, given that 2*v**5/3 - 1052*v**4/3 - 2110*v**3/3 - 352*v**2 = 0.
-1, 0, 528
Let 3*n**3 + 17811*n**2 + 88992*n + 71184 = 0. What is n?
-5932, -4, -1
Factor -m**3/2 + 52*m**2 - 744*m - 17280.
-(m - 80)*(m - 36)*(m + 12)/2
Factor 32*y**3/17 + 589890*y**2/17 + 2718535716*y/17 + 169906178/17.
2*(y + 9217)**2*(16*y + 1)/17
Factor 9*d**2 - 119059*d - 26458.
(d - 13229)*(9*d + 2)
Find k, given that 2*k**4/5 - 774*k**3/5 + 5312*k**2/5 + 3096*k/5 - 4256 = 0.
-2, 2, 7, 380
Solve -5*y**2 + 2136760*y - 2136755 = 0 for y.
1, 427351
Solve -2*i**2/11 + 4*i - 224/11 = 0 for i.
8, 14
Factor 2*w**4 + 26*w**3 + 60*w**2.
2*w**2*(w + 3)*(w + 10)
Factor 3*x**3 - 1347*x**2 + 92040*x + 14398800.
3*(x - 260)**2*(x + 71)
Solve 4*h**2 + 2137144*h + 285461529796 = 0 for h.
-267143
Factor 3*m**2/5 - 3156*m/5 - 6324/5.
3*(m - 1054)*(m + 2)/5
Factor 5*w**2 + 191420*w + 191415.
5*(w + 1)*(w + 38283)
Solve 3*f**3/5 - 2028*f**2/5 - 8151*f/5 - 1224 = 0.
-3, -1, 680
Determine t so that 3*t**3/2 + 276*t**2 - 8955*t/2 = 0.
-199, 0, 15
Let -4*q**2 - 3876*q + 7768 = 0. Calculate q.
-971, 2
Factor -g**2/3 + 14322*g + 85936/3.
-(g - 42968)*(g + 2)/3
What is w in -w**3/2 + 1299*w**2 + w/2 - 1299 = 0?
-1, 1, 2598
Let -3*k**2 - 78180*k - 1015833 = 0. What is k?
-26047, -13
What is y in -2*y**2/7 + 4882*y/7 + 11232 = 0?
-16, 2457
What is x in -5*x**4 - 1305*x**3 = 0?
-261, 0
Factor 20*y**3 - 21958*y**2 + 6003800*y + 12705000.
2*(y - 550)**2*(10*y + 21)
Factor 2*n**3 - 4026*n**2 + 8046*n - 4022.
2*(n - 2011)*(n - 1)**2
Suppose -5*b**3 + 16515*b**2 - 13595880*b - 68392900 = 0. Calculate b.
-5, 1654
Let -3*b**4 + 54*b**3 + 21*b**2 - 396*b + 324 = 0. Calculate b.
-3, 1, 2, 18
Let -u**5/4 + 137*u**4/4 - 1935*u**3/4 - 137*u**2/4 + 484*u = 0. What is u?
-1, 0, 1, 16, 121
Find h, given that -2*h**2/7 - 11472*h/7 + 34434/7 = 0.
-5739, 3
What is b in 2*b**4/3 - 4354*b**3/3 - 17530*b**2 + 118234*b/3 - 61292/3 = 0?
-14, 1, 2189
Factor -j**2/5 - 18*j/5 + 2128/5.
-(j - 38)*(j + 56)/5
Find k such that -k**4/8 - 1499*k**3/8 - 23757*k**2/8 - 43021*k/8 - 10381/4 = 0.
-1483, -14, -1
Factor 4*p**4 + 3924*p**3 + 940488*p**2 - 10753280*p + 17713152.
4*(p - 9)*(p - 2)*(p + 496)**2
Factor -5*m**3 - 13860*m**2 + 13865*m.
-5*m*(m - 1)*(m + 2773)
Factor 5*z**3 + 2535*z**2 - 83390*z.
5*z*(z - 31)*(z + 538)
Factor l**2/4 - 537*l/2 + 101745/4.
(l - 969)*(l - 105)/4
Solve 3*s**2/4 + 470841*s/4 - 470847/2 = 0.
-156949, 2
Factor -u**5/3 + 31*u**4/3 + 136*u**3/3 + 140*u**2/3.
-u**2*(u - 35)*(u + 2)**2/3
Factor h**4/4 - 407*h**3/4 - 2694*h**2 - 2592*h.
h*(h - 432)*(h + 1)*(h + 24)/4
Factor -2*x**3/5 - 4*x**2 - 66*x/5 - 72/5.
-2*(x + 3)**2*(x + 4)/5
Find x, given that 8822*x**4 + 17648*x**3 - 26458*x**2 - 12*x = 0.
