15*l**3 - 791775*l**2 + 5740875*l.
-5*l*(l - 7)*(l + 405)**2
Determine y so that y**5/7 + 34*y**4/7 - 2061*y**3/7 + 23594*y**2/7 - 8128*y + 35328/7 = 0.
-69, 1, 2, 16
Solve -2*l**5/11 - 10052*l**4/11 - 20098*l**3/11 - 10048*l**2/11 = 0.
-5024, -1, 0
Suppose -4*n**3 - 15444*n**2 + 1616500*n - 1601052 = 0. Calculate n.
-3963, 1, 101
Let -147*x**3/8 - 576135*x**2/8 - 164601*x/8 - 11757/8 = 0. What is x?
-3919, -1/7
Suppose -3*m**5/7 + 171*m**4/7 - 2634*m**3/7 + 6906*m**2/7 - 6579*m/7 + 2139/7 = 0. What is m?
1, 23, 31
Factor -4*b**4/7 - 396*b**3/7 - 1248*b**2 + 54080*b/7.
-4*b*(b - 5)*(b + 52)**2/7
Determine v, given that v**2/4 + 261*v + 31403/4 = 0.
-1013, -31
Suppose 5*r**2 + 185*r + 1500 = 0. Calculate r.
-25, -12
Factor -k**2/5 - 259*k/5 - 3198/5.
-(k + 13)*(k + 246)/5
Factor -2*z**3 + 440*z**2 - 22742*z.
-2*z*(z - 137)*(z - 83)
Suppose -84*m**5 + 42381*m**4 - 64917*m**3 + 15090*m**2 = 0. Calculate m.
0, 2/7, 5/4, 503
Solve -q**3 + 12386*q**2 - 38353249*q = 0.
0, 6193
Suppose t**2/4 + 9179*t/4 + 9177/2 = 0. Calculate t.
-9177, -2
Determine j so that j**3/7 + 235*j**2/7 - 248*j/7 - 2832/7 = 0.
-236, -3, 4
Factor -2*y**2/19 + 302*y/19 + 7612/19.
-2*(y - 173)*(y + 22)/19
Factor -3*o**2/5 - 3430464*o/5 - 980673604608/5.
-3*(o + 571744)**2/5
What is n in -3*n**3/4 + 330*n**2 + 6693*n/4 - 4005/2 = 0?
-6, 1, 445
What is p in 92*p**4 - 2860*p**3 - 10056*p**2 + 32176*p - 2720 = 0?
-5, 2/23, 2, 34
Find p, given that 4*p**4 - 84*p**3 - 3932*p**2 + 80724*p + 84568 = 0.
-31, -1, 22, 31
Factor -j**3/2 + 785*j**2.
-j**2*(j - 1570)/2
Factor -5*v**3 + 1280*v**2 - 28380*v + 125280.
-5*(v - 232)*(v - 18)*(v - 6)
Factor -y**2 - 82630*y - 1706929225.
-(y + 41315)**2
Factor -r**2/9 - 3973*r/9.
-r*(r + 3973)/9
Suppose m**3 + 4834*m**2/5 + 9653*m/5 + 4824/5 = 0. What is m?
-4824/5, -1
Find s such that -3*s**3/2 - 213*s**2/2 - 300*s + 408 = 0.
-68, -4, 1
Suppose 9*m**5 - 87*m**4/2 - 483*m**3/4 - 837*m**2/8 - 309*m/8 - 21/4 = 0. Calculate m.
-2/3, -1/2, 7
Find x, given that x**4 + 1554*x**3 - 3112*x**2 = 0.
-1556, 0, 2
Factor 2*k**3/3 - 598*k**2/3.
2*k**2*(k - 299)/3
Factor 2*l**2/13 - 1962*l/13 - 9860/13.
2*(l - 986)*(l + 5)/13
Factor -4*m**3 - 118212*m**2 + 118224*m + 236432.
-4*(m - 2)*(m + 1)*(m + 29554)
Factor -2*t**4/5 - 1450*t**3 - 43452*t**2/5 - 86872*t/5 - 57904/5.
-2*(t + 2)**3*(t + 3619)/5
Factor -1369*k**5/4 - 6623*k**4/4 - 2176*k**3 - 867*k**2.
-k**2*(k + 3)*(37*k + 34)**2/4
Factor d**2/2 + 899187*d + 808537260969/2.
(d + 899187)**2/2
Let 3*d**2/4 - 7785*d/4 + 7773 = 0. What is d?
4, 2591
Factor 159913803*r**2 - 219030*r + 75.
3*(7301*r - 5)**2
Determine t so that t**2/2 + 67*t + 3333/2 = 0.
-101, -33
Let 4*x**2 + 5508544*x + 1896503562496 = 0. What is x?
