)**2/15
Suppose j**4/3 + 324*j**3 - 1949*j**2/3 - 324*j + 1948/3 = 0. Calculate j.
-974, -1, 1, 2
Factor 2*n**3 + 22800*n**2 - 182496*n + 365056.
2*(n - 4)**2*(n + 11408)
Factor -2*q**2 - 288*q + 3744.
-2*(q - 12)*(q + 156)
Factor 4*w**2/3 + 37592*w/3.
4*w*(w + 9398)/3
Factor -29*x**3/7 + 1194682*x**2/7 - 1757709732*x - 848555208/7.
-(x - 20598)**2*(29*x + 2)/7
Factor 4*a**4 - 672*a**3 + 9116*a**2 + 9792*a.
4*a*(a - 153)*(a - 16)*(a + 1)
Suppose -r**3 - 9113*r**2 + 91214*r - 145968 = 0. Calculate r.
-9123, 2, 8
Solve -d**4/4 - 6923*d**3 = 0 for d.
-27692, 0
Factor -2*k**3/9 + 175690*k**2/9 - 3858635534*k/9 + 3858108482/3.
-2*(k - 43921)**2*(k - 3)/9
Factor t**4 + 440*t**3 + 19584*t**2 + 305152*t + 1605632.
(t + 16)**3*(t + 392)
Find o such that -5*o**5 - 345*o**4 - 5410*o**3 + 18720*o**2 - 12960*o = 0.
-36, 0, 1, 2
Factor 3*g**3 - 15294*g**2 + 19522755*g - 77846508.
3*(g - 2547)**2*(g - 4)
Let -4*x**4 + 1652*x**3 - 194028*x**2 + 4804796*x - 26850016 = 0. Calculate x.
8, 23, 191
Factor -6*y**3 - 32*y**2 + 3482*y - 3444.
-2*(y - 21)*(y - 1)*(3*y + 82)
Determine g so that g**5 - 115*g**4 + 3854*g**3 - 30224*g**2 + 1248*g + 389376 = 0.
-3, 6, 8, 52
Factor 3*g**2 - 9069*g - 9072.
3*(g - 3024)*(g + 1)
Factor -2*j**2 - 254688*j - 8108247168.
-2*(j + 63672)**2
Solve -5*b**4 + 30*b**3 + 165*b**2 - 230*b - 360 = 0 for b.
-4, -1, 2, 9
What is v in -4*v**4 + 3332*v**3 + 10072*v**2 - 33440*v = 0?
-5, 0, 2, 836
What is o in o**3 + 10*o**2 - 775*o + 3500 = 0?
-35, 5, 20
Determine p so that p**3/4 - 325*p**2/4 + 643*p/4 + 969/4 = 0.
-1, 3, 323
Solve -u**3/6 - 275*u**2/6 - 12136*u/3 - 347726/3 = 0.
-127, -74
Solve -1796*h**2 - 12560*h + 84 = 0 for h.
-7, 3/449
Find o, given that 13778*o**3/3 - 316728*o**2 - 22905*o/2 - 207/2 = 0.
-3/166, 69
Factor -185*a**2 + 2004300*a - 108340.
-5*(a - 10834)*(37*a - 2)
Let -6*r**4 + 2486176*r**3 - 772636374044*r**2/3 + 515088429856*r/3 - 85847933522/3 = 0. Calculate r.
1/3, 207181
Solve -2*u**4/7 - 1178*u**3/7 + 6*u**2/7 + 3538*u/7 + 2356/7 = 0 for u.
-589, -1, 2
Determine h so that h**3/4 - 4817*h**2/4 - 1205*h + 2409 = 0.
-2, 1, 4818
Determine x, given that 5*x**2 - 1305*x + 62370 = 0.
63, 198
Factor -3*s**2 - 5676378*s - 2685105599907.
-3*(s + 946063)**2
Find w, given that 5*w**3 + 1515*w**2 + 5920*w - 17940 = 0.
-299, -6, 2
Factor l**4/3 - 49*l**3/3 - 400*l**2/3 + 448*l/3.
l*(l - 56)*(l - 1)*(l + 8)/3
Solve d**2 + 78*d = 0 for d.
-78, 0
What is n in -n**2/4 - 353*n/4 + 2162 = 0?
-376, 23
Factor 4*r**4 + r**3/2 - 108*r**2 - 459*r/2 - 27.
(r - 6)*(r + 3)**2*(8*r + 1)/2
What is l in -l**2/4 - 1045*l/4 - 17514 = 0?
-973, -72
Let -4*y**3 - 504*y**2 + 4548*y + 34840 = 0. What is y?
-134, -5, 13
Determine b so that -b**2/2 - 41*b/2 + 420 = 0.
-56, 15
Factor -d**2/7 - 130808*d/7 - 4277683216/7.
