08*f = 0. Calculate f.
-1006, -9, 0, 1, 2
Solve 2*r**2 - 54374*r + 434864 = 0 for r.
8, 27179
Suppose -6*o**5 + 5152*o**4 + 67234*o**3/3 + 69016*o**2/3 + 6904*o = 0. Calculate o.
-3, -2/3, 0, 863
Solve -4*y**4 - 1024*y**3 + 61580*y**2 - 770904*y - 1796256 = 0.
-308, -2, 27
Determine v, given that 2*v**2/17 + 176*v/17 + 3710/17 = 0.
-53, -35
Find j, given that j**5/6 + 21*j**4 + 2329*j**3/6 + 714*j**2 + 1040*j/3 = 0.
-104, -20, -1, 0
Solve -21*l**2/5 - 1149*l/5 + 46332/5 = 0.
-572/7, 27
Factor -3*w**2 - 492966*w - 20251289763.
-3*(w + 82161)**2
Factor 3*x**2 - 9303*x + 27882.
3*(x - 3098)*(x - 3)
Factor f**2/6 + 731*f/6 + 20118.
(f + 252)*(f + 479)/6
Determine s, given that -5*s**3 - 820*s**2 - 11095*s + 11920 = 0.
-149, -16, 1
Solve -p**2/2 - 1487*p/2 - 2226 = 0.
-1484, -3
Suppose 3*p**5/8 - 5*p**4/8 - 121*p**3/4 - 10*p**2 = 0. What is p?
-8, -1/3, 0, 10
Determine w so that 1805*w**5 + 58330*w**4 + 74240*w**3 + 19110*w**2 + 1395*w = 0.
-31, -1, -3/19, 0
Suppose q**3/5 - 3349*q**2/5 - 490681*q/5 - 17598131/5 = 0. What is q?
-71, 3491
Factor -3*d**2 - 7218*d - 157344.
-3*(d + 22)*(d + 2384)
Factor -x**2/4 + 37601*x/2 - 75201/4.
-(x - 75201)*(x - 1)/4
Factor -2*a**2/3 - 1022*a/3 - 5280.
-2*(a + 16)*(a + 495)/3
Determine t, given that 145*t**5 + 685*t**4 + 525*t**3 - 925*t**2 - 670*t + 240 = 0.
-3, -2, -1, 8/29, 1
Determine n so that 2*n**4/9 - 472*n**3/9 + 1372*n**2/9 + 6088*n/9 - 2330/3 = 0.
-3, 1, 5, 233
Determine s so that -3*s**5/7 - 60*s**4/7 - 27*s**3 + 1032*s**2/7 - 780*s/7 = 0.
-13, -10, 0, 1, 2
Let 4*g**4/3 - 104*g**3 - 2004*g**2 + 157248*g + 3048192 = 0. What is g?
-24, 63
Determine f so that -f**5 + 20*f**4 - 117*f**3 + 86*f**2 + 608*f + 384 = 0.
-1, 6, 8
Factor -h**2/4 - 97*h/2 - 190.
-(h + 4)*(h + 190)/4
What is j in -2*j**2/17 - 11478*j/17 - 22948/17 = 0?
-5737, -2
Suppose -s**3/2 + 109*s/2 + 210 = 0. What is s?
-7, -5, 12
Suppose 214*v**5/7 + 917*v**4 + 48120*v**3/7 + 106775*v**2/7 - 500*v/7 = 0. Calculate v.
-20, -5, 0, 1/214
Suppose 5*h**2 + 13840*h + 13835 = 0. What is h?
-2767, -1
Determine d, given that 48*d**4 - 4179*d**3 - 26139*d**2 - 34062*d + 2232 = 0.
-4, -2, 1/16, 93
Factor 2*h**3/9 + 2354*h**2/9 + 300160*h/9 + 10162600/9.
2*(h + 70)**2*(h + 1037)/9
Find z such that -z**3/2 + 6383*z**2/2 - 5097620*z + 15264150 = 0.
3, 3190
Find b, given that b**4/3 + 328*b**3 + 983*b**2/3 = 0.
-983, -1, 0
Factor -k**2 - 248102*k - 15388650601.
-(k + 124051)**2
Factor j**2/7 - 57*j/7 - 1350/7.
(j - 75)*(j + 18)/7
Determine s, given that -5*s**3 - 135*s**2 + 1320*s - 2800 = 0.
-35, 4
Factor -4*h**4 - 20596*h**3 + 41204*h**2 - 20604*h.
-4*h*(h - 1)**2*(h + 5151)
Let -659*z**2/4 - 161*z + 15/4 = 0. Calculate z.
-1, 15/659
Factor 3*x**2 + 32727*x + 163560.
3*(x + 5)*(x + 10904)
Factor 2*g**3/15 + 34*g**2/5 + 92*g/3.
