5*m**4 + 17400*m**3 - 193500*m**2.
5*m**2*(m - 43)*(m - 30)**2
Let -3*c**4 + 63*c**3 + 3108*c**2 + 5940*c = 0. Calculate c.
-22, -2, 0, 45
Factor n**2/5 + 94*n - 3824/5.
(n - 8)*(n + 478)/5
Factor -l**2/10 + 37341*l/10 + 18673.
-(l - 37346)*(l + 5)/10
Let -l**2/3 + l + 1026 = 0. Calculate l.
-54, 57
Factor c**3/9 - 4099*c**2/9 + 5456*c/3 + 5460.
(c - 4095)*(c - 6)*(c + 2)/9
Factor -4*i**4 - 120*i**3 - 612*i**2 - 864*i.
-4*i*(i + 3)**2*(i + 24)
Solve -4*u**4 - 25*u**3 + 94*u**2 - 47*u - 18 = 0.
-9, -1/4, 1, 2
Suppose -i**2/2 - 9316*i - 43393928 = 0. What is i?
-9316
Factor 3*p**4 + 51*p**3 - 2097*p**2 + 11649*p + 13794.
3*(p - 11)**2*(p + 1)*(p + 38)
Factor -s**3/4 + 951*s**2/4 - 46675*s/2 + 23100.
-(s - 840)*(s - 110)*(s - 1)/4
Solve c**5 - 505*c**4 + 64509*c**3 - 190007*c**2 + 126002*c = 0 for c.
0, 1, 2, 251
Determine g so that -1296*g**4/7 + 993960*g**3/7 + 1050551*g**2/7 + 8009*g + 768/7 = 0.
-1, -1/36, 768
Let -2*n**4 + 582*n**3 + 16300*n**2 + 58152*n + 55792 = 0. What is n?
-22, -2, 317
Factor -111375*p**3 + 2227505*p**2 - 11137600*p + 500.
-5*(p - 10)**2*(22275*p - 1)
Solve -3*j**3 + 93*j**2 + 10260*j = 0.
-45, 0, 76
Find t such that -5*t**3 - 69385*t**2 = 0.
-13877, 0
Let -h**5/3 + 9*h**4 - 194*h**3/3 - 198*h**2 + 3969*h - 11907 = 0. Calculate h.
-7, 7, 9
What is o in 2*o**4/15 - 1598*o**3/15 + 74930*o**2/3 - 5437250*o/3 - 1837500 = 0?
-1, 175, 450
Solve r**5/2 - 150*r**4 + 26517*r**3/2 - 299039*r**2 + 1680480*r + 4665600 = 0.
-2, 16, 135
Factor -4*a**3 + 155828*a**2 + 311668*a + 155836.
-4*(a - 38959)*(a + 1)**2
Factor 2*m**3/3 + 33946*m**2/3 - 67898*m/3 + 33950/3.
2*(m - 1)**2*(m + 16975)/3
Factor 4*m**3 - 7144*m**2 + 3182640*m + 6393888.
4*(m - 894)**2*(m + 2)
Determine t so that 2*t**2/3 - 122278*t/3 + 81516 = 0.
2, 61137
Determine d, given that -98*d**5 - 6482*d**4 - 128468*d**3 - 648420*d**2 + 726102*d + 7674966 = 0.
-29, -39/7, 3
Determine u, given that 3*u**4/4 - 299*u**3/4 - 709*u**2/4 - 509*u/4 - 51/2 = 0.
-1, -1/3, 102
Let 2*i**5/17 - 16462*i**4/17 + 16460*i**3/17 = 0. What is i?
0, 1, 8230
Factor z**2 + 637*z - 41064.
(z - 59)*(z + 696)
Solve 185*k**3 - 265*k**2 + 80*k = 0 for k.
0, 16/37, 1
Factor a**2/7 - 5728*a/7 - 5735.
(a - 5735)*(a + 7)/7
Determine c, given that 5*c**5 + 1630*c**4 + 7990*c**3 - 11260*c**2 - 7995*c + 9630 = 0.
-321, -6, -1, 1
Suppose 16*m**5/7 - 55520*m**4/7 - 12*m**3/7 + 41644*m**2/7 - 13880*m/7 = 0. What is m?
-1, 0, 1/2, 3470
Let y**4/4 - 251*y**3/4 + 1949*y**2/4 - 1201*y/4 - 1701/2 = 0. What is y?
-1, 2, 7, 243
Factor n**5 + 9*n**4 - 22*n**3 + 2*n**2 + 21*n - 11.
(n - 1)**3*(n + 1)*(n + 11)
Solve w**3 + 12412*w**2 + 148787*w - 161200 = 0 for w.
-12400, -13, 1
Determine d, given that -3*d**2/2 + 3474*d - 2011446 = 0.
