termine w, given that 2*w**3/3 - 15070*w**2/3 + 28395646*w/3 - 28380578/3 = 0.
1, 3767
Factor 4*o**3 + 380*o**2 + 2512*o + 4224.
4*(o + 3)*(o + 4)*(o + 88)
Determine r, given that 100*r**5 + 115*r**4/2 - 1443*r**3/2 - 382*r**2 + 970*r - 24 = 0.
-2, 1/40, 1, 12/5
Suppose -2*r**4/5 - 226*r**3 + 5694*r**2/5 - 3438*r/5 - 2052 = 0. Calculate r.
-570, -1, 3
Solve -2*h**4/5 - 465638*h**3/15 - 620842*h**2/15 - 31042*h/3 = 0.
-77605, -1, -1/3, 0
Suppose -2*g**2 + 2582*g + 28644 = 0. Calculate g.
-11, 1302
Factor k**3/10 - 152*k**2/5 - 6077*k/10 - 1938.
(k - 323)*(k + 4)*(k + 15)/10
Let 4*a**3 - 180*a**2 + 2264*a - 8640 = 0. Calculate a.
8, 10, 27
Solve -2*r**5 - 3306*r**4 - 1371114*r**3 - 4024270*r**2 + 24634500*r + 54450000 = 0.
-825, -5, -2, 4
Factor 4*w**3/3 + 736*w**2/3 + 1456*w/3.
4*w*(w + 2)*(w + 182)/3
Find u, given that 18*u**5/7 + 69*u**4/7 - 909*u**3/7 - 399*u**2 - 2673*u/7 - 120 = 0.
-8, -1, -5/6, 7
Let 5*j**3 + 21440*j**2 - 344405*j - 365840 = 0. Calculate j.
-4304, -1, 17
Determine p so that 75*p**2/4 - 8245*p - 2200 = 0.
-4/15, 440
Factor -c**3/3 + 270298*c**2/3 + 540599*c/3 + 90100.
-(c - 270300)*(c + 1)**2/3
Let 2401*v**2/2 + 42336*v + 373248 = 0. Calculate v.
-864/49
Factor 2*p**3 + 3522*p**2 - 35370*p + 88550.
2*(p - 5)**2*(p + 1771)
Solve 3*c**2/2 - 6669*c/2 - 323082 = 0 for c.
-93, 2316
Determine r so that 2*r**2/11 + 600*r/11 - 11200 = 0.
-440, 140
Determine l, given that l**5/6 - l**4/6 = 0.
0, 1
Factor -2*w**2 + 13820*w - 41442.
-2*(w - 6907)*(w - 3)
Determine k, given that 4*k**5/5 - 968*k**4/5 + 24928*k**3/5 - 46968*k**2/5 + 23004*k/5 = 0.
0, 1, 27, 213
Determine p, given that -3*p**5 + 3948*p**4 + 19797*p**3 + 23778*p**2 = 0.
-3, -2, 0, 1321
Find l such that -4*l**4 - 5580*l**3 - 1931976*l**2 + 9833600*l + 11760000 = 0.
-700, -1, 6
Find y such that 3*y**5 - 14*y**4 - 20*y**3 + 130*y**2 - 63*y - 36 = 0.
-3, -1/3, 1, 3, 4
Solve -2*n**5 - 330*n**4 - 7886*n**3 + 482106*n**2 - 3308864*n - 14452224 = 0 for n.
-97, -3, 16
Suppose 8*a**4 + 1452*a**3 - 12832*a**2 + 16692*a - 5320 = 0. What is a?
-190, 1/2, 1, 7
Solve u**3/3 + 64*u**2/3 + 1063*u/3 + 1640 = 0 for u.
-41, -15, -8
Factor 3*z**3 - 303*z**2 + 2805*z - 6825.
3*(z - 91)*(z - 5)**2
Factor 2405*f**2/3 + 2333*f/3 - 24.
(f + 1)*(2405*f - 72)/3
Factor -2*m**2/9 + 204428*m/9 + 136288/3.
-2*(m - 102216)*(m + 2)/9
Suppose -q**4/8 - 55523*q**3/8 + 194351*q**2/4 - 55532*q - 111060 = 0. What is q?
-55530, -1, 4
Factor 3*r**2/4 + 267*r/4 - 4485/2.
3*(r - 26)*(r + 115)/4
Factor 2*m**4/3 - 544*m**3/3 + 11584*m**2 + 304640*m/3 + 627200/3.
2*(m - 140)**2*(m + 4)**2/3
Let -443*f**3/7 - 1770*f**2/7 - 252*f + 8/7 = 0. What is f?
-2, 2/443
Factor -4*b**3 - 704*b**2 - 2768*b - 2752.
-4*(b + 2)**2*(b + 172)
Find h such that 3*h**5/7 - 831*h**4/7 + 3243*h**3/7 + 8991*h**2/7 + 702*h = 0.