2*g*(g + 5)*(g + 46)/15
What is p in -3*p**4 + 7602*p**3 + 22827*p**2 + 15222*p = 0?
-2, -1, 0, 2537
Factor 9*v**4 + 2346*v**3 - 12803*v**2 - 9316*v - 1596.
(v - 6)*(v + 266)*(3*v + 1)**2
Suppose 4*k**4 + 4*k**3 - 1864*k**2 + 3680*k = 0. Calculate k.
-23, 0, 2, 20
Let 2*x**5 - 198*x**4 + 4232*x**3 - 25560*x**2 + 57632*x - 43776 = 0. What is x?
2, 4, 19, 72
Factor 2*j**3/7 - 28958*j**2 - 3243680*j/7 - 12975232/7.
2*(j - 101369)*(j + 8)**2/7
Solve n**3/9 - 278*n**2 + 13280*n/3 - 159104/9 = 0 for n.
8, 2486
Find q, given that -5*q**2 + 271045*q + 542110 = 0.
-2, 54211
Find c, given that 3*c**4 - 94551*c**3 - 378237*c**2 - 472809*c - 189126 = 0.
-2, -1, 31521
Let -p**3/5 - 5389*p**2/5 + 37772*p/5 = 0. Calculate p.
-5396, 0, 7
Factor q**3/6 - 21654*q**2 + 86615*q/2 - 64961/3.
(q - 129922)*(q - 1)**2/6
Let 4*c**2 - 2028*c + 19880 = 0. Calculate c.
10, 497
Factor -111*t**3 - 10995*t**2 - 22128*t - 1164.
-3*(t + 2)*(t + 97)*(37*t + 2)
Factor -2*y**2/5 - 201448*y - 1007238/5.
-2*(y + 1)*(y + 503619)/5
Suppose -3*l**3/4 - 106167*l**2 - 849327*l/4 - 212331/2 = 0. Calculate l.
-141554, -1
Solve 12*t**5 - 406*t**4 - 16760*t**3 - 124462*t**2 - 20280*t = 0 for t.
-13, -1/6, 0, 60
Let 2*y**5/5 - 642*y**4/5 + 66696*y**3/5 - 2800928*y**2/5 + 38223744*y/5 + 141732864/5 = 0. Calculate y.
-3, 52, 168
Factor -v**3 - 9*v**2 + 760*v + 768.
-(v - 24)*(v + 1)*(v + 32)
Factor 2*p**4/15 + 12*p**3/5 + 154*p**2/15.
2*p**2*(p + 7)*(p + 11)/15
Suppose -u**4 - 89*u**3 - 2573*u**2 - 24535*u - 22050 = 0. What is u?
-35, -18, -1
Let 16*u**4/5 + 4526*u**3/5 - 22918*u**2/5 + 32194*u/5 - 13818/5 = 0. Calculate u.
-2303/8, 1, 3
Factor -j**3 + 395*j**2 + 1601*j - 1995.
-(j - 399)*(j - 1)*(j + 5)
Determine n so that 47*n**3/2 + 6086*n**2 + 11867*n/2 - 129 = 0.
-258, -1, 1/47
Factor 5*d**4 + 415*d**3 - 2620*d**2 - 36960*d.
5*d*(d - 12)*(d + 7)*(d + 88)
Factor -5*o**3 - 53145*o**2 - 318715*o - 265575.
-5*(o + 1)*(o + 5)*(o + 10623)
Solve 2*c**5/3 - 220*c**4 + 60058*c**3/3 - 308088*c**2 + 1261728*c - 973440 = 0.
1, 5, 12, 156
Factor 4*l**4 - 1132*l**3 + 4480*l**2 - 4464*l.
4*l*(l - 279)*(l - 2)**2
Solve r**3/4 + 43245*r**2/4 - 32436*r = 0.
-43248, 0, 3
Factor -h**4/2 + 15*h**3 + 87*h**2/2 - 868*h.
-h*(h - 31)*(h - 7)*(h + 8)/2
Suppose 2*x**4 - 16356*x**3 + 33456194*x**2 - 66863328*x + 33423488 = 0. Calculate x.
1, 4088
Factor 2*i**4 + 514*i**3 + 32766*i**2 - 33282*i.
2*i*(i - 1)*(i + 129)**2
Suppose g**4 - 1360*g**3 + 8135*g**2 - 14900*g + 8124 = 0. What is g?
1, 2, 3, 1354
Factor 2*j**3/5 - 804*j**2/5 + 2358*j/5 + 14364/5.
2*(j - 399)*(j - 6)*(j + 3)/5
Determine q so that 6*q**5 + 1801*q**4 + 17844*q**3 + 44684*q**2 + 6960*q = 0.
