 -b**3 + 994*b**2 + 1991*b + 996.
-(b - 996)*(b + 1)**2
Factor 4*n**4 + 104*n**3 + 560*n**2 - 1568*n.
4*n*(n - 2)*(n + 14)**2
Solve 8*z**2 + 607*z - 76 = 0.
-76, 1/8
Suppose 5*s**3 + 15000*s**2 = 0. Calculate s.
-3000, 0
Factor -33*p**2 + 930*p - 168.
-3*(p - 28)*(11*p - 2)
Let -2*i**5/9 - 4*i**4/9 + 10*i**3/3 - 8*i**2/9 - 40*i/9 = 0. Calculate i.
-5, -1, 0, 2
Find d such that -d**5/2 + 59*d**4/2 - 839*d**3/2 - 959*d**2/2 + 420*d + 450 = 0.
-1, 1, 30
Find h such that 4*h**3 - 1228*h**2 + 3648*h = 0.
0, 3, 304
Factor 38*n**3/3 + 158*n**2/3 + 46*n + 6.
2*(n + 1)*(n + 3)*(19*n + 3)/3
Determine s so that 3*s**3/8 - 33*s**2/8 + 57*s/8 - 27/8 = 0.
1, 9
Factor -l**3/4 + 3*l**2/4 + 13*l/4 - 15/4.
-(l - 5)*(l - 1)*(l + 3)/4
Determine j, given that -5*j**2 + 1385*j + 5620 = 0.
-4, 281
Let 2*i**3/19 - 2*i**2/19 - 12*i/19 = 0. Calculate i.
-2, 0, 3
Factor 9*c**2/4 + 19*c/4 + 1/2.
(c + 2)*(9*c + 1)/4
Factor -5*t**4 - 255*t**3 + 265*t**2 + 255*t - 260.
-5*(t - 1)**2*(t + 1)*(t + 52)
Factor -33*n**3 - 120*n**2 + 69*n + 84.
-3*(n - 1)*(n + 4)*(11*n + 7)
Suppose y**3 - 11*y**2 + 23*y + 35 = 0. What is y?
-1, 5, 7
Solve 7*x**3/3 + 55*x**2/3 - 71*x/3 + 3 = 0 for x.
-9, 1/7, 1
Find i such that -10*i**3/3 - 55*i**2/6 - 25*i/6 + 5/3 = 0.
-2, -1, 1/4
Suppose 3*m**2 - 2628*m + 575532 = 0. Calculate m.
438
Factor 2*w**5/11 + 124*w**4/11 + 354*w**3/11.
2*w**3*(w + 3)*(w + 59)/11
Let -3*g**4 - 18*g**3 + 57*g**2 + 72*g = 0. Calculate g.
-8, -1, 0, 3
Let 30*t**3 - 65*t**2 + 35*t = 0. Calculate t.
0, 1, 7/6
Factor 4*i**5 - 24*i**4 - 4*i**3 + 24*i**2.
4*i**2*(i - 6)*(i - 1)*(i + 1)
Suppose 2*m**2/15 - 10*m/3 - 124/5 = 0. Calculate m.
-6, 31
Let 2*d**2/7 - 1552*d/7 = 0. Calculate d.
0, 776
Factor -8*w**3 - 3*w**2/2.
-w**2*(16*w + 3)/2
Let l**3/2 + 2*l**2 - 41*l/2 + 18 = 0. Calculate l.
-9, 1, 4
Factor -2*c**2 + 4*c.
-2*c*(c - 2)
Factor -o**3 - 50*o**2 - 313*o - 516.
-(o + 3)*(o + 4)*(o + 43)
Solve -5*x**5 - 180*x**4 + 1060*x**3 + 1410*x**2 - 1055*x - 1230 = 0 for x.
-41, -1, 1, 6
What is i in 36*i**5 - 123*i**4 - 63*i**3/2 + 471*i**2 - 450*i + 84 = 0?
