030*c**4 + 325945*c**3/2 + 15115*c**2 + 430*c + 4.
(c - 1)**2*(73*c + 2)**3/2
Factor -5*m**3 - 85*m**2 + 1405*m + 1485.
-5*(m - 11)*(m + 1)*(m + 27)
Factor 2*b**2/23 + 182*b/23.
2*b*(b + 91)/23
Solve -6*y**5 + 8*y**4 + 26*y**3 - 36*y**2 - 8*y + 16 = 0.
-2, -2/3, 1, 2
Let 5*n**4/2 - 21*n**3 - 26*n**2 + 21*n + 47/2 = 0. Calculate n.
-1, 1, 47/5
Solve 2*i**4 - 4*i**3 - 19*i**2/2 + 23*i/2 - 3 = 0.
-2, 1/2, 3
What is l in 2*l**3/3 - 2*l**2/3 - 16*l - 24 = 0?
-3, -2, 6
Find l such that 14*l**3/5 + 16*l**2 - 24*l/5 = 0.
-6, 0, 2/7
Factor 2*a**3 - 12*a**2 - 14*a.
2*a*(a - 7)*(a + 1)
Solve 3*y**2/7 - 183*y/7 - 186/7 = 0.
-1, 62
Determine z, given that -4*z**4 + 472*z**3 - 20868*z**2 + 409696*z - 3013696 = 0.
28, 31
Suppose 34*c**3/11 + 1160*c**2/11 + 9962*c/11 + 1156/11 = 0. Calculate c.
-17, -2/17
Suppose 32*x**2 + 1740*x = 0. Calculate x.
-435/8, 0
Suppose 4*y**5 - 36*y**4 - 12*y**3 + 116*y**2 - 72*y = 0. What is y?
-2, 0, 1, 9
Suppose d**2 + 154*d = 0. Calculate d.
-154, 0
Suppose -z**4/12 - z**3/2 + z**2/4 + 4*z/3 - 1 = 0. Calculate z.
-6, -2, 1
Let -2*x**4/17 - 4*x**3/17 + 8*x**2/17 + 4*x/17 - 6/17 = 0. What is x?
-3, -1, 1
Factor 2*a**4/15 + 2*a**3/3 - 4*a**2/15 - 16*a/5.
2*a*(a - 2)*(a + 3)*(a + 4)/15
Determine o so that 128*o**5 - 544*o**4 + 770*o**3 - 424*o**2 + 74*o - 4 = 0.
1/8, 1, 2
Determine z, given that z**2/9 + 20*z/3 + 100 = 0.
-30
Factor -o**2/2 - 6*o + 85/2.
-(o - 5)*(o + 17)/2
Factor -3*k**3 - 33*k**2 - 57*k - 27.
-3*(k + 1)**2*(k + 9)
Solve 2*n**3/7 + 94*n**2/7 + 176*n + 2904/7 = 0 for n.
-22, -3
Factor 3*i**3 + 24*i**2 + 15*i - 150.
3*(i - 2)*(i + 5)**2
Find r, given that -2*r**4 - 12*r**3 - 10*r**2 = 0.
-5, -1, 0
What is g in g**4/10 - 13*g**3/2 + 63*g**2/10 + 13*g/2 - 32/5 = 0?
-1, 1, 64
Solve i**2 - 99*i = 0.
0, 99
Solve -3*n**3/7 - 108*n**2/7 - 303*n/7 - 198/7 = 0 for n.
-33, -2, -1
Determine p so that -p**2 - 4196*p - 4401604 = 0.
-2098
Factor -n**5 + 12*n**3 + 16*n**2.
-n**2*(n - 4)*(n + 2)**2
Suppose 5*b**2 + 30*b + 25 = 0. What is b?
-5, -1
Factor 4*w**3 - 864*w**2 + 1716*w - 856.
4*(w - 214)*(w - 1)**2
Find h such that 2*h**5/5 + 2*h**4 - 28*h**3/5 + 4*h**2/5 + 26*h/5 - 14/5 = 0.
-7, -1, 1
Factor 3*h**4/2 - 9*h**3 + 15*h**2/2 + 18*h.
3*h*(h - 4)*(h - 3)*(h + 1)/2
Factor 2*d**2/9 - 374*d/9 - 376/9.
2*(d - 188)*(d + 1)/9
Let 8*g**5 + 6*g**4 - 44*g**3 - 2*g**2 + 72*g - 40 = 0. What is g?
-2, 1, 5/4
Let -3*m**3/4 + 375*m**2/4 + 384*m + 387 = 0. What is m?
-2, 129
Factor 27*w**4 - 756*w**3 + 738*w**2 - 244*w + 27.
(w - 27)*(3*w - 1)**3
Let -4*d**3 + 76*d**2 + 800*d + 1728 = 0. Calculate d.
-4, 27
Let 10*p**5/9 + 98*p**4/3 + 2606*p**3/9 + 9146*p**2/9 + 3920*p/3 + 3400/9 = 0. What is p?
-17, -5, -2, -2/5
Determine x, given that -x**3 + 126*x**2 - 4092*x + 7688 = 0.