-290, -6, -4, -1/6, 0
Let -60*w**5 - 16208*w**4 + 163920*w**3 - 513536*w**2 + 466176*w + 71680 = 0. What is w?
-280, -2/15, 2, 4
Let 5*o**3 + 50*o**2 - 755*o + 1900 = 0. Calculate o.
-19, 4, 5
Solve -4*b**3 + 1737*b**2 - 2159*b - 2598 = 0.
-3/4, 2, 433
Find u, given that 3*u**5/8 - 3*u**4/8 - 921*u**3/8 - 1257*u**2/8 + 12429*u/4 - 2835 = 0.
-15, -7, 1, 4, 18
Let -g**3/2 - 3*g**2 + 12*g + 32 = 0. Calculate g.
-8, -2, 4
Suppose -101306*l**4/11 + 63830994*l**3/11 - 5175042*l**2/11 + 139862*l/11 - 1260/11 = 0. Calculate l.
1/37, 630
Solve -3*k**5/4 - 3535*k**4/4 + 20155*k**3/4 + 31975*k**2/4 + 2072*k = 0.
-1184, -1, -1/3, 0, 7
Let 2*g**2 + 29056*g = 0. What is g?
-14528, 0
Factor -11552*j**4/5 + 41648*j**3/5 - 22034*j**2/5 + 3174*j/5.
-2*j*(j - 3)*(76*j - 23)**2/5
Find n, given that 25*n**5 - 1335*n**4 - 5485*n**3 + 20295*n**2 - 3240*n - 10260 = 0.
-6, -3/5, 1, 2, 57
Suppose 273806552055*o**4 + 184097556395*o**3 + 1042865475*o**2 + 1976625*o + 1250 = 0. Calculate o.
-2/3, -5/2633
Let -z**5/6 - 21*z**4/2 + z**3/2 + 187*z**2/6 - 21*z = 0. What is z?
-63, -2, 0, 1
Suppose f**5 - 4*f**4 - 80*f**3 + 528*f**2 - 720*f = 0. What is f?
-10, 0, 2, 6
Let -176*m**4 - 524*m**3 + 4436*m**2 + 6944*m - 31680 = 0. Calculate m.
-5, -4, 11/4, 36/11
Factor -594015*b**3 + 125345125*b**2 - 5038760*b/3 + 16880/3.
-5*(b - 211)*(597*b - 4)**2/3
Suppose 2*v**2/11 + 2362*v/11 + 95676/11 = 0. What is v?
-1139, -42
Let 5*k**3 - 4645*k**2 - 23350*k = 0. Calculate k.
-5, 0, 934
Let -g**2 + 6021*g = 0. Calculate g.
0, 6021
Determine y, given that -y**4 + 489*y**3 - 2424*y**2 + 1936*y = 0.
0, 1, 4, 484
Factor -b**2/6 + 334435*b - 335540307675/2.
-(b - 1003305)**2/6
Factor 2*l**2/5 - 46*l + 1120.
2*(l - 80)*(l - 35)/5
Find i such that 4*i**2 - 20020*i = 0.
0, 5005
Determine x, given that -22*x**2/5 + 22786*x/5 - 12396 = 0.
30/11, 1033
Factor t**3/7 - 3579*t**2/7 + 14304*t/7 - 14300/7.
(t - 3575)*(t - 2)**2/7
Suppose -2*f**4/9 - 644*f**3/9 - 2506*f**2/9 + 12056*f/9 - 2968/3 = 0. What is f?
-318, -7, 1, 2
Factor -h**3/3 + 2180*h**2/3 + 525952*h/3 + 30155776/3.
-(h - 2404)*(h + 112)**2/3
Determine h, given that -h**2 + 413832*h - 42814231056 = 0.
206916
Factor -16623948*t**3 + 45772353*t**2 - 155412*t + 132.
-3*(4*t - 11)*(1177*t - 2)**2
Factor 2*p**2 - 221124*p + 221122.
2*(p - 110561)*(p - 1)
Let 3*y**3 + 14718*y**2 + 18036900*y - 36132696 = 0. Calculate y.
-2454, 2
Determine j, given that -2*j**2/3 + 2140*j/3 - 1424 = 0.
2, 1068
Suppose 2*z**3 - 1042*z**2 + 16190*z - 15150 = 0. What is z?
1, 15, 505
Find k such that -3*k**4 - 219*k**3 - 1383*k**2 + 219*k + 1386 = 0.
-66, -7, -1, 1
Factor 3*g**4 - 1185*g**3 + 2346*g**2 + 4740*g - 9432.
3*(g - 393)*(g - 2)**2*(g + 2)
Determine u so that 3*u**2 + 70836*u - 425124 = 0.
-23618, 6
Factor -4*q**4 + 1548*q**3 - 23744*q**2.
-4*q**2*(q - 3