-2, 1/4, 7/6, 2
Solve 5*p**2 - 1425*p - 1430 = 0 for p.
-1, 286
Factor u**3 - 4092*u**2 + 5581488*u - 2537716544.
(u - 1364)**3
Determine c so that 4*c**5 - 44*c**4 + 192*c**3 - 416*c**2 + 448*c - 192 = 0.
2, 3
Determine f so that f**3/8 - 3*f**2 + 45*f/8 - 11/4 = 0.
1, 22
Suppose w**3 + 513*w**2 + 87723*w + 5000211 = 0. What is w?
-171
Determine y, given that 4*y**3/3 + 1252*y**2/3 + 32864*y + 32448 = 0.
-156, -1
Factor m**5/3 - m**4/3 - m**3 + 5*m**2/3 - 2*m/3.
m*(m - 1)**3*(m + 2)/3
Factor -4*z**3 - 24*z**2 - 20*z + 48.
-4*(z - 1)*(z + 3)*(z + 4)
Let 2*n**2/21 + 96*n/7 + 3456/7 = 0. What is n?
-72
Factor -3705*c**3 - 14823*c**2 - 14832*c - 12.
-3*(c + 2)**2*(1235*c + 1)
Suppose -5*z**4 - 910*z**3 - 35585*z**2 + 529620*z - 1693620 = 0. Calculate z.
-97, 6
Factor p**2/2 - 7*p/2 - 4.
(p - 8)*(p + 1)/2
Factor 3*j**3 + 25*j**2/3 - 425*j/3 - 1625/3.
(j + 5)**2*(9*j - 65)/3
Factor -l**5 + 3*l**4 + 24*l**3 + 28*l**2.
-l**2*(l - 7)*(l + 2)**2
Factor -2*v**3/7 - 46*v**2/7 - 124*v/7 - 80/7.
-2*(v + 1)*(v + 2)*(v + 20)/7
Factor -2*q**3/5 + 52*q**2/5 - 378*q/5 + 144.
-2*(q - 15)*(q - 8)*(q - 3)/5
Let k**3/3 - 7*k**2 = 0. What is k?
0, 21
Let -a**4 + 23*a**3 - 118*a**2 + 96*a = 0. Calculate a.
0, 1, 6, 16
Let -2*x**2/5 - 6*x/5 = 0. Calculate x.
-3, 0
Let 9*a**4 + 15*a**3 - 15*a**2 - 15*a + 6 = 0. What is a?
-2, -1, 1/3, 1
Factor 2*j**3/19 - 480*j**2/19 + 38400*j/19 - 1024000/19.
2*(j - 80)**3/19
Suppose -45*x**3 + 50*x**2 + 215*x + 120 = 0. Calculate x.
-1, -8/9, 3
Suppose j**4/6 - 7*j**3/6 - 9*j**2/2 - 29*j/6 - 5/3 = 0. Calculate j.
-1, 10
Determine n, given that -2*n**2/19 + 18*n/19 - 28/19 = 0.
2, 7
Factor -3*z**2 + 417*z + 420.
-3*(z - 140)*(z + 1)
Factor 5*g**3 - 3335*g**2 + 554440*g + 557780.
5*(g - 334)**2*(g + 1)
Factor -2*q**5/3 + 50*q**4/3 - 176*q**3/3 + 56*q**2.
-2*q**2*(q - 21)*(q - 2)**2/3
Factor 5*d**2 - 650*d - 4080.
5*(d - 136)*(d + 6)
Suppose -2*s**3/11 + 526*s**2/11 + 1058*s/11 + 530/11 = 0. What is s?
-1, 265
Determine z, given that 2*z**4/15 + 66*z**3/5 - 1024*z**2/15 + 552*z/5 - 832/15 = 0.
-104, 1, 2
Factor 2*q**5 - 54*q**3 - 108*q**2.