1158
Determine a so that -3*a**4 - 6702*a**3 + 33567*a**2 - 40302*a = 0.
-2239, 0, 2, 3
Suppose -2*r**3/9 - 18448*r**2/9 + 92278*r/9 - 36916/3 = 0. What is r?
-9229, 2, 3
What is s in -2*s**5/13 + 116*s**4/13 + 1288*s**3/13 + 4788*s**2/13 + 7290*s/13 + 3672/13 = 0?
-3, -1, 68
Suppose -k**5/3 + 71*k**4/3 - 319*k**3/3 - 10753*k**2 - 87768*k - 171396 = 0. Calculate k.
-9, -3, 46
Factor 2*k**4 - 1516*k**3 - 9144*k**2 - 18320*k - 12224.
2*(k - 764)*(k + 2)**3
Factor -c**3/5 + 143*c**2/5 + 4104*c/5 - 851472/5.
-(c - 108)**2*(c + 73)/5
Suppose 8*a**5/7 - 206*a**4/7 - 60524*a**3/7 + 788594*a**2/7 + 17092128*a + 4265856 = 0. What is a?
-56, -1/4, 69
Factor n**2/3 + 287*n - 8910.
(n - 30)*(n + 891)/3
Factor -w**2 + 6201*w.
-w*(w - 6201)
Suppose 3*s**2/5 - 72897*s/5 - 14580 = 0. Calculate s.
-1, 24300
Determine s, given that 3*s**3 - 12*s**2 - 471*s - 1680 = 0.
-7, -5, 16
Let -3*a**4 - 5307*a**3 + 15948*a**2 - 12*a - 21264 = 0. Calculate a.
-1772, -1, 2
Determine g, given that -3*g**4/4 - 33057*g**3/2 - 33054*g**2 = 0.
-22036, -2, 0
Determine r, given that -2*r**2 + 10952*r + 76762 = 0.
-7, 5483
Factor -4*w**4 + 84144*w**3 - 442681552*w**2 + 1769716608*w - 1769380096.
-4*(w - 10516)**2*(w - 2)**2
Factor 3*x**2/2 + 1791*x/2 + 1785.
3*(x + 2)*(x + 595)/2
Solve a**2/4 - 335*a + 1336 = 0 for a.
4, 1336
Solve 1885*m**2/4 + 75*m = 0.
-60/377, 0
Determine o so that -2*o**4/9 + 16*o**3/3 + 16*o**2 - 576*o - 2592 = 0.
-6, 18
Suppose 4*q**2/3 - 53432*q/3 + 178436164/3 = 0. Calculate q.
6679
Factor -4*y**3 - 332*y**2 + 2164*y + 2492.
-4*(y - 7)*(y + 1)*(y + 89)
Find b such that 2*b**4 - 80*b**3 - 2*b**2 + 80*b = 0.
-1, 0, 1, 40
Find w such that 50*w**5/13 - 36080*w**4/13 + 5658572*w**3/13 + 306773808*w**2/13 + 3614710338*w/13 = 0.
-111/5, 0, 383
Factor h**2/6 + 570229*h/3 + 325161112441/6.
(h + 570229)**2/6
What is r in 5*r**2 + 158585*r - 158590 = 0?
-31718, 1
Determine i, given that 2*i**4/13 - 68*i**3/13 - 726*i**2/13 - 2024*i/13 - 1720/13 = 0.
-5, -2, 43
Factor 2*x**3/11 + 41620*x**2/11 + 216528050*x/11.
2*x*(x + 10405)**2/11
Let -3*y**4/5 + 42591*y**3/5 - 212886*y**2/5 + 85128*y/5 + 340608/5 = 0. Calculate y.
-1, 2, 4, 14192
Factor -2*k**2 + 8068*k - 8136578.
-2*(k - 2017)**2
Determine s so that -17618*s**5/5 + 35232*s**4/5 + 14096*s**3 - 7044*s**2 - 52862*s/5 - 12/5 = 0.
-1, -2/8809, 1, 3
Factor -2*h**2 - 16746*h + 167660.
-2*(h - 10)*(h + 8383)
Factor x**2/6 + 869*x/2 - 77285/3.
(x - 58)*(x + 2665)/6
Find v such that 9*v**3 - 1911*v**2/4 - 36561*v/4 + 765 = 0.
-15, 1/12, 68
Factor 2*o**3/13 + 172552*o**2/13 + 345096*o/13.
2*o*(o + 2)*(o + 86274)/13
Factor 2*j**5 + 2*j**4 - 264*j**3.
2*j**3*(j - 11)*(j + 12)
Factor -5*m**3 + 2030*m**2 - 132275*m + 611250.
