*u + 3)
Solve -3*a**4/7 + 177*a**3/7 - 2643*a**2/7 + 4107*a/7 + 990 = 0.
-1, 3, 22, 35
Factor -2*u**4/7 + 9872*u**3/7 - 12211628*u**2/7 + 73003440*u/7 - 109372050/7.
-2*(u - 2465)**2*(u - 3)**2/7
Factor -f**2/4 - 142*f - 843.
-(f + 6)*(f + 562)/4
Factor v**4 + 25*v**3 - 3653*v**2 + 7227*v - 3600.
(v - 48)*(v - 1)**2*(v + 75)
Factor 3*z**2/4 + 375*z/4 + 5499/2.
3*(z + 47)*(z + 78)/4
Factor 484*d**3 + 7964*d**2 + 41385*d + 69192.
(d + 8)*(22*d + 93)**2
Let -3*c**2/2 - 30417*c/2 + 15210 = 0. What is c?
-10140, 1
Find c such that -c**4/5 - 2451*c**3 - 7515375*c**2 - 37515625*c = 0.
-6125, -5, 0
Factor -i**2 + 19602*i - 39200.
-(i - 19600)*(i - 2)
Factor -4*h**3/7 + 3372*h**2/7 - 702144*h/7 - 3595520/7.
-4*(h - 424)**2*(h + 5)/7
Factor -16*n**4 + 118*n**3 - 176*n**2 - 160*n.
-2*n*(n - 4)**2*(8*n + 5)
Find o such that -2*o**4/5 - 446*o**3/5 - 23682*o**2/5 - 46034*o/5 - 22796/5 = 0.
-139, -82, -1
Factor 2*p**2/7 - 131724*p/7 + 2168901522/7.
2*(p - 32931)**2/7
Factor -2*v**2/19 - 2445400*v/19 - 747497645000/19.
-2*(v + 611350)**2/19
Factor -4*w**2 - 4860*w + 98800.
-4*(w - 20)*(w + 1235)
Factor -3*i**3 - 50412*i**2 - 211780812*i.
-3*i*(i + 8402)**2
Factor -r**3/5 - 606*r**2/5 + 1605*r - 13618/5.
-(r - 11)*(r - 2)*(r + 619)/5
Determine w so that 3*w**3/4 + 777*w**2/2 + 4635*w/4 = 0.
-515, -3, 0
Suppose -2*m**5 + 5646*m**4 - 33662*m**3 - 400494*m**2 + 1348960*m + 9014400 = 0. What is m?
-5, 8, 2817
Factor i**3 + 32*i**2 - 2048*i.
i*(i - 32)*(i + 64)
Factor -2*f**4/7 - 530*f**3/7 - 45904*f**2/7 - 1305376*f/7.
-2*f*(f + 76)**2*(f + 113)/7
Suppose -2*y**4/3 + 658*y**3/3 + 3326*y**2/3 + 4670*y/3 + 668 = 0. Calculate y.
-3, -1, 334
Factor -3*f**2 + 1941*f + 13734.
-3*(f - 654)*(f + 7)
Determine a, given that 4*a**3 + 851036*a**2 + 45266817596*a + 45265966564 = 0.
-106379, -1
Factor 3*l**2 - 2502*l - 20208.
3*(l - 842)*(l + 8)
Factor -9*c**3 - 525*c**2 + 12828*c - 8316.
-3*(c - 18)*(c + 77)*(3*c - 2)
Factor 2*a**3/3 - 49342*a**2/3 - 49348*a.
2*a*(a - 24674)*(a + 3)/3
Determine a so that -3*a**2/2 + 6687*a/2 - 10017 = 0.
3, 2226
Factor -3*m**5/4 + 2439*m**4/2 - 1987779*m**3/4 + 990234*m**2 - 494508*m.
-3*m*(m - 812)**2*(m - 1)**2/4
Let -4*i**4/5 + 195256*i**3/5 - 2377724532*i**2/5 - 124037936048*i/5 - 1614210906256/5 = 0. What is i?
-26, 24433
Find r such that 4*r**5 + 48*r**4 - 2500*r**3 + 352*r**2 + 164976*r + 486080 = 0.
-31, -5, -4, 14
Determine m, given that -2*m**2 - 1180*m + 4752 = 0.
-594, 4
Suppose -2*c**3/5 - 56*c**2 - 9558*c/5 = 0. What is c?
-81, -59, 0
Find i, given that i**2/3 + 13063*i/6 + 3265 = 0.
-6530, -3/2
Factor p**3/11 - 590*p**2/11 + 43761*p/11.
p*(p - 503)*(p - 87)/11
Determine p so that 2139*p**2/4 + p = 0.
-4/2139, 0
Factor -3*k**2 - 865*k + 578.