-(d + 65404)**2/7
Determine k, given that 17*k**5 - 115*k**4/2 + 3*k**3/2 + 121*k**2/2 - 37*k/2 - 3 = 0.
-1, -2/17, 1/2, 1, 3
Factor -l**5 - 40*l**4 - 216*l**3 - 418*l**2 - 343*l - 102.
-(l + 1)**3*(l + 3)*(l + 34)
Let a**2 - 20064*a - 140497 = 0. What is a?
-7, 20071
Factor 2*o**2 + 2312*o + 18368.
2*(o + 8)*(o + 1148)
Determine i so that 2*i**3 + 33036*i**2 + 136455192*i + 272778256 = 0.
-8258, -2
Factor 3*n**3 - 45*n**2 - 174*n + 2016.
3*(n - 16)*(n - 6)*(n + 7)
Find l such that -2*l**2 - 2842*l - 278780 = 0.
-1315, -106
Solve -2*o**2/3 - 676988*o/3 - 57289094018/3 = 0 for o.
-169247
Factor -4*j**3 - 6096*j**2 - 2334720*j - 9241600.
-4*(j + 4)*(j + 760)**2
Let -1722*m**3 + 6670*m**2 + 876*m - 16 = 0. What is m?
-1/7, 2/123, 4
Let -5*g**5 + 3340*g**4 - 39535*g**3 + 114740*g**2 + 39540*g - 118080 = 0. What is g?
-1, 1, 6, 656
Factor 3*j**2 - 447*j - 21996.
3*(j - 188)*(j + 39)
Factor k**3/3 + 256*k**2/3 - 704*k.
k*(k - 8)*(k + 264)/3
Find n, given that -963*n**4/4 - 1927*n**3/2 + 18289*n**2/4 - 3361*n - 7 = 0.
-7, -2/963, 1, 2
Find o, given that -o**4/7 - 18*o**3/7 + 319*o**2/7 + 156*o = 0.
-28, -3, 0, 13
Find o such that o**3/7 - 3552*o**2/7 + 21260*o/7 + 56736/7 = 0.
-2, 8, 3546
What is c in c**4/4 - 39*c**3 + 1936*c**2 - 28644*c - 65348 = 0?
-2, 34, 62
Suppose -4*y**5/3 + 190*y**4/3 + 358*y**3/3 - 3022*y**2/3 - 1886*y + 1176 = 0. What is y?
-3, 1/2, 4, 49
Factor -3*b**3/5 - 431208*b**2/5 - 15495459471*b/5 - 30989194134/5.
-3*(b + 2)*(b + 71867)**2/5
Solve -922*c**2/19 + 5934*c/19 + 3640/19 = 0.
-260/461, 7
Suppose d**3 - 4877*d**2 + 97159*d - 92283 = 0. What is d?
1, 19, 4857
Factor -s**2/3 + 1046*s/3 - 2768.
-(s - 1038)*(s - 8)/3
Determine p so that 5*p**4 + 160*p**3 - 8575*p**2 + 16470*p = 0.
-61, 0, 2, 27
Let 4*z**3 - 5820*z**2 + 11628*z - 5812 = 0. What is z?
1, 1453
Solve o**3 - 410848*o**2 + 42199430621*o - 84397217858 = 0.
2, 205423
What is o in 470*o**2/11 - 9874*o/11 + 84/11 = 0?
2/235, 21
Solve -2*r**3 - 6138*r**2/7 + 37262*r/7 - 31110/7 = 0.
-3111/7, 1, 5
Suppose -d**2 + 13778*d = 0. What is d?
0, 13778
Let -c**3/4 + 1347*c**2/4 - 12753*c = 0. Calculate c.
0, 39, 1308
Factor x**3/6 + 7729*x**2/3 + 59737441*x/6.
x*(x + 7729)**2/6
Suppose 2*o**3/3 - 1609*o**2 - 55745*o/3 - 24250 = 0. What is o?
-10, -3/2, 2425
Factor 3*a**4 - 9267*a**3 - 37104*a**2 - 37116*a.
3*a*(a - 3093)*(a + 2)**2
Let 20*z**4 + 675*z**3 - 1450*z**2 - 675*z + 1430 = 0. Calculate z.
-143/4, -1, 1, 2
Let 3*p**4 - 3357*p**3 - 20223*p**2 - 30375*p = 0. Calculate p.
-3, 0, 1125
Find j such that j**3/2 + 4305*j**2/2 + 4639707*j/2 + 13880403/2 = 0.
-2151, -3
Solve -z**3/2 - 26*z**2 + 1979*z/2 + 2079 = 0 for z.
-77, -2, 27
Determine q so that 5*q**5 + 5250*q**4 + 1372855*q**3 - 2772010*q**2 - 1372860*q + 2766760 = 0.
