 -14, -1, 1
Factor -5*i**2 + 5819860*i - 1693538520980.
-5*(i - 581986)**2
Find n, given that -5*n**4/2 - 235*n**3 + 320*n**2 + 7995*n + 29925/2 = 0.
-95, -3, 7
Factor -2*a**3/15 + 7352*a**2/15 + 5896*a + 88512/5.
-2*(a - 3688)*(a + 6)**2/15
Factor 3*b**3 - 26076*b**2 - 1467312*b - 20575296.
3*(b - 8748)*(b + 28)**2
Factor 6*z**4/7 + 240*z**3/7 - 2700*z**2 + 324000*z/7 - 1721250/7.
6*(z - 15)**3*(z + 85)/7
Find x such that -3*x**2 + 29826*x = 0.
0, 9942
Determine f, given that -f**4/2 - 24018*f**3 - 72051*f**2 - 72050*f - 48033/2 = 0.
-48033, -1
Find i such that -5*i**3 + 245*i**2 - 2300*i - 13440 = 0.
-4, 21, 32
Factor -w**2/3 + 38101*w + 114306.
-(w - 114306)*(w + 3)/3
Determine a so that 15*a**3/7 - 126*a**2 + 14823*a/7 - 52488/7 = 0.
24/5, 27
Factor -26*w**2/7 - 9626*w/7 - 9600/7.
-2*(w + 1)*(13*w + 4800)/7
Solve -2*x**5 - 58*x**4 + 2700*x**3 = 0.
-54, 0, 25
Determine n, given that 3*n**3/4 + 186*n**2 + 10332*n = 0.
-164, -84, 0
Solve -5*x**2 - 41515*x + 207700 = 0 for x.
-8308, 5
Let 9*a**5 + 2577*a**4 + 20796*a**3 - 15012*a**2 = 0. What is a?
-278, -9, 0, 2/3
Solve v**3/4 - 159*v**2/4 + 451*v/2 + 612 = 0.
-2, 8, 153
Determine l so that -4*l**4 - 39904*l**3 - 99360832*l**2 + 796803072*l - 1594884096 = 0.
-4992, 4
Suppose t**2/11 + 27586*t/11 + 55168/11 = 0. What is t?
-27584, -2
Factor -l**4 - 25*l**3 - 109*l**2 + 297*l - 162.
-(l - 1)**2*(l + 9)*(l + 18)
Solve -6*f**3 - 13936*f**2 - 78798*f - 46340 = 0.
-2317, -5, -2/3
Factor -b**3 + 1085*b**2 + 225032*b + 10740816.
-(b - 1269)*(b + 92)**2
Factor -m**4 - 16692*m**3 - 69655716*m**2.
-m**2*(m + 8346)**2
Solve 2*v**3/11 - 147250*v**2/11 + 2710393936*v/11 - 2710246688/11 = 0.
1, 36812
Find a, given that a**2/2 + 52200*a + 104399/2 = 0.
-104399, -1
Factor 2*l**5 - 14*l**4 + 12*l**3 + 64*l**2 - 64*l.
2*l*(l - 4)**2*(l - 1)*(l + 2)
Solve -c**2 + 2183*c = 0 for c.
0, 2183
Factor 4*b**4 - 4744*b**3 - 38148*b**2 - 71640*b.
4*b*(b - 1194)*(b + 3)*(b + 5)
What is g in 28*g**2 + 192128*g - 54896 = 0?
-6862, 2/7
Factor 7*u**3/3 - 656*u**2/3 + 5692*u/3 + 560.
(u - 84)*(u - 10)*(7*u + 2)/3
Find b such that 25*b**5/3 + 35365*b**4/3 + 12411016*b**3/3 - 22582296*b**2 + 36244080*b - 18147600 = 0.
-710, 6/5, 3
Solve 133*y**4 + 1996*y**3 + 7463*y**2 + 8036*y + 60 = 0 for y.
-10, -3, -2, -1/133
Let 11*q**4/5 - 2*q**3 - 44*q**2/5 + 8*q = 0. Calculate q.
-2, 0, 10/11, 2
Determine t, given that -4*t**4 - 132*t**3 - 1204*t**2 - 2028*t - 952 = 0.
-17, -14, -1
Let -2*g**3/13 + 158*g**2/13 + 322*g/13 + 162/13 = 0. What is g?
-1, 81
Determine w so that 167042*w**4/5 - 2837402*w**3/5 + 2633376*w**2/5 + 36856*w/5 + 128/5 = 0.
-2/289, 1, 16
Factor -3*f**2 - 67962*f - 384902787.
-3*(f + 11327)**2
Determine c, given that -c**2/3 - 607*c + 20394 = 0.
