 0
Factor 3*i**3 + 5517*i**2 - 5520*i.
3*i*(i - 1)*(i + 1840)
Let 2*y**2/3 + 68438*y/3 + 22812 = 0. Calculate y.
-34218, -1
Factor 3*x**2/5 - 492*x/5 + 2709.
3*(x - 129)*(x - 35)/5
Factor 4*v**2 + 9301536*v + 5407410747456.
4*(v + 1162692)**2
Factor l**4 + 2*l**3 - 72*l**2 - 416*l - 640.
(l - 10)*(l + 4)**3
Factor b**2/2 - 67059*b/2 - 67061.
(b - 67061)*(b + 2)/2
Factor 3*s**3 - 171*s**2 + 162*s + 336.
3*(s - 56)*(s - 2)*(s + 1)
Suppose 2*h**2/7 - 247112*h + 53431297976 = 0. Calculate h.
432446
Factor 3*o**3 + 162183*o**2 + 2192024880*o + 2191862700.
3*(o + 1)*(o + 27030)**2
Factor -3*n**2/7 - 1861101*n/7 + 265872.
-3*(n - 1)*(n + 620368)/7
Let -u**4/2 - 1476*u**3 - 5893*u**2/2 + 10323*u - 5900 = 0. What is u?
-2950, -4, 1
Suppose n**5/3 - 59*n**4/3 - 229*n**3/3 + 22631*n**2/3 - 7448*n = 0. What is n?
-19, 0, 1, 21, 56
Let -2*y**2/17 + 10264*y/17 + 30810/17 = 0. What is y?
-3, 5135
Let -v**4/3 - 67*v**3 - 199*v**2/3 + 67*v + 200/3 = 0. What is v?
-200, -1, 1
Solve 2*h**3/9 + 214*h**2/3 - 13552*h/3 + 591136/9 = 0.
-377, 28
What is s in -4*s**2/7 + 796*s - 5568/7 = 0?
1, 1392
Factor q**3/2 - 209*q**2 - 3440*q - 13888.
(q - 434)*(q + 8)**2/2
Let 8*b**4 - 32556*b**3 - 146616*b**2 - 195536*b - 65184 = 0. What is b?
-2, -1/2, 4074
Let 3*f**4 - 2382*f**3 + 489456*f**2 + 25779870*f - 11771947971 = 0. What is f?
-133, 309
Solve -64386*v**4 - 2952362*v**3 + 3446412*v**2 - 998592*v + 3008 = 0.
-47, 2/657, 4/7
Solve d**3 + 757*d**2 - 14744*d = 0.
-776, 0, 19
Factor r**3 - 40*r**2 - 239*r + 630.
(r - 45)*(r - 2)*(r + 7)
Suppose -5*t**2 + 9605*t - 9600 = 0. Calculate t.
1, 1920
Find s such that 3*s**3/8 + 429*s**2/8 + 1995*s/4 = 0.
-133, -10, 0
Let -7*w**5/4 + 19*w**4/2 + 157*w**3/4 - 128*w**2 - 84*w = 0. Calculate w.
-4, -4/7, 0, 3, 7
Find p, given that -104*p**5 - 940*p**4 - 764*p**3 + 908*p**2 + 868*p + 32 = 0.
-8, -1, -1/26, 1
Determine b, given that -b**5 + 9*b**4 + 2785*b**3 - 2793*b**2 = 0.
-49, 0, 1, 57
Find r such that -2*r**2/5 + 2314*r/5 - 36512/5 = 0.
16, 1141
Determine a, given that -9*a**4/5 + 5988*a**3/5 + 22041*a**2/5 + 24072*a/5 + 8028/5 = 0.
-2, -1, -2/3, 669
Suppose -12*l**2/5 + 723*l/5 + 2079/5 = 0. What is l?
-11/4, 63
Factor -10*t**2/3 - 113374*t/9 - 15116/9.
-2*(t + 3779)*(15*t + 2)/9
Suppose -4*p**2/5 + 65626*p/5 - 32812/5 = 0. What is p?
1/2, 16406
Factor 4*f**2 - 5376*f + 790272.
4*(f - 1176)*(f - 168)
What is u in -2*u**3/3 - 1630*u**2/3 - 254134*u/3 + 33465766/3 = 0?
-449, 83
Factor 3*v**3 - 105*v**2 - 1527*v + 56925.
3*(v - 33)*(v - 25)*(v + 23)
Let 4*a**2 - 249336*a + 3885527556 = 0. What is a?
31167
Determine b so that 45*b**5 + 570*b**4 + 2480*b**3 + 4170*b**2 + 2035*b + 300 = 0.
-5, -4, -3, -1/3
What is i in 4*i**4 + 436*i**3 - 520*i**2 - 8800*i = 0?