2, 62
Suppose -16*i**5 + 892*i**4 - 3748*i**3 - 6564*i**2 + 1764*i + 3672 = 0. What is i?
-1, 3/4, 6, 51
Factor -b**2/4 - 1889*b/2 - 3568321/4.
-(b + 1889)**2/4
Solve -16*x**2/3 + 5908*x/3 + 1480 = 0.
-3/4, 370
Find f such that -2*f**5/7 - 8*f**4/7 + 4*f**3/7 + 16*f**2/7 - 2*f/7 - 8/7 = 0.
-4, -1, 1
Solve x**5/3 + 23*x**4/3 - 54*x**3 + 340*x**2/3 - 232*x/3 = 0 for x.
-29, 0, 2
Solve -2*b**4/5 - 2064*b**3/5 - 2062*b**2/5 = 0 for b.
-1031, -1, 0
Factor -a**2/4 - 73*a/4 + 37/2.
-(a - 1)*(a + 74)/4
What is p in -p**5/6 - 13*p**4/6 + 40*p**3 - 96*p**2 = 0?
-24, 0, 3, 8
Determine i, given that -4*i**4/7 + 20*i**3/7 - 16*i**2/7 = 0.
0, 1, 4
Find k such that -3*k**3 - 33*k**2 - 78*k - 48 = 0.
-8, -2, -1
Factor -3*f**2 + 24*f.
-3*f*(f - 8)
Solve 2*g**3/3 + 478*g**2 + 85920*g + 256328/3 = 0 for g.
-358, -1
Factor -u**2 + 1688*u - 712336.
-(u - 844)**2
Factor -2*k**5/17 + 12*k**4/17 - 108*k**2/17 + 162*k/17.
-2*k*(k - 3)**3*(k + 3)/17
Factor 3*q**2 - 378*q + 744.
3*(q - 124)*(q - 2)
Determine q so that q**4/4 + 5*q**3 + 123*q**2/4 + 45*q - 81 = 0.
-9, -6, 1
Solve -b**2/2 - 635*b - 403225/2 = 0 for b.
-635
Factor -5*q**3 + 145*q**2 + 305*q + 155.
-5*(q - 31)*(q + 1)**2
Factor 3*c**2/7 + 6*c/7 + 3/7.
3*(c + 1)**2/7
Factor 34*i**2/7 - 32*i/7 - 2/7.
2*(i - 1)*(17*i + 1)/7
Suppose -5*m**4 + 295*m**3 - 565*m**2 - 295*m + 570 = 0. Calculate m.
-1, 1, 2, 57
Let -3*j**2/8 + 573*j/8 - 285/4 = 0. What is j?
1, 190
Factor -h**3/7 + 79*h**2/7 - 22*h.
-h*(h - 77)*(h - 2)/7
Factor 2*f**2 + 19052*f + 45372338.
2*(f + 4763)**2
Suppose -2*r**3 + 936*r**2 + 2*r - 936 = 0. What is r?
-1, 1, 468
Determine f, given that -48668*f**4/3 + 142830*f**3 + 28359*f**2 + 3717*f/2 + 81/2 = 0.
-3/46, 9
Suppose 2*c**3/17 - 336*c**2/17 + 12672*c/17 + 123904/17 = 0. What is c?
-8, 88
Determine k, given that -k**3/6 - 5*k**2/2 + 52*k + 338/3 = 0.
-26, -2, 13
Determine o so that -3*o**4 + 141*o**3 - 1260*o**2 - 9516*o - 8112 = 0.
-4, -1, 26
Find c such that 4*c**2/9 + 12*c + 72 = 0.
-18, -9
Solve -2*x**2 + 298*x - 876 = 0.
3, 146
Let -26*m**2 - 674*m + 52 = 0. What is m?
-26, 1/13
Determine v, given that v**2/9 + 1369*v/9 + 2734/9 = 0.
-1367, -2
Factor v**2 - 9.
(v - 3)*(v + 3)
Factor 3*h**4/5 + 51*h**3/5 + 279*h**2/5 + 105*h + 294/5.
3*(h + 1)*(h + 2)*(h + 7)**2/5
Determine r so that -r**5/5 + 2*r**4 - 16*r**3/5 - 2*r**2/5 + 17*r/5 - 8/5 = 0.
-1, 1, 8
Factor -s**5 - 135*s**4 - 5103*s**3 - 35721*s**2.
-s**2*(s + 9)*(s + 63)**2
Solve 3*n**4/4 + 3*n**3/2 - 27*n**2/4 - 3*n/2 + 6 = 0.
-4, -1, 1, 2
Solve -20*h**5 - 88*h**4 - 32*h**3 + 320*h**2 + 448*h + 128 = 0.
-2, -2/5, 2
Factor o**3/5 - 5*o**2 + 167*o/5 - 143/5.
(o - 13)*(o - 11)*(o - 1)/5
Factor 4*f**3/3 + 28*f**2 + 152*f/3.
