, 51
Let 722*b**4/11 + 1317004*b**3/11 + 138626*b**2/11 + 3648*b/11 = 0. Calculate b.
-1824, -1/19, 0
Factor 51*c**4 - 1203*c**3 - 1800*c**2.
3*c**2*(c - 25)*(17*c + 24)
Factor 50*p**3 + 123990*p**2 + 99168*p + 19832.
2*(p + 2479)*(5*p + 2)**2
Suppose -a**2/3 + 1118*a - 3353/3 = 0. What is a?
1, 3353
Determine c so that 2*c**2 + 202548*c - 405104 = 0.
-101276, 2
Solve 20*b**2 + 914*b - 276 = 0.
-46, 3/10
Suppose -3*p**4 - 321*p**3 + 657*p**2 + 321*p - 654 = 0. What is p?
-109, -1, 1, 2
Factor -38*i**3/9 - 18616*i**2/9 - 2278990*i/9 + 240100/9.
-2*(i + 245)**2*(19*i - 2)/9
Factor -3*f**2 - 535212*f - 23870990412.
-3*(f + 89202)**2
Determine h so that 3*h**2/7 - 221301*h/7 + 31614 = 0.
1, 73766
Determine a so that -25*a**3 - 175965*a**2 + 422440*a - 140820 = 0.
-7041, 2/5, 2
Factor -z**4/9 - 23234*z**3/3 - 1214661901*z**2/9 - 809704900*z/3 - 1214522500/9.
-(z + 1)**2*(z + 34850)**2/9
Let -2*w**3 + 79736*w**2 + 159486*w - 239220 = 0. What is w?
-3, 1, 39870
Determine g so that -5*g**3 + 675*g**2 + 5640*g + 11440 = 0.
-4, 143
Find s such that 2*s**3 - 5*s**2 - 977*s - 3700 = 0.
-37/2, -4, 25
Factor -5*c**4 - 7030*c**3 - 2478065*c**2 - 4935060*c - 2464020.
-5*(c + 1)**2*(c + 702)**2
Factor l**4 + 17463*l**3 + 17462*l**2.
l**2*(l + 1)*(l + 17462)
Determine a so that -5*a**3 - 650*a**2 - 16125*a - 112500 = 0.
-100, -15
Solve 22*x**2/3 - 15308*x/3 - 928 = 0 for x.
-2/11, 696
Determine b so that -3*b**4/4 - 74643*b**3/4 + 74661*b**2/4 + 373239*b/4 + 111969/2 = 0.
-24882, -1, 3
Suppose -2*s**5/17 + 94*s**4/17 + 660*s**3/17 - 1160*s**2/17 - 6128*s/17 + 10176/17 = 0. Calculate s.
-6, -4, 2, 53
Suppose 5*b**2 + 1285*b - 10600 = 0. Calculate b.
-265, 8
Factor -3*s**3 - 39058*s**2 - 52073*s - 13018.
-(s + 1)*(s + 13018)*(3*s + 1)
Suppose -13*d**5/6 - 2999*d**4 - 3113974*d**3/3 - 442876*d**2/3 + 4152000*d + 1915456/3 = 0. What is d?
-692, -2, -2/13, 2
Factor -t**3/2 - 3530*t**2 + 28272*t.
-t*(t - 8)*(t + 7068)/2
Factor r**2 + 2764*r + 27540.
(r + 10)*(r + 2754)
Let 5*j**2 + 710*j - 7600 = 0. Calculate j.
-152, 10
Determine z so that -z**3 + 62*z**2 - 395*z + 550 = 0.
2, 5, 55
Solve -4*p**3 - 55694*p**2 + 83548*p - 27850 = 0.
-13925, 1/2, 1
Let 6*o**2/7 - 170148*o/7 = 0. Calculate o.
0, 28358
Find g such that 9*g**5 + 18156*g**4 + 6024*g**3 - 54450*g**2 + 18159*g + 12102 = 0.
-2017, -2, -1/3, 1
Solve -2*m**3/9 + 232*m**2/9 - 1330*m/9 + 1100/9 = 0 for m.
1, 5, 110
Factor -4*w**2 - 7176*w - 389312.
-4*(w + 56)*(w + 1738)
Find h, given that -h**5 + 91*h**4 - 2042*h**3 + 11264*h**2 - 20832*h + 11520 = 0.
1, 2, 4, 24, 60
Determine m, given that -12*m**3 - 136144*m**2 - 386104380*m + 257463432 = 0.
-5673, 2/3
Determine u, given that -u**5 + 166*u**4 + 1200*u**3 + 1898*u**2 + 865*u = 0.
-5, -1, 0, 173
Suppose -7*c**3/2 - 19937*c**2/2 + 18526*c + 2850 = 0. Calculate c.
