5
Determine g so that -14*g**2/15 + 19858*g/15 - 2836/5 = 0.
3/7, 1418
Suppose 3*g**5 - 354*g**4 + 5880*g**3 + 265200*g**2 + 1974000*g + 2940000 = 0. Calculate g.
-10, -2, 70
Solve 15*g**5 + 235*g**4 + 235*g**3 - 1515*g**2 + 1310*g - 280 = 0.
-14, -4, 1/3, 1
Let -2*u**3/9 - 1110*u**2 + 2*u/9 + 1110 = 0. What is u?
-4995, -1, 1
Find k such that -9*k**2/5 - 14880*k - 49596/5 = 0.
-8266, -2/3
Factor -33*x**2 - 23238*x - 4224.
-3*(x + 704)*(11*x + 2)
Find f such that -9*f**4/2 - 33*f**3 + 47*f**2/2 - 4*f = 0.
-8, 0, 1/3
Factor y**2 + 18333*y + 73316.
(y + 4)*(y + 18329)
Solve 3*a**4/2 + 399*a**3/2 + 7440*a**2 + 51894*a = 0 for a.
-62, -9, 0
Let -6*p**3/13 - 7742*p**2/13 - 2572*p/13 + 10320/13 = 0. What is p?
-1290, -4/3, 1
Suppose -3*i**4/5 + 444*i**3 + 33786*i**2/5 + 142548*i/5 + 22197 = 0. What is i?
-7, -1, 755
Find x, given that -x**3/5 + 26*x**2 + 3117*x/5 + 8154/5 = 0.
-18, -3, 151
Find x, given that -65*x**3/2 - 945*x**2 - 7700*x - 17760 = 0.
-222/13, -8, -4
Let -2*g**3/13 + 56*g**2 - 15890*g/13 + 69564/13 = 0. Calculate g.
6, 17, 341
Factor -36*f**2 + 23088*f - 3701776.
-4*(3*f - 962)**2
Solve 3*v**3/2 - 1551*v**2/2 - 43368*v - 576966 = 0.
-26, 569
Suppose 4*p**5 - 312*p**4 - 58408*p**3 - 173312*p**2 - 172668*p - 57448 = 0. Calculate p.
-86, -1, 167
Factor g**3 + 2165*g**2 + 2164*g.
g*(g + 1)*(g + 2164)
Find t, given that 27*t**3 + 127662*t**2 - 738540*t - 170424 = 0.
-4734, -2/9, 6
Solve 4*r**3/11 + 13670*r**2/11 + 20492*r/11 - 13664/11 = 0.
-3416, -2, 1/2
Determine w so that -4*w**2 - 3972*w - 70200 = 0.
-975, -18
Factor 111*k**3/2 + 159501*k**2/2 - 4311*k.
3*k*(k + 1437)*(37*k - 2)/2
What is a in a**3 + 232*a**2 + 12480*a - 115200 = 0?
-120, 8
Solve -2*w**5/9 - 622*w**4/9 - 22100*w**3/3 - 308932*w**2 - 4310514*w + 4626882 = 0.
-117, -39, 1
Find i such that 3*i**4/8 + 19605*i**3/8 - 39219*i**2/8 + 19611*i/8 = 0.
-6537, 0, 1
Suppose 5*y**5/4 - 1165*y**4/4 + 3825*y**3 + 1797625*y**2 - 5415320*y + 3614160 = 0. What is y?
-66, 1, 2, 148
Let -4*k**4 + 19592*k**3 + 749980*k**2 + 1441168*k + 710784 = 0. What is k?
-36, -1, 4936
Factor l**3/2 - 45*l**2 + 868*l + 1920.
(l - 60)*(l - 32)*(l + 2)/2
Factor -27*o**4 + 77121*o**3 + 360339*o**2 + 420567*o.
-3*o*(o - 2861)*(3*o + 7)**2
Factor 3*f**3 - 417*f**2 + 6312*f - 10980.
3*(f - 122)*(f - 15)*(f - 2)
Determine d, given that -2*d**3 + 38*d**2 + 344*d + 520 = 0.
-5, -2, 26
Factor -d**2 + 460322*d - 52974085921.
-(d - 230161)**2
Solve 5*i**2 + 24475*i = 0.
-4895, 0
Suppose 5*g**2 - 901910*g + 901905 = 0. What is g?
1, 180381
Solve c**3/4 + 617*c**2/4 - 2181*c/2 + 936 = 0 for c.
-624, 1, 6
Factor 5*x**2 - 16975*x - 50970.
5*(x - 3398)*(x + 3)
Solve 2*m**3/5 - 276*m**2 - 31086*m/5 - 172304/5 = 0 for m.
-11, 712
Let -3*l**3/5 - 4551*l**2 = 0. Calculate l.
