 that -3*c**3 + 24*c**2 - 45*c = 0.
0, 3, 5
Find g such that -169*g**3 - 858*g**2 + 900*g - 216 = 0.
-6, 6/13
Find l, given that 2*l**3/3 + 4*l**2 - 14*l/3 = 0.
-7, 0, 1
Determine n, given that n**3/3 - 133*n**2/3 - 136*n = 0.
-3, 0, 136
Factor -q**3/7 + q**2/7 + 25*q/7 - 25/7.
-(q - 5)*(q - 1)*(q + 5)/7
Find d such that 2*d**2/3 + 812*d/3 + 1072 = 0.
-402, -4
Factor 3*p**3 + 21*p**2 + 21*p - 45.
3*(p - 1)*(p + 3)*(p + 5)
Find c such that 4*c**2/9 + 52*c/9 + 40/3 = 0.
-10, -3
Suppose -3*g**3/4 + 81*g**2/2 + 270*g = 0. What is g?
-6, 0, 60
Factor -2*n**2 - 7532*n - 7091378.
-2*(n + 1883)**2
Let -45*g**4 - 35*g**3 + 100*g**2 - 20*g = 0. What is g?
-2, 0, 2/9, 1
Let -2*d**4/17 + 10*d**3/17 + 12*d**2/17 - 64*d/17 - 64/17 = 0. What is d?
-2, -1, 4
Factor -i**2 - 8*i + 9.
-(i - 1)*(i + 9)
Let 30*n**2 + 454*n/3 + 20/3 = 0. What is n?
-5, -2/45
Factor -4*q**3/11 - 426*q**2/11 + 430*q/11.
-2*q*(q - 1)*(2*q + 215)/11
Factor -y**3 + 16*y**2 + 55*y + 38.
-(y - 19)*(y + 1)*(y + 2)
Let 27*d**5 + 1275*d**4 + 201*d**3 - 3771*d**2 + 1704*d + 564 = 0. What is d?
-47, -2, -2/9, 1
Factor 2*r**3 - 813*r**2 + 82008*r + 124848.
(r - 204)**2*(2*r + 3)
Factor 4*s**2 - 96*s + 92.
4*(s - 23)*(s - 1)
Factor -2*d**5 - 311*d**4 - 155*d**3.
-d**3*(d + 155)*(2*d + 1)
Solve 5*i**3 - 30*i**2 + 15*i + 50 = 0 for i.
-1, 2, 5
Factor 5*r**2 + 210*r - 215.
5*(r - 1)*(r + 43)
Factor 3*b**4/5 + 6*b**3/5 - 24*b**2/5 - 54*b/5 - 27/5.
3*(b - 3)*(b + 1)**2*(b + 3)/5
Factor -5*h**3 - 25*h**2 + 5*h + 25.
-5*(h - 1)*(h + 1)*(h + 5)
Find x, given that -2*x**4/23 - 56*x**3/23 - 332*x**2/23 + 840*x/23 - 450/23 = 0.
-15, 1
Factor -4*u**4/3 - 152*u**3/3 - 96*u**2.
-4*u**2*(u + 2)*(u + 36)/3
Factor 2*q**4/3 - 4*q**3/3 - 2*q**2 + 16*q/3 - 8/3.
2*(q - 2)*(q - 1)**2*(q + 2)/3
Determine s so that s**5/3 - 10*s**4/3 + 13*s**3/3 + 32*s**2/3 - 68*s/3 + 32/3 = 0.
-2, 1, 2, 8
Suppose 3*f**5/2 - 201*f**4 + 594*f**3 - 591*f**2 + 393*f/2 = 0. Calculate f.
0, 1, 131
What is v in -v**2 - 91*v - 90 = 0?
-90, -1
Factor g**2 + 589*g - 590.
(g - 1)*(g + 590)
Factor o**5 + 18*o**4 - 43*o**3 - 56*o**2 + 84*o + 80.
(o - 2)**2*(o + 1)**2*(o + 20)
Factor i**2/2 + 16*i.
i*(i + 32)/2
Find p, given that -2*p**2/5 - 2*p/5 = 0.
-1, 0
Factor -3*y**2 + 246*y.
-3*y*(y - 82)
Let 16*d**5 + 628*d**4 + 7564*d**3 + 27148*d**2 + 24820*d + 4624 = 0. What is d?
-17, -4, -1, -1/4
Determine t, given that t**4 - 27*t**3/4 + 25*t**2/2 - 6*t = 0.
0, 3/4, 2, 4
Factor 56*n**3 + 1180*n**2 + 3108*n + 216.
4*(n + 3)*(n + 18)*(14*n + 1)
What is m in -2*m**5/9 - 82*m**4/9 - 50*m**3/3 + 26*m**2 = 0?
-39, -3, 0, 1
Factor -4*c**2 - 256*c - 4096.
-4*(c + 32)**2
Find w such that -2*w**4/5 - 4*w**3/5 + 54*w**2/5 - 104*w/5 + 56/5 = 0.
-7, 1, 2
Suppose 4*k**2 + 2124*k + 4232 = 0. Calculate k.
