 5.
-(h + 1)*(h + 10)/2
Factor 3*z**2 - 1770*z + 261075.
3*(z - 295)**2
Factor a**4 - 383*a**3 + 36480*a**2 + 36864*a.
a*(a - 192)**2*(a + 1)
Factor -2*a**2 + 980*a - 120050.
-2*(a - 245)**2
Let 2*m**3/5 - 78*m**2/5 + 918*m/5 - 578 = 0. What is m?
5, 17
Factor -4*i**4 - 228*i**3 - 864*i**2 - 848*i.
-4*i*(i + 2)**2*(i + 53)
Solve 5*n**2 + 36180*n + 65449620 = 0.
-3618
Factor 2*i**5 - 2*i**4 - 10*i**3 - 6*i**2.
2*i**2*(i - 3)*(i + 1)**2
Determine h, given that -2*h**5 - 10*h**4 - 2*h**3 + 34*h**2 + 44*h + 16 = 0.
-4, -1, 2
Find c, given that c**5/3 - 25*c**4/6 + 17*c**3 - 161*c**2/6 + 53*c/3 - 4 = 0.
1/2, 1, 4, 6
Factor 5*o**4/4 + 67*o**3/4 + 71*o**2 + 96*o.
o*(o + 3)*(o + 4)*(5*o + 32)/4
Factor m**2/6 + 317*m/3 - 635/6.
(m - 1)*(m + 635)/6
What is n in -6*n**5/13 + 38*n**4/13 - 6*n**3 + 58*n**2/13 - 12*n/13 = 0?
0, 1/3, 1, 2, 3
Factor 14*o**2/5 + 696*o/5 - 40.
2*(o + 50)*(7*o - 2)/5
Determine o, given that -2*o**3/3 - 325*o**2/3 - 54*o = 0.
-162, -1/2, 0
Factor -2*h**3/17 + 2*h**2/17.
-2*h**2*(h - 1)/17
Factor -n**2/6 - 91*n/2 - 1060/3.
-(n + 8)*(n + 265)/6
Determine g so that g**2 + 27*g/5 + 2 = 0.
-5, -2/5
Factor x**3 + 80*x**2 + 1300*x + 6000.
(x + 10)**2*(x + 60)
Factor 5*f**5 + 20*f**4 - 30*f**3 - 20*f**2 + 25*f.
5*f*(f - 1)**2*(f + 1)*(f + 5)
Find d, given that d**4 - 12*d**3 + 9*d**2 + 22*d = 0.
-1, 0, 2, 11
Factor 7*k**2/4 - 337*k/2 + 48.
(k - 96)*(7*k - 2)/4
Let -42*k**5 - 201*k**4 - 138*k**3 - 24*k**2 = 0. What is k?
-4, -1/2, -2/7, 0
Let 2*h**3/7 + 1828*h**2/7 + 415864*h/7 - 839056/7 = 0. Calculate h.
-458, 2
Solve 4*k**4 + 24*k**3 - 44*k**2 - 240*k + 400 = 0 for k.
-5, 2
Factor 24*r**2 + 27*r + 3.
3*(r + 1)*(8*r + 1)
Factor 4*h**3 - 124*h**2 + 120*h.
4*h*(h - 30)*(h - 1)
Factor 6*b**3/5 + 2*b**2 + 4*b/5.
2*b*(b + 1)*(3*b + 2)/5
Let m**5 + 5*m**4 - 2*m**3 - 28*m**2 - 8*m + 32 = 0. What is m?
-4, -2, 1, 2
Factor 5*k**2 + 1405*k - 2830.
5*(k - 2)*(k + 283)
Let -5*t**4 + 10*t**3 + 20*t**2 - 10*t - 15 = 0. Calculate t.
-1, 1, 3
Solve -4*d**5/3 - 8*d**4/3 + 16*d**3/3 + 8*d**2/3 - 4*d = 0.
-3, -1, 0, 1
Factor -g**3 - 77*g**2.
-g**2*(g + 77)
Factor -4*t**3/7 + 436*t**2/7 + 884*t/7 + 444/7.
-4*(t - 111)*(t + 1)**2/7
Factor -s**3/6 - 3161*s**2/3 - 9991921*s/6.
-s*(s + 3161)**2/6
Factor -r**5/2 + 3*r**4 + 3*r**3 - 14*r**2 - 45*r/2 - 9.
-(r - 6)*(r - 3)*(r + 1)**3/2
Factor 2*k**4/5 + 524*k**3/5 + 34322*k**2/5.
2*k**2*(k + 131)**2/5
Find m such that 4*m**2 + 1240*m + 96100 = 0.
-155
Factor -2*g**3 - 10*g**2 + 2*g + 10.
-2*(g - 1)*(g + 1)*(g + 5)
Factor -5*f**3 + 145*f**2 - 340*f - 1300.
-5*(f - 26)*(f - 5)*(f + 2)
Solve -c**4 - 11*c**3 - 36*c**2 - 16*c + 64 = 0.
-4, 1
Factor -3*u**3 + 81*u**2.
