80*k + 23879578320.
5*(k + 69108)**2
Solve 3*n**5 + 2739*n**4 + 2736*n**3 = 0 for n.
-912, -1, 0
Factor d**4/7 - 3116*d**3/7 + 15559*d**2/7 - 12444*d/7.
d*(d - 3111)*(d - 4)*(d - 1)/7
Find c such that -c**4/4 - 698*c**3 - 440484*c**2 + 65221120*c - 2182758400 = 0.
-1460, 64
Let 18*g**3/13 + 80906*g**2/13 + 143768*g/13 - 35944/13 = 0. Calculate g.
-4493, -2, 2/9
Factor 3*z**2/2 - 437148*z + 31849728984.
3*(z - 145716)**2/2
Factor -4*p**3 - 86*p**2/3 - 112*p/3 + 160/3.
-2*(p + 4)**2*(6*p - 5)/3
Let -5*s**2 + 515*s - 13050 = 0. Calculate s.
45, 58
Factor -a**5 - 3094*a**4 - 12364*a**3 - 12360*a**2.
-a**2*(a + 2)**2*(a + 3090)
Determine n, given that n**5/5 + 267*n**4/5 - 18*n**3/5 - 4838*n**2/5 - 8559*n/5 - 801 = 0.
-267, -3, -1, 5
Factor 4*g**2 + 5220*g + 982224.
4*(g + 228)*(g + 1077)
Factor 2*r**2 + 316*r - 1968.
2*(r - 6)*(r + 164)
Let 2*a**3/13 - 13044*a**2/13 - 91466*a/13 + 391740/13 = 0. Calculate a.
-10, 3, 6529
Determine y so that -2*y**4 + 128*y**3 - 670*y**2 - 48800*y - 48000 = 0.
-15, -1, 40
Find b such that -4*b**4 + 331*b**3 + 1150*b**2 - 2767*b + 1290 = 0.
-5, 3/4, 1, 86
Factor -2*q**3 - 412*q**2 - 4558*q + 88780.
-2*(q - 10)*(q + 23)*(q + 193)
Determine p, given that -p**3 + 22062*p**2 + 44127*p + 22064 = 0.
-1, 22064
Determine h, given that h**2/5 + 459*h/5 - 922/5 = 0.
-461, 2
Suppose -m**2/7 - 2571*m/7 + 10300/7 = 0. Calculate m.
-2575, 4
Find p such that -5*p**3/6 + 1613*p**2/6 - 1603*p/3 = 0.
0, 2, 1603/5
What is q in -2*q**4 - 46155*q**3/2 + 11539*q**2/2 = 0?
-11539, 0, 1/4
Factor -w**3/7 - 25461*w**2/7 + 7275*w - 25463/7.
-(w - 1)**2*(w + 25463)/7
Solve 24*n**4/5 + 2382*n**3/5 - 9198*n**2/5 + 1488*n + 2472/5 = 0.
-103, -1/4, 2
Suppose p**4/11 + 67025*p**3/11 + 268089*p**2/11 + 335107*p/11 + 134042/11 = 0. Calculate p.
-67021, -2, -1
Suppose 1472842845*h**3 - 1473014475*h**2 + 171635*h - 5 = 0. Calculate h.
1/17163, 1
Let 3*h**2 - 31974*h + 85194723 = 0. Calculate h.
5329
Solve -2*t**3 - 31448*t**2 + 125816*t - 125824 = 0.
-15728, 2
Factor 2*x**2 - 15524*x - 186576.
2*(x - 7774)*(x + 12)
Find h, given that -4*h**3/3 + 172*h**2/3 + 9476*h/3 + 3100 = 0.
-31, -1, 75
Let p**2/2 + 57453*p + 3300847209/2 = 0. Calculate p.
-57453
Factor -4*p**4 - 34432*p**3 - 73022584*p**2 + 4627144320*p - 72237312900.
-4*(p - 31)**2*(p + 4335)**2
Factor -2*y**2/5 + 124198*y/5 + 248404/5.
-2*(y - 62101)*(y + 2)/5
Determine i so that -i**3/6 - i**2/6 + 242*i/3 + 242/3 = 0.
-22, -1, 22
Determine r so that 9*r**5 - 627*r**4 + 4893*r**3 - 8181*r**2 - 3294*r = 0.
-1/3, 0, 3, 6, 61
Factor -36*i**3 + 2204*i**2 + 25072*i - 5680.
-4*(i - 71)*(i + 10)*(9*i - 2)
Find d, given that 2*d**3 - 26*d**2 - 13026*d + 13050 = 0.
-75, 1, 87
Factor -4*f**2 - 131136*f + 918148.
-4*(f - 7)*(f + 32791)
Factor -4*p**2 + 31020*p + 124144.
