-2*z**2/3 - 2700*z + 56798/3 = 0.
-4057, 7
Find a, given that -a**2/4 + 5428*a - 29463184 = 0.
10856
Factor r**3/10 - 67*r**2/2 + 3239*r/10 + 715/2.
(r - 325)*(r - 11)*(r + 1)/10
Factor -27*l**4/5 - 253206*l**3/5 + 506484*l**2/5 - 337672*l/5 + 15008.
-(l + 9380)*(3*l - 2)**3/5
Let -t**2 - 30423*t - 273726 = 0. What is t?
-30414, -9
Factor 2*g**3/3 + 18*g**2 - 2916*g.
2*g*(g - 54)*(g + 81)/3
What is n in 16*n**4 - 106596*n**3 + 239768*n**2 - 53280*n = 0?
0, 1/4, 2, 6660
Factor 112*z**2/5 + 1462*z/5 + 3378/5.
2*(z + 3)*(56*z + 563)/5
Factor 2*a**3/3 + 9902*a**2/3 + 3300*a.
2*a*(a + 1)*(a + 4950)/3
Let -2*t**5/15 + 1120*t**4/3 - 1291582*t**3/5 - 63636004*t**2/15 + 138873856*t/15 - 23789568/5 = 0. What is t?
-18, 1, 1408
Factor -3*s**2 + 3408*s - 10197.
-3*(s - 1133)*(s - 3)
Suppose 2*q**2/9 - 1780*q/3 = 0. What is q?
0, 2670
Factor -4*q**2/13 - 2102*q/13 - 47188/13.
-2*(q + 502)*(2*q + 47)/13
Factor q**2/2 - 244*q - 984.
(q - 492)*(q + 4)/2
Suppose -3*f**2/4 - 152375*f + 203167/4 = 0. What is f?
-203167, 1/3
Solve 28*c**3/5 + 59*c**2 + 152*c/5 + 4 = 0 for c.
-10, -2/7, -1/4
Factor -c**2 - 36*c - 308.
-(c + 14)*(c + 22)
Factor 2*y**4/7 + 86*y**3/7 - 386*y**2/7 - 470*y/7.
2*y*(y - 5)*(y + 1)*(y + 47)/7
Let -4*r**4 + 1317*r**3 - 27253*r**2 - 21513*r + 7061 = 0. What is r?
-1, 1/4, 23, 307
Factor -w**2 - 354*w - 704.
-(w + 2)*(w + 352)
Find u, given that -4*u**4/3 + 172*u**3/3 + 72*u**2 - 5904*u + 22176 = 0.
-11, 6, 42
Let -o**3/3 - 312500*o**2/3 - 8138124999*o - 16275833334 = 0. What is o?
-156249, -2
Factor q**2/4 - 369*q - 7405/4.
(q - 1481)*(q + 5)/4
Suppose 32*m**5/9 - 848*m**4/9 + 7634*m**3/9 - 30014*m**2/9 + 51590*m/9 - 31850/9 = 0. Calculate m.
7/4, 5, 13
Let -2*j**4/13 + 138*j**3/13 + 284*j**2/13 = 0. Calculate j.
-2, 0, 71
Determine a so that 2*a**3 - 77024*a**2 = 0.
0, 38512
Suppose -4*m**2/9 + 630782*m/9 + 315392/9 = 0. What is m?
-1/2, 157696
Factor -y**3 - 1586*y**2 + 53227*y - 323800.
-(y - 25)*(y - 8)*(y + 1619)
Suppose -57122*t**5 + 163254*t**4 + 24048*t**3 - 227624*t**2 - 32448*t - 1152 = 0. Calculate t.
-1, -12/169, 2
Solve 2*j**5 - 44987*j**4 + 252967524*j**3 + 126495009*j**2 = 0 for j.
-1/2, 0, 11247
Suppose -r**2/9 - 176*r/9 - 901/3 = 0. Calculate r.
-159, -17
Factor -b**3/8 + 1383*b**2/4 + 2767*b/8.
-b*(b - 2767)*(b + 1)/8
Suppose a**4 - 6645*a**3 + 14718675*a**2 - 10867288375*a = 0. Calculate a.
0, 2215
Factor -5*u**2 - 51345*u.
-5*u*(u + 10269)
Factor 2*g**3/5 + 682*g**2/5 + 676*g/5 - 272.
2*(g - 1)*(g + 2)*(g + 340)/5
Find y such that 4*y**4 - 72*y**3 - 764*y**2 - 1728*y - 1040 = 0.
-5, -2, -1, 26
Let -2*u**2/7 - 25330*u/7 - 101288/7 = 0. Calculate u.
-12661, -4
Suppose -3*q**4/5 + 466*q**3/5 + 373*q**2/5 - 9536*q/5 + 624 = 0. What is q?