-(k + 289)*(3*k - 2)
Factor 2*m**2/3 - 1456148*m/3 + 265045874738/3.
2*(m - 364037)**2/3
What is p in 18*p**5 - 1137*p**4 - 13833*p**3 - 43833*p**2 - 25605*p + 5550 = 0?
-5, -1, 1/6, 74
Let 54*p**5/7 - 660*p**4/7 + 1278*p**3/7 + 10008*p**2/7 - 34680*p/7 + 7200/7 = 0. What is p?
-4, 2/9, 5, 6
Factor i**3/4 - 111*i**2/4 - 279*i + 1080.
(i - 120)*(i - 3)*(i + 12)/4
Suppose 2*q**2/9 + 2702*q/3 + 40480/9 = 0. What is q?
-4048, -5
Factor -p**2 - 55*p + 65550.
-(p - 230)*(p + 285)
Factor -4*m**2/3 + 13288*m/3 + 93604.
-4*(m - 3343)*(m + 21)/3
Determine y, given that 2*y**4/9 - 8*y**3/9 - 64*y**2/3 = 0.
-8, 0, 12
Factor 2*y**2/11 + 864*y/11 - 866/11.
2*(y - 1)*(y + 433)/11
Factor -2*c**2/7 + 125530*c/7 + 251068/7.
-2*(c - 62767)*(c + 2)/7
Find h such that -3*h**2/2 - 1193751*h - 475013816667/2 = 0.
-397917
Factor t**2 - 8114*t.
t*(t - 8114)
Suppose 2*m**3 - 596*m**2 - 29506*m + 61380 = 0. Calculate m.
-45, 2, 341
What is z in -2*z**4/7 - 132*z**3/7 - 1754*z**2/7 - 624*z - 392 = 0?
-49, -14, -2, -1
Find l such that -3*l**4 + 245*l**3 - 402*l**2 + 160*l = 0.
0, 2/3, 1, 80
Determine u, given that 4*u**2 + 5286560*u + 1746732289600 = 0.
-660820
Let 2*b**4/15 - 112*b**3/15 + 558*b**2/5 - 5828*b/15 - 7616/15 = 0. What is b?
-1, 7, 16, 34
Factor 2*c**3 - 1338*c**2 + 138238*c + 139578.
2*(c - 541)*(c - 129)*(c + 1)
Solve -27*m**5/2 + 131613*m**4/2 - 306965*m**3/3 - 55226*m**2 - 19492*m/3 = 0 for m.
-2/9, 0, 2, 4873
Factor 3*c**3/4 - 351*c**2/4 + 330*c + 1017.
3*(c - 113)*(c - 6)*(c + 2)/4
Factor -2*i**5/5 - 1206*i**4/5 - 46084*i**3/5.
-2*i**3*(i + 41)*(i + 562)/5
Determine s, given that s**4/6 - 3013*s**3/6 + 504510*s**2 - 507536056*s/3 + 506024032/3 = 0.
1, 1004
Factor -2*r**2 - 6534*r.
-2*r*(r + 3267)
Find b, given that -6656*b**3 + 19958*b**2 + 26654*b + 40 = 0.
-1, -5/3328, 4
Determine a, given that 170*a**2 + 9085*a - 34485 = 0.
-57, 121/34
Factor 2*d**2/13 + 50268*d/13 - 754470/13.
2*(d - 15)*(d + 25149)/13
Factor -2*s**5/19 - 78*s**4/19 - 288*s**3/19 + 10368*s**2/19.
-2*s**2*(s - 9)*(s + 24)**2/19
Factor -3*b**3 + 3528*b**2 + 7065*b + 3534.
-3*(b - 1178)*(b + 1)**2
Factor -2*i**3/11 + 684*i**2/11 + 9870*i/11 - 14137600/11.
-2*(i - 235)**2*(i + 128)/11
Find d such that -2*d**2/5 + 25336*d/5 - 80239112/5 = 0.
6334
Factor 3*w**2 - 298446*w + 298443.
3*(w - 99481)*(w - 1)
Factor 105*o**2 - 79803*o + 2280.
3*(o - 760)*(35*o - 1)
Solve 2*p**3/17 - 28828*p**2/17 + 103881698*p/17 = 0 for p.
0, 7207
Factor -v**2/3 + 1570808*v/3 - 616859443216/3.
-(v - 785404)**2/3
Factor -3*v**4 + 990*v**3 - 74451*v**2 - 1191960*v - 4348848.
-3*(v - 172)**2*(v + 7)**2
Factor -2*u**4/5 - 17922*u**3/5 + 7170*u**2 - 17926*u/5.
-2*u*(u - 1)**2*(u + 8963)/5
Suppose -37*a**4 + 22087*a**3 + 45483*a**2 + 24557*a + 1198 = 0. Calculate a.
