**2 + 27936*g + 22400 = 0 for g.
-4, -2, 350
Find n, given that -12*n**5 - 632*n**4 - 10768*n**3 - 54024*n**2 + 88540*n - 23104 = 0.
-19, -16, 1/3, 1
Suppose g**2 + 1364*g + 465124 = 0. Calculate g.
-682
Let j**2/4 + 109*j/2 + 5157/4 = 0. What is j?
-191, -27
Factor f**3 + 60882*f**2 + 926593596*f - 1853430728.
(f - 2)*(f + 30442)**2
Let 3*q**4 + 792*q**3 + 7617*q**2 - 792*q - 7620 = 0. Calculate q.
-254, -10, -1, 1
Factor 3*v**2 - 3054*v - 78225.
3*(v - 1043)*(v + 25)
Determine b, given that -b**3/5 + 77*b**2/5 + 1568*b/5 + 564 = 0.
-15, -2, 94
Determine m, given that 2*m**2/5 + 154*m + 25752/5 = 0.
-348, -37
Factor 3*w**3 + 7623*w**2 - 22926*w - 76320.
3*(w - 5)*(w + 2)*(w + 2544)
Find q, given that -6*q**5/7 - 74*q**4 - 96*q**3 + 680*q**2/7 = 0.
-85, -2, 0, 2/3
Let -4*b**2 - 17276*b - 34536 = 0. What is b?
-4317, -2
Factor -3*m**3 - 67077*m**2 - 67074*m.
-3*m*(m + 1)*(m + 22358)
Find w, given that 2*w**2/9 - 2218672*w/9 + 615313180448/9 = 0.
554668
Factor -4*h**4 + 584*h**3 + 4316*h**2 - 4896*h.
-4*h*(h - 153)*(h - 1)*(h + 8)
Factor 5*y**4 - 60*y**3 - 305*y**2 + 3960*y.
5*y*(y - 11)*(y - 9)*(y + 8)
What is x in x**2 + 539*x + 17640 = 0?
-504, -35
Factor 4*q**2 - 226828*q + 226824.
4*(q - 56706)*(q - 1)
Factor -2*g**4/19 + 9448*g**3/19 - 11167532*g**2/19 + 22306728*g/19 - 11148642/19.
-2*(g - 2361)**2*(g - 1)**2/19
What is j in 2*j**3/13 + 6914*j**2/13 - 55408*j/13 + 110880/13 = 0?
-3465, 4
Factor -2*m**3/7 + 11856*m**2/7 - 17582442*m/7 + 35117476/7.
-2*(m - 2963)**2*(m - 2)/7
Factor -11*g**2/2 + 10264*g - 1866.
-(g - 1866)*(11*g - 2)/2
Find h such that h**4/6 - 62*h**3/3 + 1535*h**2/2 - 30125*h/3 + 87500/3 = 0.
4, 25, 70
Factor h**2 - 468*h - 33453.
(h - 531)*(h + 63)
Suppose -12*s**4 - 2384*s**3 + 828*s**2 + 6384*s + 3184 = 0. What is s?
-199, -1, -2/3, 2
Factor -2*q**5/7 + 1006*q**4/7 - 3006*q**3/7 + 3002*q**2/7 - 1000*q/7.
-2*q*(q - 500)*(q - 1)**3/7
Determine o so that 2*o**3/9 - 25822*o**2/9 + 9242096*o + 120632616 = 0.
-13, 6462
Determine s so that 3*s**2/4 - 2139*s/2 + 84546 = 0.
84, 1342
Factor 2*d**3/11 + 194*d**2/11 + 2062*d/11 + 170.
2*(d + 1)*(d + 11)*(d + 85)/11
Find l such that 3*l**4 + 2427*l**3 - 9744*l**2 + 9756*l = 0.
-813, 0, 2
Determine d, given that 2*d**5 - 9824*d**4/9 + 2530*d**3/3 + 7264*d**2/3 + 4360*d/9 = 0.
-1, -2/9, 0, 2, 545
Factor -s**4 - 1321*s**3 + 19992*s**2 - 64192*s - 85504.
-(s - 8)**2*(s + 1)*(s + 1336)
Find c such that -4*c**3 + 5568*c**2 + 56236*c - 218712 = 0.
-13, 3, 1402
Factor -2*n**3/9 - 424*n**2/9 + 23986*n/3 + 1705820.
-2*(n - 190)*(n + 201)**2/9
Find n, given that -315*n**4 - 10145*n**3 - 20950*n**2 - 2940*n + 1800 = 0.
-30, -2, -3/7, 2/9
Factor -3*s**2 - 3960564*s - 1307172266508.
-3*(s + 660094)**2
Suppose 9*m**3 - 1212*m**2 - 5421*m = 0. What is m?
