**2 + 282*z = 0.
-94, -3, -1, 0, 3
Factor q**3 - 74*q**2 - 819*q - 1764.
(q - 84)*(q + 3)*(q + 7)
Factor -l**4 - 3*l**3 + 189*l**2 + 1215*l.
-l*(l - 15)*(l + 9)**2
Find x such that -2*x**2 - 32*x + 16072 = 0.
-98, 82
Factor u**2 + 1698*u + 720801.
(u + 849)**2
Factor -3*a**2 - 3033*a + 90480.
-3*(a - 29)*(a + 1040)
Find t, given that -t**5/5 - 49*t**4/5 - 407*t**3/5 - 671*t**2/5 - 312*t/5 = 0.
-39, -8, -1, 0
Determine o so that 3*o**3/4 - 2859*o**2 - 5721*o = 0.
-2, 0, 3814
Factor a**4/6 + 13*a**3/3 - 8*a**2/3 - 1717*a/3 - 3179/2.
(a - 11)*(a + 3)*(a + 17)**2/6
Suppose -2*p**2 + 4777008*p - 2852475679008 = 0. What is p?
1194252
Determine o, given that -5*o**5 - 1865*o**4 + 60605*o**3 + 62465*o**2 = 0.
-403, -1, 0, 31
Let -2*k**4 + 94*k**3 + 4884*k**2 - 20600*k + 20944 = 0. Calculate k.
-34, 2, 77
Solve -5*d**2/4 + 15495*d/2 + 30995/4 = 0 for d.
-1, 6199
Suppose -16*q**4 + 7764*q**3 - 910724*q**2 - 689364*q + 229140 = 0. Calculate q.
-1, 1/4, 201, 285
Factor -a**4/6 - 2624*a**3/3 - 3432176*a**2/3 + 9194496*a - 18417024.
-(a - 4)**2*(a + 2628)**2/6
Solve -36*s**4 + 2276*s**3 + 81900*s**2 + 61788*s - 17800 = 0.
-25, -1, 2/9, 89
Factor -2*o**2 - 22114*o - 22112.
-2*(o + 1)*(o + 11056)
Factor 2*z**3/3 - 3790*z**2 + 5392218*z - 16142562.
2*(z - 2841)**2*(z - 3)/3
Factor -4*z**3/7 - 8112*z**2/7 + 396288*z/7 - 4783104/7.
-4*(z - 24)**2*(z + 2076)/7
Suppose 2*s**4/5 - 62*s**3/5 + 408*s**2/5 + 256*s - 2560 = 0. Calculate s.
-5, 8, 20
Solve 7938*k**4/11 - 21672*k**3 - 238516*k**2/11 + 7752*k/11 - 62/11 = 0.
-1, 1/63, 31
Find j, given that j**5/6 - 731*j**4/6 + 176587*j**3/6 - 4726823*j**2/2 + 2334102*j = 0.
0, 1, 219, 292
Suppose h**2/3 + 857*h/3 - 1148 = 0. What is h?
-861, 4
Factor -3*s**2 - 41433*s - 82854.
-3*(s + 2)*(s + 13809)
What is c in -18*c**4/11 + 774366*c**3/11 - 1806788*c**2/11 + 125144*c - 344144/11 = 0?
2/3, 1, 43018
Factor v**3/10 + 1141*v**2/5 - 14329*v/2 + 67077/5.
(v - 29)*(v - 2)*(v + 2313)/10
Determine o so that o**3/4 - 372*o**2 + 1484*o = 0.
0, 4, 1484
Factor 4*i**4 + 37296*i**3 + 87086032*i**2 + 694899072*i + 1388605696.
4*(i + 4)**2*(i + 4658)**2
Find o, given that -48*o**3 - 633*o**2 - 1806*o + 1911 = 0.
-7, 13/16
Find a, given that a**4/7 - 684*a**3/7 + 128304*a**2/7 - 3779136*a/7 = 0.
0, 36, 324
Factor 5*h**3 - 12770*h**2 + 736595*h - 1422150.
5*(h - 2495)*(h - 57)*(h - 2)
Factor 2*w**3 - 496*w**2 + 7994*w - 32340.
2*(w - 231)*(w - 10)*(w - 7)
Factor 3*q**3 + 5451*q**2 - 16380*q.
3*q*(q - 3)*(q + 1820)
Find j such that 4*j**5 - 1392*j**4 + 17416*j**3 + 1392*j**2 - 17420*j = 0.
-1, 0, 1, 13, 335
Find c, given that -2*c**5/5 - 10824*c**4/5 + 54164*c**3/5 - 32512*c**2/5 - 54162*c/5 + 43336/5 = 0.
-5417, -1, 1, 4
Solve 54*x**4 - 7974*x**3 + 604479*x**2/2 - 580773*x + 572907/2 = 0.