-5, 1/3, 4, 156
Determine x, given that -x**3/3 + 562*x**2 - 1685*x/3 = 0.
0, 1, 1685
Factor -50*u**4 + 640*u**3 + 292*u**2 - 14976*u - 27378.
-2*(u - 9)**2*(5*u + 13)**2
Let 3*i**2 - 459069*i - 918150 = 0. What is i?
-2, 153025
Solve a**5/4 + 165*a**4/2 + 10115*a**3 + 1092455*a**2/2 + 44344755*a/4 + 10549994 = 0.
-91, -56, -1
Factor 75*k**3 + 3030*k**2 - 4992*k + 2016.
3*(k + 42)*(5*k - 4)**2
Solve -5*c**2 + 85960*c - 369456080 = 0 for c.
8596
Suppose -j**3 - 599105*j**2 = 0. Calculate j.
-599105, 0
What is i in i**5/8 - 189*i**4/8 + 12847*i**3/8 - 375387*i**2/8 + 540995*i - 1242150 = 0?
3, 28, 65
Determine u, given that -23*u**2/9 - 446*u/9 - 665/3 = 0.
-285/23, -7
Suppose -q**3 + 1265*q**2 + 6346*q + 5080 = 0. Calculate q.
-4, -1, 1270
What is t in -t**5/3 - 213515*t**4/3 - 1494574*t**3/3 - 3843164*t**2/3 - 4270168*t/3 - 1708064/3 = 0?
-213508, -2, -1
Factor -t**2/2 - 43079*t/2 + 21540.
-(t - 1)*(t + 43080)/2
Suppose -9261*s**5/2 - 3013794*s**4 + 15618645*s**3 - 2190226*s**2 + 207291*s/2 - 1640 = 0. Calculate s.
-656, 1/21, 5
Factor -2*o**3 + 108*o**2 + 1962*o + 7452.
-2*(o - 69)*(o + 6)*(o + 9)
Suppose 5*q**2/4 - 121105*q/2 + 2933284205/4 = 0. Calculate q.
24221
Factor -2*s**3 + 452*s**2 - 25090*s - 25544.
-2*(s - 124)*(s - 103)*(s + 1)
Suppose k**2/5 + 402*k/5 + 35912/5 = 0. What is k?
-268, -134
Let -3*k**5/8 - 225*k**4/8 - 2799*k**3/4 - 22425*k**2/4 + 50625*k/8 + 421875/8 = 0. Calculate k.
-25, -3, 3
Solve 3*r**4 - 2646*r**3 + 772560*r**2 - 73071744*r - 466818048 = 0 for r.
-6, 296
Determine p, given that -p**5/3 + 62*p**4/3 - 375*p**3 + 4984*p**2/3 - 3920*p/3 = 0.
0, 1, 5, 28
Factor -6*t**2 + 149688*t/5 - 388986/5.
-6*(t - 4987)*(5*t - 13)/5
Suppose n**4/8 - 1145*n**3/8 + 15859*n**2/8 - 28287*n/8 + 3393/2 = 0. Calculate n.
1, 12, 1131
Factor 2*h**3/13 + 4406*h**2/13 + 4404*h/13.
2*h*(h + 1)*(h + 2202)/13
Factor -c**3/4 - 2887*c**2/4 + 5777*c/4 - 2889/4.
-(c - 1)**2*(c + 2889)/4
Solve w**3 + 5903*w**2 + 29496*w + 35388 = 0 for w.
-5898, -3, -2
Let b**4/6 + 29*b**3/6 + 55*b**2/6 + 9*b/2 = 0. Calculate b.
-27, -1, 0
Find d, given that 3*d**2 - 3002202*d + 751101404067 = 0.
500367
Let -5*d**3 + 300*d**2 - 2295*d = 0. What is d?
0, 9, 51
Factor 3*f**2 + 1521882*f + 193010401827.
3*(f + 253647)**2
What is s in -3*s**5 - 183*s**4 - 630*s**3 + 3018*s**2 - 3399*s + 1197 = 0?
-57, -7, 1
Suppose 2*f**3 + 242*f**2 - 19242*f - 59850 = 0. What is f?
-175, -3, 57
Factor -3*t**2 + 687*t - 7812.
-3*(t - 217)*(t - 12)
Factor 722*f**4/7 - 113316*f**3 + 218112282*f**2/7 - 19645416*f + 21700872/7.
2*(f - 549)**2*(19*f - 6)**2/7
Determine m, given that -m**4 + 72*m**3 + 1621*m**2 - 72*m - 1620 = 0.
-18, -1, 1, 90
Determine j, given that 172*j**2 - 406960*j + 18928 = 0.
2/43, 2366
Factor 3*u**3 - 36087*u**2 + 108432357*u + 543064335.
