n that 5*r**5/6 - 55*r**4/6 - 475*r**3/6 + 3155*r**2/6 + 3745*r/3 + 1960/3 = 0.
-8, -1, 7, 14
Suppose 5*w**5 - 1515*w**4 + 13335*w**3 - 30965*w**2 + 27960*w - 8820 = 0. What is w?
1, 6, 294
Solve -2*r**3/11 + 280*r**2/11 - 718*r - 11220 = 0.
-11, 66, 85
Find t such that 3*t**4 + 5*t**3/2 - 147*t**2/2 - 209*t/2 + 345/2 = 0.
-23/6, -3, 1, 5
Factor -h**2/2 - 606617*h - 367984184689/2.
-(h + 606617)**2/2
Factor -43*c**2 - 5685*c - 1188.
-(c + 132)*(43*c + 9)
Suppose -4*h**4 - 464*h**3 - 10820*h**2 + 11288*h = 0. What is h?
-83, -34, 0, 1
Determine q so that 2*q**4/15 - 96*q**3/5 + 4316*q**2/15 + 145248*q/5 + 4578338/15 = 0.
-17, 89
Find w such that 6*w**4 - 4996*w**3 + 23224*w**2 - 33136*w + 13248 = 0.
2/3, 2, 828
Solve -4*s**3/3 - 5144*s**2 - 5126784*s - 316343808 = 0.
-1896, -66
Factor -2*m**2 - 12696*m.
-2*m*(m + 6348)
Factor 6*l**2/7 - 651684*l/7 + 17695501494/7.
6*(l - 54307)**2/7
Factor 2*p**3 + 4175*p**2 - 2088*p.
p*(p + 2088)*(2*p - 1)
Determine m so that -2*m**3/21 - 46*m**2/7 - 3172*m/21 - 8096/7 = 0.
-24, -23, -22
Find q such that -2*q**4/3 + 530*q**3/9 - 698*q**2/9 + 58*q/3 = 0.
0, 1/3, 1, 87
Find k, given that 4*k**3 + 14116*k**2 + 196936*k + 337440 = 0.
-3515, -12, -2
Solve 3*z**3 + 4560*z**2 - 18279*z + 13716 = 0 for z.
-1524, 1, 3
Factor 4*b**5 - 48*b**4 - 12*b**3 + 1720*b**2 - 4800*b.
4*b*(b - 8)*(b - 5)**2*(b + 6)
Let -2*r**3 - 3508*r**2 + 3510*r = 0. Calculate r.
-1755, 0, 1
Suppose 2*l**4 - 5240*l**3 - 15732*l**2 - 15736*l - 5246 = 0. Calculate l.
-1, 2623
Factor -4*n**5 - 376*n**4 + 1224*n**3 + 5888*n**2 + 6620*n + 2328.
-4*(n - 6)*(n + 1)**3*(n + 97)
Factor m**5 - 12027*m**4 - 6*m**3 + 72170*m**2 - 96219*m + 36081.
(m - 12027)*(m - 1)**3*(m + 3)
Suppose 10125*g**4 + 547650*g**3 + 2529245*g**2 + 221580*g + 4900 = 0. What is g?
-49, -5, -2/45
Let -6*s**3/5 + 16698*s**2/5 - 2321856*s - 11625984/5 = 0. Calculate s.
-1, 1392
What is n in -4*n**5 + 3224*n**4 + 12*n**3 - 9664*n**2 - 6448*n = 0?
-1, 0, 2, 806
Factor -321*p**2 - 639*p + 6.
-3*(p + 2)*(107*p - 1)
Factor 2*d**2/3 - 2354*d + 14116/3.
2*(d - 3529)*(d - 2)/3
Determine k so that 9*k**3 - 3543*k**2 + 150640*k - 1700300 = 0.
70/3, 347
Find a such that 3*a**5 - 60*a**4 - 51*a**3 + 1128*a**2 - 2220*a + 1200 = 0.
-5, 1, 2, 20
Find t, given that t**4 - 38716*t**3 + 38710*t**2 + 193572*t + 116145 = 0.
-1, 3, 38715
Find w, given that 1805*w**3 - 610280*w**2 + 64225*w - 1690 = 0.
1/19, 338
Find y such that y**3/4 + 11429*y**2/2 + 22855*y + 22854 = 0.
-22854, -2
Factor f**3/6 + 6794*f**2/3 + 67919*f/6 + 27166/3.
(f + 1)*(f + 4)*(f + 13583)/6
Factor -4*w**3 + 956*w**2 + 421600*w + 29952448.
-4*(w - 487)*(w + 124)**2
Factor 5*t**3 - 2305*t**2 - 2370*t + 27720.
5*(t - 462)*(t - 3)*(t + 4)
Solve 2*g**3/3 - 82*g**2 + 5236*g/3 - 1664 = 0.
