.
1, 4340
Factor -13*q**2/5 + 184*q/5 - 128.
-(q - 8)*(13*q - 80)/5
Suppose 5*j**3 - 10835*j**2 - 10840*j = 0. Calculate j.
-1, 0, 2168
Let w**3/4 + 1789*w**2/2 - 35871*w/4 + 8073 = 0. What is w?
-3588, 1, 9
Let -12*a**3 - 1661310*a**2 + 3322629*a/4 - 415329/4 = 0. What is a?
-138443, 1/4
Factor v**3 - 1233*v**2.
v**2*(v - 1233)
Factor -d**2 + 2282*d + 359640.
-(d - 2430)*(d + 148)
Let f**4/4 + 1840*f**3 + 3389278*f**2 + 13535040*f + 13527684 = 0. Calculate f.
-3678, -2
Find j, given that -j**2 - 440738*j - 48562496161 = 0.
-220369
Determine j so that 2*j**2 + 176*j - 12328 = 0.
-134, 46
Let u**2/2 + 48045*u/2 - 24023 = 0. What is u?
-48046, 1
Factor 2*b**3 - 41940*b**2 - 83894*b + 125832.
2*(b - 20972)*(b - 1)*(b + 3)
Factor -15*p**3 + 245*p**2 + 490*p - 720.
-5*(p - 18)*(p - 1)*(3*p + 8)
Solve 22*s**3/3 + 1082*s**2/3 + 1252*s/3 + 64 = 0.
-48, -1, -2/11
Suppose -2*r**3/5 + 624*r**2/5 + 26066*r/5 - 16752 = 0. What is r?
-40, 3, 349
What is q in -3*q**5 - 78*q**4 - 75*q**3 + 6528*q**2 + 6396*q - 12768 = 0?
-19, -14, -2, 1, 8
Factor -5*k**2 - 5442*k - 5437.
-(k + 1)*(5*k + 5437)
Determine q so that 4*q**5/7 + 548*q**4/7 + 25696*q**3/7 + 477760*q**2/7 + 3221504*q/7 + 2768896/7 = 0.
-52, -16, -1
What is t in 3*t**5/4 - 1761*t**4/4 - 9867*t**3/2 = 0?
-11, 0, 598
Factor 2*f**3/21 + 12256*f**2/21 + 12254*f/21.
2*f*(f + 1)*(f + 6127)/21
Let -2*d**5/11 - 1074*d**4/11 - 200382*d**3/11 - 15060526*d**2/11 - 387109728*d/11 + 402371712/11 = 0. What is d?
-197, -72, 1
Solve 7*b**3/8 + 214*b**2 + 122*b = 0.
-244, -4/7, 0
Factor -5*t**3 - 40*t**2 + 323795*t - 323750.
-5*(t - 250)*(t - 1)*(t + 259)
Let -3*w**4 - 147*w**3 - 300*w**2 + 39168*w - 110592 = 0. Calculate w.
-32, 3, 12
Determine g, given that 32*g**4/7 + 7340*g**3/7 - 12036*g**2/7 - 792*g = 0.
-231, -3/8, 0, 2
Determine j, given that 20*j**4 - 1711940*j**3 + 36636799865*j**2 - 109898844270*j + 82421244405 = 0.
3/2, 42797
Suppose 5*p**5 + 1200*p**4 + 70760*p**3 - 152430*p**2 - 358765*p + 439230 = 0. Calculate p.
-121, -2, 1, 3
Determine m so that -2*m**2/7 - 8534*m/7 - 25476 = 0.
-4246, -21
Factor -2*r**2/9 - 101228*r/9 - 1280888498/9.
-2*(r + 25307)**2/9
Let f**3/7 - 180*f**2/7 - 2284*f/7 - 3840/7 = 0. Calculate f.
-10, -2, 192
Solve -2*h**2 - 16584*h + 750330 = 0 for h.
-8337, 45
Factor -c**4 + 38450*c**3 - 153784*c**2.
-c**2*(c - 38446)*(c - 4)
Solve 4*x**3/5 + 8*x**2/5 - 404*x - 2024/5 = 0.
-23, -1, 22
Factor p**4 + 86*p**3 + 1429*p**2 + 1344*p.
p*(p + 1)*(p + 21)*(p + 64)
Let o**3/9 - 727*o**2/3 + 132736*o - 5918720/9 = 0. Calculate o.
5, 1088
Determine i so that 2*i**3 + 254*i**2 + 5200*i + 26368 = 0.
-103, -16, -8
Determine j, given that 4*j**3/3 + 33680*j**2/3 + 269212*j/3 + 78512 = 0.
-8412, -7, -1
Factor z**3/5 + 156*z**2/5 - 57579*z/5 + 114526/5.