1, 437/6
Solve 6*f**5/7 - 24*f**4 - 12*f**3/7 + 17832*f**2/7 + 34998*f/7 + 17328/7 = 0.
-8, -1, 19
Determine f so that -f**4/7 - 11*f**3/7 - 23*f**2/7 + 11*f/7 + 24/7 = 0.
-8, -3, -1, 1
Factor -j**3 - 10790*j**2 - 29095232*j + 58233632.
-(j - 2)*(j + 5396)**2
Suppose 2*w**3/7 - 4804*w**2/7 + 9602*w/7 - 4800/7 = 0. What is w?
1, 2400
Factor 5*j**4 - 25*j**3 + 15*j**2 + 25*j - 20.
5*(j - 4)*(j - 1)**2*(j + 1)
Suppose -2*m**3/9 - 2266*m**2/9 - 211280*m/3 + 505400 = 0. What is m?
-570, 7
Factor 2*s**4 - 510*s**3 + 30666*s**2 + 237110*s + 205932.
2*(s - 131)**2*(s + 1)*(s + 6)
Solve -3*h**5 + 1101*h**4 + 24147*h**3 - 28116045*h**2 + 28090800*h = 0 for h.
-144, 0, 1, 255
Factor z**2/2 + 475*z + 948.
(z + 2)*(z + 948)/2
Determine c, given that 2*c**2 - 299030*c + 598052 = 0.
2, 149513
Factor -2*c**3 - 150*c**2 - 1428*c - 1280.
-2*(c + 1)*(c + 10)*(c + 64)
Determine r so that 2*r**4 + 5498*r**3 + 468234*r**2 + 13481230*r + 129847036 = 0.
-2662, -29
Suppose 1180*q**5/7 + 19372*q**4/7 + 58620*q**3/7 - 49516*q**2/7 - 4168*q - 480/7 = 0. What is q?
-12, -5, -2/5, -1/59, 1
Determine h, given that 4*h**3/5 + 1436*h**2/5 - 123844*h/5 + 122404/5 = 0.
-431, 1, 71
Determine z, given that 3*z**5 - 60*z**4 + 285*z**3 + 60*z**2 - 288*z = 0.
-1, 0, 1, 8, 12
Solve 5*n**5 + 155*n**4 + 705*n**3 - 1195*n**2 - 1750*n = 0.
-25, -7, -1, 0, 2
Factor 2*k**2/7 + 124052*k/7 - 248112/7.
2*(k - 2)*(k + 62028)/7
Factor s**2/2 - 35679*s + 356765/2.
(s - 71353)*(s - 5)/2
Suppose -4*v**3 - 152*v**2 + 1292*v + 1440 = 0. Calculate v.
-45, -1, 8
Factor -c**2/3 - 110*c/3 + 1125.
-(c - 25)*(c + 135)/3
Solve o**3/5 + 145212*o**2 - 1452123*o/5 + 726062/5 = 0.
-726062, 1
Factor 2*n**2 + 3150*n + 6292.
2*(n + 2)*(n + 1573)
Let 2*s**4/5 - 54*s**3/5 - 1072*s**2/5 + 1224*s/5 + 448 = 0. What is s?
-14, -1, 2, 40
Factor i**2 - 26788*i.
i*(i - 26788)
Factor 97*l**3 + 4357*l**2/5 - 72*l/5.
l*(l + 9)*(485*l - 8)/5
Factor -5*r**2 + 348035*r.
-5*r*(r - 69607)
Factor -4*i**3 + 4520*i**2 - 17996*i - 22520.
-4*(i - 1126)*(i - 5)*(i + 1)
Let -3*m**2 + 2712*m - 5412 = 0. Calculate m.
2, 902
Solve 2*v**5/3 - 16*v**4/3 - 76*v**3/3 + 1040*v**2/3 - 2950*v/3 + 2000/3 = 0.
-8, 1, 5
Solve 2*w**5/11 - 40*w**4/11 + 226*w**3/11 - 428*w**2/11 + 240*w/11 = 0 for w.
0, 1, 2, 5, 12
Let 3*b**2/4 - 54081*b/4 - 270555/2 = 0. Calculate b.
-10, 18037
Let -s**2 + 30471*s - 30470 = 0. What is s?
1, 30470
Factor -5*j**3 - 15995*j**2 + 192480*j - 577980.
-5*(j - 6)**2*(j + 3211)
Factor -u**2/4 + 35587*u/4 + 124579/2.
-(u - 35594)*(u + 7)/4
Find a, given that a**3/5 - 12596*a**2/5 + 39677397*a/5 - 79304418/5 = 0.
2, 6297
Find k, given that 2*k**3 + 94*k**2 + 832*k - 6760 = 0.
-26, 5
Factor 4*z**2/3 - 116*z - 8640.
