13, 20
Factor 5*i**4 + 600*i**3 + 11995*i**2 + 11400*i.
5*i*(i + 1)*(i + 24)*(i + 95)
Factor -n**2 - 8502*n - 18071001.
-(n + 4251)**2
Solve -23*w**4/3 - 13642*w**3/3 - 593*w**2 = 0 for w.
-593, -3/23, 0
Let -5*c**4 - 14010*c**3 - 9394805*c**2 + 593864700*c + 603245500 = 0. What is c?
-1430, -1, 59
Suppose -4*u**4/7 - 12*u**3/7 + 40*u**2 + 576*u/7 = 0. Calculate u.
-9, -2, 0, 8
Solve f**2/4 - 65*f/4 - 1125/2 = 0 for f.
-25, 90
Factor -a**2 - 742*a - 48837.
-(a + 73)*(a + 669)
Let -10*h**4/17 + 118*h**3/17 + 202*h**2/17 - 622*h/17 + 312/17 = 0. Calculate h.
-3, 4/5, 1, 13
Let -a**2/9 - 1492*a/9 - 552160/9 = 0. Calculate a.
-812, -680
Factor 2*s**4/9 + 2960*s**3/9 + 1074284*s**2/9 - 1719760*s + 6076098.
2*(s - 7)**2*(s + 747)**2/9
Let -g**5/4 + 595*g**4/4 - 14523*g**3/2 + 221617*g**2/2 - 1851017*g/4 + 1436235/4 = 0. Calculate g.
1, 5, 23, 543
Factor j**3/5 - 12719*j**2/5 - 25441*j/5 - 12721/5.
(j - 12721)*(j + 1)**2/5
Factor -18*w**2 + 53085*w - 8847.
-3*(w - 2949)*(6*w - 1)
Determine v, given that -4*v**4/5 - 4228*v**3/5 - 16868*v**2/5 - 21068*v/5 - 8424/5 = 0.
-1053, -2, -1
Let -72*l**5 + 40236*l**4 + 6760*l**3 - 29040*l**2 - 15648*l - 2236 = 0. What is l?
-1/2, -1/3, 1, 559
Find l such that -2*l**4/5 - 456*l**3/5 - 25992*l**2/5 = 0.
-114, 0
Factor 3*v**2 - 438*v - 8856.
3*(v - 164)*(v + 18)
Let p**5 - 19*p**4 + 135*p**3 - 437*p**2 + 620*p - 300 = 0. Calculate p.
1, 2, 5, 6
Determine r so that -898*r**2 + 24242*r/3 + 12 = 0.
-2/1347, 9
Suppose -4*p**2 + 268672*p - 4511540224 = 0. Calculate p.
33584
Find j, given that 28*j**3/9 - 27284*j**2/9 + 11672*j/9 + 15584/9 = 0.
-4/7, 1, 974
Suppose 105625*n**5/2 + 253175*n**4/2 + 46727*n**3 - 100823*n**2 - 199079*n/2 - 51529/2 = 0. What is n?
-1, -227/325, 1
Factor 2*v**2/11 + 18*v + 760/11.
2*(v + 4)*(v + 95)/11
Find a, given that 3*a**4 - 1247814*a**3 + 129754562691*a**2 - 259505381952*a + 129752067072 = 0.
1, 207968
Factor -16*y**3/3 + 242*y**2/3 - 292*y.
-2*y*(y - 6)*(8*y - 73)/3
Factor -2*g**2/15 + 11872*g/15 - 16562.
-2*(g - 5915)*(g - 21)/15
Solve -44*f**4/3 + 4429*f**3/3 - 2399*f**2 - 990*f = 0 for f.
-15/44, 0, 2, 99
Let -j**5 + 36*j**4 + 43*j**3 - 218*j**2 - 156*j + 296 = 0. What is j?
-2, 1, 2, 37
Solve -93829*q**2/5 + 187659*q/5 - 2/5 = 0.
1/93829, 2
Factor -2*j**2 - 3960*j + 3962.
-2*(j - 1)*(j + 1981)
Find v, given that -2*v**2/5 + 476*v + 4768/5 = 0.
-2, 1192
Factor -r**2/5 - 2599702*r/5 - 1689612622201/5.
-(r + 1299851)**2/5
Factor 2*m**2/3 + 2228*m - 6686/3.
2*(m - 1)*(m + 3343)/3
Let -1407*k**5/4 + 1419*k**4/2 + 1422*k**3 - 2892*k**2 - 60*k + 216 = 0. What is k?
-2, -18/67, 2/7, 2
Factor d**2/11 + 648*d/11 + 7632/11.
(d + 12)*(d + 636)/11
Solve b**3 - 167405*b**2 + 7006192208*b - 7006024804 = 0.
