81740*i**3 + 704460*i**2 + 359680*i - 45760 = 0.
-4, -2/3, 2/19, 11, 52
Find p, given that -5*p**4 - 675*p**3 + 4215*p**2 - 2165*p - 7050 = 0.
-141, -1, 2, 5
What is s in s**4 + 11813*s**3 + 47229*s**2 - 82673*s - 118090 = 0?
-11809, -5, -1, 2
Factor -j**4 + 1561596*j**3 - 609628339006*j**2 - 13412390322804*j - 73769186032201.
-(j - 780809)**2*(j + 11)**2
Determine j, given that 5*j**2/7 - 4401*j/7 + 98578/7 = 0.
23, 4286/5
Find x such that x**3/8 + 1423*x**2/4 - 141297*x/8 + 807705/4 = 0.
-2895, 18, 31
Factor -4*d**3 + 31825328*d**2 + 63650668*d + 31825336.
-4*(d - 7956334)*(d + 1)**2
Factor -5*j**4 - 4059730*j**3 - 824054144485*j**2 + 6592692981160*j.
-5*j*(j - 8)*(j + 405977)**2
Factor -k**3/8 + 440033*k**2/2 + 59845355*k/8 + 254343987/4.
-(k - 1760166)*(k + 17)**2/8
Factor 5*g**4 - 37568675*g**3 + 94093701939930*g**2 - 78555068001544914020*g + 78554973907880542760.
5*(g - 2504578)**3*(g - 1)
Solve h**5/7 - 2955888*h**4/7 = 0 for h.
0, 2955888
Factor -2*q**3/7 - 322426*q**2/7 + 184248*q.
-2*q*(q - 4)*(q + 161217)/7
Factor -183938480464311*m**4 - 45800691338545362*m**3 - 2416030219440*m**2 - 42482638*m - 249.
-(m + 249)*(56871*m + 1)**3
Determine a, given that a**4/4 + 63*a**3/2 - 333241*a**2/4 - 1001883*a/2 = 0.
-641, -6, 0, 521
Factor -3*m**2/8 + 50477397*m/2 - 849322535965203/2.
-3*(m - 33651598)**2/8
Solve 4*l**2 + 12175732*l = 0.
-3043933, 0
Factor 2*g**4/7 + 35486*g**3/7 + 76525110*g**2/7 + 58413635514*g/7 + 15104431209888/7.
2*(g + 789)**3*(g + 15376)/7
Factor -q**2/9 + 1568*q/3 - 193455.
-(q - 4299)*(q - 405)/9
Solve -v**2/3 - 435897*v + 65387050/3 = 0 for v.
-1307741, 50
Solve 2*v**4/5 + 22*v**3/5 - 36*v**2 + 392*v/5 - 272/5 = 0 for v.
-17, 2
Suppose y**3/3 - 26665*y**2/3 + 772472*y/3 - 745808/3 = 0. Calculate y.
1, 28, 26636
Determine u, given that u**2/6 + 11089*u/6 + 423962/3 = 0.
-11012, -77
Let -2*c**2/5 + 4452*c + 2864560 = 0. What is c?
-610, 11740
Determine s, given that 5*s**4 - 15345*s**3 - 9182715*s**2 - 18319375*s - 9152010 = 0.
-511, -1, 3582
Let -4*l**5/5 + 1651224*l**4/5 - 330244*l**3 = 0. Calculate l.
0, 1, 412805
Factor 2*t**2/3 + 4483720*t/3 + 2512968129800/3.
2*(t + 1120930)**2/3
Solve -2*m**5/3 + 44*m**4/3 + 1036*m**3/3 + 2136*m**2 + 5346*m + 4788 = 0.
-7, -3, 38
Suppose -2*z**2 - 8445670*z - 50673948 = 0. What is z?
-4222829, -6
Find t such that -44*t**2 + 84705096*t + 15400928 = 0.
-2/11, 1925116
Factor 5*i**2 + 277359680*i + 3846419604485120.
5*(i + 27735968)**2
Suppose 2*l**3 - 7139348*l**2 + 6371293372480*l - 12742558187584 = 0. What is l?
2, 1784836
Solve 237226032*a**2 + 16360532*a + 8 = 0 for a.
-2/29, -1/2045052
Factor 2*p**2 + 15922*p - 7587624.
2*(p - 451)*(p + 8412)
Solve -864*l**3 - 33017758*l**2/5 + 15286*l/5 = 0 for l.
