 21*c**3/2 + 171*c**2/4 - 54*c = 0 for c.
0, 3, 8
Find l, given that 3*l**5/4 + 21*l**4 + 579*l**3/4 - 123*l**2/2 - 399*l + 294 = 0.
-14, -2, 1
Factor -2*o**4/5 + 36*o**3/5 - 122*o**2/5 - 72*o - 40.
-2*(o - 10)**2*(o + 1)**2/5
Determine u so that -4805*u**5 - 8990*u**4 + 25245*u**3 + 25690*u**2 - 3620*u + 120 = 0.
-3, -1, 2/31, 2
Solve -4*d**2/3 + 112*d/3 - 100 = 0 for d.
3, 25
Factor -4*l**3 - 2144*l**2 - 287296*l.
-4*l*(l + 268)**2
Let 166*d**2/3 + d/3 = 0. Calculate d.
-1/166, 0
Suppose -13*u**4/3 + 739*u**3/3 + 298*u**2 - 1388*u/3 - 232/3 = 0. Calculate u.
-2, -2/13, 1, 58
Factor -3*a**5/5 + 36*a**4 - 639*a**3 + 3018*a**2 - 5508*a + 17496/5.
-3*(a - 27)**2*(a - 2)**3/5
Let -2*m**2/13 + 18*m/13 - 28/13 = 0. What is m?
2, 7
Find a such that 2*a**2 + 2744*a + 941192 = 0.
-686
Let 4*n**4 + 36*n**3 + 24*n**2 - 64*n = 0. Calculate n.
-8, -2, 0, 1
Factor -5*f**4 - 40*f**3 - 65*f**2 - 30*f.
-5*f*(f + 1)**2*(f + 6)
Factor 4*m**3/5 - 140*m**2 + 696*m/5.
4*m*(m - 174)*(m - 1)/5
Find b such that -3*b**4 + 45*b**3 - 111*b**2 - 261*b + 330 = 0.
-2, 1, 5, 11
Solve -2*d**5/17 + 30*d**4/17 + 40*d**3/17 - 120*d**2/17 - 128*d/17 = 0 for d.
-2, -1, 0, 2, 16
Determine i, given that -i**5/2 + 7*i**4/2 + 165*i**3/2 + 557*i**2/2 + 326*i + 126 = 0.
-7, -2, -1, 18
Factor -2*r**3/15 + 6*r**2 + 96*r/5.
-2*r*(r - 48)*(r + 3)/15
Determine h so that h**4/4 - h**3/4 - 3*h**2/4 + h/4 + 1/2 = 0.
-1, 1, 2
What is a in 9*a**5 + 246*a**4 + 1614*a**3 - 5544*a**2 - 56991*a + 39930 = 0?
-11, 2/3, 5
Find l such that -4*l**5 - 20*l**4 + 4*l**3 + 20*l**2 = 0.
-5, -1, 0, 1
Determine j so that 4*j**4 + 68*j**3 - 840*j**2 - 13568*j + 14336 = 0.
-16, 1, 14
Suppose -2*a**4 + 424*a**3/7 - 918*a**2/7 + 620*a/7 - 16 = 0. Calculate a.
2/7, 1, 28
What is x in -45*x**5 + 240*x**4 + 1840*x**3 + 2490*x**2 + 1085*x + 150 = 0?
-3, -1, -1/3, 10
Factor 5*h**3 - 350*h**2 - 3605*h + 3950.
5*(h - 79)*(h - 1)*(h + 10)
Let -y**2 - 71*y/2 - 35/2 = 0. Calculate y.
-35, -1/2
Factor -3*q**4 - 468*q**3 - 17292*q**2 + 74880*q - 76800.
-3*(q - 2)**2*(q + 80)**2
Factor -7*r**2/3 + 173*r/3 - 40.
-(r - 24)*(7*r - 5)/3
Suppose -3*q**3/7 - 54*q**2/7 + 117*q/7 - 60/7 = 0. What is q?
-20, 1
Let -2*c**3 + 16*c**2 + 40*c = 0. What is c?
-2, 0, 10
Factor u**2/3 - 116*u/3 - 39.
(u - 117)*(u + 1)/3
Suppose -16*h**2 - 164*h - 264 = 0. What is h?
-33/4, -2
Factor -5*a**4 - 260*a**3 + 3100*a**2.
-5*a**2*(a - 10)*(a + 62)
Find l such that -2*l**5/7 + 2*l**4 + 1714*l**3/7 + 17882*l**2/7 + 4384*l + 2072 = 0.
-14, -1, 37
Let -5*a**2 - 40*a - 75 = 0. Calculate a.
-5, -3
Suppose 2*l**2/9 - 418*l/9 + 416/9 = 0. Calculate l.
1, 208
Factor -40*t**4 + 365*t**3 - 45*t**2.
-5*t**2*(t - 9)*(8*t - 1)
Factor -2*o**2/3 - 364*o/3 + 496.
