a**2 + 33721*a + 33720.
(a + 1)*(a + 33720)
Let 4*x**3 - 10935*x**2 - 24619*x - 13680 = 0. What is x?
-5/4, -1, 2736
Factor -k**3/2 - 191*k**2 - 2249*k/2 + 1316.
-(k - 1)*(k + 7)*(k + 376)/2
Let -2*h**2/5 - 1064*h/5 - 8384/5 = 0. What is h?
-524, -8
Solve 2*n**2/7 + 754*n = 0.
-2639, 0
Let 3*s**4/2 - 60*s**3 - 3801*s**2/2 + 6099*s - 4140 = 0. Calculate s.
-23, 1, 2, 60
Suppose 200*r**5 - 10395*r**4 - 25940*r**3 - 8700*r**2 = 0. Calculate r.
-2, -2/5, 0, 435/8
Determine w so that 6*w**4/11 + 600*w**3/11 + 2238*w**2/11 - 6300*w/11 + 3456/11 = 0.
-96, -6, 1
What is x in -x**4/5 + 397*x**3 - 17763*x**2/5 - 8297*x - 21736/5 = 0?
-1, 11, 1976
Determine p, given that -2*p**3/11 - 5774*p**2/11 + 11554*p/11 - 5778/11 = 0.
-2889, 1
Factor 3*x**4 - 193*x**3 + 1979*x**2 + 38369*x + 24642.
(x - 37)**2*(x + 9)*(3*x + 2)
Solve 2*m**2/3 + 172172*m + 11116199094 = 0 for m.
-129129
Let -z**3/2 - 37*z**2 + 9*z/2 + 333 = 0. Calculate z.
-74, -3, 3
Factor g**3 + 1536*g**2 + 3069*g + 1534.
(g + 1)**2*(g + 1534)
Factor -x**3/8 - 1715*x**2/8 - 63763*x/8 - 62049/8.
-(x + 1)*(x + 37)*(x + 1677)/8
Factor 5*j**5 - 20915*j**4 - 20920*j**3.
5*j**3*(j - 4184)*(j + 1)
Factor t**2/4 + 19*t/4 + 15.
(t + 4)*(t + 15)/4
What is s in -s**3 - 1723*s**2 + 5178*s = 0?
-1726, 0, 3
Let i**3/11 + 266*i**2/11 + 4693*i/11 = 0. Calculate i.
-247, -19, 0
What is b in b**4 + 261*b**3 - 21183*b**2 + 511543*b - 4015110 = 0?
-330, 23
Factor -4*y**3 + 976*y**2 - 59344*y + 114816.
-4*(y - 138)*(y - 104)*(y - 2)
Factor 4*z**3 - 556*z**2 + 11360*z - 36800.
4*(z - 115)*(z - 20)*(z - 4)
Let 4*z**3/9 - 88190*z**2/9 - 132292*z/9 - 44098/9 = 0. What is z?
-1, -1/2, 22049
Find s, given that -3*s**3 - 321*s**2 + 1254*s + 29040 = 0.
-110, -8, 11
Find a such that 8*a**3 - 1358*a**2 + 9974*a + 11340 = 0.
-1, 35/4, 162
Solve 3*g**4 - 2727*g**3 + 644859*g**2 - 11335485*g + 10693350 = 0 for g.
1, 18, 445
Solve -w**2/2 - 24419*w - 596287561/2 = 0.
-24419
What is h in 20*h**3 + 59568*h**2 - 155036*h - 71544 = 0?
-2981, -2/5, 3
Suppose -2*r**2/7 - 2642*r/7 + 78300/7 = 0. Calculate r.
-1350, 29
Let 3*x**2/5 - 4698*x/5 + 65184/5 = 0. What is x?
14, 1552
Factor -3*s**5 + 64005*s**4 + 256050*s**3 + 384090*s**2 + 256065*s + 64017.
-3*(s - 21339)*(s + 1)**4
Factor -z**3/5 + 136*z**2/5 - 5904*z/5 + 82944/5.
-(z - 64)*(z - 36)**2/5
Factor 4*l**2 + 298540*l.
4*l*(l + 74635)
Factor -3*r**3 + 81*r**2 + 171*r + 87.
-3*(r - 29)*(r + 1)**2
Factor 3*t**2/4 + 29199*t/2 - 759681/4.
3*(t - 13)*(t + 19479)/4
Suppose 4*z**5 + 356*z**4 - 4576*z**3 - 136640*z**2 + 743424*z + 14303232 = 0. Calculate z.
-97, -12, 16
Let -15279*f**3 - 1100094*f**2 - 19802016*f - 7776 = 0. Calculate f.
-36, -2/5093
Let -2*n**4 - 832*n**3 - 6560*n**2 - 13056*n = 0. What is n?