-688568
Find t, given that 2*t**4/11 - 382*t**3/11 + 3958*t**2/11 + 382*t/11 - 360 = 0.
-1, 1, 11, 180
Factor 3*m**4 + 165*m**3 - 5382*m**2.
3*m**2*(m - 23)*(m + 78)
Factor -2*c**2 - 124778*c + 374352.
-2*(c - 3)*(c + 62392)
Factor 22*s**2/25 + 1008*s/25 - 184/25.
2*(s + 46)*(11*s - 2)/25
Solve 3*d**2 - 98118*d + 802261827 = 0 for d.
16353
Suppose 20*t**5 + 18008*t**4 + 4057180*t**3 + 1601992*t**2 - 4057200*t - 1620000 = 0. What is t?
-450, -1, -2/5, 1
Factor 3*b**4 - 24*b**3 - 3465*b**2/4 - 15525*b/4.
3*b*(b - 23)*(2*b + 15)**2/4
Suppose 5*v**2 + 990*v - 135315 = 0. Calculate v.
-291, 93
Find p, given that -2*p**2 + 53*p - 120 = 0.
5/2, 24
Suppose 2*v**3 - 44576*v**2 + 248422042*v - 496665796 = 0. What is v?
2, 11143
Factor -l**3 + 24334*l**2 + 97349*l + 73014.
-(l - 24338)*(l + 1)*(l + 3)
Factor 4*f**3 + 740*f**2 + 10200*f.
4*f*(f + 15)*(f + 170)
Determine s, given that -2*s**4/5 + 414*s**3/5 + 2648*s**2 + 105336*s/5 + 92512/5 = 0.
-14, -1, 236
Find d, given that d**3 + 120*d**2 - 5292*d - 729904 = 0.
-98, 76
Suppose 5*y**2 + 1830*y - 9275 = 0. What is y?
-371, 5
Suppose 9*y**5/2 - 389*y**4/2 + 205*y**3 + 1098*y**2 - 252*y = 0. What is y?
-2, 0, 2/9, 3, 42
Factor -g**4/3 - 86*g**3/3 + 380*g**2 - 1176*g.
-g*(g - 6)**2*(g + 98)/3
Determine t, given that -5*t**2 - 6110*t - 276125 = 0.
-1175, -47
Solve z**4/2 + 15904*z**3 + 168619509*z**2 + 595845127700*z - 1192027526227/2 = 0 for z.
-10603, 1
Factor 2*q**3 - 1048*q**2 - 4224*q.
2*q*(q - 528)*(q + 4)
Factor -5*q**2 + 7215*q + 228470.
-5*(q - 1474)*(q + 31)
Let -4*n**2 + 427464*n - 11420341956 = 0. What is n?
53433
Solve -2*c**4 + 492*c**3 - 32568*c**2 + 278480*c = 0.
0, 10, 118
Factor 5*i**2 + 8012620*i + 3210103963220.
5*(i + 801262)**2
Suppose 3*d**2 - 1606*d + 4791 = 0. What is d?
3, 1597/3
Factor 5*h**2 - 1317650*h + 86810076125.
5*(h - 131765)**2
Solve 5*r**3/4 - 155*r**2/4 + 295*r/4 - 145/4 = 0 for r.
1, 29
Suppose -2*o**2/11 + 172640*o/11 - 172638/11 = 0. Calculate o.
1, 86319
Factor 3*m**4/7 + 38142*m**3 + 848640429*m**2.
3*m**2*(m + 44499)**2/7
Solve -v**3/5 + 5436*v**2/5 + 59929*v/5 - 65364/5 = 0 for v.
-12, 1, 5447
Factor -3*t**4/4 + 2217*t**3/4 + 48321*t**2/2 + 342363*t + 1607298.
-3*(t - 781)*(t + 14)**3/4
Find m, given that -5*m**3 - 245365*m**2 - 490715*m - 245355 = 0.
-49071, -1
Factor -4*u**2 + 7500*u + 30064.
-4*(u - 1879)*(u + 4)
Let -3*b**4/2 - 231*b**3/2 - 1257*b**2/2 + 1491*b/2 = 0. What is b?
-71, -7, 0, 1
Factor -p**2/5 - 4606*p/5 + 13827/5.
-(p - 3)*(p + 4609)/5
Factor -2*t**3/9 - 50*t**2/3 + 6848*t/9.
-2*t*(t - 32)*(t + 107)/9
Factor -3*v**2/8 - 44223*v/8 + 22113/4.
-3*(v - 1)*(v + 14742)/8
Factor -4*y**3 + 108*y**2 - 848*y + 1920.
-4*(y - 15)*(y - 8)*(y - 4)
What is u in -39*u**4 + 2346*u**3 - 321*u**2 - 2346*u + 360 = 0?
-1, 2/13, 1, 60
What is r in -2*r**2 - 926*r - 101024 = 0?