4*f*(f + 2)*(f + 19)/3
Let 5*r**5 - 175*r**4 + 1955*r**3 - 6685*r**2 - 1960*r + 6860 = 0. Calculate r.
-1, 1, 7, 14
Find c, given that 4*c**4/11 + 6*c**3/11 + 2*c**2/11 = 0.
-1, -1/2, 0
Factor a**5 - 149*a**4 + 5323*a**3 + 16873*a**2 + 17176*a + 5776.
(a - 76)**2*(a + 1)**3
Factor 2*l**2/13 + 42*l/13.
2*l*(l + 21)/13
Factor 3*f**4/5 + 87*f**3/5 - 18*f**2.
3*f**2*(f - 1)*(f + 30)/5
Suppose 28*g**4 - 176*g**3 - 484*g**2 + 824*g - 192 = 0. Calculate g.
-3, 2/7, 1, 8
Determine g, given that 4*g**2/7 - 692*g/7 - 5792/7 = 0.
-8, 181
What is i in 2*i**5/3 - 4*i**4/3 - 14*i**3/3 + 16*i**2/3 + 8*i = 0?
-2, -1, 0, 2, 3
What is h in -20*h**4 + 16*h**3 + 4*h**2 = 0?
-1/5, 0, 1
Factor 2*q**5 + 16*q**4 + 12*q**3 - 80*q**2 + 50*q.
2*q*(q - 1)**2*(q + 5)**2
Factor -3*j**3 + 30*j**2 + 123*j - 990.
-3*(j - 11)*(j - 5)*(j + 6)
Suppose -4*f**2/5 + 916*f + 4584/5 = 0. What is f?
-1, 1146
Factor 4*w**2/5 - 2408*w/5 + 2404/5.
4*(w - 601)*(w - 1)/5
Determine o, given that o**2/2 - 39*o/2 + 37 = 0.
2, 37
Determine g, given that -2*g**3/3 + 4*g**2/3 + 8*g/3 - 16/3 = 0.
-2, 2
Factor -4*h**2/9 + 6944*h/9 - 3013696/9.
-4*(h - 868)**2/9
Suppose 2*i**3 - 86*i**2 + 880*i + 968 = 0. What is i?
-1, 22
Factor -m**2/3 - 569*m/2 + 427/3.
-(m + 854)*(2*m - 1)/6
Factor 5*u**3 + 105*u**2 + 675*u + 1215.
5*(u + 3)*(u + 9)**2
Suppose 4*t**4 - 8*t**3 - 76*t**2 + 32*t + 240 = 0. Calculate t.
-3, -2, 2, 5
Let w**2 + w - 6 = 0. What is w?
-3, 2
Factor -a**2 + 3142*a - 2468041.
-(a - 1571)**2
Factor -l**2/5 + 79*l/5 - 192.
-(l - 64)*(l - 15)/5
What is j in -3*j**5 - 285*j**4 - 837*j**3 - 831*j**2 - 276*j = 0?
-92, -1, 0
Determine r, given that -2*r**3/11 - 20*r**2/11 + 2*r = 0.
-11, 0, 1
Factor h**2/7 - 25/7.
(h - 5)*(h + 5)/7
Determine g, given that -2*g**3 + 50*g**2 - 336*g + 288 = 0.
1, 12
What is v in 2*v**2/3 - 166*v/3 + 644 = 0?
14, 69
Factor -z**4/8 + 101*z**3/4 - 9997*z**2/8 - 5151*z/2 - 2601/2.
-(z - 102)**2*(z + 1)**2/8
Find u, given that u**3/4 - 121*u**2/4 + 230*u - 452 = 0.
4, 113
Factor -4*y**2 - 452*y + 1392.
-4*(y - 3)*(y + 116)
Let 3*o**3 + 3*o**2 - 48*o + 60 = 0. Calculate o.
-5, 2
Find l, given that l**5 + 20*l**4 - 43*l**3 + 22*l**2 = 0.
-22, 0, 1
Suppose y**5/4 - 3*y**4/4 + 3*y**3/4 - y**2/4 = 0. What is y?
0, 1
Find x such that -x**4 - 119*x**3/2 - 1857*x**2/2 - 2581*x/2 - 841/2 = 0.
-29, -1, -1/2
Solve m**2/6 - 58*m/3 + 1682/3 = 0.
58
Let 15*c**4 + 85*c**3 + 170*c**2 + 140*c + 40 = 0. What is c?
-2, -1, -2/3
Factor 4*d**4 + 20*d**3 + 28*d**2 + 12*d.
4*d*(d + 1)**2*(d + 3)
Find q, given that 2*q**2/11 + 332*q/11 - 672/11 = 0.
-168, 2
Factor 4*m**3 - 1932*m**2 - 3876*m - 1940.
4*(m - 485)*(m + 1)**2
Factor -2*k**3/3 + 8*k**2/3 - 8*k/3.
-2*k*(k - 2)**2/3
Factor 4*w**2/3 + 464*w + 2768/3.
4*(w + 2)*(w + 346)/3
Find f, given that 2*f**5/5 - 54*f**4/5 - 174*f**3/5 - 178*