-408, -4, 0
Suppose h**4 + 1300*h**3 + 1298*h**2 - 1300*h - 1299 = 0. Calculate h.
-1299, -1, 1
Let 12*z**4 + 5912*z**3 + 29488*z**2/3 + 4584*z + 1964/3 = 0. Calculate z.
-491, -1, -1/3
Factor 3*i**3 - 3696*i**2 - 11109*i - 7410.
3*(i - 1235)*(i + 1)*(i + 2)
Find l such that 3*l**4 - 573*l**3 + 23445*l**2 - 285375*l + 262500 = 0.
1, 25, 140
Factor -290163*s**2 + 2817660*s - 6840300.
-3*(311*s - 1510)**2
Factor -y**2/2 + 749997*y - 562495500009/2.
-(y - 749997)**2/2
Factor t**3/7 + 368308*t**2/7 - 736619*t/7 + 368310/7.
(t - 1)**2*(t + 368310)/7
Determine t, given that -5*t**4 - 13840*t**3 - 9577280*t**2 = 0.
-1384, 0
Solve -h**5 + 28*h**4 + 211*h**3 - 7258*h**2 - 8316*h + 43560 = 0.
-15, -3, 2, 22
Factor -2*t**2 + 1592*t - 15720.
-2*(t - 786)*(t - 10)
Factor -f**4 + 2992*f**3 + 5992*f**2 - 11968*f - 23952.
-(f - 2994)*(f - 2)*(f + 2)**2
Find w, given that 8*w**3 - 3076*w**2 + 10680*w - 4572 = 0.
1/2, 3, 381
Let -3*l**5/5 + 2037*l**4/5 - 348822*l**3/5 + 1032252*l**2/5 - 685464*l/5 = 0. Calculate l.
0, 1, 2, 338
Suppose -3*y**3 - 177*y**2 - 3381*y - 20631 = 0. Calculate y.
-23, -13
Solve 3*u**3 - 81*u**2 - 894*u + 6120 = 0 for u.
-12, 5, 34
Factor -3*w**2/8 + 1179*w - 103389/8.
-3*(w - 3133)*(w - 11)/8
Factor -5*o**3 - 79910*o**2 - 639040*o - 1277920.
-5*(o + 4)**2*(o + 15974)
Factor -5*o**3/4 - 3565*o**2/4 - 17575*o/2.
-5*o*(o + 10)*(o + 703)/4
Factor 2*g**2/5 + 632*g/5 - 3864/5.
2*(g - 6)*(g + 322)/5
Factor -2*u**3/3 + 260*u**2/3 + 20350*u/3.
-2*u*(u - 185)*(u + 55)/3
Solve q**4 - 178*q**3/3 + 517*q**2 - 1532*q/3 - 588 = 0 for q.
-2/3, 2, 9, 49
Factor 103*i**2/4 + 21525*i/2 - 418.
(i + 418)*(103*i - 4)/4
Factor -2*u**3/7 + 1986*u**2/7 - 1690*u - 1974.
-2*(u - 987)*(u - 7)*(u + 1)/7
Suppose 5*q**4 - 99935*q**3 + 665533575*q**2 - 1475039981125*q - 11842965185000 = 0. What is q?
-8, 6665
Factor n**5/2 + 367*n**4/2 - 3*n**3 - 1097*n**2 + 2933*n/2 - 1101/2.
(n - 1)**3*(n + 3)*(n + 367)/2
Find a, given that 15*a**2 - 455523*a/2 - 455553/2 = 0.
-1, 151851/10
Factor 5*k**2/6 - 3599*k/6 - 721.
(k - 721)*(5*k + 6)/6
Determine q so that 4*q**2 + 5968*q - 41972 = 0.
-1499, 7
Suppose 2*w**4/3 + 95288*w**3 + 4539901472*w**2 + 216299065731968*w/3 = 0. Calculate w.
-47644, 0
Factor -4*n**2/3 + 41552*n/3 + 13852.
-4*(n - 10389)*(n + 1)/3
Find v, given that -4*v**5/7 - 616*v**4 + 8644*v**3/7 + 616*v**2 - 8640*v/7 = 0.
-1080, -1, 0, 1, 2
Determine o so that -4*o**2 - 237320*o - 474624 = 0.
-59328, -2
Find k, given that -5*k**5 + 1090*k**4 + 1120*k**3 - 5490*k**2 + 3285*k = 0.
-3, 0, 1, 219
Determine f so that f**5/3 - 475*f**4/3 + 6443*f**3/3 + 5491*f**2/3 - 64240*f - 138300 = 0.
-3, 10, 461
Determine m so that -m**2/4 - 243*m/2 - 482 = 0.
-482, -4
Determine a, given that -80541*a**3 + 15585*a**2 + 532*a - 4 = 0.