-3*u**2*(u - 27)
Find h, given that 2*h**5/11 - 138*h**4/11 + 3486*h**3/11 - 37534*h**2/11 + 131712*h/11 + 172872/11 = 0.
-1, 14, 21
Let 15*q**3 - 9*q**2 - 240*q + 144 = 0. What is q?
-4, 3/5, 4
Factor 5*w**4/2 - 15*w**3/4 + 5*w/4.
5*w*(w - 1)**2*(2*w + 1)/4
Suppose -27*k**5 - 1050*k**4 - 9573*k**3 + 13050*k**2 + 9600*k - 12000 = 0. Calculate k.
-20, -1, 1, 10/9
Suppose -4*x**2 - 68*x + 800 = 0. What is x?
-25, 8
Let -2*o**3/11 - 76*o**2/11 - 74*o/11 = 0. What is o?
-37, -1, 0
Find v such that -21*v**5 - 78*v**4 + 66*v**3 + 240*v**2 - 261*v + 54 = 0.
-3, 2/7, 1
Factor 14*d**3 - 228*d**2 + 904*d - 240.
2*(d - 10)*(d - 6)*(7*d - 2)
Factor 4*p**2 - 28*p.
4*p*(p - 7)
Factor 96*w**4 - 290*w**3 + 198*w**2 - 4*w.
2*w*(w - 2)*(w - 1)*(48*w - 1)
Factor -3*i**2/5 - 42*i/5 + 96/5.
-3*(i - 2)*(i + 16)/5
Let -4*v**2/3 - 16*v/3 + 156 = 0. Calculate v.
-13, 9
Factor -2*a**2/5 + 1254*a/5.
-2*a*(a - 627)/5
Factor -2*o**2/7 + 708*o + 4958/7.
-2*(o - 2479)*(o + 1)/7
Solve -2*m**2 + 22*m + 24 = 0.
-1, 12
What is a in -2*a**4/7 - 6*a**3/7 + 66*a**2/7 + 110*a/7 - 600/7 = 0?
-5, 3, 4
Find s, given that -2*s**4/5 + 3*s**3 - 18*s**2/5 - s/5 + 6/5 = 0.
-1/2, 1, 6
Factor 8*g**4/3 + 206*g**3/3 - 52*g**2/3.
2*g**2*(g + 26)*(4*g - 1)/3
Factor -k**3 - 8*k**2 - 19*k - 12.
-(k + 1)*(k + 3)*(k + 4)
Solve -3*i**3 + 99*i**2 - 765*i - 867 = 0.
-1, 17
Find j such that 3*j**5/5 + 18*j**4/5 - 9*j**3/5 - 48*j**2/5 + 36*j/5 = 0.
-6, -2, 0, 1
Factor -s**3 - 87*s**2 - 2016*s - 5292.
-(s + 3)*(s + 42)**2
Solve -3*w**3/5 + 21*w**2/5 - 33*w/5 + 3 = 0.
1, 5
What is t in -16*t**2 - 34*t/3 = 0?
-17/24, 0
Determine q, given that 5*q**3 + 75*q**2 + 190*q + 120 = 0.
-12, -2, -1
Suppose 9*r**4 + 47*r**3 - 107*r**2 + 37*r + 14 = 0. What is r?
-7, -2/9, 1
Find y such that -2*y**3 - 16*y**2 - 34*y - 20 = 0.
-5, -2, -1
Let 5*t**3/4 - 65*t**2/4 - 5*t + 65 = 0. What is t?
-2, 2, 13
Factor 45*z**4 + 8580*z**3 - 11500*z**2 + 3840*z.
5*z*(z + 192)*(3*z - 2)**2
Let b**4 - 9*b**3 + 15*b**2 - 7*b = 0. What is b?
0, 1, 7
Solve 4*q**2 - 116*q + 112 = 0.
1, 28
Factor -3*h**4/5 + 6*h**2/5 - 3/5.
-3*(h - 1)**2*(h + 1)**2/5
Factor -2*k**3 + 780*k**2 + 786*k - 1564.
-2*(k - 391)*(k - 1)*(k + 2)
Solve 2*b**2/7 + 264*b/7 + 8712/7 = 0 for b.
-66
Factor -2*v**3 + 54*v**2 - 280*v.
-2*v*(v - 20)*(v - 7)
Suppose 21*v**5 + 24*v**4 - 18*v**3 - 24*v**2 - 3*v = 0. Calculate v.
-1, -1/7, 0, 1
Determine m, given that -m**3/2 + 207*m**2/2 - 411*m/2 + 205/2 = 0.
1, 205
Suppose -2*i**5/13 - 18*i**4/13 - 4*i**3/13 + 168*i**2/13 - 144*i/13 = 0. What is i?
-6, 0, 1, 2
Let 4*y**3 + 3696*y**2 - 7404*y + 3704 = 0. Calculate y.
-926, 1
Factor 2*v**2/7 - 240*v/7 + 7200/7.
2*(v - 60)**2/7
Determine g so that -g**4 - 5*g**3 - 3*g**2 + 5*g + 4 = 0.
-4, -1, 1
Factor 2*q**3 + 416*q**2 - 8*q - 1664.