-5*(m - 326)*(m - 75)*(m - 5)
Determine v, given that 2*v**3/7 + 3980*v**2 - 111464*v/7 + 111472/7 = 0.
-13934, 2
Factor a**2 - 165*a + 1836.
(a - 153)*(a - 12)
Factor -3*p**3 + 1986*p**2 - 197163*p + 5341356.
-3*(p - 548)*(p - 57)**2
Factor -q**2 + 1869586*q - 873837952849.
-(q - 934793)**2
Find t, given that 2*t**4/5 + 826*t**3/5 + 66816*t**2/5 - 4020088*t/5 - 817216 = 0.
-226, -1, 40
Factor 50290*f**2 - 251435*f - 75.
5*(f - 5)*(10058*f + 3)
Solve 24*u**3/11 + 28926762*u**2/11 + 792383724132*u - 2179057049286/11 = 0 for u.
-602641, 1/4
What is w in -2*w**5/3 - 44*w**4/3 - 100*w**3 - 656*w**2/3 - 578*w/3 - 60 = 0?
-10, -9, -1
Factor -j**5 + 251636*j**4 - 15830420758*j**3 + 31660086612*j**2 - 15829917489*j.
-j*(j - 125817)**2*(j - 1)**2
Factor -j**2 + 868859*j + 868860.
-(j - 868860)*(j + 1)
Solve w**5/3 + w**4 - 25*w**3/3 - 9*w**2 + 36*w + 36 = 0.
-6, -2, -1, 3
Determine j so that 2*j**3/5 + 1368*j**2/5 + 18858*j/5 + 13132 = 0.
-670, -7
Suppose 5*w**4 - 9765*w**3 + 4401840*w**2 + 364299760*w - 368691840 = 0. Calculate w.
-72, 1, 1012
Find r such that 87*r**3 - 2409*r**2 + 5970*r - 3000 = 0.
20/29, 2, 25
Factor 2*m**4/9 + 1076*m**3/3 + 58688*m**2/3 + 2442944*m/9.
2*m*(m + 28)**2*(m + 1558)/9
Let -4*t**4 + 32044*t**3/3 - 56876*t**2 + 60412*t - 42640/3 = 0. What is t?
1/3, 1, 4, 2665
Suppose 2*a**3/5 + 10*a**2 + 174*a/5 + 126/5 = 0. What is a?
-21, -3, -1
Factor -2*u**4/13 - 1988*u**3/13 + 203136*u**2/13 - 6631424*u/13 + 71434240/13.
-2*(u - 32)**3*(u + 1090)/13
Let -2*t**3/9 - 214*t**2/9 + 344*t - 320 = 0. What is t?
-120, 1, 12
Let 1113*x**2 - 510*x - 72 = 0. Calculate x.
-6/53, 4/7
Factor 2*t**2 - 50*t - 235672.
2*(t - 356)*(t + 331)
Let -o**2 + 3569*o - 46228 = 0. Calculate o.
13, 3556
Factor -3*g**2/5 - 813*g/5 + 660.
-3*(g - 4)*(g + 275)/5
Suppose -201*p**3 + 387*p**2 + 30*p = 0. Calculate p.
-5/67, 0, 2
Let -4*x**2 - 9672*x + 87372 = 0. Calculate x.
-2427, 9
Suppose -o**5/2 + 865*o**4/2 - 238387*o**3/2 + 20229411*o**2/2 + 20588724*o + 10354392 = 0. Calculate o.
-1, 171, 348
Let 9*l**2/10 - 19879*l - 198808/5 = 0. What is l?
-2, 198808/9
Solve 125*b**3 + 1199700*b**2 - 479895*b + 47990 = 0.
-9598, 1/5
Solve w**2/2 - 908*w + 1815/2 = 0 for w.
1, 1815
Factor 25004*m**2 + 12*m.
4*m*(6251*m + 3)
Factor -h**3/5 + 582*h**2/5 - 15928*h.
-h*(h - 362)*(h - 220)/5
Factor 2391*p**2 - 26286*p - 165.
3*(p - 11)*(797*p + 5)
Factor -4*c**3/9 + 88*c**2/9 - 356*c/9 + 272/9.
-4*(c - 17)*(c - 4)*(c - 1)/9
Factor -s**5/4 + 94659*s**4/2 - 189317*s**3/4.
-s**3*(s - 189317)*(s - 1)/4
Factor -m**2/4 - 111251*m/4 - 55625/2.
-(m + 1)*(m + 111250)/4
Determine o, given that -o**3 + 7937*o**2 - 15871*o + 7935 = 0.
1, 7935
Solve -2*k**4/3 - 9748*k**3/3 - 445234*k**2/3 - 5108024*k/3 = 0 for k.
-4828, -23, 0
Find i such that -3*i**2 - 3864*i - 1241856 = 0.
-672, -616
Solve