-1854, 33
Let -j**4/3 - 43*j**3/3 - 146*j**2 + 572*j/3 + 968/3 = 0. Calculate j.
-22, -1, 2
Factor -2*g**4/5 + 3546*g**3 - 52409868*g**2/5 + 51710963416*g/5 - 154661679984/5.
-2*(g - 2954)**3*(g - 3)/5
Factor 2*x**5/9 + 130*x**4 + 56842*x**3/3 - 171698*x**2/9.
2*x**2*(x - 1)*(x + 293)**2/9
What is s in -2*s**2 + 42300*s - 223661250 = 0?
10575
Factor 3*b**3 + 8667*b**2 + 34632*b + 34620.
3*(b + 2)**2*(b + 2885)
Factor 18057*m**2/7 - 90294*m/7 + 45/7.
3*(m - 5)*(6019*m - 3)/7
Let p**4/4 - 743*p**3/4 + 68819*p**2/2 + 34968*p - 69192 = 0. Calculate p.
-2, 1, 372
Factor -r**4/4 - 1469*r**3/4 - 135056*r**2 - 134689*r.
-r*(r + 1)*(r + 734)**2/4
Solve g**2/4 - 7101*g/4 = 0.
0, 7101
Factor -k**3 + 486*k**2 + 26751*k + 26264.
-(k - 536)*(k + 1)*(k + 49)
Suppose d**3/2 - 655*d**2 + 1307*d/2 + 1309 = 0. What is d?
-1, 2, 1309
Determine k so that -2*k**2/9 - 230*k + 2072/9 = 0.
-1036, 1
Let 4*v**5 - 304*v**4 + 3768*v**3 - 6048*v**2 - 34236*v + 79056 = 0. What is v?
-3, 3, 12, 61
What is x in -588*x**5 - 2142*x**4 + 25125*x**3/4 + 79191*x**2/4 - 43725*x/4 + 5625/4 = 0?
-25/7, 1/4, 3
Factor 2*p**2/13 + 56892*p/13.
2*p*(p + 28446)/13
Let -3*g**2/2 + 483693*g + 967392 = 0. Calculate g.
-2, 322464
Determine h, given that 5*h**5 + 13975*h**4 + 83730*h**3 + 167380*h**2 + 111560*h = 0.
-2789, -2, 0
Find z such that -z**4/3 + 5750*z**3/3 + 9589*z**2 + 46036*z/3 + 23020/3 = 0.
-2, -1, 5755
Find f such that f**5/2 + 87295*f**4/2 + 174585*f**3 + 261875*f**2 + 349165*f/2 + 87291/2 = 0.
-87291, -1
Let 2*m**2/3 - 63142*m/3 + 42092 = 0. What is m?
2, 31569
Solve -4*x**4 - 344*x**3 + 5212*x**2 + 6224*x - 11088 = 0.
-99, -2, 1, 14
Find d such that -2*d**2/7 - 39484*d/7 + 78976/7 = 0.
-19744, 2
Determine s so that -2*s**3 - 876*s**2 + 28022*s - 27144 = 0.
-468, 1, 29
Factor -344*v**4/3 - 5396*v**3 - 85622*v**2 - 1419397*v/3 - 238328.
-(2*v + 31)**3*(43*v + 24)/3
Factor -3*v**3/5 - 1167*v**2/5 + 63048*v/5 + 43312272/5.
-3*(v - 179)*(v + 284)**2/5
Factor 2*k**2/3 + 137324*k/3 + 2357235122/3.
2*(k + 34331)**2/3
Determine s so that 2*s**2/3 - 3658*s/3 + 3656/3 = 0.
1, 1828
Determine r so that -4*r**4/3 - 700*r**3/3 + 23236*r**2/3 + 101884*r/3 + 25984 = 0.
-203, -3, -1, 32
Factor 3*n**2 - 5835*n - 183768.
3*(n - 1976)*(n + 31)
Solve -4*k**5 + 468*k**4 - 15524*k**3 + 120588*k**2 - 234360*k = 0 for k.
0, 3, 7, 45, 62
Let -4*y**4 + 3544*y**3 - 89076*y**2 - 313504*y + 399040 = 0. Calculate y.
-4, 1, 29, 860
Solve 3*b**3 - 174*b**2 + 2337*b + 5394 = 0.
-2, 29, 31
Solve 4*u**3 + 78240*u**2 + 156468*u + 78232 = 0 for u.
-19558, -1
Solve -4*j**3 + 8796*j**2 - 261180*j + 1952100 = 0.
15, 2169
Factor -2*m**3/13 - 1176*m**2/13 - 13896*m/13 - 41472/13.
-2*(m + 6)**2*(m + 576)/13
Factor 5*g**3 - 14132*g**2 + 272317*g - 106666.