2*(q - 2)*(q + 2)*(q + 208)
Let 2*y**5/13 - 742*y**4/13 + 68448*y**3/13 + 69192*y**2/13 = 0. Calculate y.
-1, 0, 186
Factor f**2/7 - 22*f/7.
f*(f - 22)/7
Factor -4*v**2/9 + 32*v/9 + 228.
-4*(v - 27)*(v + 19)/9
Factor 18*y**3 + 321*y**2 + 756*y - 135.
3*(y + 3)*(y + 15)*(6*y - 1)
What is m in m**3 - 14112*m**2 + 66382848*m - 104088305664 = 0?
4704
Suppose -18*y**3/13 - 192*y**2/13 + 280*y/13 - 96/13 = 0. What is y?
-12, 2/3
Suppose 3*r**5 + 45*r**4 - 1299*r**3 + 5907*r**2 + 1296*r - 5952 = 0. What is r?
-31, -1, 1, 8
Let 85*s**4 - 480*s**3 - 180*s**2 = 0. What is s?
-6/17, 0, 6
Let -4*q**5 + 4*q**4 + 20*q**3 - 4*q**2 - 32*q - 16 = 0. Calculate q.
-1, 2
Factor -2*a**3/11 + 168*a**2 - 51744*a + 5312384.
-2*(a - 308)**3/11
Factor 2*x**2/11 + 232*x/11 + 678/11.
2*(x + 3)*(x + 113)/11
Solve -2*d**5/17 - 48*d**4/17 + 214*d**3/17 - 276*d**2/17 + 112*d/17 = 0.
-28, 0, 1, 2
Factor 2*y**2/5 + 36*y/5 - 38/5.
2*(y - 1)*(y + 19)/5
Factor -18*g**5 + 76*g**4 - 16*g**3.
-2*g**3*(g - 4)*(9*g - 2)
Factor 2*q**2/3 + 8*q/3 - 14.
2*(q - 3)*(q + 7)/3
What is p in 2*p**4/13 + 12*p**3/13 + 2*p**2 + 24*p/13 + 8/13 = 0?
-2, -1
Solve -4*u**4 + 64*u**3 - 168*u**2 + 160*u - 52 = 0.
1, 13
Let -5*u**2 + 3570*u - 637245 = 0. Calculate u.
357
Suppose 6*d**4 - 70*d**3 + 192*d**2 + 72*d = 0. Calculate d.
-1/3, 0, 6
Suppose z**5/5 - 3*z**4 - 67*z**3/5 + 311*z**2 - 3234*z/5 - 968 = 0. What is z?
-10, -1, 4, 11
Find y such that 2*y**2/5 - 1178*y/5 - 3552/5 = 0.
-3, 592
Let -a**2/4 + 3*a + 16 = 0. Calculate a.
-4, 16
Factor 2*w**3/3 - 104*w**2/3 + 890*w/3 - 700.
2*(w - 42)*(w - 5)**2/3
Find j such that 5*j**2/2 - 15*j/2 - 175 = 0.
-7, 10
Factor -2*p**2/17 + 488*p/17 - 29768/17.
-2*(p - 122)**2/17
Solve 2*h**3 - 12*h**2 - 494*h = 0.
-13, 0, 19
Suppose -5*g**2 - 605*g - 14520 = 0. Calculate g.
-88, -33
Determine k so that -2*k**2 - 292*k - 858 = 0.
-143, -3
Factor -3*i**4 + 1860*i**3.
-3*i**3*(i - 620)
Let a**4/4 - 9*a**3 + 405*a**2/4 - 675*a/2 = 0. Calculate a.
0, 6, 15
Find l, given that 2*l**4/15 - 82*l**3/15 - 52*l**2/3 - 176*l/15 = 0.
-2, -1, 0, 44
Suppose -5*y**4 + 35*y**3 - 20*y**2 - 60*y = 0. Calculate y.
-1, 0, 2, 6
Determine g, given that -2*g**4/9 + 80*g**3/9 - 400*g**2/3 + 8000*g/9 - 20000/9 = 0.
10
Factor h**2/4 + 379*h/4.
h*(h + 379)/4
Determine m so that 2*m**3/5 + 864*m**2/5 + 124416*m/5 + 5971968/5 = 0.
-144
Solve -3*p**2 - 627*p + 1266 = 0.
-211, 2
Factor 3362*i**2/7 + 1640*i/7 + 200/7.
2*(41*i + 10)**2/7
Suppose -4*u**3 + 152*u**2 + 316*u + 160 = 0. Calculate u.
-1, 40
Suppose -12*w**5 + 1224*w**4 - 2391*w**3 - 915*w**2 + 1494*w + 600 = 0. What is w?
-1/2, 1, 2, 100
Find b, given that -b**4/2 + 9*b**3 - 17*b**2/2 = 0.
0, 1, 17
Let -r**4/10 - 2*r**3/5 + 6*r**2/5 + 16*r/5 - 32/5 = 0. What is r?
-4, 2
Solve -4*m**5 + 84*m**4 - 144*m**3 - 1280*m**2 - 384*m + 1728 = 0 for m.
-2, 1, 6,