**2 + 86800*g - 784000 = 0.
-140, 8
Determine o so that -o**5/3 + 200*o**4/3 + 67*o**3 = 0.
-1, 0, 201
Suppose m**3/7 - 39*m**2/7 + 356*m/7 + 396/7 = 0. What is m?
-1, 18, 22
Solve -2*p**3 - 5812*p**2 - 4085568*p + 200428992 = 0 for p.
-1476, 46
Factor 2*c**3/15 - 1006*c**2/15 + 28768*c/3 - 1399424/5.
2*(c - 232)**2*(c - 39)/15
Suppose 4704561*f**2/11 + 17352*f + 176 = 0. What is f?
-44/2169
Solve 3*b**5 - 1461*b**4 + 178590*b**3 - 169866*b**2 - 881361*b - 531441 = 0.
-1, 3, 243
Suppose 2*g**4/9 - 8510*g**3/9 - 222172*g**2/9 - 209160*g - 570800 = 0. What is g?
-10, -6, 4281
Solve -10*q**4 + 19956*q**3 - 9991890*q**2 + 35748432*q - 17856288 = 0 for q.
3/5, 3, 996
Suppose 3*f**4 + 294264*f**3 + 7215647538*f**2 - 14432177880*f + 7216236075 = 0. Calculate f.
-49045, 1
Find x such that -x**3/6 - 425*x**2/2 - 1692*x - 10136/3 = 0.
-1267, -4
Factor u**3/6 - 869*u**2/6 + 1285*u/3 + 12124/3.
(u - 866)*(u - 7)*(u + 4)/6
Find g, given that 5*g**3 - 6820*g**2 + 13580*g + 54480 = 0.
-2, 4, 1362
Factor -1050*s**2/11 - 764*s - 32/11.
-2*(s + 8)*(525*s + 2)/11
Factor 15*a**3 - 117635*a**2 - 196090*a - 78440.
5*(a - 7844)*(a + 1)*(3*a + 2)
Solve 4*i**5 - 1904*i**4 + 269328*i**3 - 4981016*i**2 - 940129748*i + 2858099784 = 0.
-46, 3, 173
Determine k, given that -16*k**4/3 + 6196*k**3 - 5396326*k**2/3 - 450856*k + 675122/3 = 0.
-1/2, 1/4, 581
Factor 4*m**3 - 92016*m**2 + 529643796*m - 5287240360.
4*(m - 11497)**2*(m - 10)
Find a, given that 3*a**5 + 156*a**4 + 2436*a**3 + 11472*a**2 - 9792*a - 48384 = 0.
-28, -12, -2, 2
Let 4*a**4 + 880*a**3 + 17508*a**2 + 16632*a = 0. Calculate a.
-198, -21, -1, 0
Factor 2*p**2 + 218*p + 4640.
2*(p + 29)*(p + 80)
Factor -4*v**2 + 44800*v - 223900.
-4*(v - 11195)*(v - 5)
Factor 3*q**3/5 + 737*q**2 + 1228*q/5.
q*(q + 1228)*(3*q + 1)/5
Factor -x**4 - 247*x**3 - 18423*x**2 - 229709*x + 14099380.
-(x - 20)*(x + 89)**3
Factor 16*a**3 - 4272376*a**2 - 2136191*a - 267024.
(a - 267024)*(4*a + 1)**2
Solve -2*n**3/9 - 8*n**2/9 + 46*n + 260 = 0.
-13, -6, 15
Factor 4*l**2 - 5140*l + 25600.
4*(l - 1280)*(l - 5)
Suppose -49*g**5/5 - 105*g**4 + 22154*g**3/5 + 16194*g**2/5 - 5977*g/5 + 459/5 = 0. What is g?
-27, -1, 1/7, 17
Let v**5 + 59*v**4 + 462*v**3 + 520*v**2 - 4192*v - 9600 = 0. What is v?
-50, -4, 3
Let 3*b**4 + 1635*b**3 + 1614*b**2 - 9792*b = 0. What is b?
-544, -3, 0, 2
Factor 4*p**3/9 + 128*p**2/9 + 1124*p/9 + 1768/9.
4*(p + 2)*(p + 13)*(p + 17)/9
Suppose -2*g**4 - 23302*g**3 - 67884510*g**2 - 67395250*g + 1357225000 = 0. What is g?
-5825, -5, 4
What is c in -3*c**3 + 966*c**2 - 40101*c + 364650 = 0?
13, 34, 275
Let 5*g**5 - 1960*g**4 + 44910*g**3 + 355240*g**2 - 398195*g = 0. Calculate g.
-7, 0, 1, 31, 367
Factor p**3 + 18271*p**2 - 91374*p + 109656.