3*(u - 6017)**2*(u + 5)
Factor 3*u**5 - 90*u**4 - 612*u**3 - 1272*u**2 - 864*u.
3*u*(u - 36)*(u + 2)**3
Suppose 276*a**5/7 - 3560*a**4/7 + 12056*a**3/7 + 8160*a**2/7 - 68300*a/7 - 1000 = 0. Calculate a.
-2, -7/69, 5
Factor 2*k**3/3 - 830*k**2/3 + 108800*k/3 - 1445000.
2*(k - 170)**2*(k - 75)/3
Find m, given that 2*m**2/15 - 28*m/3 + 816/5 = 0.
34, 36
Find j, given that -j**2 - 2854*j/7 + 5736/7 = 0.
-2868/7, 2
Let -75*p**4 + 1240*p**3 - 640*p**2 = 0. Calculate p.
0, 8/15, 16
What is d in -48471306244*d**2 + 880648*d - 4 = 0?
1/110081
What is c in -2*c**2/11 + 2870*c/11 + 4488 = 0?
-17, 1452
Factor -115*z**3 + 450*z**2 + 8895*z + 770.
-5*(z - 11)*(z + 7)*(23*z + 2)
Determine b, given that 2*b**2/9 - 1648*b/9 + 25856/9 = 0.
16, 808
Factor 4*q**5 - 7596*q**4 + 868320*q**3 - 25617600*q**2.
4*q**2*(q - 1779)*(q - 60)**2
Solve 2*n**4 + 74*n**3 - 170*n**2 - 554*n - 312 = 0.
-39, -1, 4
Suppose 3*n**5 + 1992*n**4 - 8013*n**3 + 2022*n**2 + 12024*n = 0. Calculate n.
-668, -1, 0, 2, 3
Factor v**2/7 - 1136*v/7 - 11696.
(v - 1204)*(v + 68)/7
What is y in y**2/2 + 1657*y/2 - 829 = 0?
-1658, 1
Factor z**3/5 - 281*z**2/5 - 566*z/5.
z*(z - 283)*(z + 2)/5
Let -v**2/8 + 37*v/8 + 891/2 = 0. Calculate v.
-44, 81
Find f such that f**2/6 - 58942*f/3 - 39295/2 = 0.
-1, 117885
Determine a so that 5*a**4/6 + 61*a**3/6 - 413*a**2/6 - 85*a/6 = 0.
-17, -1/5, 0, 5
What is t in 2*t**4/11 - 1492*t**3/11 + 203520*t**2/11 - 10191052*t/11 + 174781598/11 = 0?
53, 587
Find d, given that 80*d**4 - 1205*d**3 + 6075*d**2 - 10375*d + 625 = 0.
1/16, 5
Determine r so that -2*r**3 - 169*r**2 + 827*r + 2314 = 0.
-89, -2, 13/2
Find q, given that -2*q**5/7 - 116*q**4/7 - 1832*q**3/7 - 8084*q**2/7 - 11126*q/7 - 680 = 0.
-35, -17, -4, -1
Factor -3*z**3 + 510*z**2 - 9171*z - 32184.
-3*(z - 149)*(z - 24)*(z + 3)
Find m, given that 4*m**2 - 3196*m - 19320 = 0.
-6, 805
Suppose 95*s**4 - 359*s**3 + 288*s**2 + 116*s - 32 = 0. What is s?
-8/19, 1/5, 2
Factor -w**2/5 - 4263*w/5 - 4262/5.
-(w + 1)*(w + 4262)/5
Suppose -4*x**2 - 41240*x + 41244 = 0. What is x?
-10311, 1
What is d in -15*d**5/4 + 8425*d**4/2 - 39185*d**3/4 - 28095*d**2/2 + 39245*d - 11210 = 0?
-2, 1/3, 2, 1121
Factor -6*j**2 + 6519*j - 67788.
-3*(j - 1076)*(2*j - 21)
Let 5*f**4 - 8160*f**3 + 4644000*f**2 - 1022423040*f + 57703000320 = 0. What is f?
84, 516
Find v such that -5*v**2 - 73580*v - 270700820 = 0.
-7358
Let -4*r**3/3 - 58*r**2/3 + 334*r/3 - 152/3 = 0. Calculate r.
-19, 1/2, 4
Determine c, given that -c**4/6 + 4801*c**3 + 57623*c**2/6 - 33610*c + 57616/3 = 0.
-4, 1, 28808
Factor 2*j**3/9 + 560*j**2/9 + 16856*j/9 + 10496/3.
2*(j + 2)*(j + 32)*(j + 246)/9
Determine i so that i**3 - 3087*i**2 + 2639736*i - 385819632 = 0.
183, 1452
Determine q, given that -2*q