2*q**2*(q - 6)*(q + 3)**2
Solve -2*j**5/3 + 2*j**3 + 4*j**2/3 = 0.
-1, 0, 2
What is w in -w**3 - 313*w**2 - 623*w - 311 = 0?
-311, -1
Determine m, given that 2*m**2/3 + 24*m + 70/3 = 0.
-35, -1
Solve -y**5/8 + 5*y**4/4 - 7*y**3/4 - 11*y**2 + 183*y/8 - 45/4 = 0.
-3, 1, 5, 6
Factor -5*n**5 - 5*n**4 + 15*n**3 + 25*n**2 + 10*n.
-5*n*(n - 2)*(n + 1)**3
Factor x**4/2 - 15*x**3/2 - x**2/2 + 15*x/2.
x*(x - 15)*(x - 1)*(x + 1)/2
Suppose h**3 - 126*h**2 + 3840*h + 8192 = 0. Calculate h.
-2, 64
Factor -2*o**2/7 + 6284*o/7 - 4936082/7.
-2*(o - 1571)**2/7
Factor 3*f**4 - 54*f**3 - 3*f**2 + 54*f.
3*f*(f - 18)*(f - 1)*(f + 1)
Factor -2*i**2/5 - 214*i/5 + 368.
-2*(i - 8)*(i + 115)/5
Factor -2*k**2/17 - 84*k/17 + 176/17.
-2*(k - 2)*(k + 44)/17
Factor -2*a**2 - 132*a - 130.
-2*(a + 1)*(a + 65)
Factor 4*i**5 - 36*i**3 - 16*i**2 + 48*i.
4*i*(i - 3)*(i - 1)*(i + 2)**2
Suppose -2*m**5 - 66*m**4 + 1020*m**3 - 2644*m**2 + 2502*m - 810 = 0. Calculate m.
-45, 1, 9
Factor 3*v**2 + 810*v + 54675.
3*(v + 135)**2
Factor s**5 + 36*s**4 - 115*s**3 + 78*s**2.
s**2*(s - 2)*(s - 1)*(s + 39)
Factor 3*q**5 - 9*q**4 - 69*q**3 - 99*q**2 - 42*q.
3*q*(q - 7)*(q + 1)**2*(q + 2)
Suppose -2*l**3/3 - 32*l**2 - 312*l + 5408/3 = 0. What is l?
-26, 4
Factor -51*w**2 - 93*w + 18.
-3*(w + 2)*(17*w - 3)
Factor -3*f**2/8 + 189*f/4 + 381/8.
-3*(f - 127)*(f + 1)/8
Solve 2*f**5 - 4*f**4 - 102*f**3 + 184*f**2 + 1240*f - 2400 = 0.
-5, 2, 4, 6
Suppose -m**3/6 - 16*m**2/3 - 55*m/2 - 39 = 0. What is m?
-26, -3
Let 21*t**5 - 2099*t**4 + 11860*t**3/3 + 18992*t**2/3 + 1984*t/3 - 784 = 0. Calculate t.
-2/3, 2/7, 3, 98
Solve z**4/6 - 5*z**3/2 - 17*z**2/3 = 0.
-2, 0, 17
What is o in -2*o**5/9 + 2*o**4/3 + 8*o**3/9 = 0?
-1, 0, 4
Factor 4*y**4/3 + 128*y**3/3 - 4*y**2/3 - 128*y/3.
4*y*(y - 1)*(y + 1)*(y + 32)/3
Determine g so that -g**2 - 36*g + 37 = 0.
-37, 1
Let -5*k**2 + 281*k/4 - 7/2 = 0. What is k?
1/20, 14
Factor -f**4/11 - 56*f**3/11 - 162*f**2/11 - 160*f/11 - 53/11.
-(f + 1)**3*(f + 53)/11
Suppose -3*n**4 + 81*n**3 - 129*n**2 - 6885*n + 6936 = 0. Calculate n.