-529, -2
What is v in 2*v**2/15 + 40*v/3 + 66/5 = 0?
-99, -1
Solve h**2/4 - 3*h/2 - 4 = 0.
-2, 8
Find r such that r**5/5 + 2*r**4/5 - 36*r**3/5 + 86*r**2/5 - 77*r/5 + 24/5 = 0.
-8, 1, 3
Factor 3721*c**3/2 - 63135*c**2/2 - 2073*c/2 - 17/2.
(c - 17)*(61*c + 1)**2/2
Solve 2*j**3/5 - 92*j**2/5 = 0.
0, 46
Factor 12*p**2 + 280*p + 92.
4*(p + 23)*(3*p + 1)
Factor 5*o**3 + 205*o**2 + 190*o - 400.
5*(o - 1)*(o + 2)*(o + 40)
What is f in -2*f**3 - 168*f**2 - 4704*f - 43904 = 0?
-28
Factor 2*k**2 - 400*k + 20000.
2*(k - 100)**2
Solve 3*k**2 - 48*k + 144 = 0.
4, 12
Determine a so that -405*a**5 + 3195*a**4 - 8675*a**3 + 9605*a**2 - 4440*a + 720 = 0.
4/9, 1, 3
Factor 12*d**3 - 76*d**2 + 104*d.
4*d*(d - 2)*(3*d - 13)
Solve -10*q**3 + 115*q**2/3 + 75*q - 250/3 = 0.
-2, 5/6, 5
Factor d**2/6 - 22*d + 726.
(d - 66)**2/6
Solve 4*v**4/7 - 108*v**3/7 - 2992*v**2/7 = 0.
-17, 0, 44
Factor -2*h**5 - 62*h**4 + 130*h**3 - 66*h**2.
-2*h**2*(h - 1)**2*(h + 33)
Solve 2*x**2/3 + 20*x/3 + 6 = 0 for x.
-9, -1
Find m, given that -4*m**5 - 40*m**4 - 64*m**3 + 8*m**2 + 68*m + 32 = 0.
-8, -1, 1
Let -5*m**3 - 245*m**2 - 2715*m - 2475 = 0. What is m?
-33, -15, -1
Factor -2*s**2 + 526*s + 528.
-2*(s - 264)*(s + 1)
Determine u so that 2*u**4/19 - 2*u**3/19 - 2*u**2/19 + 2*u/19 = 0.
-1, 0, 1
Determine z, given that 1507142*z**3/19 + 3577392*z**2/19 + 2830464*z/19 + 746496/19 = 0.
-72/91
Solve -5*z**2 - 754*z - 600 = 0 for z.
-150, -4/5
Let 2*m**3 + 92*m**2 - 606*m + 936 = 0. Calculate m.
-52, 3
Factor -o**2/7 + 86*o/7 - 1849/7.
-(o - 43)**2/7
Find o such that -16*o**4 - 728*o**3 + 1116*o**2 - 562*o + 94 = 0.
-47, 1/2
Suppose -5*r**3/2 - 14*r**2 + 47*r/2 - 7 = 0. Calculate r.
-7, 2/5, 1
Factor -3*b**2/4 + 48*b - 189/4.
-3*(b - 63)*(b - 1)/4
Let i**5 - 79*i**4/5 - 21*i**3/5 + 79*i**2/5 + 16*i/5 = 0. What is i?
-1, -1/5, 0, 1, 16
Factor -2*k**2 + 116*k - 1682.
-2*(k - 29)**2
Factor 15*i**3 - 639*i**2 - 1647*i + 1215.
3*(i - 45)*(i + 3)*(5*i - 3)
Factor 3*x**5 + 45*x**4 + 222*x**3 + 378*x**2 - 81*x - 567.
3*(x - 1)*(x + 3)**3*(x + 7)
Solve 45*o**5 + 96*o**4 - 123*o**3 - 198*o**2 + 156*o + 24 = 0.
-2, -2/15, 1
Solve -5*t**3 + 1100*t**2 - 4320*t = 0 for t.
0, 4, 216
Solve w**3/2 - 7*w**2/2 + 7*w - 4 = 0 for w.
1, 2, 4
What is w in -w**2/2 - 71*w - 780 = 0?
-130, -12
Factor 5*j**2 - 75*j + 180.
5*(j - 12)*(j - 3)
Let -u**3/8 + 15*u**2/8 - 33*u/4 + 10 = 0. Calculate u.
2, 5, 8
Factor 2*m**3 + 4*m**2 - 16*m.
2*m*(m - 2)*(m + 4)
Factor -5*i**3/4 + 5*i**2/2.
-5*i**2*(i - 2)/4
Let 3*n**3 - 24*n**2 + 63*n - 54 = 0. Calculate n.
2, 3
Solve 4*v**2/5 - 1468*v/5 = 0.
0, 367
Factor -3*v**3/2 - v**2/2 + v.
-v*(v + 1)*(3*v - 2)/2
Factor 2*q**2/9 + 502*q/9 - 2288/3.
2*(q - 13)*(q + 264)/9
Factor -4*u**4 + 44*u**3 + 872*u**2 + 2112*u.
