, 3
Factor -j**4/6 + 8363*j**3/6 - 141015*j**2 + 14344226*j/3 - 162345172/3.
-(j - 8261)*(j - 34)**3/6
Determine r so that -3*r**2 - 1179*r + 2157474 = 0.
-1067, 674
Solve 4*i**4/7 - 180*i**3/7 - 580*i**2/7 + 180*i/7 + 576/7 = 0 for i.
-3, -1, 1, 48
Suppose 52*q**3/5 + 132796*q**2/5 + 499752*q/5 - 24480 = 0. What is q?
-2550, -4, 3/13
Suppose 19*t**3/3 - 1706*t**2/3 - 2089*t/3 - 364/3 = 0. Calculate t.
-1, -4/19, 91
What is b in -2*b**5/5 + 12*b**4/5 + 36*b**3 + 568*b**2/5 + 654*b/5 + 252/5 = 0?
-3, -1, 14
Let -2*j**3/9 + 460*j**2/3 + 4424*j + 281456/9 = 0. What is j?
-14, 718
Factor -2*d**3 + 11932*d**2 + 35810*d + 23876.
-2*(d - 5969)*(d + 1)*(d + 2)
Let 3*q**5/7 - 1131*q**4/7 - 4563*q**3/7 - 3441*q**2/7 + 4560*q/7 + 4572/7 = 0. Calculate q.
-2, -1, 1, 381
Factor 3*q**4/2 - 219*q**3 - 2772*q**2 - 11280*q - 15168.
3*(q - 158)*(q + 4)**3/2
Factor 5*u**4/3 - 40*u**3 + 330*u**2 - 1080*u + 1215.
5*(u - 9)**2*(u - 3)**2/3
Factor c**5 - 1208*c**4 + 363590*c**3 + 750200*c**2 - 5490375*c.
c*(c - 605)**2*(c - 3)*(c + 5)
Factor 4*b**3 - 1068*b**2 - 4324*b - 3252.
4*(b - 271)*(b + 1)*(b + 3)
Determine r, given that -3*r**3/4 + 12573*r**2/4 - 18849*r/2 + 6282 = 0.
1, 2, 4188
Factor 2*i**3/3 - 94*i**2/3 + 664*i/3 + 760/3.
2*(i - 38)*(i - 10)*(i + 1)/3
Determine c so that 5*c**4 + 23180*c**3 + 27279620*c**2 + 959652000*c + 8569800000 = 0.
-2300, -18
Let -w**4/3 + 13*w**3 + 1754*w**2/3 - 1312*w - 14560/3 = 0. What is w?
-28, -2, 4, 65
Factor -2*x**2/5 + 139488*x/5 - 2432112768/5.
-2*(x - 34872)**2/5
What is z in z**5 - 14465*z**4 + 52834400*z**3 - 3799805920*z**2 + 70856997120*z - 67110011136 = 0?
1, 36, 7196
Factor -25*h**2 + 5070*h - 24725.
-5*(h - 5)*(5*h - 989)
Solve 15*l**5/7 - 1323*l**4 - 24153*l**3/7 - 16743*l**2/7 + 1854*l/7 + 3720/7 = 0 for l.
-1, 2/5, 620
Let 5*d**4 + 5970*d**3 + 2286600*d**2 + 359704750*d + 20229541875 = 0. What is d?
-639, -185
Factor 2*m**3/9 - 590*m**2/9 - 6784*m/9 + 1768.
2*(m - 306)*(m - 2)*(m + 13)/9
Factor -25538*p**2/3 + 48590*p - 138675/2.
-(226*p - 645)**2/6
Solve m**5/4 - 3405*m**4/2 + 6807*m**3/4 + 6809*m**2/2 = 0 for m.
-1, 0, 2, 6809
Let 4*q**3/7 + 458*q**2/7 + 4280*q/7 + 10450/7 = 0. What is q?
-209/2, -5
Solve 3*j**3 + 90*j**2 - 2127*j - 4590 = 0 for j.
-45, -2, 17
Factor -3*w**2 + 60*w + 567.
-3*(w - 27)*(w + 7)
Factor -4*v**4 + 752*v**3 + 34880*v**2 + 364800*v.
-4*v*(v - 228)*(v + 20)**2
Let l**4/5 - 4056*l**3/5 + 4059718*l**2/5 + 107617848*l/5 + 704000089/5 = 0. Calculate l.
-13, 2041
Determine r, given that 14*r**5 + 160*r**4 + 458*r**3 + 168*r**2 = 0.
-7, -4, -3/7, 0
Factor -4*l**3 + 441*l**2 - 8846*l + 2184.
-(l - 84)*(l - 26)*(4*l - 1)
Solve 12*p**5/7 - 332*p**4/7 - 16024*p**3/7 - 4968*p**2/7 + 16012*p/7 + 5300/7 = 0.