-2/57, 1/157, 2/9
Solve 3*k**4/5 + 24*k**3/5 - 3*k**2/5 - 204*k/5 - 252/5 = 0.
-7, -2, 3
Factor -x**3 - 198*x**2 - 8585*x - 31236.
-(x + 4)*(x + 57)*(x + 137)
Find n such that 2*n**2 - 552*n - 13112 = 0.
-22, 298
Factor -s**3 - 420*s**2 - 44928*s - 173056.
-(s + 4)*(s + 208)**2
Factor -2*b**3/7 + 522*b**2/7 - 520*b/7.
-2*b*(b - 260)*(b - 1)/7
Let -3*f**2 + 13704*f - 68445 = 0. Calculate f.
5, 4563
Find y such that y**3 - 5*y**2 + 8*y - 4 = 0.
1, 2
Determine l, given that -56*l**5 + 474*l**4/5 - 34*l**3 - 24*l**2/5 = 0.
-3/28, 0, 4/5, 1
Let -3*z**5/7 + 45*z**4 + 333*z**3/7 - 35295*z**2/7 + 4950*z = 0. Calculate z.
-11, 0, 1, 10, 105
Factor -5*j**3 - 60*j**2 + 425*j + 1680.
-5*(j - 7)*(j + 3)*(j + 16)
Factor -2*z**2 - 32050*z/3 - 21364/3.
-2*(z + 5341)*(3*z + 2)/3
Suppose h**3 - 171*h**2 + 2924*h + 14496 = 0. Calculate h.
-4, 24, 151
Determine k, given that -25*k**5 - 1770*k**4 + 19805*k**3 - 67890*k**2 + 77600*k - 12960 = 0.
-81, 1/5, 2, 4
Let -q**3 - 1049*q**2 - 66775*q - 65727 = 0. What is q?
-981, -67, -1
Factor -r**2/5 - 10753*r/5.
-r*(r + 10753)/5
Factor -o**2/3 - 5380*o/3 + 30583.
-(o - 17)*(o + 5397)/3
Factor 204*m**2 + 38948*m - 3056.
4*(m + 191)*(51*m - 4)
Determine l so that -72*l**3 + 23637*l**2 - 6870*l - 5904 = 0.
-3/8, 2/3, 328
Factor 5*y**2 + 267425*y + 534830.
5*(y + 2)*(y + 53483)
Determine w, given that 9900*w**3 + 55320*w**2 + 59984*w - 50784 = 0.
-46/15, 6/11
Solve 3*w**5/5 - 627*w**4 + 3117*w**3/5 + 15651*w**2/5 + 9396*w/5 = 0 for w.
-1, 0, 3, 1044
Factor 1343*n**3 + 596294*n**2 + 888*n.
n*(n + 444)*(1343*n + 2)
Suppose 5*g**5/3 + 190*g**4 + 9340*g**3/3 + 10050*g**2 + 7125*g = 0. Calculate g.
-95, -15, -3, -1, 0
What is p in -2*p**3 + 692*p**2 - 20590*p - 21284 = 0?
-1, 34, 313
Solve -315844*z**4/7 + 6953064*z**3/7 - 98928*z**2/7 + 352*z/7 = 0 for z.
0, 2/281, 22
Solve -5*w**2 + 4903430*w - 1202181288245 = 0.
490343
Determine z, given that -z**2/2 - 2782*z - 3869762 = 0.
-2782
Solve n**4 - 77*n**3 - 28*n**2 + 2108*n + 3696 = 0.
-4, -2, 6, 77
Suppose -2*o**5 + 436306*o**4 - 23795147550*o**3 - 23795583858*o**2 = 0. What is o?
-1, 0, 109077
Let 87*p**4/2 - 171*p**3/2 + 81*p**2/2 + 3*p/2 = 0. Calculate p.
-1/29, 0, 1
Let -5*q**3 + 78500*q**2 = 0. What is q?
0, 15700
Let 11*z**3 - 1653*z**2 - 8075*z + 2325 = 0. Calculate z.
-5, 3/11, 155
Factor -3*o**2/8 + 4203*o/2 - 8403/2.
-3*(o - 5602)*(o - 2)/8
Solve 80*a**5/9 + 404*a**4/9 + 326*a**3/9 - 52*a**2/9 - 46*a/9 + 8/9 = 0 for a.
-4, -1, -1/2, 1/5, 1/4
Let 30*w**5 + 369*w**4/2 + 294*w**3 + 285*w**2/2 - 9*w - 12 = 0. Calculate w.
-4, -1, -2/5, 1/4
Let 3*m**5/7 - 48*m**4/7 + 261*m**3/7 - 564*m**2/7 + 60*m = 0. Calculate m.
0, 2, 5, 7
Determine v so that -2*v**3 - 434*v**2 - 844*v + 3440 = 0.
-215, -4, 2
Factor -2*u**3 + 14*u**2 + 