17*a**4/2 + 39*a**3/2 - 17*a**2/2 - 19*a = 0. Calculate a.
-2, -1, 0, 1, 19
Let n**5 - 810*n**4 + 7206*n**3 + 2432*n**2 - 23247*n + 14418 = 0. What is n?
-2, 1, 9, 801
What is v in -2*v**5 + 4660*v**4 - 41832*v**3 + 125388*v**2 - 125334*v = 0?
0, 3, 2321
Suppose 350*a**2 - 4036*a/3 - 720 = 0. What is a?
-10/21, 108/25
Factor -n**5/4 + 133*n**4/2 + 1692*n**3 + 13792*n**2 + 37120*n.
-n*(n - 290)*(n + 8)**3/4
Determine b, given that 2*b**2/5 + 1900272*b/5 + 451379209248/5 = 0.
-475068
Factor t**2 - 38222*t - 76448.
(t - 38224)*(t + 2)
Factor -2*t**3/7 + 1016*t**2/7 - 55304*t/7.
-2*t*(t - 446)*(t - 62)/7
Let 61*k**3/2 + 253*k**2/2 + 53*k - 156 = 0. Calculate k.
-3, -2, 52/61
Solve g**2/9 + 31172*g/3 + 242923396 = 0.
-46758
Factor c**3/2 + 121*c**2/2 + 361*c - 16016.
(c - 13)*(c + 22)*(c + 112)/2
Find i, given that -5*i**3 - 730*i**2 + 37620*i + 78120 = 0.
-186, -2, 42
Factor 2*r**2 - 8706288*r + 9474931342368.
2*(r - 2176572)**2
Factor -4*i**2/3 + 1564*i/3 - 48552.
-4*(i - 238)*(i - 153)/3
Factor 4*v**4 - 2608*v**3 + 589056*v**2 - 50532352*v + 1007878144.
4*(v - 208)**3*(v - 28)
Solve -2*g**4 + 2002*g**3 - 677082*g**2 + 80314822*g - 997116092 = 0 for g.
14, 329
Let -2*g**2/9 - 1108*g/9 - 54890/9 = 0. Calculate g.
-499, -55
Solve -4*v**4/7 + 4*v**3 + 452*v**2/7 + 60*v = 0.
-7, -1, 0, 15
Determine v, given that v**4/9 - 2348*v**3/9 + 478399*v**2/3 - 7358962*v + 14082144 = 0.
2, 48, 1149
Factor -2*r**3 - 254*r**2 - 3664*r + 8360.
-2*(r - 2)*(r + 19)*(r + 110)
Factor 5*i**3 + 80655*i**2 + 325301775*i + 325221125.
5*(i + 1)*(i + 8065)**2
Let 5*m**4 + 3125*m**3 + 483570*m**2 - 1472660*m + 985960 = 0. Calculate m.
-314, 1, 2
Determine h so that -2*h**4 - 88668*h**3 + 266022*h**2 = 0.
-44337, 0, 3
Factor 2*n**2 + 36*n + 34.
2*(n + 1)*(n + 17)
Suppose -2*l**4/11 + 33444*l**3/11 + 130984*l**2 + 16194108*l/11 + 14786730/11 = 0. Calculate l.
-21, -1, 16765
Find c such that -77*c**3 + 24489*c**2 + 48350*c - 9600 = 0.
-15/7, 2/11, 320
Suppose -4*h**4 + 3232*h**3 - 626496*h**2 - 10652672*h - 43454464 = 0. Calculate h.
-8, 412
Suppose 3*k**3 - 89461*k**2 + 298173*k - 89451 = 0. What is k?
1/3, 3, 29817
Factor -2*w**2 - 61098*w + 794612.
-2*(w - 13)*(w + 30562)
Determine b so that 3*b**4 + 1992*b**3 - 18102*b**2 + 46392*b - 30285 = 0.
-673, 1, 3, 5
Determine c, given that -5*c**4 - 820*c**3 - 4740*c**2 = 0.
-158, -6, 0
Factor -k**2 + 125*k + 786.
-(k - 131)*(k + 6)
Find x such that -4*x**2/7 + 1604*x/7 - 45880/7 = 0.
31, 370
Determine c, given that 4*c**4 - 628*c**3 + 3056*c**2 - 2432*c = 0.
0, 1, 4, 152
Factor -4*j**2/5 - 9496*j.
-4*j*(j + 11870)/5
Solve 3*o**5 + 129*o**4 - 37122*o**3 - 1975326*o**2 + 22463535*o - 58384275 = 0 for o.
-83, 5, 113
Solve -2*c**5/3 + 122*c**4/3 - 1454*c**3/3 + 6766*c**2/3 - 13360*c/3 + 9400/3 = 0 for c.