-1, 0, 6, 273
Determine m so that 5*m**5 + 940*m**4 + 18020*m**3 + 80890*m**2 - 18025*m - 81830 = 0.
-167, -14, -7, -1, 1
Find j, given that -2*j**3/9 - 634*j**2/9 - 13190*j/9 - 20650/3 = 0.
-295, -15, -7
Determine v, given that 2*v**5 - 109*v**4 + 1563*v**3 - 2105*v**2 - 53*v + 702 = 0.
-1/2, 1, 26, 27
Find o such that -2*o**4 + 456*o**3 + 29656*o**2 - 6343872*o - 387087488 = 0.
-74, 188
Solve -t**2 + 33201*t = 0 for t.
0, 33201
Suppose -17*p**5/2 - 3611*p**4 - 755463*p**3/2 + 1227293*p**2 - 983330*p + 137388 = 0. What is p?
-214, 3/17, 1, 2
Factor 5*h**2 + 7461610*h + 2783781189605.
5*(h + 746161)**2
Suppose 4*i**5 - 1780*i**4 - 29572*i**3 + 31348*i**2 = 0. Calculate i.
-17, 0, 1, 461
Let 2*w**2/7 + 10862*w/7 - 54360/7 = 0. Calculate w.
-5436, 5
Determine c, given that 10*c**3/7 - 1566*c**2/7 + 61686*c/7 - 36450/7 = 0.
3/5, 75, 81
Let -2*c**5/3 + 2630*c**4/3 + 2656*c**3/3 - 31592*c**2/3 + 10496*c/3 + 42112/3 = 0. Calculate c.
-4, -1, 2, 1316
Factor -3*c**4 - 2280*c**3 + 2289*c**2 + 4566*c.
-3*c*(c - 2)*(c + 1)*(c + 761)
What is f in 2*f**3/7 - 752*f**2/7 - 27302*f/7 - 236980/7 = 0?
-17, 410
What is t in 4*t**2 + 76500*t - 306064 = 0?
-19129, 4
Factor y**3/7 + 69877*y**2/7 - 139761*y/7 - 209637/7.
(y - 3)*(y + 1)*(y + 69879)/7
Find b such that -3*b**2/4 + 1707*b/4 - 16236 = 0.
41, 528
Find g such that -2*g**5 + 1162*g**4 - 6910*g**3 + 5750*g**2 = 0.
0, 1, 5, 575
Factor z**3/5 - 284*z**2/5 + 9963*z/5.
z*(z - 243)*(z - 41)/5
Suppose -2*f**4 + 786*f**3 - 7694*f**2 + 13038*f - 6128 = 0. What is f?
1, 8, 383
Find n, given that n**2/2 + 3115*n/2 + 118443 = 0.
-3037, -78
Factor 4*u**4 - 2328*u**3 + 13860*u**2 - 20752*u + 9216.
4*(u - 576)*(u - 4)*(u - 1)**2
Factor a**2 - 77672*a.
a*(a - 77672)
Let 4*m**3 - 1656*m**2 - 101088*m = 0. Calculate m.
-54, 0, 468
Solve -r**2 + 23858*r = 0 for r.
0, 23858
Find c, given that -4*c**3/7 + 44*c**2 - 624*c + 17280/7 = 0.
8, 9, 60
Factor -4*r**4 - 12552*r**3 + 37680*r**2 - 37688*r + 12564.
-4*(r - 1)**3*(r + 3141)
Determine d so that 5*d**5/4 - 1625*d**4/4 - 319545*d**3/4 - 12894355*d**2/4 - 3144110*d = 0.
-73, -1, 0, 472
Solve 4*p**4 + 148*p**3 + 892*p**2 - 1044*p = 0.
-29, -9, 0, 1
Suppose 10*y**4 - 796*y**3 - 16650*y**2 - 22052*y - 6208 = 0. What is y?
-16, -1, -2/5, 97
Factor -2*z**2/11 - 1838*z/11 - 5496/11.
-2*(z + 3)*(z + 916)/11
Factor 2*s**3 - 21889*s**2 + 59896512*s - 29942784.
(s - 5472)**2*(2*s - 1)
Factor 2*j**5 + 4400*j**4 + 8792*j**3.
2*j**3*(j + 2)*(j + 2198)
Determine g, given that -g**2/4 - 4889*g/4 - 4887/2 = 0.
-4887, -2
Factor -2*o**3/7 + 610*o**2/7 + 56750*o + 5731250.
-2*(o - 655)*(o + 175)**2/7
Suppose -c**3/3 + 25*c**2 - 118*c + 280/3 = 0. Calculate c.
1, 4, 70
Factor t**2 + 2011*t - 2012.