-7585, 0
Solve i**2/2 + 307*i/2 + 1485 = 0.
-297, -10
Factor -3*g**3 + 1662*g**2 - 302820*g + 18077736.
-3*(g - 206)**2*(g - 142)
Solve a**2/6 + 4093*a/2 + 49084/3 = 0.
-12271, -8
Let 5*h**4/2 + 6750*h**3 - 40535*h**2/2 + 13515*h = 0. What is h?
-2703, 0, 1, 2
Factor -3*c**3 + 125601*c**2 - 1314320208*c - 6574741440.
-3*(c - 20936)**2*(c + 5)
Factor j**4/2 - 337*j**3/2 + 1667*j**2/2 - 2327*j/2 + 498.
(j - 332)*(j - 3)*(j - 1)**2/2
Determine k, given that -3*k**2/5 + 27294*k - 310401015 = 0.
22745
Solve -2*a**4/3 - 246*a**3 - 69860*a**2/3 - 107016*a + 927472/3 = 0.
-182, -7, 2
Solve 4*c**5 - 816*c**4 + 10784*c**3 - 27496*c**2 + 25884*c - 8360 = 0 for c.
1, 11, 190
Suppose 3*s**2/4 + 2493*s - 9975/4 = 0. What is s?
-3325, 1
What is j in -4*j**5 - 644*j**4 - 21712*j**3 + 129264*j**2 + 150336*j = 0?
-108, -58, -1, 0, 6
Let 2*w**5/11 - 392*w**4/11 + 6610*w**3/11 - 36412*w**2/11 + 81528*w/11 - 64080/11 = 0. What is w?
2, 3, 10, 178
Find x, given that -2*x**3/9 + 118*x**2/9 - 548*x/9 + 48 = 0.
1, 4, 54
Suppose -5*j**3 - 11815*j**2 - 70710*j = 0. What is j?
-2357, -6, 0
Determine x, given that 5*x**3 - 870*x**2 + 6720*x - 13280 = 0.
4, 166
Find a such that 5*a**4 + 330*a**3 + 4225*a**2 - 36360*a - 623700 = 0.
-45, -18, -14, 11
Factor -p**3/5 + 413*p**2/5 + 4654*p/5 + 848.
-(p - 424)*(p + 1)*(p + 10)/5
Solve -2*n**5/5 + 28*n**4/5 - 44*n**3/5 - 248*n**2/5 + 46*n/5 + 44 = 0.
-2, -1, 1, 5, 11
Determine y, given that 10782*y**2 - 32354*y/3 + 8/3 = 0.
4/16173, 1
Find l, given that 36*l**4 + 1376*l**3 - 2540*l**2 + 808*l + 320 = 0.
-40, -2/9, 1
Find l, given that -2*l**5 - 700*l**4 - 9346*l**3 + 20800*l**2 - 10752*l = 0.
-336, -16, 0, 1
Find j, given that j**3/2 - 569*j**2/2 - 11193*j - 10908 = 0.
-36, -1, 606
Factor -2*u**2 + 3740*u - 1748450.
-2*(u - 935)**2
Suppose 5*y**3 - 1815*y**2 + 177480*y - 5248240 = 0. Calculate y.
68, 227
Factor 3*z**2 + 189*z - 2700.
3*(z - 12)*(z + 75)
Determine r, given that 15*r**3 - 310833*r**2 + 62166*r = 0.
0, 1/5, 20722
Factor 4*z**2 + 81624*z + 326432.
4*(z + 4)*(z + 20402)
Find z such that 5*z**3 - 2795*z**2 - 113625*z + 116415 = 0.
-39, 1, 597
Factor -3*f**3/4 + 35952*f**2.
-3*f**2*(f - 47936)/4
Find v, given that -5*v**5 - 1630*v**4 - 171880*v**3 - 5903030*v**2 - 15556755*v + 21633300 = 0.
-129, -65, -4, 1
Suppose -6*p**2/5 + 588*p/5 + 17568/5 = 0. Calculate p.
-24, 122
Factor -2*g**3/11 - 346*g**2/11 + 6714*g/11 - 30942/11.
-2*(g - 9)**2*(g + 191)/11
Solve -5*l**2 + 84310*l - 355408805 = 0 for l.
8431
Let -y**4 - 446*y**3 + 7808*y**2 - 29250*y - 37503 = 0. Calculate y.
-463, -1, 9
Factor 2*f**2/5 - 8892*f/5 + 168226/5.
2*(f - 4427)*(f - 19)/5
Let -2*w**2/9 - 1356160*w/9 - 229896243200/9 = 0. What is w?
-339040
Factor 10*i**3 + 33734*i**2 + 28439446*i - 17075814.
2*(i + 1687)**2*(5*i - 3)
What is y in 2*y**2 - 18390*y - 55188 = 0?