-1, -2/37, 599
What is p in -p**3/2 + 22721*p**2/2 - 34077*p = 0?
0, 3, 22718
Let 5*a**3 + 120*a**2 - 10955*a - 236670 = 0. What is a?
-49, -21, 46
Find x, given that 3*x**2/5 + 2537*x/5 - 846/5 = 0.
-846, 1/3
Suppose -5*t**2 - 715*t - 7860 = 0. What is t?
-131, -12
Suppose -n**5/3 + 185*n**4 + 2813*n**3/3 - 2429*n**2 + 3920*n/3 = 0. What is n?
-7, 0, 1, 560
Suppose -5*j**5/2 - 1585*j**4 + 15945*j**3/2 - 9595*j**2 - 6370*j + 12780 = 0. What is j?
-639, -1, 2
Factor -4*n**3 + 104592*n**2 + 523036*n + 627672.
-4*(n - 26153)*(n + 2)*(n + 3)
Solve z**5/8 + 103*z**4/8 - 6491*z**3/8 + 24805*z**2/8 - 15277*z/4 + 1517 = 0 for z.
-148, 1, 2, 41
Let -2*f**5/7 + 401*f**4/7 - 29723*f**3/7 + 952549*f**2/7 - 10300567*f/7 - 32185130/7 = 0. Calculate f.
-5/2, 47, 62
Factor -14*t**3 - 59*t**2 - 68*t - 12.
-(t + 2)**2*(14*t + 3)
Factor 2*d**2/11 - 2756*d/11 + 107040/11.
2*(d - 1338)*(d - 40)/11
Suppose 9*k**5/5 + 447*k**4/5 + 154*k**3/5 - 1322*k**2 + 2425*k - 1225 = 0. What is k?
-49, -5, 1, 5/3
Factor -2*n**2/23 + 3310*n/23 - 13208/23.
-2*(n - 1651)*(n - 4)/23
Factor -u**3/4 + 31*u**2/2 - 121*u/4 + 15.
-(u - 60)*(u - 1)**2/4
Factor -2*i**2/9 + 9442*i/9 - 9440/9.
-2*(i - 4720)*(i - 1)/9
What is r in 16*r**3 + 282956*r**2 + 495116*r - 141464 = 0?
-17683, -2, 1/4
Suppose 1166*j**4 - 1182*j**3 - 2316*j**2 + 32*j = 0. Calculate j.
-1, 0, 8/583, 2
Determine n, given that -5*n**2 - 53540*n + 267825 = 0.
-10713, 5
Factor 3*f**2/2 - 37236*f + 231086616.
3*(f - 12412)**2/2
Solve 2*r**2/3 + 1720824*r + 1110463214616 = 0 for r.
-1290618
Find y such that 5*y**2 + 1519880*y + 115501760720 = 0.
-151988
Find w, given that -6*w**3/17 - 5110*w**2/17 + 37828*w/17 + 27488/17 = 0.
-859, -2/3, 8
Suppose 27*a**2/2 - 1076403*a/2 - 119601 = 0. Calculate a.
-2/9, 39867
Factor 5*x**3 + 442*x**2/7.
x**2*(35*x + 442)/7
Determine h so that -4*h**4/7 - 417236*h**3/7 - 2072490684*h**2 - 24022239359300*h - 48036189232696 = 0.
-34769, -2
Determine f, given that 4*f**4 + 5844*f**3 + 204900*f**2 - 427348*f + 216600 = 0.
-1425, -38, 1
Find j such that -2*j**5/7 + 26*j**4/7 - 34*j**3/7 - 458*j**2/7 + 468*j/7 + 288 = 0.
-3, -2, 3, 7, 8
What is l in 3*l**3/2 - 7827*l**2/2 + 50640*l - 46728 = 0?
1, 12, 2596
Factor 2*i**4 - 75102*i**3 - 225318*i**2 - 225322*i - 75108.
2*(i - 37554)*(i + 1)**3
Determine c so that -4*c**2 - 3272*c + 39840 = 0.
-830, 12
Find v, given that 5*v**2/4 + 1416430*v + 401254788980 = 0.
-566572
Factor -z**4/7 + 534*z**3/7 + 3240*z**2/7.
-z**2*(z - 540)*(z + 6)/7
Factor 5*g**4 + 675*g**3 + 23115*g**2 + 22445*g.
5*g*(g + 1)*(g + 67)**2
Factor 3*s**2 - 9687702*s + 7820964170067.
3*(s - 1614617)**2
Let -27*z**5 - 2247*z**4 + 8817*z**3 - 4977*z**2 - 1566*z = 0. What is z?
-87, -2/9, 0, 1, 3
Factor 2*d**3/5 - 62*d**2/5 + 508*d/5 - 448/5.
