
Solve 3*l**3 - 57438*l**2 + 114867*l - 57432 = 0.
1, 19144
Suppose 4*o**5 - 22*o**4 + 24*o**3 + 2*o**2 - 8*o = 0. Calculate o.
-1/2, 0, 1, 4
Determine z so that z**2 + 722*z + 4296 = 0.
-716, -6
Solve 5*a**2 + 2580*a - 99360 = 0.
-552, 36
Let 2*q**5/5 + 168*q**4/5 + 808*q**3/5 + 1436*q**2/5 + 222*q + 316/5 = 0. What is q?
-79, -2, -1
Factor 5*i**2 - 38235*i - 38240.
5*(i - 7648)*(i + 1)
Factor -2*s**3 - 64*s**2 - 450*s - 828.
-2*(s + 3)*(s + 6)*(s + 23)
Suppose -140*b**4 - 1136*b**3 + 5892*b**2 + 16088*b + 1760 = 0. What is b?
-11, -2, -4/35, 5
Factor -h**2/6 - 847*h/6 - 3025.
-(h + 22)*(h + 825)/6
Factor -3*m**3 + 138*m**2 - 1527*m + 1392.
-3*(m - 29)*(m - 16)*(m - 1)
Let -2*f**5 + 212*f**4 - 6808*f**3 + 59248*f**2 = 0. What is f?
0, 14, 46
Find x such that 3*x**5 + 234*x**4 + 3867*x**3 - 19404*x**2 = 0.
-49, -33, 0, 4
Determine x, given that 4*x**4 - 1372*x**3 + 18620*x**2 - 64484*x = 0.
0, 7, 329
Factor -4*w**3 - 2900*w**2 - 39868*w - 36972.
-4*(w + 1)*(w + 13)*(w + 711)
Find r such that r**2 - 2007*r + 43670 = 0.
22, 1985
Solve -5*s**3 + 2620*s**2 - 78720*s = 0 for s.
0, 32, 492
Let 2*y**2/9 - 248716*y/9 + 165808/3 = 0. What is y?
2, 124356
Determine t so that -t**2/2 - 3424*t - 6847/2 = 0.
-6847, -1
Factor -2*y**3/7 - 2798*y**2/7 - 2796*y/7.
-2*y*(y + 1)*(y + 1398)/7
Factor 14*m**5 - 95812*m**4 + 163913800*m**3 + 46840336*m**2.
2*m**2*(m - 3422)**2*(7*m + 2)
Determine f, given that -1748*f**2 - 66432*f - 304 = 0.
-38, -2/437
Solve 20*b**4/3 + 202*b**3/3 - 78520*b**2/3 + 549142*b + 55176 = 0.
-76, -1/10, 33
Find j, given that -104*j**4 + 21564*j**3 - 7444*j**2 - 1656*j = 0.
-2/13, 0, 1/2, 207
Factor -b**2/8 + 529*b.
-b*(b - 4232)/8
Determine i, given that 45*i**5/2 + 230*i**4 - 40*i**3 - 920*i**2 - 200*i = 0.
-10, -2, -2/9, 0, 2
What is l in 3*l**4 + 409*l**3/2 - 635*l**2 - 4483*l/2 - 355 = 0?
-71, -2, -1/6, 5
What is j in 361*j**5/3 - 1102*j**4/3 + 499*j**3/3 + 902*j**2/3 - 860*j/3 + 200/3 = 0?
-1, 10/19, 1, 2
Factor -y**5 - 58*y**4 - 161*y**3 + 220*y**2.
-y**2*(y - 1)*(y + 4)*(y + 55)
Solve -20*f**5 - 35*f**4 + 1510*f**3 - 5335*f**2 + 4760*f - 880 = 0 for f.
-11, 1/4, 1, 4
Find n such that -2*n**4 - 298*n**3 - 292*n**2 + 592*n = 0.
-148, -2, 0, 1
Factor 10*v**4 - 2654*v**3 - 1596*v**2.
2*v**2*(v - 266)*(5*v + 3)
Factor 5*p**3 - 106630*p**2 - 2774915*p - 18042440.
5*(p - 21352)*(p + 13)**2
Factor 69*x**2/2 + 564483*x/2 - 24543.
3*(x + 8181)*(23*x - 2)/2
Suppose -61*v**5/6 - 15800*v**4/3 + 47062*v**3/3 - 46081*v**2/3 + 28657*v/6 + 521/3 = 0. What is v?
-521, -2/61, 1
Factor o**4/6 - 12*o**3 - 2843*o**2/6 + 40443*o - 863272/3.
(o - 61)**2*(o - 8)*(o + 58)/6
Find h such that 2*h**5/9 + 8254*h**4/9 + 24736*h**3/9 - 32992*h**2/9 = 0.
-4124, -4, 0, 1
Factor -x**2 - 4697*x - 14082.
-(x + 3)*(x + 4694)
Solve 38*x**5 + 149*x**4/4 - 3803*x**3/4 - 3725*x**2/4 + 75*x/4 = 0.
-5, -1, 0, 3/152, 5
Factor 4*n**3/3 + 2788*n**2/3 + 508640*n/3 + 7860800/3.
