**3 - 461*n**2 + 235*n + 2850 = 0 for n.
-2, 5, 57
Solve 3*d**3 - 39783*d**2 - 2555328*d - 40934400 = 0.
-32, 13325
Let k**4 - 2735*k**3/3 - 116933*k**2/3 - 393883*k + 280182 = 0. Calculate k.
-21, 2/3, 953
Find q such that 225*q**2/2 - 2589*q/2 - 4896 = 0.
-3, 1088/75
Determine d, given that -5*d**5 + 60*d**4 + 15*d**3 - 190*d**2 + 120*d = 0.
-2, 0, 1, 12
Factor 6*b**2/5 - 135996*b/5 + 770621334/5.
6*(b - 11333)**2/5
Suppose -4*c**2 - 4832*c - 634800 = 0. Calculate c.
-1058, -150
Suppose 4*f**3 + 824*f**2 + 3232*f = 0. What is f?
-202, -4, 0
Let -t**2/4 - 59547*t/4 + 208439/2 = 0. What is t?
-59554, 7
Find a, given that -4*a**4/5 + 22024*a**3/5 - 44036*a**2/5 + 22016*a/5 = 0.
0, 1, 5504
Factor 4*x**2/3 + 1136*x/3 - 7248.
4*(x - 18)*(x + 302)/3
Solve q**3/4 + 8404*q**2 + 70610405*q - 282576100 = 0.
-16810, 4
Let -2*d**4 - 25242*d**3 - 79606948*d**2 + 238997568*d - 159365376 = 0. Calculate d.
-6312, 1, 2
Let -3*r**4 + 10467*r**3 - 62718*r**2 + 83592*r = 0. What is r?
0, 2, 4, 3483
Factor 3*m**2/5 + 26829*m/5 - 10734.
3*(m - 2)*(m + 8945)/5
Find l such that 25*l**5 + 375930*l**4 - 676731*l**3 + 360932*l**2 - 60156*l = 0.
-15039, 0, 2/5, 1
Determine w, given that -5*w**4/2 + 55*w**3 - 755*w**2/2 + 825*w = 0.
0, 5, 6, 11
What is m in -4*m**4 - 36*m**3 + 668*m**2 - 1692*m + 1064 = 0?
-19, 1, 2, 7
Suppose 3*t**3/2 + 477*t**2/2 + 1797*t/2 - 9765/2 = 0. What is t?
-155, -7, 3
Factor 2*m**3/7 - 34564*m**2 - 483902*m/7 - 241952/7.
2*(m - 120976)*(m + 1)**2/7
Factor r**2 - 711*r - 1426.
(r - 713)*(r + 2)
Determine j so that -j**2 + 304*j + 127440 = 0.
-236, 540
Suppose 28*p**4 - 372*p**3 + 1280*p**2 - 336*p = 0. What is p?
0, 2/7, 6, 7
Factor t**3/4 - 287*t**2/4 + 1523*t/2 - 690.
(t - 276)*(t - 10)*(t - 1)/4
Factor 2*h**2/7 + 61924*h/7 + 123840/7.
2*(h + 2)*(h + 30960)/7
Solve -2*m**3/9 - 23116*m**2/9 - 22249142*m/3 + 29706632 = 0 for m.
-5781, 4
Find a such that 2*a**5/11 - 2734*a**4/11 + 954608*a**3/11 - 13838944*a**2/11 + 43696640*a/11 + 58492928/11 = 0.
-1, 8, 676
Suppose -c**3/5 - 14*c**2 + 77*c/5 + 426/5 = 0. Calculate c.
-71, -2, 3
Determine c so that -4*c**2/3 + 360*c + 7756/3 = 0.
-7, 277
Factor 4*m**4 - 42*m**3 + 74*m**2 + 120*m.
2*m*(m - 4)*(m + 1)*(2*m - 15)
Factor 2*r**2 - 156*r + 2704.
2*(r - 52)*(r - 26)
Factor -21*r**2/4 - 26*r + 5/4.
-(r + 5)*(21*r - 1)/4
Suppose -4*z**2 - 10916*z + 32784 = 0. Calculate z.
-2732, 3
Factor -4*o**3 - 46224*o**2 + 184948*o - 138720.
-4*(o - 3)*(o - 1)*(o + 11560)
Factor -i**4 - 1685*i**3 + 962400*i**2 - 162176000*i + 8867840000.
-(i - 160)**3*(i + 2165)
Factor -2*z**3/7 - 361926*z**2/7 - 2339088960*z + 2339140664.
-2*(z - 1)*(z + 90482)**2/7
What is t in -t**2 + 121*t - 3010 = 0?
35, 86
Find t, given that 2*t**3 + 29680*t**2 - 59366*t + 29684 = 0.