2, 5, 47
Factor v**2/4 + 3481*v + 12117361.
(v + 6962)**2/4
Determine g, given that -g**5/5 + g**4 + 76*g**3/5 + 112*g**2/5 - 192*g/5 = 0.
-4, 0, 1, 12
Find c such that -c**5 + 527*c**4 - 2610*c**3 = 0.
0, 5, 522
Suppose w**2/2 - 102269*w/2 = 0. Calculate w.
0, 102269
Solve u**2/9 - 9365*u/9 + 177574/9 = 0.
19, 9346
Suppose -2*s**4/5 + 15*s**3 - 108*s**2/5 = 0. What is s?
0, 3/2, 36
Find b such that 4*b**2/5 + 3768*b/5 + 3748 = 0.
-937, -5
What is t in 45*t**4 + 5133030*t**3 + 1710980*t**2 - 2851670*t + 570335 = 0?
-114067, -1, 1/3
Let -722*g**3/5 - 9899*g**2/5 - 6264*g + 3645 = 0. Calculate g.
-135/19, 1/2
Determine r so that -2*r**3/7 - 5806*r**2/7 - 591456*r + 107164800/7 = 0.
-1464, 25
Factor -o**2/3 - 203*o - 14600/3.
-(o + 25)*(o + 584)/3
Solve -2*a**3/5 + 1568*a**2/5 + 11074*a/5 = 0.
-7, 0, 791
Determine l so that 3*l**4/5 - 1704*l**3/5 + 3336*l**2/5 + 33888*l/5 + 40752/5 = 0.
-2, 6, 566
Let -2*x**4 - 182*x**3 - 3796*x**2 + 2912*x + 61248 = 0. What is x?
-58, -33, -4, 4
Suppose 2*o**3/5 - 436*o**2/5 - 902*o - 2280 = 0. Calculate o.
-5, 228
Factor -5*i**2 - 40790*i.
-5*i*(i + 8158)
Determine l, given that l**3 + 364*l**2 + 37632*l + 790272 = 0.
-168, -28
Solve 2*a**4/5 - 156*a**3 + 6858*a**2/5 = 0 for a.
0, 9, 381
Determine o so that -15*o**5 + 4330*o**4/3 + 12055*o**3 + 8170*o**2 - 7280*o/3 = 0.
-7, -1, 0, 2/9, 104
Find o such that -3*o**2/7 + 20451*o/7 + 40914/7 = 0.
-2, 6819
Determine z so that 2*z**2/15 - 218*z/15 + 1876/5 = 0.
42, 67
Factor -s**3/2 - 8010*s**2 + 32043*s/2 - 8011.
-(s - 1)**2*(s + 16022)/2
Let -4*d**3/9 - 40*d**2/9 + 212*d/9 - 56/3 = 0. Calculate d.
-14, 1, 3
Find t such that 31*t**2/4 + 623*t/4 - 327/2 = 0.
-654/31, 1
What is v in 2*v**2 + 376*v + 374 = 0?
-187, -1
Find q such that -5*q**5 - 80*q**4 + 37000*q**3 - 951520*q**2 - 4252240*q - 4401280 = 0.
-104, -2, 46
Determine r, given that -48*r**2 + 2337*r + 735 = 0.
-5/16, 49
Find i, given that 4*i**5 + 1076*i**4 - 5444*i**3 + 9836*i**2 - 7664*i + 2192 = 0.
-274, 1, 2
Factor -74*v**3 + 1186*v**2 + 5888*v - 160.
-2*(v - 20)*(v + 4)*(37*v - 1)
Find n, given that -n**4 + 962*n**3 + 49928*n**2 + 678912*n + 1165824 = 0.
-24, -2, 1012
Suppose -5*f**2/6 - 172500*f - 1034995/6 = 0. What is f?
-206999, -1
Factor p**4 + 46*p**3 + 89*p**2 + 44*p.
p*(p + 1)**2*(p + 44)
Suppose 2*j**3/7 - 208*j**2/7 + 1930*j/7 - 4700/7 = 0. What is j?
5, 94
Let 3*h**2 - 85659*h - 85662 = 0. What is h?
-1, 28554
Factor -p**3/2 - 396*p**2 + 3991*p/2 + 2391.
-(p - 6)*(p + 1)*(p + 797)/2
Let 109*w**2 + 5732*w + 3328 = 0. What is w?
-52, -64/109
Factor -n**2/8 - 93603*n/4 - 8761521609/8.
-(n + 93603)**2/8
Solve 2*p**5/5 + 362*p**4/5 - 2624*p**3/5 + 1528*p**2/5 + 4512*p/5 = 0 for p.
-188, -1, 0, 2, 6
Let -3*a**3 - 11013*a**2 - 11010*a = 0. Calculate a.