-110, -4, 0, 5
Determine x, given that x**3/2 + 181*x**2/2 + 4080*x + 54450 = 0.
-121, -30
Find l, given that -84*l**3 - 271*l**2 - 194*l + 24 = 0.
-2, -4/3, 3/28
What is z in 10*z**5 + 606*z**4 - 5304*z**3 - 18376*z**2 + 8160*z = 0?
-68, -3, 0, 2/5, 10
Solve d**2/3 + 292*d - 1756/3 = 0 for d.
-878, 2
Let b**2/8 + 3347*b/8 - 57477/4 = 0. What is b?
-3381, 34
Determine t so that 192*t**5 + 2064*t**4 - 3516*t**3 + 219*t**2 + 894*t + 147 = 0.
-49/4, -1/4, 1
Factor -16*q**2 - 2820*q - 5576.
-4*(q + 2)*(4*q + 697)
Let -6*g**3/5 + 312*g**2 - 100674*g/5 = 0. Calculate g.
0, 119, 141
Factor 2*k**3/11 - 688554*k**2/11 + 5387543826*k + 5387606422.
2*(k - 172139)**2*(k + 1)/11
Factor -d**3/5 + 46*d**2/5 + 1784*d/5 + 6336/5.
-(d - 72)*(d + 4)*(d + 22)/5
Determine x so that -2*x**2/3 - 666*x - 239080/3 = 0.
-860, -139
Factor g**4/7 + 809*g**3/7 - 2460*g**2/7 - 2788*g - 3248.
(g - 7)*(g + 2)**2*(g + 812)/7
Solve -2*j**5/5 - 1166*j**4/5 - 60898*j**3/5 + 1166*j**2/5 + 12180*j = 0 for j.
-525, -58, -1, 0, 1
Factor 2*l**4 + 124*l**3 - 518*l**2 + 656*l - 264.
2*(l - 2)*(l - 1)**2*(l + 66)
Let -2*x**3 - 82536*x**2 - 330118*x - 247584 = 0. What is x?
-41264, -3, -1
Factor 2*d**2/5 + 384*d/5 + 5632/5.
2*(d + 16)*(d + 176)/5
Determine t, given that 9*t**3 - 1087383*t**2/5 + 72486*t/5 + 144984/5 = 0.
-1/3, 2/5, 24164
Factor 3*c**2/2 + 1032837*c - 2065677/2.
3*(c - 1)*(c + 688559)/2
Solve -u**5/3 + 512*u**4/3 - 839*u**3 - 9254*u**2/3 + 65056*u/3 - 27040 = 0 for u.
-5, 2, 4, 507
Solve -a**2/3 + 4028*a/3 + 8060/3 = 0.
-2, 4030
Factor 55*g**3 + 14015*g**2 - 2550*g.
5*g*(g + 255)*(11*g - 2)
Factor 2*k**4/13 - 802*k**3 + 10424*k**2/13.
2*k**2*(k - 5212)*(k - 1)/13
Determine o so that -2*o**3/9 - 212*o**2/9 - 7360*o/9 - 83200/9 = 0.
-40, -26
Find c, given that 2*c**2/7 - 31758*c/7 + 127000/7 = 0.
4, 15875
Factor 3*j**3/8 - 27*j**2/2 + 135*j/2.
3*j*(j - 30)*(j - 6)/8
Let -k**2 + 84*k - 83 = 0. Calculate k.
1, 83
Factor -r**3 + 184*r**2 - 723*r + 540.
-(r - 180)*(r - 3)*(r - 1)
Find b such that -4*b**5 - 1052*b**4 + 5372*b**3 + 3148*b**2 - 18184*b + 10720 = 0.
-268, -2, 1, 5
What is l in -3*l**2/4 + 5163*l/4 - 35847/2 = 0?
14, 1707
Determine c, given that 4*c**2 - 4348912*c + 1182064723984 = 0.
543614
Solve 2*t**3/19 + 4124*t**2/19 + 2121792*t/19 - 4260096/19 = 0 for t.
-1032, 2
Let -3*n**2/7 - 6549*n/7 - 26148/7 = 0. What is n?
-2179, -4
Let 2*k**3 + 170*k**2 + 3752*k + 6840 = 0. What is k?
-45, -38, -2
Determine c, given that c**2 - 4419*c + 8834 = 0.
2, 4417
Let -4*b**3/5 + 366*b**2/5 - 8438*b/5 + 4128/5 = 0. Calculate b.
1/2, 43, 48
Find j such that -j**4/6 + 44*j**3 - 253*j**2/2 - 3118*j/3 - 1218 = 0.
-2, 7, 261
Factor 2*t**2 - 3596*t - 3598.
2*(t - 1799)*(t + 1)
Suppose 245*n**5 + 186550*n**4 - 6526395*n**3 + 9916460*n**2 - 4085660*n + 508800 = 0. What is n?