1, 83702
Factor -3*x**2 - 9579*x - 9576.
-3*(x + 1)*(x + 3192)
Solve 4*k**3 - 54372*k**2 + 184688064*k + 554553648 = 0.
-3, 6798
Factor 2*o**3 - 9562*o**2 + 11481390*o - 125140950.
2*(o - 2385)**2*(o - 11)
Suppose -2*o**2 - 198824*o - 4941372872 = 0. Calculate o.
-49706
Determine u so that 4*u**5/5 - 552*u**4/5 - 12*u**3/5 + 1664*u**2/5 - 1104*u/5 = 0.
-2, 0, 1, 138
Find m such that -m**3 - 3522*m**2 - 3101121*m = 0.
-1761, 0
Solve -34*i**5 + 491*i**4/3 - 2284*i**3/9 + 419*i**2/3 - 92*i/3 + 20/9 = 0.
5/34, 1/3, 2
Determine x so that -63*x**5/2 + 417*x**4/2 - 393*x**3/2 - 633*x**2/2 + 120*x = 0.
-1, 0, 1/3, 16/7, 5
Let 3*w**3 + 1347*w**2 + 6672*w + 5328 = 0. Calculate w.
-444, -4, -1
Solve -309*y**3/5 - 501*y**2/5 - 15*y + 117/5 = 0.
-1, 39/103
Let w**4 - 75*w**3 - 5074*w**2 = 0. What is w?
-43, 0, 118
What is a in -3*a**2 - 2361*a - 254646 = 0?
-658, -129
Factor -2*s**2/15 - 19214*s/15.
-2*s*(s + 9607)/15
Factor -3*z**2/7 - 9687*z/7 + 9690/7.
-3*(z - 1)*(z + 3230)/7
Factor -5*m**3 + 175*m**2 + 365*m + 185.
-5*(m - 37)*(m + 1)**2
Factor -q**2/2 - 5603*q/2 - 5601.
-(q + 2)*(q + 5601)/2
Determine o, given that -2*o**3 + 2252*o**2 - 568760*o - 37594800 = 0.
-54, 590
Determine l, given that 36*l**5/5 + 89016*l**4/5 + 148237*l**3/5 - 56831*l**2/5 + 4942*l/5 = 0.
-2471, -2, 0, 1/6
Find b, given that 3*b**4/5 + 96*b**3/5 + 66*b**2/5 - 864*b/5 - 837/5 = 0.
-31, -3, -1, 3
Find n, given that -2*n**5/9 + 34*n**4/3 - 1246*n**3/9 - 1454*n**2/9 + 416*n/3 + 1352/9 = 0.
-1, 1, 26
Find g such that 2*g**4/13 - 8*g**3/13 - 444*g**2/13 + 4040*g/13 - 9350/13 = 0.
-17, 5, 11
Suppose -130*g**4/7 - 524*g**3/7 + 1544*g**2/7 + 48*g/7 = 0. What is g?
-6, -2/65, 0, 2
Solve -3*t**2 - 675*t + 3450 = 0.
-230, 5
Determine c, given that -2*c**2 - 54292*c - 108576 = 0.
-27144, -2
Factor -6*r**3/7 - 25934*r**2/7 + 311856*r/7 - 936216/7.
-2*(r - 6)**2*(3*r + 13003)/7
Determine q so that 2*q**3 + 14*q**2 - 16408*q - 242520 = 0.
-86, -15, 94
Find w such that w**3/3 - 3645*w**2 - 21879*w - 32823 = 0.
-3, 10941
Factor -3*u**2 - 3180*u - 842700.
-3*(u + 530)**2
What is g in 3*g**2 + 20985*g = 0?
-6995, 0
Find i, given that -124*i**4 - 3350*i**3/3 - 3354*i**2 - 3366*i - 18 = 0.
-3, -1/186
Determine g, given that 2*g**4 + 844*g**3 + 87338*g**2 - 359544*g + 362952 = 0.
-213, 2
Find i, given that i**2/4 - 1213*i/4 + 81403 = 0.
401, 812
Factor -5*w**4 - 700*w**3 - 33750*w**2 - 607500*w - 2278125.
-5*(w + 5)*(w + 45)**3
Suppose -5*r**2 - 10200*r - 50875 = 0. What is r?
-2035, -5
Factor -2*m**3/17 - 110386*m**2/17 - 110384*m/17.
-2*m*(m + 1)*(m + 55192)/17
Find g, given that 10*g**3 - 172*g**2 - 770*g - 588 = 0.
-14/5, -1, 21
Factor -2*f**3 - 1669826*f**2 - 348537354032*f + 1045627090584.
-2*(f - 3)*(f + 417458)**2
Factor 9*z**3 - 91*z**2 - 2090*z.
z*(z + 11)*(9*z - 190)
Find x, given that 375*x**5 - 800*x**4 + 1430*x**3/3 - 160*x**2/3 + 5*x/3 = 0.