(t - 1)*(t + 2012)
Solve -2*x**3/15 + 276*x**2/5 + 2*x/15 - 276/5 = 0 for x.
-1, 1, 414
Suppose v**2 + 137846*v + 4750379929 = 0. Calculate v.
-68923
Solve -3*u**5 - 12*u**4 + 6*u**3 + 36*u**2 - 27*u = 0.
-3, 0, 1
What is j in j**2/2 + 333911*j/2 - 166956 = 0?
-333912, 1
Factor -2*n**2 - 375*n - 187.
-(n + 187)*(2*n + 1)
Solve -8*v**4/7 + 214*v**3/7 + 356*v**2/7 - 2176*v/7 + 192 = 0.
-4, 3/4, 2, 28
Factor z**4 - 5346*z**3 + 9778872*z**2 - 6545615968*z + 779354275200.
(z - 1732)**3*(z - 150)
Factor -2*y**3/7 + 646*y**2/7 - 62886*y/7 + 1630242/7.
-2*(y - 141)**2*(y - 41)/7
Factor 4*c**2/5 + 87002*c/5 - 43502/5.
2*(c + 21751)*(2*c - 1)/5
Factor u**4 - 28*u**3 - 165*u**2.
u**2*(u - 33)*(u + 5)
Determine r, given that 5*r**3 + 1130*r**2 + 14765*r - 15900 = 0.
-212, -15, 1
Find v such that 2*v**4/7 - 326*v**3/7 + 2788*v**2/7 - 352*v = 0.
0, 1, 8, 154
Suppose -5*l**3 + 3439*l**2 + 688*l = 0. Calculate l.
-1/5, 0, 688
Find j, given that 15*j**5 - 260*j**4 + 480*j**3 + 710*j**2 - 495*j - 450 = 0.
-1, -2/3, 1, 3, 15
What is i in 2958*i**5 - 11829*i**4 + 5904*i**3 + 11838*i**2 - 8862*i - 9 = 0?
-1, -1/986, 1, 3
Solve -3*r**3/4 - 3051*r**2/4 - 38358*r - 37596 = 0.
-964, -52, -1
Solve 650042*r**2/7 + 1300080*r/7 - 8/7 = 0.
-2, 2/325021
Determine n so that 3*n**4/2 + 99*n**3/2 - 14871*n**2/2 - 30375*n/2 + 22572 = 0.
-88, -3, 1, 57
Solve 9*w**4/8 - 3*w**3 - 495*w**2/4 - 348*w - 819/8 = 0 for w.
-7, -3, -1/3, 13
Determine d so that -2*d**3/9 + 2054*d**2 + 61694*d/3 - 203566/9 = 0.
-11, 1, 9253
Factor -3*v**3/8 - 1683*v**2/2 - 224595*v/2 - 3866100.
-3*(v + 70)**2*(v + 2104)/8
Factor -b**2 - 17216*b - 74097664.
-(b + 8608)**2
Factor -m**4 + 121*m**3 + 1958*m**2 - 9252*m + 9720.
-(m - 135)*(m - 2)**2*(m + 18)
Factor -3*z**2 - 287049*z + 287052.
-3*(z - 1)*(z + 95684)
Factor -3*u**2/4 + 1146*u + 44631.
-3*(u - 1566)*(u + 38)/4
Factor y**3/3 - 3594*y**2 - 17977*y - 43148/3.
(y - 10787)*(y + 1)*(y + 4)/3
Factor 65*h**5 - 21975*h**4 + 1690*h**3.
5*h**3*(h - 338)*(13*h - 1)
Solve 2*n**2/9 + 304*n/9 + 3680/3 = 0.
-92, -60
Solve -c**3/8 - 30993*c**2/8 - 15495*c/4 + 7748 = 0 for c.
-30992, -2, 1
Factor -3*a**3 - 609*a**2 - 8568*a - 20304.
-3*(a + 3)*(a + 12)*(a + 188)
Suppose 2*z**5 + 488*z**4 + 31178*z**3 + 169868*z**2 - 15232*z - 906304 = 0. Calculate z.
-119, -4, 2
Solve -45*j**4 + 692475*j**3 - 10656497765*j**2/4 + 887983775*j - 73997045 = 0.
1/6, 7694
Factor d**2 + 62330*d + 971257225.
(d + 31165)**2
Let -3*o**5/7 + 2*o**4/7 + 47*o**3/7 + 82*o**2/7 + 40*o/7 = 0. Calculate o.
-2, -4/3, -1, 0, 5
Find d such that -2*d**2 + 91312*d - 1042235168 = 0.
22828
Factor -4*d**3 - 16*d**2 + 244*d + 1120.
-4*(d - 8)*(d + 5)*(d + 7)
Factor m**4 - 1214*m**3 + 31991*m**2 + 68846*m.
m*(m - 1187)*(m - 29)*(m + 2