-4*(p - 7759)*(p + 4)
Factor 3867*w**4 - 3873*w**3 + 6*w**2.
3*w**2*(w - 1)*(1289*w - 2)
Factor -5*t**3/2 - 3320*t**2 - 19875*t/2.
-5*t*(t + 3)*(t + 1325)/2
What is f in 375*f**4 + 179100*f**3 + 28512720*f**2 + 1513075008*f = 0?
-796/5, 0
Solve 2*p**4/17 + 386*p**3/17 - 786*p**2/17 - 1170*p/17 = 0 for p.
-195, -1, 0, 3
Let 5*h**5 + 3770*h**4 + 916740*h**3 + 63633710*h**2 - 2022156745*h - 2084877480 = 0. What is h?
-259, -1, 24
Determine k, given that 5*k**4/3 - 110*k**3/3 - 125*k**2/3 + 230*k/3 = 0.
-2, 0, 1, 23
Factor -3*i**3/2 - 4275*i**2/2 - 1520829*i/2 + 1525107/2.
-3*(i - 1)*(i + 713)**2/2
Factor 13*p**2 + 131*p + 330.
(p + 5)*(13*p + 66)
Let 13*a**4/4 + 205*a**3 - 5215*a**2/4 + 3385*a/2 + 138 = 0. Calculate a.
-69, -1/13, 2, 4
Factor -2*w**3/7 - 3268*w**2 - 66184770*w/7 - 4395414600/7.
-2*(w + 68)*(w + 5685)**2/7
Let 3*x**4 - 34176*x**3 - 3059622*x**2 - 66653280*x + 69747075 = 0. Calculate x.
-45, 1, 11481
Determine k, given that -12*k**4 - 10120*k**3 - 3296*k**2 + 64008*k - 50580 = 0.
-843, -3, 1, 5/3
Factor 3*r**3/4 - 1068*r**2 + 1598751*r/4 - 27374193/2.
3*(r - 693)**2*(r - 38)/4
What is p in -183*p**5 + 423*p**4 + 69*p**3 - 423*p**2 + 114*p = 0?
-1, 0, 19/61, 1, 2
Solve -5*b**5 + 1885*b**4 - 9325*b**3 + 9275*b**2 + 9330*b - 11160 = 0 for b.
-1, 1, 2, 3, 372
Find r such that -3*r**2 + 9108*r + 27351 = 0.
-3, 3039
Factor -i**5 + 55*i**4 - 562*i**3 + 480*i**2 + 8064*i.
-i*(i - 42)*(i - 8)**2*(i + 3)
Suppose -2*w**2/5 - 352*w/3 - 9010/3 = 0. Calculate w.
-265, -85/3
Let -2*o**5/3 - 326*o**4/3 + 8590*o**3 + 28694*o**2/3 - 204736*o/3 - 104312 = 0. What is o?
-221, -2, 3, 59
Suppose -c**2/3 - 10879*c/3 - 10876 = 0. Calculate c.
-10876, -3
Factor -v**2 + 1828*v + 3660.
-(v - 1830)*(v + 2)
Factor -w**2/5 + 457*w/5 - 24822/5.
-(w - 394)*(w - 63)/5
Factor 2*t**2 - 132*t - 6534.
2*(t - 99)*(t + 33)
Suppose m**3 - 711*m**2 + 135432*m - 3158028 = 0. Calculate m.
27, 342
Let -k**4 + 7684*k**3 - 92112*k**2 + 368320*k - 491008 = 0. What is k?
4, 7672
Determine n so that 88040689*n**3 + 968410047*n**2 - 412848*n + 44 = 0.
-11, 2/9383
Factor -v**3 + 153*v**2 - 1959*v + 1807.
-(v - 139)*(v - 13)*(v - 1)
Determine c so that -3*c**5/2 - 4*c**4 - 2*c**3 + 3*c**2 + 7*c/2 + 1 = 0.
-1, -2/3, 1
Let 45*c**3 - 9231*c**2 + 97260*c - 12804 = 0. Calculate c.
2/15, 11, 194
Suppose -p**5/4 - 17*p**4/4 + 117*p**3/2 - 459*p**2/2 + 1431*p/4 - 729/4 = 0. What is p?
-27, 1, 3
Determine i, given that 10*i**4 + 2706*i**3 - 1094*i**2 - 2706*i + 1084 = 0.
-271, -1, 2/5, 1
Determine r, given that -2*r**3/3 - 13528*r**2/3 + 2*r/3 + 13528/3 = 0.
-6764, -1, 1
Factor d**3 + 137*d**2 + 646*d - 1848.
(d - 2)*(d + 7)*(d + 132)
Find r such that -3*r**2 + 483*r + 3528 = 0.
-7, 168
Find o, given that 2*o**2/7 + 250172*o + 54762775886 = 0.
