l/13 - 6408/13 = 0. Calculate l.
6, 89
Factor -l**3/2 - 581*l**2/2.
-l**2*(l + 581)/2
Solve c**5 - 2*c**4 - 7*c**3 - 4*c**2 = 0.
-1, 0, 4
Find n such that -5*n**2 + 25*n + 420 = 0.
-7, 12
Factor 3*n**2/8 + n/2.
n*(3*n + 4)/8
Factor d**3 + 7*d**2.
d**2*(d + 7)
Factor -3*k**3/5 - 84*k**2/5 + 177*k/5 - 18.
-3*(k - 1)**2*(k + 30)/5
Factor 4*y**2 - 48*y - 180.
4*(y - 15)*(y + 3)
Find y, given that 12*y**3 - 20*y**2 - 8*y = 0.
-1/3, 0, 2
Let -2*r**4/3 - 5456*r**3/3 - 1242148*r**2 - 7436528*r/3 - 3715538/3 = 0. Calculate r.
-1363, -1
Let -2*t**2/13 + 248*t/13 - 7688/13 = 0. What is t?
62
Factor 10*k**3/3 + 554*k**2/3 - 920*k/3 - 152.
2*(k - 2)*(k + 57)*(5*k + 2)/3
Factor -420*k**2 - 25*k + 20.
-5*(4*k + 1)*(21*k - 4)
Find u such that 2*u**5/11 + 5498*u**4/11 + 5669124*u**3/11 + 2599605252*u**2/11 + 448103415546*u/11 + 445509473922/11 = 0.
-687, -1
Let -5*w**3 - 255*w**2 + 1085*w - 825 = 0. What is w?
-55, 1, 3
Determine l so that l**4/5 - 129*l**3/5 + 890*l**2 - 17484*l/5 - 53816/5 = 0.
-2, 7, 62
Let -2*k**5/9 - 32*k**4/9 = 0. What is k?
-16, 0
Let -375*y**4 - 1425*y**3 + 2070*y**2 - 876*y + 120 = 0. Calculate y.
-5, 2/5
Factor 5*i**2 - 570*i + 16245.
5*(i - 57)**2
Factor 48*j**4 - 312*j**3 + 123*j**2 + 123*j + 18.
3*(j - 6)*(j - 1)*(4*j + 1)**2
Factor 3*j**3 + 711*j**2 - 1434*j.
3*j*(j - 2)*(j + 239)
Suppose -2*v**5 + 90*v**4 - 252*v**3 - 8*v**2 + 336*v = 0. What is v?
-1, 0, 2, 42
Solve -2*r**5 - 14*r**4 - 28*r**3 - 4*r**2 + 30*r + 18 = 0 for r.
-3, -1, 1
Factor -2*j**3/7 + 46*j**2/7 + 936*j/7.
-2*j*(j - 36)*(j + 13)/7
Solve 3*p**4 + 6*p**3 + 3*p**2 = 0 for p.
-1, 0
Factor 2*a**2 - 188*a + 186.
2*(a - 93)*(a - 1)
Factor -g**3/10 + 19*g**2/5 + g/10 - 19/5.
-(g - 38)*(g - 1)*(g + 1)/10
Let -z**5/4 + 9*z**4/2 + 13*z**3/2 - 30*z**2 - 241*z/4 - 57/2 = 0. Calculate z.
-2, -1, 3, 19
Solve -6*p**2 - 4004*p + 2672 = 0 for p.
-668, 2/3
Solve -t**3/3 - 13*t**2/3 - 35*t/3 + 49/3 = 0 for t.
-7, 1
Let -3*b**5 - 40*b**4 - 152*b**3 - 96*b**2 + 144*b = 0. Calculate b.
-6, -2, 0, 2/3
Factor n**5/2 + 3*n**4/2 - 9*n**3/2 + 5*n**2/2.
n**2*(n - 1)**2*(n + 5)/2
Factor 169*p**3/2 - 39*p**2/2 + 9*p/8.
p*(26*p - 3)**2/8
Factor 2*v**5 - 766*v**4 + 74486*v**3 - 218882*v**2 + 217360*v - 72200.
2*(v - 190)**2*(v - 1)**3
Factor 5*c**3 - 4725*c**2 + 1488375*c - 156279375.