-3670, -1, 0
Let -j**3/6 - 1814*j**2/3 + 6053*j/2 - 3633 = 0. What is j?
-3633, 2, 3
Suppose c**2 - 3813*c - 165808 = 0. What is c?
-43, 3856
Let 2*b**3 + 361694*b**2 + 16352999550*b + 16352637858 = 0. Calculate b.
-90423, -1
Factor d**3/2 + 545*d**2 + 6486*d + 19404.
(d + 6)**2*(d + 1078)/2
What is q in q**2/5 + 137*q/5 - 456 = 0?
-152, 15
Factor 3*t**3/4 - 93*t**2/4 - 711*t/2 + 378.
3*(t - 42)*(t - 1)*(t + 12)/4
Factor 2*z**4 + 84*z**3 - 10126*z**2 - 231168*z + 15147008.
2*(z - 43)**2*(z + 64)**2
Let -2*n**5/15 - 1108*n**4/15 - 33178*n**3/3 - 224720*n**2 = 0. Calculate n.
-265, -24, 0
Suppose -2*l**3/3 - 480*l**2 - 32062*l/3 = 0. Calculate l.
-697, -23, 0
Factor f**3 + 15112*f**2 + 30221*f + 15110.
(f + 1)**2*(f + 15110)
What is k in k**4/5 - 2862*k**3/5 + 20977*k**2 - 1017324*k/5 + 183060 = 0?
1, 18, 2825
Solve 5*m**2 + 1554995*m - 1555000 = 0.
-311000, 1
Determine v, given that 3*v**2 - 8661*v + 34596 = 0.
4, 2883
Factor 4*w**3 - 150380*w**2 + 1414511200*w - 21183846000.
4*(w - 18790)**2*(w - 15)
Let b**3/5 - 373*b**2/5 - 2648*b/5 - 912 = 0. Calculate b.
-4, -3, 380
Factor i**4/3 - 17*i**3/3 + 22*i**2 + 32*i/3 - 352/3.
(i - 11)*(i - 4)**2*(i + 2)/3
Let -5*p**2 + 14460*p - 14455 = 0. What is p?
1, 2891
What is t in -t**3/6 - 863*t**2/3 - 82123*t/6 + 13975 = 0?
-1677, -50, 1
Let -4*d**4 - 1376*d**3 - 98196*d**2 + 3642280*d + 7666400 = 0. Calculate d.
-185, -2, 28
Suppose -m**2/3 + 2279*m/3 + 2282 = 0. What is m?
-3, 2282
Factor -5*q**2/3 + 11335*q/3 + 91000/3.
-5*(q - 2275)*(q + 8)/3
Factor 4*u**2 - 17672*u + 52980.
4*(u - 4415)*(u - 3)
Factor 2*c**4 + 24*c**3 - 534*c**2 + 988*c - 480.
2*(c - 10)*(c - 1)**2*(c + 24)
Factor -5*y**2 + 2006380*y - 201278035220.
-5*(y - 200638)**2
Factor 4*o**3 - 1952*o**2 + 3892*o - 1944.
4*(o - 486)*(o - 1)**2
Factor 2*b**3/9 - 934*b**2/3 + 8392*b/9 - 1864/3.
2*(b - 1398)*(b - 2)*(b - 1)/9
Suppose -2*n**4/3 - 578820*n**3 - 125637222150*n**2 = 0. What is n?
-434115, 0
Let -5*w**3 + 3125*w**2 + 22090*w + 18960 = 0. Calculate w.
-6, -1, 632
Factor -3*r**3/2 - 9933*r**2/2 - 19857*r/2 - 9927/2.
-3*(r + 1)**2*(r + 3309)/2
Determine p so that 3*p**3 - 1728*p**2 + 3435*p + 5166 = 0.
-1, 3, 574
Solve 2*a**5/15 + 1256*a**4/15 - 2106*a**3/5 + 7604*a**2/15 + 5048*a/15 - 3376/5 = 0.
-633, -1, 2
Factor -3*o**2 + 1674*o + 1677.
-3*(o - 559)*(o + 1)
Factor -101*p**2/2 - 1213*p/2 - 6.
-(p + 12)*(101*p + 1)/2
Solve 4*t**5/3 - 2216*t**4/3 + 100060*t**3 + 1870400*t**2/3 + 1568000*t/3 = 0.
-5, -1, 0, 280
Suppose c**4/3 - 17*c**3 - 132*c**2 - 580*c/3 = 0. What is c?
-5, -2, 0, 58
Factor 5*m**3 + 195*m**2 + 1660*m + 3360.
5*(m + 3)*(m + 8)*(m + 28)
Factor -3561680*q**4 - 14238280*q**3 - 14212965*q**2 + 33740*q - 20.
-5*(q + 2)*