(p - 3)*(p - 2)*(p + 18276)
Factor z**3/6 + 6839*z**2/3 - 27374*z + 82140.
(z - 6)**2*(z + 13690)/6
Find f such that -145*f**3 - 970*f**2 - 2140*f - 1560 = 0.
-78/29, -2
Let -z**3 - 131*z**2 - 4712*z - 26908 = 0. What is z?
-62, -7
What is s in -3*s**3/5 - 2178*s**2/5 - 335232*s/5 - 14764032/5 = 0?
-534, -96
Determine p so that 5*p**4 - 18750*p**3 + 14497085*p**2 + 5776950000*p + 474640374080 = 0.
-152, 2027
Let 2*v**3 - 76556*v**2 + 732602642*v = 0. What is v?
0, 19139
Solve 14*f**4 + 216*f**3 - 8652*f**2 + 70168*f - 174930 = 0 for f.
-255/7, 7
Factor -2*u**2/17 + 399620*u/17 - 399618/17.
-2*(u - 199809)*(u - 1)/17
Factor 5*v**2 - 1236910*v + 76497317405.
5*(v - 123691)**2
Let 30583*y**4/4 - 124097*y**3/4 + 3529*y**2/2 + 2*y = 0. Calculate y.
-2/1799, 0, 1/17, 4
Factor -70*u**2/17 - 122*u - 3192/17.
-2*(u + 28)*(35*u + 57)/17
Suppose 2*i**5/3 - 10*i**4/3 - 362*i**3/3 - 854*i**2/3 + 408*i = 0. What is i?
-9, -4, 0, 1, 17
Factor 2*g**3/17 + 4542*g**2/17 + 2590038*g/17 + 12836890/17.
2*(g + 5)*(g + 1133)**2/17
Factor -5*b**4 + 705*b**3 + 256680*b**2 + 13754000*b.
-5*b*(b - 325)*(b + 92)**2
Determine i so that -20*i**3 + 46636*i**2 + 9344*i - 37312 = 0.
-1, 4/5, 2332
What is a in -2*a**2 + 456088*a - 912168 = 0?
2, 228042
Determine w, given that -5*w**3 + 19445*w**2 - 116455*w - 135905 = 0.
-1, 7, 3883
Factor 12*o**3 - 3920*o**2 - 1316*o + 2616.
4*(o - 327)*(o + 1)*(3*o - 2)
Find x such that 5*x**5/6 - 2633*x**4/2 - 47509*x**3/6 - 34339*x**2/2 - 47564*x/3 - 5286 = 0.
-2, -1, 7929/5
Factor -5*b**2/4 + 102585*b/4 - 307665/2.
-5*(b - 20511)*(b - 6)/4
Suppose 2*z**2/5 - 15252*z/5 - 15254/5 = 0. Calculate z.
-1, 7627
Factor -w**2/7 + 132*w/7 - 1955/7.
-(w - 115)*(w - 17)/7
Factor -2*g**2/13 + 6244*g/13 - 62240/13.
-2*(g - 3112)*(g - 10)/13
Suppose -2*u**3 - 162456*u**2 - 1624410*u - 4060900 = 0. What is u?
-81218, -5
Find u such that -2*u**2/17 + 1724508*u/17 - 371740980258/17 = 0.
431127
Factor -2*t**2 + 87346*t + 349416.
-2*(t - 43677)*(t + 4)
Solve k**3 + 2504*k**2 + 1559965*k - 9450150 = 0.
-1255, 6
Let -8*m**3/11 + 1198*m**2/11 + 38532*m/11 + 9558/11 = 0. What is m?
-27, -1/4, 177
Find c such that -15*c**3/4 + 651*c**2/4 - 1659*c + 2697 = 0.
2, 62/5, 29
Solve -q**4 + 12101*q**3 - 36614598*q**2 + 36578300*q + 73205000 = 0.
-1, 2, 6050
Let -2*f**5/5 - 6854*f**4/5 + 89344*f**3/5 - 330168*f**2/5 + 49536*f = 0. Calculate f.
-3440, 0, 1, 6
Suppose -3*h**3 + 270*h**2 + 3591*h + 8262 = 0. What is h?
-9, -3, 102
Solve -7755*q**3 + 62542*q**2 - 23661*q - 46 = 0 for q.
-1/517, 2/5, 23/3
Factor -5*o**4 + 780*o**3 + 3225*o**2 - 4000*o.
-5*o*(o - 160)*(o - 1)*(o + 5)
Factor -5*w**5 + 55690*w**4 - 155124485*w**3 + 310081920*w**2 - 155013120*w.
-5*w*(w - 5568)**2*(w - 1)**2
Let -3*f**5/4 - 14895*f**4/4 - 18510741*f**3/4 - 55398249*f**2/4 = 0. Calculate f.