(z - 173)*(z - 2)*(z + 331)/5
Find x, given that -2*x**2/19 - 188*x/19 + 16390/19 = 0.
-149, 55
Suppose -15*h**5 + 33*h**4 + 141*h**3 - 33*h**2 - 126*h = 0. What is h?
-2, -1, 0, 1, 21/5
Solve 27*t**3/5 - 15473*t**2/5 - 156264*t/5 + 2332 = 0 for t.
-10, 2/27, 583
Factor -72*p**4 + 249*p**3 - 315*p**2 + 171*p - 33.
-3*(p - 1)**3*(24*p - 11)
What is g in -4*g**3 + 15504*g**2 - 15054336*g + 59969536 = 0?
4, 1936
Determine g so that -14*g**4 + 312*g**3 - 634*g**2 - 4632*g + 1368 = 0.
-3, 2/7, 6, 19
Factor 5*x**3 - 10780*x**2 + 21545*x - 10770.
5*(x - 2154)*(x - 1)**2
Factor -i**2 + 2201*i + 405612.
-(i - 2372)*(i + 171)
Factor 67*f**2/3 + 71086*f/3 - 1061/3.
(f + 1061)*(67*f - 1)/3
Solve 4*r**4 - 2160*r**3 + 103844*r**2 - 292200*r = 0.
0, 3, 50, 487
Factor 5*h**2 - 1365990*h + 93296434005.
5*(h - 136599)**2
Suppose 4*f**2/7 - 29032*f/7 + 232000/7 = 0. Calculate f.
8, 7250
Factor 3*v**2 - 12993*v.
3*v*(v - 4331)
Determine v so that 4*v**2/5 + 213*v/5 - 4347/5 = 0.
-69, 63/4
Solve 21*j**3 - 2274*j**2 + 80445*j - 934092 = 0.
31, 324/7
Factor -2*x**2/13 - 552*x/13 - 29376/13.
-2*(x + 72)*(x + 204)/13
Factor 1620*v**2 - 307980*v + 14637605.
5*(18*v - 1711)**2
Suppose -8*z**5/9 - 826*z**4/3 - 9164*z**3/9 + 1642*z**2/3 + 9172*z/9 - 272 = 0. What is z?
-306, -4, -1, 1/4, 1
Solve -a**5 - 909*a**4 - 4527*a**3 - 6331*a**2 - 2712*a = 0.
-904, -3, -1, 0
Find a, given that 5*a**5 + 5*a**4 - 405*a**3 + 155*a**2 + 8540*a - 14700 = 0.
-7, 2, 5, 6
Factor 4*k**3 + 12784*k**2 - 374220*k - 387000.
4*(k - 30)*(k + 1)*(k + 3225)
Let -y**5 - 62*y**4 - 406*y**3 + 1572*y**2 + 8631*y - 23814 = 0. What is y?
-54, -7, 3
Solve -5*z**3 - 19855*z**2 + 278705*z - 976325 = 0.
-3985, 7
Suppose 3*q**3/2 - 300*q**2 + 26469*q/2 + 42444 = 0. What is q?
-3, 72, 131
Determine w, given that -3*w**4/8 - 7*w**3/2 + 27*w**2/4 - 3*w/2 - 11/8 = 0.
-11, -1/3, 1
Solve 920*k**2/9 - 25762*k/3 + 56 = 0 for k.
3/460, 84
Determine x so that -11152113858*x**2/5 - 597384*x/5 - 8/5 = 0.
-2/74673
Let -15*c**4 - 3134510*c**3 + 2089695*c**2 + 3134510*c - 2089680 = 0. What is c?
-208968, -1, 2/3, 1
Suppose y**3 + 280*y**2 + 277*y - 558 = 0. What is y?
-279, -2, 1
Let -180*k**3 + 1200*k**2 - 695*k - 150 = 0. Calculate k.
-1/6, 5/6, 6
Suppose 15*u**3 + 6305*u**2 - 10550*u = 0. Calculate u.
-422, 0, 5/3
Factor 4*x**4 + 6516*x**3 + 3344640*x**2 + 518928400*x.
4*x*(x + 289)*(x + 670)**2
Factor -2*c**2/7 + 93332*c/7 + 1493824/7.
-2*(c - 46682)*(c + 16)/7
Factor -3*o**4 + 18960*o**3 - 29899866*o**2 - 179911440*o - 270123363.
-3*(o - 3163)**2*(o + 3)**2
Factor -l**2/4 - 19113*l/2 - 365306769/4.
-(l + 19113)**2/4
Let -25*q**5 + 9255*q**4 - 1284275*q**3 + 79214485*q**2 - 1837374000*q + 364316480 = 0. What is q?
1/5, 88, 97
Find j such that 2*j**4/5 - 604*j**3/5 - 1770*j**2 + 604*j/5 + 8848/5 = 0.