1, 26, 96
Suppose 11045*k**3 - 939107*k**2 + 119859*k/5 - 153 = 0. Calculate k.
3/235, 85
Suppose -p**2 + 665*p - 1326 = 0. Calculate p.
2, 663
Suppose -5*b**5 - 680*b**4 - 20155*b**3 + 208040*b**2 + 20160*b - 207360 = 0. What is b?
-72, -1, 1, 8
Factor -2*o**3/7 - 4378*o**2/7 - 17488*o/7 - 17480/7.
-2*(o + 2)**2*(o + 2185)/7
Find a such that -3*a**2 + 54366*a + 54369 = 0.
-1, 18123
Factor 3*x**2 - 603*x + 26934.
3*(x - 134)*(x - 67)
Solve 2*j**3 + 6286*j**2 + 310550*j + 3866250 = 0.
-3093, -25
Factor -2*k**2/7 - 508*k - 7104/7.
-2*(k + 2)*(k + 1776)/7
Find n such that n**5/4 + 1013*n**4/2 + 521099*n**3/2 + 4046625*n**2 + 13070025*n/4 - 15150375/2 = 0.
-1005, -15, -2, 1
Determine v so that -v**2/5 - 103*v/5 + 550 = 0.
-125, 22
Factor -2*v**2/11 + 214732*v/11 - 5763728978/11.
-2*(v - 53683)**2/11
What is t in 2*t**3/3 - 32155*t**2/6 + 120521*t/6 + 16070/3 = 0?
-1/4, 4, 8035
Suppose -9*i**5/4 - 1191*i**4/2 + 44517*i**3/4 + 73569*i**2/2 - 64236*i + 16920 = 0. Calculate i.
-282, -4, 1/3, 1, 20
Determine r, given that -4*r**4 - 388*r**3 - 8565*r**2 - 35800*r - 41875 = 0.
-67, -25, -5/2
Suppose -4*b**2 + 17792*b + 35600 = 0. Calculate b.
-2, 4450
Determine k, given that -4*k**2/5 + 548*k - 98344/5 = 0.
38, 647
Determine g so that g**4/3 - 251*g**3/3 + 16955*g**2/3 - 151225*g/3 + 121000 = 0.
5, 120, 121
Factor 28405*m**2/3 - 18938*m + 8/3.
(m - 2)*(28405*m - 4)/3
Find v such that v**5/2 + 321*v**4/2 + 5795*v**3/2 + 16895*v**2/2 - 48048*v + 36542 = 0.
-302, -11, 1, 2
What is m in m**4 + 54*m**3 - 4212*m**2 + 30618*m + 649539 = 0?
-99, -9, 27
Let -2*u**4/3 + 80*u**3/3 + 346*u**2/3 + 88*u = 0. What is u?
-3, -1, 0, 44
Factor -g**3/4 - 9*g**2/4 + 70*g + 300.
-(g - 15)*(g + 4)*(g + 20)/4
Factor 3*a**4 - 102*a**2 - 288*a - 189.
3*(a - 7)*(a + 1)*(a + 3)**2
Factor -29*h**3 + 210*h**2.
-h**2*(29*h - 210)
Suppose 2*u**4 - 124*u**3 - 74*u**2 + 4756*u - 10416 = 0. Calculate u.
-7, 3, 4, 62
Solve -2*x**2/7 - 61300*x/7 - 469711250/7 = 0.
-15325
Let 4*a**5/7 - 15325*a**4/7 + 14703351*a**3/7 - 47635632*a**2/7 + 10990188*a/7 = 0. Calculate a.
0, 1/4, 3, 1914
Determine l so that -2*l**2 + 2284*l - 616704 = 0.
438, 704
Determine l so that -2*l**2/3 - 7948*l/3 + 88154 = 0.
-4007, 33
Find i such that -169*i**5/4 - 3757*i**4/2 - 5185*i**3/2 + 2735*i**2 + 6339*i/4 + 387/2 = 0.
-43, -2, -3/13, 1
Find g, given that -g**2/4 + 2570*g - 6604900 = 0.
5140
Find o, given that -48*o**4 - 40056*o**3 - 20019*o**2 - 2502*o = 0.
-834, -1/4, 0
Let 4*a**5/17 - 230*a**4 + 934668*a**3/17 + 10229752*a**2/17 + 4880720*a/17 = 0. What is a?
-10, -1/2, 0, 494
Factor 50*g**3/7 + 180*g**2/7 - 24*g - 112.
2*(g - 2)*(5*g + 14)**2/7
Suppose 34*u**5/5 + 2762*u**4/5 - 62032*u**3/5 + 55208*u**2 + 68160*u = 0. Calculate u.
-1704/17, -1, 0, 10
Factor 148*z**2 + 1204*z + 1176.