-2*(o - 4)*(o + 186)/3
Factor o**5/3 + 11*o**4/3 + 8*o**3.
o**3*(o + 3)*(o + 8)/3
What is z in -6*z**4 + 136*z**3 + 154*z**2/3 - 120*z - 184/3 = 0?
-2/3, 1, 23
What is f in -5*f**4/6 - 15*f**3 - 55*f**2/2 - 40*f/3 = 0?
-16, -1, 0
Factor -162*y**4/11 - 2034*y**3/11 + 928*y**2/11 - 104*y/11.
-2*y*(y + 13)*(9*y - 2)**2/11
What is k in -2*k**3/9 + 52*k**2/3 - 1352*k/3 + 35152/9 = 0?
26
Suppose -m**3 - 294*m**2 - 22464*m - 124416 = 0. Calculate m.
-144, -6
Factor -4*x**2 - 20*x + 24.
-4*(x - 1)*(x + 6)
Find d, given that 5*d**5 - 35*d**4 - 155*d**3 + 35*d**2 + 150*d = 0.
-3, -1, 0, 1, 10
Determine s so that 5*s**2/4 + 16365*s/4 + 4090 = 0.
-3272, -1
Let -8*f**3/11 - 146*f**2/11 + 284*f/11 + 80/11 = 0. Calculate f.
-20, -1/4, 2
Factor 2*z**4/3 + 53*z**3/3 + 26*z**2/3.
z**2*(z + 26)*(2*z + 1)/3
Factor -1748*y**2/7 - 1740*y/7 + 8/7.
-4*(y + 1)*(437*y - 2)/7
Factor 4*j**2 - 400*j + 10000.
4*(j - 50)**2
Solve t**4/6 + t**3/3 - 4*t**2/3 - 3*t - 3/2 = 0 for t.
-3, -1, 3
Let -4*f**2 + 664*f - 27556 = 0. What is f?
83
Factor 3*g**3/8 - 3*g**2/8 - 3*g + 9/2.
3*(g - 2)**2*(g + 3)/8
What is s in s**2 + 33*s = 0?
-33, 0
Let 2*v**3/5 - v**2 + v/5 + 2/5 = 0. Calculate v.
-1/2, 1, 2
Factor 4*w**4 - 80*w**3 - 1084*w**2 + 1160*w.
4*w*(w - 29)*(w - 1)*(w + 10)
Factor r**5 - 71*r**4 + 1413*r**3 - 5049*r**2 - 6534*r.
r*(r - 33)**2*(r - 6)*(r + 1)
Solve -4*v**5/3 - 12*v**4 - 32*v**3 - 64*v**2/3 = 0 for v.
-4, -1, 0
Suppose -9*h**2/4 - 599*h - 133 = 0. What is h?
-266, -2/9
Let -z**3/5 - 6*z**2 - 107*z/5 - 78/5 = 0. Calculate z.
-26, -3, -1
Factor u**3/4 + 19*u**2/2 - 165*u/4 + 63/2.
(u - 3)*(u - 1)*(u + 42)/4
Determine h, given that -3*h**3 + 15*h**2 - 9*h - 27 = 0.
-1, 3
Find x such that 3*x**4/8 + 1209*x**3/8 + 81405*x**2/4 + 1844979*x/2 + 902289 = 0.
-134, -1
Factor -3*u**2/2 + 9*u/2 - 3.
-3*(u - 2)*(u - 1)/2
Suppose -q**5 - 25*q**4 - 199*q**3 - 475*q**2 + 200*q + 500 = 0. Calculate q.
-10, -5, -1, 1
Factor 2*m**3/17 + 178*m**2/17 - 548*m/17 + 368/17.
2*(m - 2)*(m - 1)*(m + 92)/17
Find n, given that 2*n**2/3 + 344*n/3 + 14792/3 = 0.
-86
Let -3*c**2 - 2322*c - 449307 = 0. What is c?
-387
Factor n**3 + 115*n**2 + 338*n + 224.
(n + 1)*(n + 2)*(n + 112)
Suppose -d**3 - 600*d**2 - 91188*d - 355216 = 0. What is d?
-298, -4
Let -5*j**2 + 145*j = 0. What is j?
0, 29
Factor 3*c**2 + 81*c + 78.
3*(c + 1)*(c + 26)
Factor -16*v**3 + 452*v**2 - 544*v + 108.
-4*(v - 27)*(v - 1)*(4*v - 1)
Factor 2*k**4 + 26*k**3 + 12*k**2 - 704*k - 1280.
2*(k - 5)*(k + 2)*(k + 8)**2
Let 3*q**2 - 51*q + 156 = 0. Calculate q.
4, 13
Let y**3/7 + 102*y**2/7 = 0. Calculate y.
-102, 0
Find n such that 3*n**5/7 - 30*n**4/7 - 261*n**3/7 - 444*n**2/7 + 156*n/7 + 576/7 = 0.
-3, -2, 1, 16
Find r such that -9*r**2/2 + 429*r/2 - 141 = 0.
2/3, 47
Determine p so that 2*p**4 + 2*p**3 = 0.