-2850, -1/7, 2
Factor -h**3/2 - 41729*h**2/2 - 435473375*h/2 - 3046269247/2.
-(h + 7)*(h + 20861)**2/2
Let -2*n**2/13 - 14010*n/13 + 2156 = 0. What is n?
-7007, 2
Let -48*v**2 - 23523*v - 1470 = 0. Calculate v.
-490, -1/16
Factor -o**3 + 1369*o**2 - 8183*o + 6815.
-(o - 1363)*(o - 5)*(o - 1)
Factor -3*s**2/5 - 2187*s - 21858/5.
-3*(s + 2)*(s + 3643)/5
Factor -5*x**3 + 2710*x**2 + 5440*x.
-5*x*(x - 544)*(x + 2)
Suppose -2*r**4/9 - 8*r**3/9 + 28*r**2/3 + 440*r/9 + 350/9 = 0. What is r?
-5, -1, 7
Find w, given that -w**3 + 85198*w**2 - 1814589600*w - 3629520000 = 0.
-2, 42600
Let -4*q**5/5 - 16*q**4 - 76*q**3 - 128*q**2 - 336*q/5 = 0. Calculate q.
-14, -3, -2, -1, 0
Factor 3*x**5 + 70161*x**4 + 410248905*x**3 + 410178747*x**2.
3*x**2*(x + 1)*(x + 11693)**2
Solve -111*y**2 - 91356*y - 2469 = 0 for y.
-823, -1/37
Determine q, given that 2*q**4 - 8098*q**3 - 8102*q**2 + 8098*q + 8100 = 0.
-1, 1, 4050
Suppose -4*a**2 - 71384*a - 318479716 = 0. Calculate a.
-8923
Factor -2*l**4 - 3292*l**3 - 3290*l**2.
-2*l**2*(l + 1)*(l + 1645)
Factor -3*y**2 - 143052*y - 1705322892.
-3*(y + 23842)**2
Factor 2*z**3/5 + 2016*z**2/5 + 1206*z.
2*z*(z + 3)*(z + 1005)/5
Factor 3*t**2/2 + 19488*t + 63297024.
3*(t + 6496)**2/2
Let -a**5/4 + 119*a**4/4 + 1263*a**3/4 + 3465*a**2/4 + 1161*a/2 = 0. Calculate a.
-6, -3, -1, 0, 129
Factor -2*d**2/17 - 756*d/17 + 11790/17.
-2*(d - 15)*(d + 393)/17
Let -y**3 + 300*y**2 - 893*y + 594 = 0. What is y?
1, 2, 297
What is r in 10*r**3/21 + 156536*r**2/21 + 204185558*r/7 - 81682572/7 = 0?
-7827, 2/5
Factor u**4 + 7*u**3 - 99*u**2 - 567*u + 1458.
(u - 9)*(u - 2)*(u + 9)**2
Factor -1000*p**2 + 43985*p + 660.
-5*(p - 44)*(200*p + 3)
Find q, given that q**2/7 - 17505*q/7 + 35006/7 = 0.
2, 17503
Solve -125*i**5 + 261650*i**4 - 834995*i**3 - 2099870*i**2 - 1212100*i - 209000 = 0 for i.
-1, -2/5, 5, 2090
Factor t**3 - 45*t**2 + 366*t - 560.
(t - 35)*(t - 8)*(t - 2)
Factor -y**2 - 5751*y - 11498.
-(y + 2)*(y + 5749)
Determine u, given that -2*u**2/13 + 8036*u/13 = 0.
0, 4018
Factor -q**4 - 4*q**3 + 272*q**2 - 960*q.
-q*(q - 12)*(q - 4)*(q + 20)
Solve 3*d**4/2 + 651*d**3/2 + 38625*d**2/2 + 350097*d/2 = 0 for d.
-103, -11, 0
Solve -15*f**4/4 - 17133*f**3/2 - 47919*f**2/4 + 13701*f + 6849 = 0.
-2283, -2, -2/5, 1
Factor 3*k**2 + 4830*k - 400293.
3*(k - 79)*(k + 1689)
Determine g so that -57*g**2 + 22350*g - 2352 = 0.
2/19, 392
Find u such that 9*u**4 - 141*u**3 - 219*u**2 + 249*u + 102 = 0.
-2, -1/3, 1, 17
Factor -3*x**2 + 219522*x - 4015825707.
-3*(x - 36587)**2
Factor -y**4 + 49*y**3 - 95*y**2 + 47*y.
-y*(y - 47)*(y - 1)**2
Factor -358*i**2 - 2868*i - 32.
-2*(i + 8)*(179*i + 2)
Factor 2*k**3/7 + 365*k**2/7 - 2858*k/7 - 1520/7.
(k - 8)*(k + 190)*(2*k + 1)/7
Let 3*k**2 + 73716*k + 73713 = 0. Calculate k.