-2481, -3, 0
Let -5*k**4 + 4960*k**3 - 1244625*k**2 + 7094270*k + 48609800 = 0. Calculate k.
-4, 10, 493
Solve -n**5 - 65*n**4 - 1357*n**3 - 8551*n**2 + 12958*n + 20216 = 0.
-28, -19, -1, 2
Suppose 4*y**4 - 7640*y**3 + 3693652*y**2 - 43502160*y + 129686544 = 0. Calculate y.
6, 949
Factor d**2/2 - 171*d/2 - 2786.
(d - 199)*(d + 28)/2
Factor -20*q**2 + 1432*q/7 + 1572/7.
-4*(q + 1)*(35*q - 393)/7
Factor 5*h**3 - 6160*h**2 - 240775*h - 666750.
5*(h - 1270)*(h + 3)*(h + 35)
Factor -b**3/8 + 457*b**2/8 + 2157*b - 2214.
-(b - 492)*(b - 1)*(b + 36)/8
Determine p, given that p**5 - 14*p**4/5 - 117*p**3/5 + 22*p**2 + 112*p/5 - 96/5 = 0.
-4, -1, 4/5, 1, 6
Factor 5*r**4 + 7875*r**3 + 47110*r**2 + 62760*r.
5*r*(r + 2)*(r + 4)*(r + 1569)
Factor 38*z**2/21 + 530*z/3 + 776/7.
2*(z + 97)*(19*z + 12)/21
Let l**2 + 187664*l + 8804444224 = 0. What is l?
-93832
Let -103266*w**2/7 + 103265*w/7 + 1/7 = 0. Calculate w.
-1/103266, 1
Suppose -32*p**5 - 2544*p**4 - 25186*p**3 - 10864*p**2 + 10314*p - 1496 = 0. What is p?
-68, -11, -1, 1/4
Let -s**4/2 - 175*s**3/2 + 16048*s**2 - 548760*s + 532800 = 0. What is s?
-296, 1, 60
Determine h so that -h**2 - 1090*h + 12111 = 0.
-1101, 11
What is w in -15*w**4 + 573*w**3 + 5301*w**2 + 3747*w - 966 = 0?
-7, -1, 1/5, 46
Find c such that -5*c**3 + 49770*c**2 - 546865*c = 0.
0, 11, 9943
Let 52*l**5 + 13928*l**4 - 72812*l**3 + 96048*l**2 - 13104*l = 0. Calculate l.
-273, 0, 2/13, 2, 3
Find u, given that 3*u**2/8 - 35979*u/2 + 431496147/2 = 0.
23986
Factor f**4/2 + 21712*f**3 + 235727183*f**2 + 471389232*f + 471367521/2.
(f + 1)**2*(f + 21711)**2/2
Suppose 2*v**4 + 130*v**3 - 12096*v**2 + 129384*v - 371520 = 0. What is v?
-120, 6, 43
Factor l**4/6 - 1301*l**3/6 + 419879*l**2/6 + 2132045*l/6.
l*(l - 653)**2*(l + 5)/6
Find d such that 3*d**4 - 96*d**3 - 2151*d**2 - 7236*d - 5184 = 0.
-12, -3, -1, 48
What is w in -w**2/2 - 22485*w/2 + 101223 = 0?
-22494, 9
Determine a, given that 50*a**2 + 3045*a + 39690 = 0.
-42, -189/10
Factor -4*d**2 - 3416*d + 13728.
-4*(d - 4)*(d + 858)
Solve -2*t**3 - 22550*t**2 - 90176*t - 90168 = 0 for t.
-11271, -2
Factor -k**3/8 - 10237*k**2/8 - 61391*k/8 - 51155/8.
-(k + 1)*(k + 5)*(k + 10231)/8
Let -2*x**5 + 98*x**4 + 1342*x**3 - 8914*x**2 - 38780*x + 46256 = 0. Calculate x.
-14, -4, 1, 7, 59
Determine q, given that 14*q**4/19 + 88*q**3/19 - 2552*q**2/19 - 6112*q/19 - 1536/19 = 0.
-16, -2, -2/7, 12
Factor -185*k**3 + 545*k**2 + 205*k - 525.
-5*(k - 3)*(k + 1)*(37*k - 35)
What is j in 2*j**5/15 - 38*j**4/5 - 5764*j**3/3 - 5684*j**2 + 9606*j/5 + 28458/5 = 0?
-93, -3, -1, 1, 153
Solve 3*c**5 - 75*c**4 - 1338*c**3 - 5364*c**2 - 4104*c = 0 for c.
-6, -1, 0, 38
Solve -26*g**2/9 + 7874*g/9 + 404/3 = 0 for g.
-2/13, 303
Le