-1, 0
Suppose -2*k**4/5 - 2*k**3/5 + 34*k**2/5 + 42*k/5 - 72/5 = 0. What is k?
-3, 1, 4
Factor -3*a**2 - 18*a.
-3*a*(a + 6)
Suppose -5*o**3 - 275*o**2 - 3640*o + 3920 = 0. Calculate o.
-28, 1
Suppose t**3/3 - 3*t**2 - 25*t/3 + 11 = 0. Calculate t.
-3, 1, 11
Solve -5*o**3 + 85*o**2 + 3420*o = 0 for o.
-19, 0, 36
Factor 2*z**3/3 - 3046*z**2/3 + 386080*z + 387096.
2*(z - 762)**2*(z + 1)/3
Solve 4*n**4 + 128*n**3 + 1020*n**2 - 128*n - 1024 = 0 for n.
-16, -1, 1
Determine w, given that -14*w**5/3 + 428*w**4 + 382*w**3/3 - 428*w**2 - 368*w/3 = 0.
-1, -2/7, 0, 1, 92
Factor 6728*x**2/15 + 1160*x + 750.
2*(58*x + 75)**2/15
Solve -5*f**2/3 + 150*f - 3375 = 0 for f.
45
Suppose 2*y**5/9 + 20*y**4/9 + 76*y**3/9 + 136*y**2/9 + 38*y/3 + 4 = 0. What is y?
-3, -2, -1
Factor 3*g**3/8 + 3*g**2/4 - 297*g/8.
3*g*(g - 9)*(g + 11)/8
Suppose -2*k**5/5 + 56*k**4/5 - 536*k**3/5 + 1836*k**2/5 - 486*k/5 - 2916/5 = 0. What is k?
-1, 2, 9
Suppose -4*r**4/7 - 205*r**3/7 - 2547*r**2/7 + 2080*r/7 + 676/7 = 0. What is r?
-26, -1/4, 1
Determine o so that 4*o**4/15 - 34*o**3/15 + 38*o**2/15 + 34*o/15 - 14/5 = 0.
-1, 1, 3/2, 7
Find m such that -4*m**4/5 - 12*m**3/5 + 84*m**2 + 620*m + 1200 = 0.
-5, 12
Factor -3*k**3/2 - 54*k**2 - 477*k/2 - 186.
-3*(k + 1)*(k + 4)*(k + 31)/2
Determine i, given that 2*i**2/3 - 1408*i/3 + 247808/3 = 0.
352
Determine i so that -5*i**3 - 2040*i**2 - 4065*i - 2030 = 0.
-406, -1
Suppose -4*l**4 + 28*l**2 + 24*l = 0. Calculate l.
-2, -1, 0, 3
Determine p so that -4*p**5 - 48*p**4 - 200*p**3 - 288*p**2 + 108*p + 432 = 0.
-4, -3, 1
Find r, given that -2*r**4 - 2*r**3 + 298*r**2 + 858*r = 0.
-11, -3, 0, 13
Solve -5*z**4 + 60*z**3 + 135*z**2 + 70*z = 0 for z.
-1, 0, 14
Solve 25*j**3 + 940*j**2 - 2380*j + 800 = 0.
-40, 2/5, 2
Let d**2 + 2*d - 15 = 0. What is d?
-5, 3
Factor -3*c**4/5 - 348*c**3/5 - 14652*c**2/5 - 52896*c - 346560.
-3*(c + 20)**2*(c + 38)**2/5
Let -3*v**4 - 18*v**3 - 27*v**2 + 12*v + 36 = 0. What is v?
-3, -2, 1
Determine f so that -f**2/3 + 98*f - 7203 = 0.
147
Solve x**2/11 - 228*x/11 + 675/11 = 0.
3, 225
Factor 2*c**2 + 405*c/2 + 101/2.
(c + 101)*(4*c + 1)/2
Factor -5*s**4 - 195*s**3 - 1085*s**2 + 16215*s - 26450.
-5*(s - 5)*(s - 2)*(s + 23)**2
Suppose 10*h**2 + 66*h - 288 = 0. What is h?
-48/5, 3
What is m in 3*m**3/4 + 51*m**2/2 + 795*m/4 + 450 = 0?
-24, -5
Factor -4*h**3 + 56*h**2 - 140*h + 88.
-4*(h - 11)*(h - 2)*(h - 1)
Suppose -3*l**5 + 786*l**4 - 68904*l**3 + 2043630*l**2 - 1975509*l = 0. Calculate l.
0, 1, 87
What is o in -2*o**4/5 + 14*o**3/5 + 36*o**2/5 - 176*o/5 + 128/5 = 0?
-4, 1, 2, 8
Let -4*j**4 + 71*j**3 - 371*j**2 + 496*j - 192 = 0. Calculate j.
3/4, 1, 8
Factor -n**4/3 + 10*n**3/3 - 16*n**2/3.
-n**2*(n - 8)*(n - 2)/3
Factor n**3/6 + 35*n**2/6 + 76*n/3 - 616/3.
(n - 4)*(n