-13/3, 0, 139
Let 4*a**5 + 412*a**4 + 15288*a**3 + 237832*a**2 + 1295428*a + 1072476 = 0. Calculate a.
-31, -9, -1
Factor -r**2/8 + 2201*r/4 - 1100.
-(r - 4400)*(r - 2)/8
Suppose -4*g**4/7 - 1160*g**3/7 - 5252*g**2/7 + 130496*g/7 + 802560/7 = 0. What is g?
-285, -8, 11
Let 20*g**4 + 4588*g**3 + 99732*g**2 - 63340*g - 41000 = 0. What is g?
-205, -25, -2/5, 1
Factor 4*i**3 - 16608*i**2 - 49900*i + 166200.
4*(i - 4155)*(i - 2)*(i + 5)
Determine u so that 142*u**4 - 281*u**3 - 574*u**2 + 1124*u + 24 = 0.
-2, -3/142, 2
Factor 2*n**3 + 238*n**2 - 10100*n - 10336.
2*(n - 34)*(n + 1)*(n + 152)
Factor 3*c**4 - 210090*c**3 + 3678360756*c**2 - 7355881176*c.
3*c*(c - 35014)**2*(c - 2)
Let 5*q**4 + 734*q**3 - 8251*q**2/5 - 8356*q/5 - 1788/5 = 0. What is q?
-149, -2/5, 3
Factor -17405*a**3 - 505335*a**2 - 17115*a - 145.
-5*(a + 29)*(59*a + 1)**2
Determine d, given that -15*d**2/4 + 545*d/4 + 2925/2 = 0.
-26/3, 45
Factor -j**2/3 - 82*j + 4192/3.
-(j - 16)*(j + 262)/3
Find n such that -27*n**5 + 4758*n**4 - 5727*n**3 - 8412*n**2 + 2100*n = 0.
-1, 0, 2/9, 2, 175
Suppose -i**5/3 - 868*i**4 + 52366*i**3/3 - 99676*i**2 + 94545*i + 212544 = 0. What is i?
-2624, -1, 3, 9
Solve -t**4/6 + 10*t**3 + 163*t**2/3 - 10*t - 325/6 = 0.
-5, -1, 1, 65
Let 1369*k**3/2 - 83731*k**2/2 + 13551*k/2 - 549/2 = 0. What is k?
3/37, 61
What is f in 2226050*f**2 - 1071880*f + 129032 = 0?
254/1055
Find k, given that -2*k**5/13 - 476*k**4/13 + 9216*k**3/13 = 0.
-256, 0, 18
Factor -c**2/2 + 3755*c/2 + 9400.
-(c - 3760)*(c + 5)/2
Determine y so that 5*y**3 - 560*y**2 + 1635*y = 0.
0, 3, 109
Factor -u**3 - 141*u**2 + 286*u.
-u*(u - 2)*(u + 143)
Find t such that 12*t**4 - 24411*t**3 + 30498*t**2 - 6099*t = 0.
0, 1/4, 1, 2033
What is u in -2*u**2 + 692*u + 16974 = 0?
-23, 369
Solve -2*x**2 - 3756*x = 0.
-1878, 0
Let -v**2/3 + 266858*v/3 - 17803298041/3 = 0. Calculate v.
133429
Determine k, given that 2*k**5/21 + 52*k**4/7 + 1864*k**3/21 + 668*k**2/3 + 1458*k/7 + 1408/21 = 0.
-64, -11, -1
Find t, given that -2*t**5 + 10*t**4 + 140*t**3 - 40*t**2 - 528*t = 0.
-6, -2, 0, 2, 11
Solve 2*l**3/7 - 872*l**2/7 + 8472*l/7 + 20448/7 = 0.
-2, 12, 426
Suppose 2*v**3/3 + 70*v**2/3 + 532*v/3 - 1360/3 = 0. Calculate v.
-20, -17, 2
Factor -5*l**2 + 1200*l - 28755.
-5*(l - 213)*(l - 27)
Let u**4 - 8213*u**3 - 16429*u**2 - 8215*u = 0. What is u?
-1, 0, 8215
Determine f so that -f**2/4 - 643*f - 413449 = 0.
-1286
Factor -2*c**2/11 - 1048956*c/11 - 137538586242/11.
-2*(c + 262239)**2/11
Determine v so that -3*v**4/7 + 109815*v**3/7 + 3*v**2/7 - 109815*v/7 = 0.
-1, 0, 1, 36605
Factor 2*o**5/7 + 528*o**4/7 - 2136*o**3/7 + 2144*o**2/7.
2*o**2*(o - 2)**2*(o + 268)/7
Determine c so that -c**3/3 - 430*c**2/3 + 108224*c/3 = 0.
-608, 0, 178
Factor -h**3 - 1410*h**2 + 757332*h - 87729304.