5*(c - 315)**3
Factor f**2/3 + 13*f/3 - 68/3.
(f - 4)*(f + 17)/3
Suppose n**5/2 - n**4/2 - 46*n**3 - 216*n**2 - 288*n = 0. Calculate n.
-4, -3, 0, 12
Find n such that -20*n**3 + 12*n**2 + 408*n + 160 = 0.
-4, -2/5, 5
Solve -2*a**4/17 + 118*a**3/17 - 226*a**2/17 - 118*a/17 + 228/17 = 0 for a.
-1, 1, 2, 57
Let 10*w**2 - 1458*w - 292 = 0. Calculate w.
-1/5, 146
What is g in g**2/2 + 3*g/2 + 1 = 0?
-2, -1
Let -k**2 + 35*k + 624 = 0. What is k?
-13, 48
Suppose -3*j**5/5 - 207*j**4/5 - 4956*j**3/5 - 45408*j**2/5 - 104544*j/5 - 63888/5 = 0. What is j?
-22, -2, -1
Suppose 2*u**2/9 - 1940*u/9 + 470450/9 = 0. What is u?
485
Solve w**4/3 - 8*w**2/3 + 16/3 = 0.
-2, 2
Factor a**4/6 - 934*a**3/3 + 437111*a**2/3 - 290474*a + 290163/2.
(a - 933)**2*(a - 1)**2/6
Let 2*q**4/3 + 4*q**3/3 - 2*q**2 = 0. What is q?
-3, 0, 1
Solve 2*s**4 + 6*s**3 - 18*s**2 + 10*s = 0 for s.
-5, 0, 1
What is s in -s**2/6 + 65*s/6 - 154 = 0?
21, 44
What is k in k**4 + 91*k**3 + 1929*k**2 - 6439*k + 4418 = 0?
-47, 1, 2
Find l such that l**3/2 - 75*l**2/2 - 153*l/2 - 77/2 = 0.
-1, 77
Determine p so that -p**3 + 182*p**2 - 181*p = 0.
0, 1, 181
Suppose -2*u**3/5 - 156*u**2/5 - 154*u/5 = 0. Calculate u.
-77, -1, 0
Find v such that 48*v**5/5 - 1224*v**4/5 + 9939*v**3/5 - 23598*v**2/5 - 2748*v - 360 = 0.
-1/4, 6, 10
Factor -2*x**3 - 26*x**2 - 46*x - 22.
-2*(x + 1)**2*(x + 11)
Factor -3*y**2/5 - 9*y + 60.
-3*(y - 5)*(y + 20)/5
Let -2*a**5/15 + 254*a**4/15 + 4*a**3/15 - 508*a**2/15 - 2*a/15 + 254/15 = 0. What is a?
-1, 1, 127
Let 2*i**2/17 - 168*i/17 + 790/17 = 0. What is i?
5, 79
Let 3*o**4 - 51*o**3 + 216*o**2 = 0. What is o?
0, 8, 9
Factor 8*r**4 + 2*r**3 - 8*r**2 - 2*r.
2*r*(r - 1)*(r + 1)*(4*r + 1)
Let x**3/6 - 118*x**2/3 + 4719*x/2 - 4563 = 0. Calculate x.
2, 117
Factor v**5/2 - 11*v**4 - 256*v**3 - 1696*v**2 - 4736*v - 4864.
(v - 38)*(v + 4)**4/2
Let -5*t**2/3 - 130*t/3 - 125/3 = 0. What is t?
-25, -1
Factor -d**3/7 - 3*d**2/7 + d/7 + 3/7.
-(d - 1)*(d + 1)*(d + 3)/7
Solve 2*s**4 + 25*s**3 + 12*s**2 = 0 for s.
-12, -1/2, 0
Factor -4*p**5 + 360*p**4 + 1488*p**3 + 1504*p**2.
-4*p**2*(p - 94)*(p + 2)**2
Factor -6*r**2/5 + 132*r - 3630.
-6*(r - 55)**2/5
Solve -2*g**2/9 + 742*g/9 + 1000/3 = 0 for g.
-4, 375
Factor -l**3/4 - 7*l**2/2 - 9*l/4 + 81.
-(l - 4)*(l + 9)**2/4
Determine d so that 30*d**3 + 639*d**2 + 789*d + 180 = 0.