-25, -1, -1/3, 1, 53
Factor -74*p**2/5 - 20058*p/5 - 1084/5.
-2*(p + 271)*(37*p + 2)/5
Let -2*a**5 - 1762*a**4 + 10634*a**3 - 8870*a**2 = 0. What is a?
-887, 0, 1, 5
Suppose l**3/2 + 12895*l**2/2 + 20794796*l + 62326374 = 0. Calculate l.
-6446, -3
Determine i, given that 115*i**3/6 - 9895*i**2/3 + 60025*i/6 - 845 = 0.
2/23, 3, 169
Factor 1119364*k**2 - 33856*k + 256.
4*(529*k - 8)**2
Find j, given that -2*j**2/17 + 1196*j/17 - 71154/17 = 0.
67, 531
Let 5*c**4 - 2145*c**3 - 43095*c**2 + 117462605*c - 12628817370 = 0. What is c?
-234, 221
Suppose 2*c**5/5 - 17286*c**4/5 + 17276*c**3 = 0. Calculate c.
0, 5, 8638
Find l, given that -357*l**4/4 + 18927*l**3/2 - 171678*l**2 - 4492440*l + 151200 = 0.
-14, 4/119, 60
Solve h**2 - 689110*h + 118718148025 = 0 for h.
344555
Determine v, given that 20*v**2 - 108472*v + 173504 = 0.
8/5, 5422
Find u, given that -u**5 + 5*u**4 + 26*u**3 - 44*u**2 - 248*u - 224 = 0.
-2, 4, 7
Find b, given that 3*b**4/5 + 1146*b**3/5 + 2259*b**2/5 - 7968*b/5 + 912 = 0.
-380, -4, 1
Determine b, given that 21*b**5 - 90*b**4 - 1425*b**3 + 5790*b**2 + 5184*b - 1920 = 0.
-8, -1, 2/7, 5, 8
Factor -s**3/5 - 511*s**2/5 - 9776*s/5 + 21604/5.
-(s - 2)*(s + 22)*(s + 491)/5
Solve -2*r**4/15 - 148*r**3/15 - 182*r**2/5 + 200*r/3 + 280/3 = 0 for r.
-70, -5, -1, 2
Let 2*f**3/13 + 464*f**2/13 + 2034*f - 4212 = 0. Calculate f.
-117, 2
Factor a**3/4 - 71*a**2/4 - 12919*a - 12901.
(a - 266)*(a + 1)*(a + 194)/4
Solve 2*o**5/9 - 24508*o**4/9 + 24895702*o**3/3 + 2408842304*o**2/9 + 19321061888*o/9 = 0 for o.
-16, 0, 6143
Factor c**3/4 + 2743*c**2/4 + 2054*c - 2740.
(c - 1)*(c + 4)*(c + 2740)/4
Suppose 2*h**2 + 150460*h - 451398 = 0. What is h?
-75233, 3
Let 5*v**2 - 40765*v + 40760 = 0. What is v?
1, 8152
Solve 555*o**4 + 10*o**3 - 1665*o**2 - 1140*o - 20 = 0 for o.
-1, -2/111, 2
What is z in 5*z**2 - 13305*z + 26590 = 0?
2, 2659
Determine k, given that -279*k**4 - 546*k**3 + 10905*k**2 - 20556*k + 864 = 0.
-8, 4/93, 3
Let -4*t**3 + 5336*t**2 + 26756*t + 32136 = 0. Calculate t.
-3, -2, 1339
What is i in 2*i**4 + 24*i**3 - 46*i**2 - 780*i + 800 = 0?
-10, -8, 1, 5
Factor -3*r**3 - 240*r**2 + 636*r + 11808.
-3*(r - 8)*(r + 6)*(r + 82)
Factor -27*f**3 - 1683*f**2 + 82680*f - 786864.
-3*(f + 97)*(3*f - 52)**2
Factor -2*a**2/3 - 2580*a - 38650/3.
-2*(a + 5)*(a + 3865)/3
Factor v**2/3 - 9008*v/3 + 9007/3.
(v - 9007)*(v - 1)/3
Suppose -5*d**3 + 850*d**2 - 23625*d = 0. Calculate d.
0, 35, 135
Factor m**4/4 - 4555*m**3 + 20738913*m**2 + 83010320*m + 83028544.
(m - 9112)**2*(m + 2)**2/4
Determine m so that 2*m**3/15 + 668*m**2/5 + 136584*m/5 - 48177296/15 = 0.
-542, 82
Factor -n**4/3 - 39733*n**3/3 - 79462*n**2/3.