-3, -2/4411, 0, 1
Determine x, given that -4*x**5 - 256*x**4 + 4928*x**3 - 16384*x**2 - 77824*x + 327680 = 0.
-80, -4, 4, 8
Factor 2*n**2 + 15442*n - 15444.
2*(n - 1)*(n + 7722)
Let -4*g**2/5 - 7632*g/5 + 7636/5 = 0. Calculate g.
-1909, 1
Suppose -51*y**4 + 5265*y**3 + 16152*y**2 + 10836*y = 0. What is y?
-2, -1, 0, 1806/17
What is c in 87*c**3/2 - 13119*c**2/2 + 5166*c + 1350 = 0?
-6/29, 1, 150
Determine i, given that i**2/3 - 224*i/3 + 221 = 0.
3, 221
Factor 2*s**3/19 + 21320*s**2/19 - 85304*s/19 + 85312/19.
2*(s - 2)**2*(s + 10664)/19
Factor o**5 - 106*o**4 + 2692*o**3 + 6696*o**2 - 23328*o.
o*(o - 54)**2*(o - 2)*(o + 4)
Factor x**2/5 - 3062*x/5 + 13376.
(x - 3040)*(x - 22)/5
Factor p**3/3 + 1769*p**2/6 + 2647*p/6 - 883/3.
(p + 2)*(p + 883)*(2*p - 1)/6
Let -6*i**3 + 921*i**2 + 15081*i + 14154 = 0. What is i?
-14, -1, 337/2
Find k, given that 2*k**4/9 + 130*k**3/9 - 8326*k**2/9 + 2642*k/3 + 1820 = 0.
-105, -1, 2, 39
Factor -n**3/7 + 209*n**2/7 - 10134*n/7 + 19440/7.
-(n - 135)*(n - 72)*(n - 2)/7
Factor k**5 + 669*k**4 + 2000*k**3 + 1332*k**2.
k**2*(k + 1)*(k + 2)*(k + 666)
Determine u, given that -u**2/4 + 2797*u = 0.
0, 11188
Factor -2*w**2/3 + 322*w/3 + 2148.
-2*(w - 179)*(w + 18)/3
Determine f, given that f**4/4 + 5945*f**3/4 + 41577*f**2/4 + 65323*f/4 + 14845/2 = 0.
-5938, -5, -1
Solve m**2/9 - 23990*m/9 + 143880025/9 = 0 for m.
11995
Suppose 3*x**3/5 - 26673*x**2/5 + 59140437*x/5 + 653776233/5 = 0. Calculate x.
-11, 4451
Let -4*p**2 - 616*p - 5760 = 0. What is p?
-144, -10
Suppose b**2/3 + 44*b/3 + 105 = 0. Calculate b.
-35, -9
Let -128*d**4/11 + 17162592*d**3/11 - 12871896*d**2/11 + 3217970*d/11 - 268164/11 = 0. Calculate d.
1/4, 134082
Solve -2*y**2 - 74*y + 3456 = 0.
-64, 27
Suppose -5*u**5 - 1105*u**4 - 15815*u**3 + 5070105*u**2 - 94469760*u - 329378940 = 0. Calculate u.
-142, -3, 33
Find g, given that -25*g**2 - 99280*g - 119100 = 0.
-3970, -6/5
Solve 10*i**5/3 + 394*i**4/3 + 1322*i**3 + 4214*i**2/3 - 5824*i/3 - 920 = 0.
-23, -15, -2, -2/5, 1
Let 2*v**2/11 + 256*v/11 - 3976/11 = 0. Calculate v.
-142, 14
Factor -5*r**3 - 124675*r**2 - 498640*r - 498620.
-5*(r + 2)**2*(r + 24931)
Find f, given that f**2/6 - 2935*f/6 + 1466 = 0.
3, 2932
Determine z so that z**5/4 - 119*z**4/4 - 639*z**3/2 - 405*z**2 + 2322*z = 0.
-6, 0, 2, 129
Factor 4*i**3/9 - 5540*i**2/9 - 11096*i/9.
4*i*(i - 1387)*(i + 2)/9
Factor -x**4 + 85*x**3 + 352*x**2 + 356*x.
-x*(x - 89)*(x + 2)**2
Suppose 111*m**2/4 - 18417*m/8 - 747/8 = 0. Calculate m.
-3/74, 83
Let -3*g**4/8 - 39*g**3/8 + 9*g**2/8 + 111*g/8 - 39/4 = 0. Calculate g.
-13, -2, 1
Let 2*g**5/3 - 54*g**4 - 2162*g**3/3 - 2178*g**2 + 720*g + 2232 = 0. Calculate g.
-6, -1, 1, 93
Factor b**2/5 + 82747*b - 413736/5.
(b - 1)*(b + 413736)/5
Suppose a**2 - 804*a + 803 = 0. Calculate a.