-24571, -1
Factor 4*w**3 + 2072*w**2 + 2068*w.
4*w*(w + 1)*(w + 517)
Solve l**5/4 - 130379*l**4/2 - 521521*l**3/2 - 391142*l**2 - 1043047*l/4 - 130381/2 = 0 for l.
-1, 260762
Factor 106990*v**2 + 115194*v - 28.
2*(13*v + 14)*(4115*v - 1)
Suppose -6*y**3 + 6171*y**2 - 9243*y = 0. Calculate y.
0, 3/2, 1027
Factor -h**2/6 + 35242*h/3 + 23495/2.
-(h - 70485)*(h + 1)/6
Let 2*d**2/7 - 6404*d/7 + 5126402/7 = 0. Calculate d.
1601
Factor -9*s**3 - 1798*s**2 - 1391*s + 398.
-(s + 1)*(s + 199)*(9*s - 2)
Solve -3*q**2/2 + 772827*q - 199087190643/2 = 0 for q.
257609
Factor -l**3 + 5343*l**2 - 37352*l.
-l*(l - 5336)*(l - 7)
Solve o**2/8 - 29533*o/8 + 29525 = 0 for o.
8, 29525
Factor -6*u**2/5 + 584*u/5 - 194/5.
-2*(u - 97)*(3*u - 1)/5
Determine v, given that 5*v**2 - 27570*v - 27575 = 0.
-1, 5515
Factor 4*c**4 - 2060*c**3 - 68992*c**2 - 560128*c.
4*c*(c - 547)*(c + 16)**2
Find g, given that 5*g**2 - 365110*g + 1095285 = 0.
3, 73019
Factor -3*h**2/7 + 261*h/7 + 6042/7.
-3*(h - 106)*(h + 19)/7
Factor -5*p**3 - 7045*p**2 + 28245*p - 21195.
-5*(p - 3)*(p - 1)*(p + 1413)
Find t such that -203841125*t**5 - 407746100*t**4 + 203713420*t**3 + 407746090*t**2 + 127705*t + 10 = 0.
-2, -1, -1/6385, 1
Let 5*w**2 + 644975*w = 0. Calculate w.
-128995, 0
Solve -2*h**5 + 7*h**4 + 9*h**3 - 61*h**2 + 77*h - 30 = 0 for h.
-3, 1, 2, 5/2
Find l such that -2*l**5/11 + 2*l**4/11 + 228*l**3/11 + 432*l**2/11 = 0.
-9, -2, 0, 12
Find y such that -2*y**3/9 - 1118*y**2/9 - 368*y/3 + 744 = 0.
-558, -3, 2
Factor -5*u**2 + 44375*u + 88770.
-5*(u - 8877)*(u + 2)
Factor -2*p**2/9 + 7820*p/9 + 15664/3.
-2*(p - 3916)*(p + 6)/9
Factor g**2 + 23922*g + 143065521.
(g + 11961)**2
Factor -108*y**3 - 2897*y**2 - 214*y.
-y*(4*y + 107)*(27*y + 2)
Factor 2*n**4 - 80*n**3 + 552*n**2 + 1440*n.
2*n*(n - 30)*(n - 12)*(n + 2)
Find o such that -3*o**4 + 78*o**3 + 1245*o**2 - 11076*o + 20160 = 0.
-16, 3, 4, 35
Factor -2*p**3/7 - 4*p**2/7 + 438*p/7 - 1224/7.
-2*(p - 12)*(p - 3)*(p + 17)/7
Let -2*h**5/7 + 1464*h**4/7 - 264938*h**3/7 - 1099596*h**2/7 + 426880*h - 1625088/7 = 0. What is h?
-6, 1, 368
Suppose -2*t**4 - 38*t**3 + 828*t**2 - 3168*t = 0. What is t?
-33, 0, 6, 8
Determine s, given that 2*s**3/17 - 3932*s**2/17 + 1928640*s/17 + 3873024/17 = 0.
-2, 984
Factor -3*l**2 + 2346*l - 105696.
-3*(l - 734)*(l - 48)
Let 2*f**5/7 - 60*f**4/7 + 354*f**3/7 - 760*f**2/7 + 552*f/7 = 0. What is f?
0, 2, 3, 23
Factor 9*t**3 + 73743*t**2 + 196596*t + 98292.
3*(t + 2)*(t + 8191)*(3*t + 2)
Factor 4*i**3 - 893480*i**2 + 49892369892*i + 199583775504.
4*(i - 111687)**2*(i + 4)
Factor -2*j**2/7 - 122488*j/7 - 244968/7.
-2*(j + 2)*(j + 61242)/7
Factor 5*g**2 + 135*g - 6500.
5*(g - 25)*(g +