-14842, 1
Factor -3*n**4/2 + 1428*n**3 - 344121*n**2 + 2026332*n - 6040683/2.
-3*(n - 473)**2*(n - 3)**2/2
Let -3*d**5/7 - 1404*d**4/7 - 99798*d**3/7 - 823176*d**2/7 - 2394927*d/7 - 2357748/7 = 0. What is d?
-383, -76, -3
Find w such that -35*w**3 + 13765*w**2 + 23720*w - 7900 = 0.
-2, 2/7, 395
Suppose 27*h**5 - 2034*h**4 - 46725*h**3 + 4246332*h**2 + 2846160*h + 475200 = 0. What is h?
-44, -1/3, 60
Let -5*s**3 - 1040*s**2 + 3155*s - 2110 = 0. Calculate s.
-211, 1, 2
Solve 2*u**3/21 - 992*u**2/3 - 13906*u/7 - 20868/7 = 0.
-3, 3478
Factor -4*b**3 + 87456*b**2 - 349776*b + 349760.
-4*(b - 21860)*(b - 2)**2
Factor 2*j**3/7 - 1676*j**2/7 - 6728*j/7 - 6736/7.
2*(j - 842)*(j + 2)**2/7
Find t such that 4*t**3/7 + 134660*t**2/7 + 161875744*t - 3400602672/7 = 0.
-16834, 3
Find p, given that 2*p**2/9 - 968*p/9 - 20558/3 = 0.
-57, 541
What is f in -8450*f**5/7 + 7024810*f**4/7 - 2375342*f**3/7 - 1095522*f**2/7 + 219312*f/7 + 59832/7 = 0?
-3/13, 2/5, 831
Determine k, given that k**5 - 759*k**4 - 9204*k**3 - 36944*k**2 - 49344*k = 0.
-4, 0, 771
Solve 2*p**2 - 2872*p + 5736 = 0 for p.
2, 1434
Solve 5*f**4 - 5275*f**3 - 26480*f**2 - 21200*f = 0.
-4, -1, 0, 1060
Factor 5*j**4 - 50*j**3 - 95*j**2 + 1400*j.
5*j*(j - 8)*(j - 7)*(j + 5)
Factor -m**2/2 + 6365*m - 40513225/2.
-(m - 6365)**2/2
Suppose -5*a**5 + 180*a**4 - 1150*a**3 + 800*a**2 + 1155*a - 980 = 0. Calculate a.
-1, 1, 7, 28
Factor -c**2/2 + 10856*c - 21711/2.
-(c - 21711)*(c - 1)/2
Let l**2/3 + 420*l - 2524/3 = 0. What is l?
-1262, 2
Determine j so that -j**3 - 311*j**2 - 19979*j - 19669 = 0.
-221, -89, -1
Factor -4*x**2 + 112*x + 17712.
-4*(x - 82)*(x + 54)
Solve 2*o**2 - 1000*o - 13338 = 0 for o.
-13, 513
Find a, given that -a**3/4 - 93*a**2/4 + 965*a/2 + 1650 = 0.
-110, -3, 20
Factor -2*x**2/3 + 115532*x/3 - 1668455378/3.
-2*(x - 28883)**2/3
Determine r so that 43200*r**5 - 8352*r**4 + 492*r**3 - 8*r**2 = 0.
0, 2/75, 1/12
Suppose 202*x**2/5 + 323*x - 8/5 = 0. What is x?
-8, 1/202
Factor -4*x**2 - 980*x - 41800.
-4*(x + 55)*(x + 190)
Determine b, given that -b**5/3 - 622*b**4 - 540649*b**3/3 + 102580240*b**2 - 27198606400*b/3 = 0.
-1085, 0, 152
Factor -28*v**3/3 - 701912*v**2/9 - 1466344304*v/9 - 139645472/9.
-4*(v + 4178)**2*(21*v + 2)/9
Factor 3*o**3 + 417*o**2 + 1224*o.
3*o*(o + 3)*(o + 136)
Determine o so that 2*o**2 - 11042*o - 55260 = 0.
-5, 5526
Determine r so that r**4/2 - 553*r**3/2 - 3*r**2/2 + 1661*r/2 - 553 = 0.
-2, 1, 553
Factor -2*g**4 + 1158*g**3 - 15918*g**2 + 55370*g.
-2*g*(g - 565)*(g - 7)**2
Determine u so that u**4/6 + 3659*u**3/6 + 1481025*u**2/2 + 1766235625*u/6 - 14706125000/3 = 0.
-1225, 16
Factor 2*a**2/11 + 16684*a/11 - 16686/11.
2*(a - 1)*(a + 8343)/11
Factor -2*y**2 + 45264*y - 226270.