-(h - 218)**2*(h + 1846)
Find y, given that -2*y**4 - 84*y**3 + 90*y**2 + 172*y = 0.
-43, -1, 0, 2
Factor 5*i**3 - 45*i**2 - 1620*i + 14580.
5*(i - 18)*(i - 9)*(i + 18)
Determine b, given that -3*b**2/4 + 1485*b/4 - 741/2 = 0.
1, 494
Determine j so that -183*j**3/7 + 9537*j**2/7 + 8607*j/7 - 159 = 0.
-1, 7/61, 53
Find k such that -10*k**3/7 + 25022*k**2/7 + 20026*k/7 - 5006/7 = 0.
-1, 1/5, 2503
What is h in 3993*h**5 + 3339963*h**4 + 4845720*h**3 - 3305832*h**2 + 641232*h - 40080 = 0?
-835, -2, 2/11
Solve 4*k**5/5 + 788*k**4/5 + 52496*k**3/5 + 246464*k**2 + 3341184*k/5 + 2160576/5 = 0 for k.
-66, -62, -2, -1
Factor d**2/3 + 40*d/3 + 175/3.
(d + 5)*(d + 35)/3
Determine u so that 5*u**2/2 - 24390*u + 48775/2 = 0.
1, 9755
Suppose -2*i**5 + 1052*i**4 + 15184*i**3 - 34560*i**2 = 0. Calculate i.
-16, 0, 2, 540
Factor -3*g**2/4 + 2803107*g/4 - 700776.
-3*(g - 934368)*(g - 1)/4
Factor -10*j**3 + 255*j**2 + 3205*j + 4200.
-5*(j - 35)*(j + 8)*(2*j + 3)
Suppose 32*n**5/5 - 2032*n**4/5 - 237214*n**3/5 - 352336*n**2/5 - 131818*n/5 - 14632/5 = 0. What is n?
-59, -1, -1/4, 124
Solve -q**3/2 - 1123*q**2/2 - 15539*q/2 - 14417/2 = 0.
-1109, -13, -1
Find r such that -4*r**5 - 896*r**4 - 5152*r**3 + 17536*r**2 + 20672*r - 55808 = 0.
-218, -8, -2, 2
Factor -2*g**3 + 850*g**2 - 91374*g + 266526.
-2*(g - 221)*(g - 201)*(g - 3)
Factor -2*d**4 - 2234*d**3 - 849576*d**2 - 116331488*d - 2411427200.
-2*(d + 25)*(d + 364)**3
Solve 2*y**5/11 + 190*y**4/11 - 5124*y**3/11 - 29440*y**2/11 - 24128*y/11 = 0 for y.
-116, -4, -1, 0, 26
Let 2*l**2 - 72344*l + 72342 = 0. What is l?
1, 36171
Solve -2*d**4/9 - 992*d**3/9 + 14*d**2/9 + 6956*d/9 + 1984/3 = 0.
-496, -2, -1, 3
Solve -5*x**2 - 15765*x - 47250 = 0 for x.
-3150, -3
Suppose 5*g**2/6 - 503*g/3 = 0. Calculate g.
0, 1006/5
Let 6*g**3/7 + 576*g**2/7 + 1902*g + 12744/7 = 0. What is g?
-59, -36, -1
Factor 6*w**3/5 - 594168*w**2/5 - 1188354*w/5 - 118836.
6*(w - 99030)*(w + 1)**2/5
Solve -a**4/3 + 24413*a**3/3 + 390835*a**2/3 + 708427*a/3 + 114002 = 0 for a.
-14, -1, 24429
Factor -3*y**4 - 5*y**3 + 13*y**2 + 29*y + 14.
-(y + 1)**2*(y + 2)*(3*y - 7)
Factor -4*p**3 - 31980*p**2 - 63904032*p + 63936016.
-4*(p - 1)*(p + 3998)**2
Find a such that 3*a**2 - 12303*a + 12300 = 0.
1, 4100
Factor 2*r**2/7 + 2894*r - 40524/7.
2*(r - 2)*(r + 10131)/7
Suppose 3*u**2/5 + 17244*u/5 - 41472 = 0. Calculate u.
-5760, 12
Factor -2*k**2/5 + 1964*k - 283098/5.
-2*(k - 4881)*(k - 29)/5
Let 2*g**5 + 2423*g**4/2 + 3619*g**3/4 - 3329*g**2/2 - 1815*g/4 = 0. Calculate g.
-605, -3/2, -1/4, 0, 1
Factor -13*i**2/10 + 12091*i/10 - 93.
-(i - 930)*(13*i - 1)/10
Factor -3*j**3 + 249*j**2 - 1401*j + 1155.
-3*(j - 77)*(j - 5)*(j - 1)
Let -231*z**3/5 + 289*z**2/5 