-8, 1, 17
Find i, given that -i**3 - 690*i**2 - 116217*i + 974408 = 0.
-349, 8
Find q such that 2*q**3 - 398*q - 780 = 0.
-13, -2, 15
Solve 2*h**4 + 126*h**3/5 + 208*h**2/5 - 504*h/5 + 32 = 0 for h.
-10, -4, 2/5, 1
Suppose -k**5/4 + 7*k**3/4 - 3*k**2/2 = 0. Calculate k.
-3, 0, 1, 2
Let -n**2/8 + 1909*n/4 - 3644281/8 = 0. Calculate n.
1909
Find b, given that b**2/7 + 1384*b/7 + 478864/7 = 0.
-692
Factor 4*l**2 - 984*l + 60516.
4*(l - 123)**2
Factor -6*b**3 + 1827*b**2 - 1821*b.
-3*b*(b - 1)*(2*b - 607)
Factor -4*d**3/9 + 16*d**2/9 + 28*d/9 - 40/9.
-4*(d - 5)*(d - 1)*(d + 2)/9
Factor -100*v**3 + 2380*v**2 - 1856*v + 368.
-4*(v - 23)*(5*v - 2)**2
Factor 90*o**3 + 175*o**2 - 730*o + 40.
5*(o - 2)*(o + 4)*(18*o - 1)
Factor -13*a**3/4 - 15*a**2/4 + 19*a + 3.
-(a - 2)*(a + 3)*(13*a + 2)/4
Factor -2*k**2/7 - 88*k/7 + 90/7.
-2*(k - 1)*(k + 45)/7
Solve 2*a**2 + 26*a - 280 = 0.
-20, 7
Factor x**2/3 + 42*x + 125/3.
(x + 1)*(x + 125)/3
Find i, given that -5*i**4 - 175*i**3 + 760*i**2 - 780*i = 0.
-39, 0, 2
Factor -2*k**3/13 - 64*k**2/13 - 330*k/13 - 36.
-2*(k + 3)**2*(k + 26)/13
Factor j**3/3 - 19*j**2/3 - 4*j/3 + 76/3.
(j - 19)*(j - 2)*(j + 2)/3
Factor -3*h**4 + 6*h**3 + 9*h**2.
-3*h**2*(h - 3)*(h + 1)
Factor 2*y**3/5 + 2*y**2 - 72*y/5.
2*y*(y - 4)*(y + 9)/5
Solve -80*i**3 - 1644*i**2 + 2160*i - 436 = 0.
-109/5, 1/4, 1
Let -5*h**3/4 + 105*h**2/2 - 595*h/4 + 195/2 = 0. What is h?
1, 2, 39
What is b in 2*b**2/5 - 3*b/5 - 9/5 = 0?
-3/2, 3
What is p in -p**2 + 3469*p = 0?
0, 3469
Let 1458*y**5/13 + 6804*y**4/13 - 2214*y**3/13 - 56360*y**2/13 - 96800*y/13 - 48000/13 = 0. What is y?
-20/9, -1, 3
Factor -5*u**3 - 240*u**2 - 3105*u - 12150.
-5*(u + 9)**2*(u + 30)
Factor -3*l**2/7 + 180*l/7 - 513/7.
-3*(l - 57)*(l - 3)/7
Solve -u**3/7 + 3*u**2/7 + 6*u/7 - 8/7 = 0 for u.
-2, 1, 4
Factor -5*u**4 - 155*u**3 - 1410*u**2 - 3220*u - 1960.
-5*(u + 1)*(u + 2)*(u + 14)**2
Let -5*p**5 - 5*p**4 + 50*p**3 + 50*p**2 - 45*p - 45 = 0. Calculate p.
-3, -1, 1, 3
Solve -3*b**3/7 + 33*b**2/7 - 96*b/7 + 12 = 0.
2, 7
Determine