4*(z + 7)*(37*z + 42)
Determine h so that 2*h**5 + 268*h**4 - 10726*h**3 + 115224*h**2 - 340920*h + 302400 = 0.
-168, 2, 15
What is y in -4*y**5/3 + 325*y**4/3 + 222*y**3 + 8*y**2/3 - 662*y/3 - 111 = 0?
-1, 1, 333/4
Factor -2*n**3/5 - 2544*n**2/5 - 5082*n/5 - 508.
-2*(n + 1)**2*(n + 1270)/5
Factor 2*y**3/5 + 18322*y**2/5 - 36652*y/5.
2*y*(y - 2)*(y + 9163)/5
Factor -u**3/9 + 52*u**2/9 - 599*u/9 + 1628/9.
-(u - 37)*(u - 11)*(u - 4)/9
Solve 60*u**3 + 95*u**2 - 230*u + 75 = 0 for u.
-3, 5/12, 1
Factor 28*n**4 - 232*n**3 + 588*n**2 - 432*n.
4*n*(n - 4)*(n - 3)*(7*n - 9)
Find u such that 4*u**3 - 173440*u**2 + 1879569172*u + 11283659736 = 0.
-6, 21683
Suppose 2*d**2/7 + 534*d/7 + 4644/7 = 0. What is d?
-258, -9
Find q, given that 2*q**3/7 + 39002*q**2/7 = 0.
-19501, 0
Factor h**2 + 25*h - 9944.
(h - 88)*(h + 113)
Determine o so that -o**5 + 342*o**4 + 2444*o**3 - 342*o**2 - 2443*o = 0.
-7, -1, 0, 1, 349
Factor 5*g**3 + 434725*g**2.
5*g**2*(g + 86945)
Suppose 6*s**5 + 4630*s**4 + 16894*s**3 - 1574*s**2 - 29172*s + 9216 = 0. Calculate s.
-768, -3, -2, 1/3, 1
Determine o, given that -2*o**5/13 - 6436*o**4/13 + 38664*o**3/13 - 77360*o**2/13 + 3968*o = 0.
-3224, 0, 2
Solve -24*b**5 - 9128*b**4 - 30094*b**3 + 24888*b**2 + 2254*b - 3016 = 0.
-377, -4, -1/3, 1/2
Suppose -r**2/2 + 24829*r/2 + 111771 = 0. Calculate r.
-9, 24838
Determine c so that -40*c**4 + 834*c**3 + 3650*c**2 - 8376*c - 3880 = 0.
-5, -2/5, 2, 97/4
Factor -3*v**3 - 1020*v**2 - 6993*v.
-3*v*(v + 7)*(v + 333)
Determine m so that m**3/3 - 424*m**2/3 - 57244*m/3 - 112784/3 = 0.
-106, -2, 532
Factor -5*a**3 - 5105*a**2 + 1001805*a - 45224775.
-5*(a - 87)**2*(a + 1195)
Determine p so that -2*p**3 - 50*p**2 + 4452*p - 34560 = 0.
-64, 9, 30
What is g in 2*g**5/3 - 4*g**4 - 122*g**3 + 1544*g**2/3 - 520*g = 0?
-13, 0, 2, 15
Factor v**3/2 + 102*v**2 - 1477*v/2.
v*(v - 7)*(v + 211)/2
Let -40*m**5/3 - 375*m**4 - 7900*m**3/3 + 50*m**2 + 100100*m/3 + 4165 = 0. What is m?
-17, -7, -1/8, 3
Factor -f**3 - 168*f**2 + 26521*f + 310728.
-(f - 107)*(f + 11)*(f + 264)
Solve -2*l**3/3 - 974*l**2 - 354288*l + 1071648 = 0.
-732, 3
What is i in -988*i**4 - 9879*i**3 - 32594*i**2 - 35535*i + 36 = 0?
-4, -3, 1/988
Factor -2*c**3/5 - 23648*c**2/5.
-2*c**2*(c + 11824)/5
Suppose l**4/3 - 23782*l**3 + 71344*l**2 - 214030*l/3 + 23781 = 0. What is l?
1, 71343
Solve -d**2/10 + 168*d/5 + 338/5 = 0.
-2, 338
What is c in -2*c**4/7 - 5198*c**3/7 + 31236*c**2/7 - 62504*c/7 + 41680/7 = 0?
-2605, 2
What is m in -85*m**5/2 + 3895*m**4/2 - 9480*m**3 - 17290*m**2 + 19600*m = 0?
-2, 0, 14/17, 7, 40
Let -2*w**2/11 + 2384*w/11 - 4760/11 = 0. What is w?
2, 1190
Factor -2*o**4/5 - 2714*o**3 + 40722*o**2/5 - 40726*o/5 + 13576/5.
-2*(o 