-20, -1, -3/10
Determine c, given that -9*c**5 - 15*c**4 + 33*c**3 + 27*c**2 - 48*c + 12 = 0.
-2, 1/3, 1
Factor -2*w**3/3 - w**2/3 + 4*w - 3.
-(w - 1)*(w + 3)*(2*w - 3)/3
What is n in -5*n**4/2 - 43*n**3/2 + 268*n**2 - 472*n - 384 = 0?
-16, -3/5, 4
Determine i, given that -i**2 - 452*i - 51076 = 0.
-226
Factor z**4 + 29*z**3 - 61*z**2 + 31*z.
z*(z - 1)**2*(z + 31)
Solve 5*s**5 + 125*s**4 + 720*s**3 - 3400*s**2 - 34000*s - 30000 = 0.
-10, -1, 6
Let -c**3 - 10*c**2 - 12*c + 72 = 0. What is c?
-6, 2
Factor -3*t**4 - 36*t**3 - 123*t**2 - 126*t.
-3*t*(t + 2)*(t + 3)*(t + 7)
Find b, given that 3*b**5/2 - 15*b**4/2 + 9*b**3/2 + 15*b**2/2 - 6*b = 0.
-1, 0, 1, 4
Let -4*k**2 + 140*k - 384 = 0. What is k?
3, 32
Let 2*w**4/9 - 26*w**3/3 + 76*w**2/9 = 0. What is w?
0, 1, 38
Find p, given that -2*p**3 + 28*p**2 - 50*p + 24 = 0.
1, 12
Determine q, given that -q**4/2 + 5*q**3/2 - 9*q**2/2 + 7*q/2 - 1 = 0.
1, 2
What is u in u**5/2 - 4*u**4 - 75*u**3/2 + 427*u**2 - 980*u = 0?
-10, 0, 4, 7
Factor 5*o**3 - 250*o**2 - 1375*o.
5*o*(o - 55)*(o + 5)
Determine v so that 20*v**5 + 355*v**4 + 1045*v**3 - 220*v**2 - 2100*v = 0.
-14, -3, -2, 0, 5/4
Factor -3*r**2/5 + 3993*r/5 + 3996/5.
-3*(r - 1332)*(r + 1)/5
Determine t so that 8*t**5/5 + 4*t**4 - 4*t**3 - 16*t**2 - 48*t/5 = 0.
-2, -3/2, -1, 0, 2
Factor n**2/4 + 131*n/4 - 33.
(n - 1)*(n + 132)/4
Find c, given that c**5/4 + 13*c**4/2 + 109*c**3/4 - 195*c**2 + 225*c = 0.
-15, 0, 2
Determine l so that l**2/3 + 134*l/3 + 4489/3 = 0.
-67
Solve 4*m**2/3 + 1060*m - 6376/3 = 0 for m.
-797, 2
Factor 2*q**2/13 - 30*q/13.
2*q*(q - 15)/13
Factor 2*m**3 - 34*m**2 + 126*m + 162.
2*(m - 9)**2*(m + 1)
Factor -4*k**4 - 16*k**3.
-4*k**3*(k + 4)
Suppose -3*d**3 - 7638*d**2/7 - 1860*d + 4344/7 = 0. What is d?
-362, -2, 2/7
Factor 2*j**4/11 - 30*j**3/11 + 1000*j/11.
2*j*(j - 10)**2*(j + 5)/11
Factor -g**4/2 + 67*g**3/2 - 1005*g**2/2 - 4375*g/2 + 6125.
-(g - 35)**2*(g - 2)*(g + 5)/2
What is x in 35*x**5 + 675*x**4 + 4110*x**3 + 7840*x**2 + 1920*x = 0?
-8, -3, -2/7, 0
What is c in 2*c**4/13 - 28*c**3/13 - 8*c**2/13 + 112*c/13 = 0?
-2, 0, 2, 14
Suppose -2*d**4 - 1104*d**3 - 150128*d**2 + 613824*d - 618272 = 0. What is d?
-278, 2
Factor -2*x**5 - 6*x**4 + 8*x**3 + 32*x**2 - 32.
-2*(x - 2)*(x - 1)*(x + 2)**3
Factor 1820316861*s**3/2 + 4472523*s**2