1, 803
Find g such that -5*g**5/4 - 465*g**4 - 29955*g**3/2 + 47735*g**2 - 194685*g/4 + 16380 = 0.
-336, -39, 1
Let 2*s**4/7 + 46*s**3/7 - 722*s**2/7 - 6766*s/7 + 7440/7 = 0. Calculate s.
-31, -8, 1, 15
Factor 2*y**2 + 538*y + 29100.
2*(y + 75)*(y + 194)
Factor 2*r**3/11 - 24792*r**2/11 - 2254*r.
2*r*(r - 12397)*(r + 1)/11
Factor -z**3 + 12*z**2 + 283*z + 1050.
-(z - 25)*(z + 6)*(z + 7)
Let -14*h**4/9 + 12494*h**3/9 - 930052*h**2/3 + 1175656*h/9 + 3978320/9 = 0. What is h?
-1, 10/7, 446
Solve 2*y**4/9 - 808*y**3/3 + 538*y**2 - 2420*y/9 = 0.
0, 1, 1210
Let 3*o**3 - 28607*o**2 + 68191936*o + 22733824 = 0. Calculate o.
-1/3, 4768
Let a**3/2 + 2493*a**2 + 6215049*a/2 = 0. What is a?
-2493, 0
Suppose 4*t**2 - 125924*t = 0. Calculate t.
0, 31481
Suppose 2*p**2/7 + 1236*p/7 - 11286/7 = 0. What is p?
-627, 9
Factor 5*a**2 + 486200*a + 11819522000.
5*(a + 48620)**2
What is t in 4*t**5/3 + 9844*t**4/9 - 36232*t**3/9 + 6592*t**2/3 = 0?
-824, 0, 2/3, 3
Find m, given that -4*m**5 - 72*m**4 + 368*m**3 + 288*m**2 - 1408*m = 0.
-22, -2, 0, 2, 4
Suppose -3*m**4/2 + 117*m**3/4 - 513*m**2/4 - 87*m + 72 = 0. What is m?
-1, 1/2, 8, 12
Let -3*k**3 + 108*k**2 + 63*k - 5880 = 0. What is k?
-7, 8, 35
Factor 5*a**3 + 360*a**2 + 1015*a - 1380.
5*(a - 1)*(a + 4)*(a + 69)
Factor u**2/4 + 117*u/4 - 119/2.
(u - 2)*(u + 119)/4
Factor 3*w**2/2 + 109215*w/4 + 27303/2.
3*(w + 18202)*(2*w + 1)/4
Factor -2*v**2/3 + 10240*v - 153550/3.
-2*(v - 15355)*(v - 5)/3
Solve 4*u**4 + 3680*u**3 - 37132*u**2 + 63208*u - 29760 = 0 for u.
-930, 1, 8
Suppose -55*p**5/9 + 2092*p**4/9 - 7*p**3/3 - 2092*p**2/9 + 76*p/9 = 0. Calculate p.
-1, 0, 2/55, 1, 38
Factor -g**4 - 1247*g**3 + 68900*g**2.
-g**2*(g - 53)*(g + 1300)
Let 3*h**4/7 - 12918*h**3 + 681585939*h**2/7 - 2724897132*h/7 = 0. What is h?
0, 4, 15069
Determine l so that 2*l**3/13 - 34472*l**2/13 - 482902*l/13 - 1690500/13 = 0.
-7, 17250
Find w such that -w**4 - 50*w**3 + 687*w**2 + 5364*w + 8640 = 0.
-60, -3, 16
Suppose -y**2/6 - 127*y - 119561/6 = 0. What is y?
-541, -221
Find v, given that -2*v**5 + 92*v**4 - 1602*v**3 + 13120*v**2 - 49792*v + 67584 = 0.
3, 8, 11, 16
Determine j, given that 3*j**4 - 555*j**3 - 47613*j**2 - 994449*j - 4376394 = 0.
-31, -6, 253
Factor -u**2/8 - 101057*u/4.
-u*(u + 202114)/8
Factor 11*q**3 + 207*q**2 - 458*q.
q*(q - 2)*(11*q + 229)
Determine f so that 2*f**2/7 + 8226*f/7 + 24660/7 = 0.
-4110, -3
Factor -5*k**3 - 2340*k**2 + 14220*k.
-5*k*(k - 6)*(k + 474)
Determine y so that -5*y**5 + 115*y**4 - 420*y**3 - 700*y**2 + 2720*y + 2880 = 0.
-2, -1, 4, 18
What is l in -4*l**5 + 622864*l**4 - 32329548288*l**3 + 559322736753600*l**2 + 1118774796683328*l = 0?
-2, 0, 51906
Factor -3*i**3 + 840*i**2 + 10404*i + 31536.
-3*(i - 292)*(i + 6)**2
Let -2*a**4/5 + 288*a**3/5 - 2184*a*