-n**2*(n + 2)*(n + 39731)/3
Find t, given that -186*t**5 - 772*t**4 - 112*t**3 + 2976*t**2 + 3424*t + 448 = 0.
-2, -14/93, 2
Find x such that -x**2/2 + 90720*x - 181438 = 0.
2, 181438
Suppose n**3 - 136*n**2 - 276*n = 0. What is n?
-2, 0, 138
Find b, given that -4*b**3 + 2892*b**2 - 590940*b + 23791700 = 0.
53, 335
Let 5*r**2 + 1700*r + 21255 = 0. What is r?
-327, -13
Factor 5*h**3/3 + 410*h**2/3 - 177600*h.
5*h*(h - 288)*(h + 370)/3
Determine j so that -6*j**5/7 + 62*j**4 + 9220*j**3/7 + 28632*j**2/7 + 2160*j = 0.
-14, -3, -2/3, 0, 90
Let 4*f**2 + 2016*f - 98820 = 0. Calculate f.
-549, 45
Factor -2*r**2/7 - 53646*r/7 + 268280/7.
-2*(r - 5)*(r + 26828)/7
Find h such that h**4/6 - 47*h**3/6 + 9*h**2/2 + 945*h/2 = 0.
-7, 0, 9, 45
Determine y, given that -y**4/3 + 904*y**3/3 - 11618*y**2/3 + 31136*y/3 + 14553 = 0.
-1, 7, 891
Solve 5*u**5 + 2120*u**4 + 218225*u**3 - 1386750*u**2 = 0 for u.
-215, 0, 6
Factor -3*d**3 - 234*d**2 + 4563*d + 4794.
-3*(d - 17)*(d + 1)*(d + 94)
Find y such that 9*y**4/4 + 42963*y**3/4 + 157353*y**2/4 - 271875*y/4 + 35775/2 = 0.
-4770, -5, 1/3, 1
Find y, given that -y**2/10 + 20633*y/5 - 425720689/10 = 0.
20633
Find m, given that 2*m**2 - 182039*m + 91019 = 0.
1/2, 91019
Determine b so that -15*b**4 - 4400*b**3 + 66945*b**2 - 250570*b + 138600 = 0.
-308, 2/3, 5, 9
Factor -3*a**3/4 - 645*a**2/4 - 9996*a - 136857.
-3*(a + 19)*(a + 98)**2/4
Suppose 27*j**5 - 936*j**4 - 17673*j**3/4 - 22425*j**2/4 - 1518*j - 117 = 0. Calculate j.
-2, -1/6, 39
Find j, given that 2*j**5/17 + 6676*j**4 + 226978*j**3/17 + 113488*j**2/17 = 0.
-56744, -1, 0
Factor r**2/5 + 781*r/5 + 6624.
(r + 45)*(r + 736)/5
Find t, given that -2*t**5/13 + 1076*t**4/13 - 3180*t**3/13 - 1232*t**2 - 18178*t/13 - 6420/13 = 0.
-1, 6, 535
Find u such that 3*u**2 + 17412*u + 17409 = 0.
-5803, -1
Let -n**5/4 + 5395*n**4/4 - 7332843*n**3/4 + 151726829*n**2/4 - 36099845*n = 0. Calculate n.
0, 1, 20, 2687
Factor 2*m**2/3 + 1853132*m/3 + 429262276178/3.
2*(m + 463283)**2/3
Determine r so that r**5/4 - 10*r**4 - 1101*r**3/2 + 10*r**2 + 2201*r/4 = 0.
-31, -1, 0, 1, 71
Suppose 2*f**4 - 4855*f**3 + 7260*f**2 + 43660*f + 19408 = 0. Calculate f.
-2, -1/2, 4, 2426
Suppose 5*d**4 + 5965*d**3 - 12005*d**2 - 65665*d + 71700 = 0. What is d?
-1195, -3, 1, 4
Let q**3/4 + 358*q**2 + 53333*q/4 + 251617/2 = 0. What is q?
-1394, -19
Determine u so that u**2/3 + 174*u - 24904/3 = 0.
-566, 44
Factor -2*f**2/17 + 6130*f/17 - 12252/17.
-2*(f - 3063)*(f - 2)/17
Find v such that 2*v**2/15 + 125768*v/15 + 1977198728/15 = 0.
-31442
Factor 2*s**2/9 + 866*s/9 + 96.
2*(s + 1)*(s + 432)/9
Factor -2*a**4 - 1472*a**3 - 362172*a**2 - 33607232*a - 1042509122.
-2*(a + 79)**2*(a + 289)**2
Find d such that -4*d**2 - 16176*d - 751436 = 0.
-3997, -47
Solve 3*w**3 - 156015*w**2 + 2027843856*w + 14202552756 = 0.
-7, 26006
Find t, given that 4*t**4 - 1784*t**3 + 26117