-526, -1, 1, 2
Suppose -2*v**4/15 - 146*v**3/3 - 23236*v**2/15 - 48664*v/3 - 259504/5 = 0. Calculate v.
-331, -14, -6
Factor 2*r**2 + 4736*r + 42462.
2*(r + 9)*(r + 2359)
Let -3*g**3 - 11430*g**2 + 45756*g - 45768 = 0. Calculate g.
-3814, 2
Find p such that -p**4 - 22864*p**3 - 130690623*p**2 + 22864*p + 130690624 = 0.
-11432, -1, 1
Determine w, given that -9*w**2 - 492189*w/2 + 41016 = 0.
-27344, 1/6
Let 2*q**4/5 - 2622*q**3/5 - 6*q**2/5 + 1574*q - 5244/5 = 0. Calculate q.
-2, 1, 1311
Factor 2*i**2/11 - 51730*i/11 + 155172/11.
2*(i - 25862)*(i - 3)/11
Factor -3*w**3 - 390*w**2 - 3675*w - 9000.
-3*(w + 5)**2*(w + 120)
What is o in -2*o**3/7 + 796*o**2/7 + 18238*o/7 + 14520 = 0?
-11, 420
Factor -18*x**3 - 22776*x**2 + 15190*x - 2532.
-2*(x + 1266)*(3*x - 1)**2
Factor -p**4 - 9*p**3 + 36*p**2 - 4*p - 48.
-(p - 2)**2*(p + 1)*(p + 12)
Factor 3*n**4 + 561*n**3 + 26928*n**2 + 54096*n - 1015680.
3*(n - 5)*(n + 8)*(n + 92)**2
Find u such that 3*u**5/4 - 2187*u**4/2 + 1589943*u**3/4 + 798255*u**2 + 399675*u = 0.
-1, 0, 730
Determine m, given that m**2 - 17404*m + 121779 = 0.
7, 17397
Determine x so that 2*x**2/7 + 112116*x/7 + 1571249682/7 = 0.
-28029
Let -11552*m**2/9 - 8816*m/3 - 1682 = 0. What is m?
-87/76
Determine a so that -2*a**2 - 17438*a - 156780 = 0.
-8710, -9
Solve 4*q**4 - 220*q**3 - 536*q**2 + 4656*q - 5472 = 0 for q.
-6, 2, 57
Solve d**4/5 + 66*d**3/5 - 183*d**2 + 1628*d/5 - 156 = 0 for d.
-78, 1, 10
Factor w**3/2 - 127*w**2/2 - 1209*w - 2160.
(w - 144)*(w + 2)*(w + 15)/2
Solve 2*i**2/3 + 1904320*i/3 + 453304332800/3 = 0 for i.
-476080
Factor 2*g**2 - 2508*g + 7506.
2*(g - 1251)*(g - 3)
Suppose -i**4 - 18108*i**3 - 109605990*i**2 - 223601444092*i - 11120983747809 = 0. What is i?
-6019, -51
Factor -x**3/4 - 85*x**2/4 - 1847*x/4 - 1763/4.
-(x + 1)*(x + 41)*(x + 43)/4
Find d such that -5*d**3 - 263110*d**2 - 526205*d - 263100 = 0.
-52620, -1
Factor -819*s**3 - 19662*s**2 - 144*s.
-3*s*(s + 24)*(273*s + 2)
Factor 2*m**3/19 - 3258*m**2/19 - 6522*m/19 - 3262/19.
2*(m - 1631)*(m + 1)**2/19
Solve 4*m**3 - 87136*m**2 + 174256*m = 0.
0, 2, 21782
Factor -2*m**3 - 386*m**2 + 392*m + 776.
-2*(m - 2)*(m + 1)*(m + 194)
Suppose -7*w**4/3 - 13786*w**3 + 112301*w**2/3 - 15764*w - 23644/3 = 0. What is w?
-5911, -2/7, 1, 2
Factor -39*q**2/4 - 665*q/2 - 34.
-(q + 34)*(39*q + 4)/4
Let 4*d**5 - 8100*d**4 - 56835*d**3 - 123910*d**2 - 85335*d - 18288 = 0. Calculate d.
-3, -1/2, 2032
Factor -2*d**4 - 44*d**3 + 150*d**2 - 8*d - 200.
-2*(d - 2)**2*(d + 1)*(d + 25)
Find c such that -c**3/6 + 4087*c**2/2 - 73535*c/6 + 20425/2 = 0.
1, 5, 12255
What is g in -80*g**5/7 + 34*g**4 - 234*g**3/7 + 74*g**2/7 + 2*g/7 = 0?
-1/40, 0, 1
Factor 5*d**2 + 1475*d + 49920.
5*(d + 39)*(d 