-7643, 0, 1/2160
Suppose a**4/4 - 361*a**3/4 - 13363*a**2 - 13091*a + 26544 = 0. What is a?
-112, -2, 1, 474
Factor y**5/6 + 764719*y**4/3 - 509813*y**3/2.
y**3*(y - 1)*(y + 1529439)/6
Solve -5*c**3 + 5*c**2 + 113400*c + 679140 = 0 for c.
-147, -6, 154
Solve 2*h**5/11 - 1916034*h**4/11 + 1916026*h**3/11 + 5748106*h**2/11 - 870924*h + 3832064/11 = 0.
-2, 1, 958016
Factor 4*n**3 + 360012*n**2 - 1440112*n.
4*n*(n - 4)*(n + 90007)
Let -6*j**5 - 152*j**4 - 1178*j**3 - 3376*j**2 - 3016*j - 672 = 0. What is j?
-14, -6, -4, -1, -1/3
Determine y so that y**2 + 176524432*y + 7790218773230656 = 0.
-88262216
Determine s, given that -2*s**3 + 198*s**2 + 35090*s - 407286 = 0.
-99, 11, 187
Factor -2*x**2/7 + 2520142*x/7 + 5040292/7.
-2*(x - 1260073)*(x + 2)/7
Factor -4*t**2/5 + 38136*t/5 - 3848256/5.
-4*(t - 9432)*(t - 102)/5
Factor -3*q**2/2 + 439269*q/2.
-3*q*(q - 146423)/2
Find p, given that -3*p**4/2 + 105*p**3 + 13374*p**2 - 813732*p - 13667808 = 0.
-88, -14, 86
Factor y**3/7 + 6516333*y**2/7 + 10615600069056*y/7 - 159235467214140/7.
(y - 15)*(y + 3258174)**2/7
Let 4*k**5 - 2456*k**4 + 52576*k**3 - 284160*k**2 = 0. Calculate k.
0, 10, 12, 592
Factor 841*z**3/7 + 9338*z**2 - 18080*z/7 + 1248/7.
(z + 78)*(29*z - 4)**2/7
Find r such that 4*r**5/7 + 23360*r**4/7 + 1342884*r**3/7 + 1206184*r**2 + 9062912*r/7 - 2696064 = 0.
-5782, -51, -4, 1
Factor -3*k**2 + 10646220*k - 21292428.
-3*(k - 3548738)*(k - 2)
Suppose 1048*g**2/17 + 73370*g/17 + 700/17 = 0. What is g?
-70, -5/524
Factor -3*b**3 + 124242*b**2 - 496932*b + 496920.
-3*(b - 41410)*(b - 2)**2
Suppose -1242*i**4 + 51*i**3 + 3726*i**2 + 2331*i - 102 = 0. What is i?
-1, 17/414, 2
Factor z**2/4 + 5296877*z/2 - 10593755/4.
(z - 1)*(z + 10593755)/4
Determine k, given that 308*k**3 + 272288*k**2 - 532400*k - 708800 = 0.
-886, -10/11, 20/7
Solve -f**5/2 - 45*f**4/2 - 473*f**3/2 + 1293*f**2/2 + 12249*f - 12636 = 0 for f.
-27, -13, -12, 1, 6
Let 2*l**3/7 + 28122*l**2 + 8854192*l/7 - 18495816/7 = 0. Calculate l.
-98382, -47, 2
Find m such that 3*m**4 - 1542*m**3 - 647235*m**2 + 4605174*m = 0.
-279, 0, 7, 786
Find g, given that 2*g**5/3 - 866*g**4/3 - 1429748*g**3 - 21430516*g**2/3 - 29996774*g/3 - 4284878 = 0.
-1261, -3, -1, 1699
Factor -48*q**3 + 1617526776*q**2 + 808763397*q + 101095425.
-3*(q - 33698475)*(4*q + 1)**2
Solve 4*f**5/3 - 638*f**4/15 + 4876*f**3/15 + 6254*f**2/15 - 15168*f/5 - 1536/5 = 0.
-3, -1/10, 3, 16
Solve 2*j**2/3 + 5936734*j + 35620380 = 0 for j.
-8905095, -6
Factor -p**2 - 1027094*p - 1027093.
-(p + 1)*(p + 1027093)
Factor 2*p**2/5 + 1654544*p/5 - 28127826/5.
2*(p - 17)*(p + 827289)/5
Let -16*x**4/7 - 6920056*x**3 - 36663678942841*x**2/7 - 13094138613270*x - 57286809128025/7 = 0. Calculate x.