-3, 9198
Let j**5/3 - 2114*j**4/3 + 1196846*j**3/3 - 82411660*j**2/3 - 56140773*j - 28270566 = 0. Calculate j.
-1, 82, 1017
Factor -4*f**2 + 2428*f - 2424.
-4*(f - 606)*(f - 1)
Determine g, given that 6*g**5 + 1209*g**4 + 60945*g**3 + 28965*g**2 - 60951*g - 30174 = 0.
-107, -94, -1, -1/2, 1
Find l such that 15*l**4 - 590*l**3 + 5640*l**2 - 6690*l + 1625 = 0.
1/3, 1, 13, 25
Factor -2*o**3/7 + 1100*o**2/7 - 5458*o/7 + 4360/7.
-2*(o - 545)*(o - 4)*(o - 1)/7
Factor -3*z**5/2 - 14371*z**4/2 - 22944099*z**3/2 - 12203707065*z**2/2 + 4073003173*z.
-z*(z + 1597)**3*(3*z - 2)/2
What is k in -4*k**5 + 911*k**4 + 3000*k**3 + 693*k**2 = 0?
-3, -1/4, 0, 231
Let 3*p**2/5 + 417*p/5 - 12366 = 0. What is p?
-229, 90
Factor -3*p**2/2 - 47841*p/2 + 191460.
-3*(p - 8)*(p + 15955)/2
Factor -2*s**2/9 - 837400*s/3 - 87654845000.
-2*(s + 628050)**2/9
Factor 4*p**2/9 - 195040*p/3 + 2377537600.
4*(p - 73140)**2/9
Factor 2*h**4/11 - 3976*h**3/11 - 7958*h**2/11 - 3980*h/11.
2*h*(h - 1990)*(h + 1)**2/11
Factor -4*v**3/3 - 1168*v**2/3 - 92852*v/3 - 1081976/3.
-4*(v + 14)*(v + 139)**2/3
Factor -m**4/2 + 25*m**3/2 + 113*m**2/2 + 87*m/2.
-m*(m - 29)*(m + 1)*(m + 3)/2
Suppose 3*x**4 + 114*x**3 + 1368*x**2 + 4590*x - 6075 = 0. Calculate x.
-15, -9, 1
Factor 4*y**3 - 112*y**2 - 8876*y + 27528.
4*(y - 62)*(y - 3)*(y + 37)
Factor -2*d**3 + 1342*d**2 + 40544*d + 39200.
-2*(d - 700)*(d + 1)*(d + 28)
Factor -3*c**3 + 1431600*c**2 - 170789880000*c.
-3*c*(c - 238600)**2
Factor 3605*v**2 + 7200*v - 20.
5*(v + 2)*(721*v - 2)
Factor -140*z**2 - 58084*z + 6640.
-4*(z + 415)*(35*z - 4)
Factor -5*c**3 - 90685*c**2 + 181385*c - 90695.
-5*(c - 1)**2*(c + 18139)
Factor -4*j**3 - 1056*j**2.
-4*j**2*(j + 264)
Factor -2*b**2/7 - 26354*b/7 + 131820/7.
-2*(b - 5)*(b + 13182)/7
Find g, given that 2*g**5 - 230*g**4 - 1212*g**3 + 1440*g**2 = 0.
-6, 0, 1, 120
Suppose -3*k**2/2 + 1026*k - 21846 = 0. Calculate k.
22, 662
Factor -2*j**4 - 192*j**3 - 4608*j**2.
-2*j**2*(j + 48)**2
Let m**4/3 - 1118*m**3/3 + 1115*m**2 + 4*m/3 - 4460/3 = 0. What is m?
-1, 2, 1115
Determine j, given that 3*j**3/8 + 2427*j**2/8 + 13698*j = 0.
-761, -48, 0
Find i, given that -5*i**2 - 19800*i = 0.
-3960, 0
Factor -k**3 - 21*k**2 + 765*k + 2457.
-(k - 21)*(k + 3)*(k + 39)
Suppose -4*n**4 + 540*n**3 + 846008*n**2 - 195672240*n + 194825696 = 0. Calculate n.
-494, 1, 314
Factor 5*b**5 + 540*b**4 - 30*b**3 - 3280*b**2 - 4335*b - 1620.
5*(b - 3)*(b + 1)**3*(b + 108)
Determine a so that -134*a**5/11 - 2274*a**4/11 + 2748*a**3/11 + 4744*a**2/11 - 144*a/11 = 0.
-18, -1, 0, 2/67, 2
What is x in -x**3/6 + 1490*x**2/3 + 44911*x/6 + 20965/3 = 0?
-14, -1, 2995
Suppose -2*v**3/5 - 168*v**2/5 + 190