(g - 2807)*(g - 19)*(5*g - 2)
Let 2*d**3/9 + 752*d**2/9 - 11762*d/9 - 12512/9 = 0. Calculate d.
-391, -1, 16
Let -19*g**4 + 1172*g**3 - 10572*g**2 - 249696*g - 77760 = 0. Calculate g.
-10, -6/19, 36
Suppose -3*n**2 + 117045*n = 0. What is n?
0, 39015
Factor s**2/5 + 52*s/5 - 252.
(s - 18)*(s + 70)/5
Solve 21*t**3 + 519*t**2 + 354*t - 144 = 0.
-24, -1, 2/7
Suppose 3*g**2 - 4467*g - 35928 = 0. Calculate g.
-8, 1497
Find j, given that -14*j**5/19 - 556*j**4/19 - 6126*j**3/19 - 10496*j**2/19 + 22664*j/19 - 288 = 0.
-19, -18, -4, 2/7, 1
Suppose -7*j**3 - 475*j**2 + 1048*j - 140 = 0. What is j?
-70, 1/7, 2
What is s in s**5 - 75*s**4 + 677*s**3 - 1773*s**2 + 1170*s = 0?
0, 1, 3, 6, 65
Find n such that 2*n**5/7 - 1634*n**4/7 - 3282*n**3/7 + 4906*n**2/7 + 6560*n/7 - 936 = 0.
-2, 1, 819
Solve -5*s**4/2 + 339*s**3 + 3016*s**2 + 1152*s = 0.
-8, -2/5, 0, 144
Factor 2*g**4 + 4359158*g**3 + 3167044531212*g**2 + 766982176387891208*g + 766979009347719152.
2*(g + 1)*(g + 726526)**3
Factor -4*r**2 + 6736*r + 13488.
-4*(r - 1686)*(r + 2)
Find y such that y**4/8 + 1061*y**3/8 + 1057*y**2/4 - 1061*y/2 - 1059 = 0.
-1059, -2, 2
Determine f so that f**4/3 - 22*f**3/3 - 7*f**2/3 + 160*f/3 - 44 = 0.
-3, 1, 2, 22
Suppose -2*m**4 - 3744*m**3 - 14952*m**2 - 14944*m = 0. What is m?
-1868, -2, 0
Find i such that -71*i**4 + 356*i**3 - 218*i**2 - 636*i + 9 = 0.
-1, 1/71, 3
Let -o**2 + 640*o - 3175 = 0. Calculate o.
5, 635
Find t, given that -2*t**3/15 - 2254*t**2/15 - 25392*t = 0.
-920, -207, 0
Factor -t**2 + 7670*t - 7669.
-(t - 7669)*(t - 1)
Determine r so that -2*r**4 - 3406*r**3/7 + 9332*r**2/7 - 3944*r/7 - 1968/7 = 0.
-246, -2/7, 1, 2
Find x such that 5*x**4 + 145*x**3 - 200*x**2 - 1540*x - 1200 = 0.
-30, -2, -1, 4
Factor -4*d**2/5 + 76*d/5 + 10248/5.
-4*(d - 61)*(d + 42)/5
Factor -j**3/3 + 130*j**2/3 - 1491*j + 5292.
-(j - 63)**2*(j - 4)/3
Determine f so that -5*f**3 + 65190*f**2 - 212486805*f = 0.
0, 6519
Let -5*q**5 + 1525*q**4 - 132050*q**3 + 2347050*q**2 - 4304025*q + 2087505 = 0. What is q?
1, 21, 141
Find i, given that 3*i**5 - 531*i**4 + 2397*i**3 + 31311*i**2 + 28380*i = 0.
-5, -1, 0, 11, 172
Let -r**4/5 + 38*r**3 + 1771*r**2/5 + 796*r = 0. Calculate r.
-5, -4, 0, 199
Factor j**3/2 + 49937*j**2/2 - 99877*j/2 + 49939/2.
(j - 1)**2*(j + 49939)/2
Find a such that -528*a**5 - 3171*a**4 + 7902*a**3 - 4179*a**2 - 24*a = 0.
-8, -1/176, 0, 1
Solve 4*a**5/3 - 16*a**4/3 - 56*a**3 - 48*a**2 + 108*a = 0 for a.
-3, 0, 1, 9
Solve -5*i**4 + 3845*i**3 - 994410*i**2 + 88709500*i - 573547240 = 0 for i.
7, 254
Factor -4*y**3 - 764*y**2 + 36*y + 6876.
-4*(y - 3)*(y + 3)*(y + 191)
Factor x**2/8 - 32661*x/4 + 65321/8.
(x - 65321)*(x - 1)/8
Determine i, given that -588*i**5 - 9716*i**4 - 4652*i**3 + 4404*i**2 - 200*i - 128 = 0.
-16, -1, -1/