-437801
Let -2*d**3/7 + 4898*d**2/7 + 9802*d/7 + 4902/7 = 0. Calculate d.
-1, 2451
Find s, given that -4*s**4/3 + 448*s**3/3 - 3700*s**2 + 12912*s - 9360 = 0.
1, 3, 30, 78
Suppose 4*m**4 - 116*m**3 - 420*m**2 + 1172*m - 640 = 0. What is m?
-5, 1, 32
Factor 5*c**3 + 210*c**2 - 275*c - 2580.
5*(c - 4)*(c + 3)*(c + 43)
Factor c**3/6 + 19*c**2/3 - 15*c/2 - 39.
(c - 3)*(c + 2)*(c + 39)/6
Solve -o**2/2 - 630*o - 7488 = 0.
-1248, -12
Factor -3*m**2 - 937860*m - 73298448300.
-3*(m + 156310)**2
Factor 67*j**2 + 23049*j + 344.
(j + 344)*(67*j + 1)
Factor -h**2/3 + 515*h/3 + 1034/3.
-(h - 517)*(h + 2)/3
Find g, given that -g**3 + 2875*g**2 - 17223*g + 25821 = 0.
3, 2869
Let 3*h**3 - 40356*h**2 + 135878508*h - 1084446816 = 0. Calculate h.
8, 6722
Factor 4*f**4 - 7108*f**3 + 3147048*f**2 + 9490960*f + 6336800.
4*(f - 890)**2*(f + 1)*(f + 2)
Factor 5*d**3 + 1690*d**2 + 14755*d - 16450.
5*(d - 1)*(d + 10)*(d + 329)
Factor -5*h**3 + 95*h**2 - 220*h - 320.
-5*(h - 16)*(h - 4)*(h + 1)
Factor g**2 - 70857*g + 70856.
(g - 70856)*(g - 1)
Factor u**3/3 - 245*u**2/3 + 728*u/3 - 484/3.
(u - 242)*(u - 2)*(u - 1)/3
Factor 191*m**3 + 4585*m**2 + 24*m.
m*(m + 24)*(191*m + 1)
Factor 3*v**2/7 - 72*v/7 - 48.
3*(v - 28)*(v + 4)/7
Solve 2*i**5/21 - 74*i**4/21 - 582*i**3/7 - 682*i**2/3 - 4616*i/21 - 72 = 0.
-14, -1, 54
Factor -y**2 + 1671*y - 164430.
-(y - 1566)*(y - 105)
Let -j**3 + 7884*j**2 + j - 7884 = 0. What is j?
-1, 1, 7884
What is i in 50*i**5/13 + 13530*i**4/13 + 61522*i**3/13 + 91134*i**2/13 + 43092*i/13 = 0?
-266, -9/5, -1, 0
Find n, given that -5*n**5/3 + 191*n**4/3 - 587*n**3 - 563*n**2/3 + 4946*n/3 + 1184 = 0.
-1, 2, 16, 111/5
Suppose 2*v**4/7 - 82*v**3 + 41754*v**2/7 - 81794*v/7 + 40612/7 = 0. Calculate v.
1, 142, 143
Find l, given that 7*l**5 - 452*l**4 + 55892*l**3/7 - 313408*l**2/7 + 165696*l/7 - 23040/7 = 0.
2/7, 12, 40
Suppose -18*v**5 + 1992*v**4 - 58922*v**3 + 542620*v**2 - 342400*v + 56000 = 0. Calculate v.
1/3, 20, 70
Factor -8*x**3 - 660*x**2 - 10353*x/2 - 10693.
-(x + 74)*(4*x + 17)**2/2
Solve -3*a**5/4 - 3*a**4 + 417*a**3/2 - 600*a**2 + 2361*a/4 - 195 = 0.
-20, 1, 13
Factor t**2/2 + 843*t + 1685/2.
(t + 1)*(t + 1685)/2
Find q such that 5*q**3/6 - 111725*q**2/2 + 223445*q/2 - 335165/6 = 0.
1, 67033
Suppose -6962*i**2 - 708*i - 18 = 0. What is i?
-3/59
Factor o**3/5 + 276*o**2/5 - 1692*o/5.
o*(o - 6)*(o + 282)/5
Solve 4*w**2 - 11556*w - 671688 = 0.
-57, 2946
Suppose -2*a**4/9 + 72986*a**3/3 + 656888*a**2/9 + 145976*a/3 = 0. Calculate a.
-2, -1, 0, 109482
Let 2*z**5/11 + 1208*z**4/11 + 6002*z**3/11 + 7188*z**2/11 = 0. What is z?
-599, -3, -2, 0
Factor -2*c**2/7 - 1197892*c/7 - 179368155458/7.
-2*(c + 299473)**2/7
Factor 5*v**2/3 - 7385*v/3 + 2723660/3.