-2*(y - 22627)*(y - 5)
Suppose -9*q**5/4 + 518241*q**4/2 + 863751*q**3 + 2073015*q**2/2 + 2073021*q/4 + 86376 = 0. What is q?
-1, -1/3, 115168
Determine g so that -10*g**5/9 - 1996*g**4/9 - 16270*g**3/9 + 29948*g**2/9 + 28952*g/9 - 15280/9 = 0.
-191, -10, -1, 2/5, 2
Let -2*j**2/7 - 38708*j/7 + 77424/7 = 0. Calculate j.
-19356, 2
Determine z so that -z**4/2 + 622*z**3 + 2491*z**2/2 + 623*z = 0.
-1, 0, 1246
Factor -2*x**2/7 - 5790*x + 40532/7.
-2*(x - 1)*(x + 20266)/7
Factor -3*i**3/7 + 3147*i**2/7 - 731952*i/7 - 50276160/7.
-3*(i - 552)**2*(i + 55)/7
Factor 2*h**4/3 + 854*h**3/3 + 41800*h**2 + 7774496*h/3 + 174712448/3.
2*(h + 76)**3*(h + 199)/3
Solve -3*n**4/7 - 10620*n**3/7 + 63831*n**2/7 + 10620*n/7 - 63828/7 = 0.
-3546, -1, 1, 6
Factor o**3/7 + 236*o**2/7 + 6116*o/7 - 13184/7.
(o - 2)*(o + 32)*(o + 206)/7
Let -p**2 - 3407*p + 6818 = 0. Calculate p.
-3409, 2
Let 2*y**2/7 - 1282132*y/7 + 205482808178/7 = 0. Calculate y.
320533
What is m in m**4/2 + 105*m**3/2 - 685*m**2/2 - 2085*m/2 + 1332 = 0?
-111, -3, 1, 8
Solve k**4/8 + 13*k**3 - 19374*k**2 - 1025024*k + 777125888 = 0 for k.
-308, 256
Factor -2*w**2 - 1623860*w - 329615162450.
-2*(w + 405965)**2
Let -11*r**4 - 493*r**3/3 - 408*r**2 - 716*r/3 + 16 = 0. What is r?
-12, -2, -1, 2/33
What is a in a**2 - 9717*a + 87372 = 0?
9, 9708
Solve -a**4 + 4572*a**3 + 22882*a**2 + 13740*a - 41193 = 0.
-3, 1, 4577
Solve -14*x**5 + 88*x**4 + 354*x**3 - 3188*x**2 + 5080*x - 1200 = 0.
-6, 2/7, 2, 5
Factor -390446*x**3 + 112892*x**2 + 31872*x - 9216.
-2*(7*x + 2)*(167*x - 48)**2
Factor 4*t**2 - 40672*t + 365724.
4*(t - 10159)*(t - 9)
Factor 5*w**2 + 1000*w - 25645.
5*(w - 23)*(w + 223)
Factor 37*v**4 - 594*v**3 + 1105*v**2 - 576*v + 28.
(v - 14)*(v - 1)**2*(37*v - 2)
Factor q**2/5 + 2297*q/5 + 76212.
(q + 180)*(q + 2117)/5
Suppose 4*g**4 - 4014908*g**3 + 1343293197300*g**2 - 149812564875772500*g + 299619756610875000 = 0. What is g?
2, 334575
Find f, given that f**4/3 - 200*f**3/3 + 10000*f**2/3 = 0.
0, 100
Factor 3*j**2/4 - 9930*j - 39723/4.
3*(j - 13241)*(j + 1)/4
Factor 3*u**3 - 1104*u**2 + 95823*u + 1071630.
3*(u - 189)**2*(u + 10)
Solve 4*b**5 - 488*b**4 - 1500*b**3 = 0 for b.
-3, 0, 125
Find m, given that 3*m**3 - 3195*m**2 + 653976*m + 110230116 = 0.
-107, 586
Solve z**2/3 + 114*z + 8775 = 0.
-225, -117
Factor j**2/3 - 1960*j - 5883.
(j - 5883)*(j + 3)/3
Determine r, given that -2*r**3/9 + 188*r**2/9 - 368*r/9 = 0.
0, 2, 92
Factor 4*r**2 - 3032*r + 574564.
4*(r - 379)**2
Factor 3*a**2 + 36210*a - 543825.
3*(a - 15)*(a + 12085)
Solve 2*s**2/11 - 227318*s/11 - 227320/11 = 0 for s.
-1, 113660
Let -28*w**5 + 533*w**4 - 2453*w**3 + 3388*w**2 - 780*w = 0. Calculate w.
0, 2/7, 2, 15/4, 13
Determine y, given that -8*y**4 + 6274*y**3 - 28179*y**2/2 + 84483*y/8 - 10557/4 = 0.