-1513761, -5/4
Determine w so that 3*w**4 + 3549*w**3 - 546075*w**2 + 1081491*w - 538968 = 0.
-1321, 1, 136
Suppose 3*j**4 + 91866*j**3 - 2206461*j**2 + 1563360*j + 12687444 = 0. Calculate j.
-30646, -2, 3, 23
Factor -3*g**2 + 10076136*g - 8460709724208.
-3*(g - 1679356)**2
Factor -2*x**2 - 42542*x + 9065404.
-2*(x - 211)*(x + 21482)
Find r such that -3*r**3 - 16623*r**2 - 1115628*r + 4728672 = 0.
-5473, -72, 4
Solve 2*l**2 - 23392*l - 3242242 = 0 for l.
-137, 11833
Let -3*n**2 - 591351*n - 42561720 = 0. What is n?
-197045, -72
Suppose 2*q**2/9 + 1316*q/9 - 9310/9 = 0. What is q?
-665, 7
Let -3*k**3/5 - 1987422*k**2 - 8229015190944*k/5 - 279775029310848/5 = 0. Calculate k.
-1656168, -34
Factor s**3/4 + 240501*s**2/4 - 1322801*s/2 + 1803840.
(s - 6)*(s - 5)*(s + 240512)/4
Factor z**5 - 248447*z**4 + 248446*z**3.
z**3*(z - 248446)*(z - 1)
Factor 36*n**3 - 2397935424*n**2 + 39931208002578772*n + 79862425596899528.
4*(n + 2)*(3*n - 99913979)**2
Let 3*k**3 - 210525*k**2 - 4000956*k - 7159788 = 0. What is k?
-17, -2, 70194
Solve -s**3 - 26226868*s**2 = 0.
-26226868, 0
Find k, given that -2*k**2/7 + 1909788*k + 13368518/7 = 0.
-1, 6684259
Solve -2*z**3/9 - 48692*z**2/9 - 2243182*z/3 = 0.
-24207, -139, 0
Let -v**2/4 + 404*v + 426657/4 = 0. Calculate v.
-231, 1847
Find u, given that -2*u**5 - 1450*u**4 - 2878*u**3 + 10162*u**2 + 28944*u + 17352 = 0.
-723, -2, -1, 3
Factor 3*n**2/8 + 2458218*n + 4028557157016.
3*(n + 3277624)**2/8
Factor -2*b**2/17 + 41096*b/17 + 10946586/17.
-2*(b - 20811)*(b + 263)/17
Factor -a**2/5 - 210213*a + 1051066/5.
-(a - 1)*(a + 1051066)/5
Suppose -20*w**5 + 1009495*w**4 + 13378795*w**3 + 26505865*w**2 + 16913425*w + 2776840 = 0. Calculate w.
-11, -1, -1/4, 50488
Suppose 44*q**5 + 2400*q**4 + 9508*q**3 - 25248*q**2 - 32400*q = 0. What is q?
-50, -6, -1, 0, 27/11
Determine p so that -2*p**2/3 + 49371196*p/3 - 304689374308802/3 = 0.
12342799
Solve y**2 - 43952*y + 43951 = 0.
1, 43951
Suppose 5*u**5 - 41355*u**4 - 1622005*u**3 + 12924555*u**2 - 20817700*u + 9556500 = 0. Calculate u.
-46, 1, 5, 8310
Determine z so that -z**3/8 - 11431477*z**2/4 - 130678666401529*z/8 = 0.
-11431477, 0
Solve 5*z**4 - 62690*z**3 + 197314585*z**2 - 5092196320*z + 13502449920 = 0.
3, 23, 6256
Factor 2*r**5 - 21066*r**4 + 42124*r**3.
2*r**3*(r - 10531)*(r - 2)
Let 172*w**4/5 + 105128*w**3/5 - 506352*w**2/5 + 758368*w/5 - 335104/5 = 0. Calculate w.
-616, 34/43, 2
Factor -z**3/6 - 231884*z**2 - 80650646304*z + 9679190631680/3.
-(z - 40)*(z + 695672)**2/6
Factor g**3/3 - 22*g**2 - 31696*g/3 - 336288.
(g - 226)*(g + 36)*(g + 124)/3
Let -n**4/2 + 6250*n**3 - 38556899*n**2/2 - 1587602290*n + 15845422050 = 0. Calculate n.
-89, 9, 6290
Factor -2*z**3/19 - 154678*z**2/19 - 2989964288*z/19 + 26922208968/19.
-2*(z - 9)*(z + 38674)**2/19
Determine f, given th