4*(z - 135)*(z + 48)/3
Find p, given that -1086*p**3/5 + 1089*p**2 - 4419*p/5 + 12 = 0.
5/362, 1, 4
Find u, given that -3*u**5 - 63*u**4 - 345*u**3 - 765*u**2 - 732*u - 252 = 0.
-14, -3, -2, -1
Suppose 4*a**2/5 - 528*a/5 - 30464 = 0. Calculate a.
-140, 272
Factor -5*h**4/4 - 2230*h**3 + 13395*h**2/2 - 6700*h + 8935/4.
-5*(h - 1)**3*(h + 1787)/4
Suppose -6*l**2 - 7648*l + 2550 = 0. Calculate l.
-1275, 1/3
Determine l, given that -l**2/3 + 6523*l/3 = 0.
0, 6523
Find q, given that 3*q**3/4 + 1323*q**2/2 - 7959*q/4 + 2655/2 = 0.
-885, 1, 2
Factor 3*i**2 - 116292*i + 1126985772.
3*(i - 19382)**2
Factor -15*c**4/4 - 305*c**3/4 - 825*c**2/4 - 795*c/4 - 65.
-5*(c + 1)**3*(3*c + 52)/4
What is y in 4*y**2 + 361732*y + 1446864 = 0?
-90429, -4
Suppose -2*b**3 - 3654*b**2 + 73680*b - 369400 = 0. What is b?
-1847, 10
Factor 27*t**3 - 216*t**2 + 204*t + 240.
3*(t - 2)*(3*t - 20)*(3*t + 2)
Find g, given that -19*g**3/7 - 9160*g**2/7 - 10103*g/7 - 962/7 = 0.
-481, -1, -2/19
Let z**4/3 + 62*z**3/3 + 39*z**2 - 60*z = 0. Calculate z.
-60, -3, 0, 1
Determine w, given that w**2/2 - 4465*w/2 - 108312 = 0.
-48, 4513
Let 3*k**4 - 273*k**3 + 3138*k**2 - 7548*k + 4680 = 0. Calculate k.
1, 2, 10, 78
Determine t, given that 20*t**3 + 2728*t**2 - 61312*t - 24960 = 0.
-156, -2/5, 20
Factor t**3 + 251*t**2 + 1478*t + 1960.
(t + 2)*(t + 4)*(t + 245)
Solve -196*l**5/9 + 17024*l**4/3 - 3341536*l**3/9 + 632320*l**2/3 - 270400*l/9 = 0.
0, 2/7, 130
Find s, given that 4*s**3/5 + 20138*s**2/5 + 10068*s/5 = 0.
-5034, -1/2, 0
Let -4*y**3/3 - 208*y**2/3 + 18220*y/3 + 18424/3 = 0. Calculate y.
-98, -1, 47
Determine h, given that -h**4 - 5740*h**3 + 63237*h**2 - 138060*h - 207036 = 0.
-5751, -1, 6
Solve 3753*f**2/7 - 11811*f/7 + 60 = 0 for f.
5/139, 28/9
Factor 3*b**2/7 - 173640*b + 17587995600.
3*(b - 202580)**2/7
Let -3*w**3/4 + 1773*w**2 - 619971*w/4 - 634167/2 = 0. Calculate w.
-2, 93, 2273
Factor -2*k**2/3 + 1088*k/3 + 11078.
-2*(k - 573)*(k + 29)/3
Factor -4*p**3 - 72124*p**2 - 144236*p - 72116.
-4*(p + 1)**2*(p + 18029)
Find y, given that 2*y**5/13 + 170*y**4/13 - 2818*y**3/13 - 352426*y**2/13 + 2816*y/13 + 352256/13 = 0.
-64, -1, 1, 43
Solve 3*g**4 + 135*g**3 + 1359*g**2 - 3135*g + 1638 = 0 for g.
-26, -21, 1
What is l in -l**4/2 + 152*l**3 + 2*l**2 - 608*l = 0?
-2, 0, 2, 304
Factor -8*t**3 - 492*t**2 + 10992*t - 5372.
-4*(t - 17)*(t + 79)*(2*t - 1)
Let 69*l**2 + 41127*l + 1788 = 0. What is l?
-596, -1/23
Determine i, given that 2*i**2/3 + 318*i + 4720/3 = 0.
-472, -5
Factor 36*o**4 - 22413*o**3 + 29836*o**2 - 9940*o.
o*(3*o - 2)**2*(4*o - 2485)
Factor 2*o**2 - 287856*o + 10357634592.
2*(o - 71964)**2
Suppose 5*c**2/3 + 22785*c + 273340/3 = 0. What is c?
-13667, -4
Determine z, given that 4*z**5 + 24*z**4 - 128*z**3 - 504*z**2 + 124*z + 480 = 0.
-8, -3, -1, 1,