-795, 2/7, 1, 32
Factor 5*m**2/3 - 330640*m/3 + 5466140480/3.
5*(m - 33064)**2/3
Factor 4*c**3 - 6504*c**2 - 52324*c + 58824.
4*(c - 1634)*(c - 1)*(c + 9)
Find g, given that -2*g**5/13 + 64*g**4/13 + 19590*g**3/13 + 668156*g**2/13 + 4307072*g/13 - 4994880/13 = 0.
-44, -10, 1, 129
Factor 5*g**2 + 10285650*g + 5289729796125.
5*(g + 1028565)**2
Factor -5*i**2 - 221870*i + 2219200.
-5*(i - 10)*(i + 44384)
Factor -f**3/3 - 113*f**2 + 4918*f/3 - 2824.
-(f - 12)*(f - 2)*(f + 353)/3
Factor -5*t**2 + 130340*t - 849425780.
-5*(t - 13034)**2
Let 2*o**4 - 35640*o**3 + 213786*o**2 - 320652*o = 0. What is o?
0, 3, 17814
Factor 5*j**4 + 330*j**3 - 4535*j**2 - 23100*j.
5*j*(j - 15)*(j + 4)*(j + 77)
Determine d so that 4*d**4 + 340*d**3 - 13504*d**2 - 1400560*d - 11289600 = 0.
-70, -9, 64
Factor -3*b**3 - 924*b**2 - 28668*b - 197280.
-3*(b + 10)*(b + 24)*(b + 274)
Suppose q**4/8 - 193*q**3/8 + 2699*q**2/2 - 17776*q + 58080 = 0. Calculate q.
5, 12, 88
What is a in -3*a**5 - 3006*a**4 - 749988*a**3 + 1512024*a**2 = 0?
-502, 0, 2
Factor 1849*g**2/5 - 526578*g/5 + 37491129/5.
(43*g - 6123)**2/5
Solve -r**3 + 37*r**2/3 - 98*r/3 + 24 = 0 for r.
4/3, 2, 9
Determine v, given that -4*v**3 + 3388*v**2 - 830060*v + 45653300 = 0.
77, 385
Solve 4*x**2 + 927504*x + 53766479376 = 0.
-115938
Find z such that 5*z**4/2 + 34*z**3 + 147*z**2/2 + 20*z - 22 = 0.
-11, -2, -1, 2/5
Factor 2*m**3 - 14768*m**2 + 27232168*m + 109165088.
2*(m - 3694)**2*(m + 4)
Suppose 2*k**5/11 - 54*k**4/11 - 306*k**3/11 - 442*k**2/11 - 192*k/11 = 0. What is k?
-3, -1, 0, 32
Suppose u**4 + 321050*u**3 + 1605233*u**2 + 2568364*u + 1284180 = 0. What is u?
-321045, -2, -1
Let h**2 + 58351*h - 116706 = 0. What is h?
-58353, 2
Suppose -4*f**4/17 + 78*f**3 - 14782*f**2/17 + 19860*f/17 - 6400/17 = 0. Calculate f.
1/2, 1, 10, 320
Let 2*h**4/17 - 598*h**3/17 + 11198*h**2/17 - 10602*h/17 = 0. What is h?
0, 1, 19, 279
Suppose -g**5 + 1047*g**4/8 + 2283*g**3/8 - 2923*g**2/8 - 399*g/8 = 0. Calculate g.
-3, -1/8, 0, 1, 133
Factor 5*s**2 - 7995*s - 8000.
5*(s - 1600)*(s + 1)
Find u, given that 22*u**3/9 - 63466*u**2/9 - 75032*u/9 - 3848/3 = 0.
-1, -2/11, 2886
Determine h so that 33*h**2/2 - 19*h/2 - 177 = 0.
-3, 118/33
Factor -h**3/2 + 627*h**2 - 36945*h/2 + 137700.
-(h - 1224)*(h - 15)**2/2
Find c, given that -5*c**3 - 495*c**2 - 4450*c = 0.
-89, -10, 0
Find l such that -3*l**3 + 5169*l**2 - 10326*l = 0.
0, 2, 1721
Factor g**3/3 - 3361*g**2/3 - 2242*g.
g*(g - 3363)*(g + 2)/3
Let j**5/3 - 76*j**4/3 - 15*j**3 + 3560*j**2/3 - 10736*j/3 + 2432 = 0. Calculate j.
-8, 1, 3, 4, 76
Factor 2*f**2/5 + 9434*f/5 - 9436/5.
2*(f - 1)*(f + 4718)/5
Solve -4*c**2 - 29696*c + 29700 = 0 for c.
-7425, 1
Solve 2*v**2 + 61206*v + 61204 = 0 for