-14, -1, 1, 316
Factor -4*z**2 - 339280*z - 7194432400.
-4*(z + 42410)**2
Factor -a**3/4 - 117289*a**2/4 - 859809006*a - 859779684.
-(a + 1)*(a + 58644)**2/4
Factor -2*q**3/13 + 28*q**2/13 + 15680*q/13 - 614656/13.
-2*(q - 56)**2*(q + 98)/13
Solve 4*v**4/7 + 4292*v**3/7 + 170712*v**2 + 23148208*v/7 - 24347488/7 = 0.
-526, -22, 1
Determine v, given that -4*v**3 - 2532*v**2 - 419004*v - 5728860 = 0.
-309, -15
Factor p**2/6 + 20*p - 750.
(p - 30)*(p + 150)/6
Let 3*x**4 - 645*x**3 + 5028*x**2 - 12468*x + 9936 = 0. Calculate x.
2, 4, 207
Factor -2*w**3 + 8*w**2 + 8*w - 32.
-2*(w - 4)*(w - 2)*(w + 2)
Let -o**4/2 - 145*o**3 + 1048*o**2 + 2529*o + 2673/2 = 0. What is o?
-297, -1, 9
What is p in 5*p**3 - 160*p**2 - 1335*p - 1170 = 0?
-6, -1, 39
Let -3*f**2/5 - 6747*f/5 - 13482/5 = 0. What is f?
-2247, -2
What is k in 2*k**5/5 + 2*k**4/5 - 6*k**3 - 2*k**2 + 68*k/5 + 48/5 = 0?
-4, -1, 2, 3
Let 2*y**3/5 + 68*y**2/5 - 768*y/5 - 4032/5 = 0. What is y?
-42, -4, 12
Find l, given that -3*l**3 - 108*l**2 + 876*l + 5040 = 0.
-42, -4, 10
Suppose -u**2 - 213*u + 23068 = 0. Calculate u.
-292, 79
Factor -4*z**2 + 4096*z + 372288.
-4*(z - 1108)*(z + 84)
Factor 3*y**2/8 - 6111*y/8 + 6099/2.
3*(y - 2033)*(y - 4)/8
Determine s, given that 3*s**5 - 51*s**4 - 9738*s**3 - 46536*s**2 + 78240*s + 450432 = 0.
-46, -4, 3, 68
Let -4*c**5/9 - 964*c**4/9 - 944*c**3/3 + 5744*c**2/9 + 7616*c/9 = 0. Calculate c.
-238, -4, -1, 0, 2
Factor -b**3/5 - 1738*b**2/5 - 25829*b/5 + 27568/5.
-(b - 1)*(b + 16)*(b + 1723)/5
Suppose q**5 + 249*q**4 + 3907*q**3 - 8565*q**2 + 4408*q = 0. What is q?
-232, -19, 0, 1
Factor -s**2 + 1331*s - 24928.
-(s - 1312)*(s - 19)
Suppose 10*o**5 - 695*o**4 + 5370*o**3 - 11395*o**2 + 6710*o = 0. Calculate o.
0, 1, 2, 11/2, 61
Find d such that 3*d**3 - 104844*d**2 + 419340*d - 419328 = 0.
2, 34944
Factor b**2 + 644*b + 103684.
(b + 322)**2
What is x in 2*x**5 + 208*x**4 - 422*x**3 + 212*x**2 = 0?
-106, 0, 1
Factor -m**2 - 1509*m + 1510.
-(m - 1)*(m + 1510)
Factor -2*i**3 - 24888*i**2 - 77749098*i - 2004687412.
-2*(i + 26)*(i + 6209)**2
Suppose -3*z**5/7 + 24*z**4/7 + 9*z**3 - 24*z**2/7 - 60*z/7 = 0. What is z?
-2, -1, 0, 1, 10
Let 5*m**2 + 2965*m - 17970 = 0. What is m?
-599, 6
Factor -s**2/2 - 323734*s - 52401851378.
-(s + 323734)**2/2
Factor -2*i**2/3 - 840*i - 20032/3.
-2*(i + 8)*(i + 1252)/3
Factor -235*b**3 + 1660*b**2 - 2455*b + 150.
-5*(b - 5)*(b - 2)*(47*b - 3)
Determine j, given that -2*j**4 + 24*j**3 + 10*j**2 - 600*j + 1000 = 0.
-5, 2, 5, 10
Factor 5*j**2 - 1798850*j + 161793066125.
5*(j - 179885)**2
Factor p**5 + 46*p**4 + 675*p**3 + 2650*p**2 - 15500*p - 105000.
(p - 5)*(p + 10)**3*(p + 21)
Let -5*t**2 - 1335*t - 12850 = 0. Calculate