0, 1/15, 1
Factor -x**3/4 + 4*x**2 + 1401*x/4 - 1080.
-(x - 45)*(x - 3)*(x + 32)/4
Suppose -1587*y**3/7 + 644*y**2 - 748*y/7 + 32/7 = 0. Calculate y.
2/23, 8/3
Factor 2*m**2 + 25638*m + 1022320.
2*(m + 40)*(m + 12779)
Suppose -2*o**4 - 324*o**3 - 6202*o**2 - 5880*o = 0. What is o?
-140, -21, -1, 0
Factor -2*j**2 - 6238*j.
-2*j*(j + 3119)
Factor a**4/4 + 11*a**3/4 - 55*a**2/4 + 73*a/4 - 15/2.
(a - 2)*(a - 1)**2*(a + 15)/4
Suppose 21*b**5/5 - 258*b**4/5 - 4968*b**3/5 + 45456*b**2/5 + 93264*b/5 - 6048 = 0. Calculate b.
-14, -2, 2/7, 10, 18
Solve 2*z**3/9 + 45818*z**2/9 + 87478016*z/3 + 29154248 = 0 for z.
-11454, -1
Solve 4*g**5 + 372*g**4 + 6020*g**3 + 29628*g**2 + 23976*g = 0 for g.
-74, -9, -1, 0
Factor -2*b**3 + 142610*b**2 + 285226*b + 142614.
-2*(b - 71307)*(b + 1)**2
Find s, given that -2*s**4 - 56*s**3 - 280*s**2 - 352*s = 0.
-22, -4, -2, 0
Let 3*h**2 + 777120*h + 50326291200 = 0. What is h?
-129520
Let 2*j**3/3 - 95014*j**2/3 + 1128219952*j/3 + 5643475360/3 = 0. What is j?
-5, 23756
Find l, given that 4*l**3 - 14296*l**2 + 12759168*l + 25575552 = 0.
-2, 1788
Find v such that -77*v**3 + 1116557*v**2 + 290032*v - 174012 = 0.
-6/11, 2/7, 14501
Suppose 3*p**4/4 + 19431*p**3/4 - 19443*p**2 = 0. Calculate p.
-6481, 0, 4
Find k such that -k**3/6 + 114085*k**2/6 + 228173*k/6 + 38029/2 = 0.
-1, 114087
Find u such that -5*u**4 + 35*u**3 + 17125*u**2 - 171375*u + 427500 = 0.
-60, 5, 57
Factor 5*r**2/6 - 34835*r/3 + 69665/6.
5*(r - 13933)*(r - 1)/6
Factor -z**3/10 - 605349*z**2/10 - 18322310055*z/2 + 18322431125/2.
-(z - 1)*(z + 302675)**2/10
Factor -2*f**3/13 - 24*f**2 + 586710*f/13 - 96348700/13.
-2*(f - 265)**2*(f + 686)/13
Factor 4*l**4/3 + 556*l**3/3 - 57684*l**2 + 3781836*l - 76546440.
4*(l - 57)**3*(l + 310)/3
Let 4*b**2 - 282752*b + 4996793344 = 0. Calculate b.
35344
Let -r**5/7 - 1177*r**4 - 32938*r**3/7 + 16482*r**2/7 + 98811*r/7 - 74115/7 = 0. Calculate r.
-8235, -3, 1
Solve -b**5 - 1169*b**4 - 5817*b**3 + 3505*b**2 + 15122*b - 11640 = 0.
-1164, -5, -2, 1
Let 17*i**3/3 - 232*i**2/3 + 749*i/3 + 98 = 0. Calculate i.
-6/17, 7
Let 4*q**2 + 524*q - 24048 = 0. Calculate q.
-167, 36
Suppose 2*r**4 + 3494*r**3 + 24382*r**2 + 38290*r + 17400 = 0. What is r?
-1740, -5, -1
Factor -2*y**2 - 2304*y + 422786.
-2*(y - 161)*(y + 1313)
Factor -c**5/3 + 7*c**4 - 167*c**3/3 + 213*c**2 - 396*c + 288.
-(c - 8)*(c - 4)*(c - 3)**3/3
Factor 3*k**3/2 + 63937*k**2 - 42625*k/2.
k*(k + 42625)*(3*k - 1)/2
Find t, given that -3*t**4 + 138*t**3 - 519*t**2 + 636*t - 252 = 0.
1, 2, 42
Determine t so that -t**2/2 - 6195*t/2 + 3098 = 0.
-6196, 1
Solve -25*m**4 - 1370*m**3 - 8855*m**2 + 14930*m + 16920 = 0 for m.
-47, -9, -