-287, -176
Solve q**5/6 + 153*q**4/2 + 911*q**3/6 - 1379*q**2/6 - 610*q - 914/3 = 0.
-457, -2, -1, 2
Suppose r**4 + 8*r**3 - 2938*r**2 + 39928*r + 423801 = 0. What is r?
-63, -7, 31
Factor -j**2/3 - 1318*j/3 - 2624.
-(j + 6)*(j + 1312)/3
Find f, given that 4*f**5 + 362*f**4 + 1552*f**3 + 326*f**2 - 1556*f - 688 = 0.
-86, -4, -1, -1/2, 1
Factor 3*s**4/4 - 273*s**3/2 - 8829*s**2 - 167670*s - 1032264.
3*(s - 236)*(s + 18)**3/4
Solve -3*d**3/5 + 13104*d**2/5 + 13107*d/5 = 0 for d.
-1, 0, 4369
Factor -2*w**2/7 + 1010*w/7.
-2*w*(w - 505)/7
Suppose -2*l**2 - 364*l - 12330 = 0. What is l?
-137, -45
Solve 2*y**5/5 - 16*y**4/5 - 2*y**3/5 + 184*y**2/5 - 24*y - 288/5 = 0 for y.
-3, -1, 2, 4, 6
Factor 2*c**2/13 + 404*c/13 + 10320/13.
2*(c + 30)*(c + 172)/13
Determine a so that 3*a**3/7 - 54*a**2/7 - 2277*a/7 + 6348 = 0.
-28, 23
Suppose -9*x**3/7 + 2433*x**2/7 + 4086*x/7 - 1632/7 = 0. What is x?
-2, 1/3, 272
Solve -2*p**3/5 + 632*p**2/5 - 4952*p/5 + 7392/5 = 0.
2, 6, 308
Suppose -12*w**2 + 6543*w + 4914 = 0. Calculate w.
-3/4, 546
Find r, given that -r**2 + 730*r + 14231 = 0.
-19, 749
Determine a so that -2*a**2 + 6023632*a - 4535517808928 = 0.
1505908
Find d such that 189*d**5 - 59922*d**4 + 239547*d**3 - 30486*d**2 - 450336*d - 120192 = 0.
-1, -2/7, 8/3, 313
Solve -x**3/4 + 195*x**2/4 + 249*x + 200 = 0.
-4, -1, 200
Factor -30*o**2/11 + 174334*o/11 - 23244/11.
-2*(o - 5811)*(15*o - 2)/11
Suppose -3*v**2 + 65256*v - 65253 = 0. Calculate v.
1, 21751
Solve 2*m**4/7 - 27158*m**3/7 + 17538840*m**2 - 184070733088*m/7 - 3164817130112/7 = 0 for m.
-17, 4532
Determine w, given that w**4/4 + 1461*w**3/4 + 5817*w**2/4 - 16021*w/4 + 4371/2 = 0.
-1457, -6, 1
Factor w**4/10 - 41*w**3/10 + 263*w**2/10 + 493*w/2.
w*(w - 29)*(w - 17)*(w + 5)/10
Determine p so that 3*p**5 + 2109*p**4/4 + 2853*p**3 - 53769*p**2/4 + 12354*p - 2295 = 0.
-170, -9, 1/4, 1, 2
Factor -i**4 - 204*i**3 - 1197*i**2 - 1782*i.
-i*(i + 3)**2*(i + 198)
Find k, given that -2*k**2/3 + 122*k = 0.
0, 183
Let -4*m**5/5 - 64*m**4/5 - 92*m**3/5 + 368*m**2 + 720*m = 0. Calculate m.
-10, -9, -2, 0, 5
Factor t**4/2 + 32138*t**3 - 96417*t**2 + 96418*t - 64279/2.
(t - 1)**3*(t + 64279)/2
Determine l so that -l**3/3 + 98*l**2/3 + 7381*l + 28980 = 0.
-105, -4, 207
Solve -2*q**3/7 + 4584*q**2/7 - 2631210*q/7 + 5244100/7 = 0.
2, 1145
What is s in -114*s**5 - 999*s**4 - 2079*s**3 - 1164*s**2 - 180*s = 0?
-6, -2, -1/2, -5/19, 0
Factor 3*w**5/4 - 1845*w**4/2 + 282744*w**3 + 569184*w**2.
3*w**2*(w - 616)**2*(w + 2)/4
Determine p so that 12*p**2 + 46919*p/5 - 782/5 = 0.
-782, 1/60
Solve -5*p**4 + 2780*p**3 - 5535*p**2 - 2780*p + 5540 = 0.
-1, 1, 2, 554
Factor 4*b**5 + 7220*b**4 - 307944*b**3 + 4333168*b**2 - 20272672*b.
4*b*(b - 