-4*u*(u - 22)*(u + 3)*(u + 8)
Find v, given that -3*v**3/2 - 21*v**2/2 + 147*v = 0.
-14, 0, 7
What is b in -5*b**2 - 4030*b - 812045 = 0?
-403
Factor -6750*r**4 + 333450*r**3 - 132660*r**2 + 17656*r - 784.
-2*(r - 49)*(15*r - 2)**3
Factor -2*w**4/5 - 6*w**3/5 - 6*w**2/5 - 2*w/5.
-2*w*(w + 1)**3/5
Determine x so that -2*x**2/9 + 134*x/9 = 0.
0, 67
Factor -20*h**3 + 275*h**2 - 910*h - 245.
-5*(h - 7)**2*(4*h + 1)
Find s, given that -s**2 - 86*s - 168 = 0.
-84, -2
Determine p so that -8*p**4/3 - 34*p**3/3 + 32*p**2/3 + 10*p/3 = 0.
-5, -1/4, 0, 1
Factor -2*k**4 + 24*k**3 + 84*k**2 + 88*k + 30.
-2*(k - 15)*(k + 1)**3
Suppose 961*z**2/3 + 8184*z + 52272 = 0. What is z?
-396/31
Factor o**2/3 + 92*o/3 + 2116/3.
(o + 46)**2/3
Factor 3*f**3 + 965*f**2/3 + 8152*f/3 + 588.
(f + 9)*(f + 98)*(9*f + 2)/3
Factor 2*g**3 - 1102*g**2 - 4432*g - 4440.
2*(g - 555)*(g + 2)**2
Factor 1930*q**2 + 1938*q + 8.
2*(q + 1)*(965*q + 4)
Factor -5*n**3 - 125*n**2 + 140*n + 260.
-5*(n - 2)*(n + 1)*(n + 26)
Find p, given that -2*p**5/3 + 14*p**4 + 572*p**3/3 + 1508*p**2/3 - 190*p - 1550/3 = 0.
-5, -1, 1, 31
Factor 3*h**5/4 - 33*h**4/4 + 36*h**3 - 78*h**2 + 84*h - 36.
3*(h - 3)*(h - 2)**4/4
What is m in -m**4/2 + 8823*m**3/2 - 25948443*m**2/2 + 25438123621*m/2 = 0?
0, 2941
Solve -f**5/7 + 4*f**4/7 + 61*f**3/7 - 4*f**2/7 - 60*f/7 = 0.
-6, -1, 0, 1, 10
Suppose -5*d**3 - 40*d**2 - 35*d = 0. Calculate d.
-7, -1, 0
Solve -y**5 + 19*y**4 + 23*y**3 - 59*y**2 - 22*y + 40 = 0.
-2, -1, 1, 20
Determine c, given that c**4/4 - c**3/4 - 5*c**2/2 - 2*c = 0.
-2, -1, 0, 4
Factor -4*v**2 - 576*v - 20736.
-4*(v + 72)**2
Find y, given that 10*y**2/7 - 26*y/7 - 12/7 = 0.
-2/5, 3
Suppose 3*b**5 - 33*b**4 + 78*b**3 - 48*b**2 = 0. Calculate b.
0, 1, 2, 8
Suppose -d**4/3 + 8*d**3/3 + 76*d**2/3 + 112*d/3 = 0. Calculate d.
-4, -2, 0, 14
Factor 2*f**2/3 - 274*f - 824/3.
2*(f - 412)*(f + 1)/3
Solve -4*t**2/7 + 856*t/7 - 45796/7 = 0 for t.
107
Let -9*l**3/2 - 96*l**2 + 131*l/2 - 11 = 0. Calculate l.
-22, 1/3
Factor -9*t**4 - 21*t**3 - 15*t**2 - 3*t.
-3*t*(t + 1)**2*(3*t + 1)
What is o in -4*o**3/3 - 58*o**2/3 + 1072*o/3 + 550/3 = 0?
-25, -1/2, 11
Factor -2*n**4 + 26*n**3/5 - 22*n**2/5 + 6*n/5.
-2*n*(n - 1)**2*(5*n - 3)/5
Factor l**3 - 70*l**2 + 1353*l - 4356.
(l - 33)**2*(l - 4)
Factor -4*i**2/7 - 436*i.
-4*i*(i + 763)/7
Factor -4*p**4 + 20*p**3 - 28*p**2 + 12*p.
-4*p*(p - 3)*(p - 1)**2
Let -3*z**5 - 15*z**4 + 87*z**3 + 111*z**2 - 84*z - 96 = 0. What is z?
-8, -1, 1, 4
Let -9*u**3 + 840*u**2 + 4092*u + 2352 = 0. Calculate u.
-4, -2/3, 98
Factor 4*n**4 + 1912*n**3 + 230384*n**2 + 453152*n.
4*n*(n + 2)*(n + 238)**2
Factor -y**4/4 - 67*y**3/4 - 1155*y**2/4 - 1089*y/4.
-y*(y + 1)*(y + 33)**2/4
Factor -2*s**2/7 + 5408*s/21 + 3608/21.
-2*(s - 902)*(3*s + 2)/21
F