4*(n + 17)*(n + 340)**2/3
What is h in -h**2/3 - 177*h + 1066/3 = 0?
-533, 2
Determine f so that 3*f**2 + 56856*f + 269383728 = 0.
-9476
Solve -27*m**2/5 + 3804*m + 38148/5 = 0 for m.
-2, 6358/9
Factor -1759125245*h**3 - 375140*h**2 - 20*h.
-5*h*(18757*h + 2)**2
Determine i so that 2*i**4/7 - 2802*i**3/7 + 210222*i**2 - 49049658*i + 4289933340 = 0.
330, 357
Solve 3*c**3 + 362067*c**2 + 724125*c + 362061 = 0 for c.
-120687, -1
Let -z**2 + 1348676*z - 454731738244 = 0. Calculate z.
674338
Factor -4*q**3 + 444*q**2 + 4740*q - 1173308.
-4*(q - 79)**2*(q + 47)
Factor -5*j**3/3 - 102115*j**2/3 - 521220455*j/3 + 521526845.
-5*(j - 3)*(j + 10213)**2/3
Factor 2*s**4 + 160*s**3 + 614*s**2 + 456*s.
2*s*(s + 1)*(s + 3)*(s + 76)
Suppose -3*s**5/2 + 134*s**4/3 + 1690*s**3 - 9815*s**2/3 - 12177*s/2 - 1173 = 0. Calculate s.
-23, -1, -2/9, 3, 51
Factor 29786962921*s**2/5 + 1035534*s/5 + 9/5.
(172589*s + 3)**2/5
Determine c so that 3*c**3 - 636*c**2 + 31047*c - 30414 = 0.
1, 74, 137
Determine x, given that 5*x**5 - 13395*x**4 - 5*x**3 + 13395*x**2 = 0.
-1, 0, 1, 2679
Solve -a**2/5 + 518*a/5 - 12464 = 0.
190, 328
Suppose 25*q**3/2 - 4515*q**2 - 3618*q - 724 = 0. What is q?
-2/5, 362
Let 140*a**5/11 + 34*a**4/11 - 2308*a**3/11 - 5728*a**2/11 - 5096*a/11 - 1570/11 = 0. Calculate a.
-157/70, -1, 5
Determine m, given that -2*m**5 + 82*m**4 - 1124*m**3 + 5760*m**2 - 9216*m = 0.
0, 3, 6, 16
Factor -2*f**2/17 - 2065980*f/17 - 533534170050/17.
-2*(f + 516495)**2/17
Factor 39*t**2/7 + 366*t/7 + 135/7.
3*(t + 9)*(13*t + 5)/7
Factor -2*i**2/17 + 348910*i/17 + 348912/17.
-2*(i - 174456)*(i + 1)/17
Let -2*z**5 + 78*z**4 - 430*z**3 - 590*z**2 + 432*z + 512 = 0. Calculate z.
-1, 1, 8, 32
Determine j, given that 4*j**5 - 14008*j**4 + 16342656*j**3 - 6340913152*j**2 - 12747309056*j = 0.
-2, 0, 1168
Suppose -5*h**2 - 9850*h + 2099080 = 0. What is h?
-2164, 194
Factor v**3/4 - 109*v**2/4 + 363*v/2 - 306.
(v - 102)*(v - 4)*(v - 3)/4
Determine z, given that 2*z**5/3 + 224*z**4/3 + 5708*z**3/3 - 18488*z**2/3 + 18946*z/3 - 6392/3 = 0.
-68, -47, 1
Solve j**3/2 - 23*j**2 + 233*j/2 + 140 = 0.
-1, 7, 40
Factor -5*y**3 + 75080*y**2 - 281700100*y - 1128002000.
-5*(y - 7510)**2*(y + 4)
Factor l**4 - 1346*l**3 + 462172*l**2 - 6167160*l - 14193792.
(l - 666)**2*(l - 16)*(l + 2)
Determine z so that 3*z**4/2 - 1203*z**3/2 + 92097*z**2/2 - 180597*z/2 + 44850 = 0.
1, 100, 299
Determine m so that -4*m**4/3 + 1016*m**3/3 - 61748*m**2/3 + 1042384*m/3 + 779984 = 0.
-2, 41, 174
Find v, given that 2*v**3/7 + 32*v**2/7 - 2*v/7 - 32/7 = 0.
-16, -1, 1
What is l in 9*l**5 + 30*l**4 - 537*l**3 + 702*l**2 + 660*l - 600 = 0?
-10, -1, 2/3, 2, 5
Determine k so that -2*k**5/11 - 74*k**4/11 - 746*k**3/11 - 2454*k**2/11 - 2484*k/11 = 0.
-23, -9, -3, -2, 0
Solve -21*k**4/2 - 6535281*k**3 + 3734469*k**2/2 + 6535281*k - 1867224 = 0 for k.
-622408, -1, 2/7, 1
Factor -66*r**2/5 + 1416*r/5 + 4032/5.
-6*(r - 24)*(11*r + 28)/5
Factor -2*d**2/5 - 1816*d/5 - 1806.
-2*(d + 5)*(d + 903)/5
Let -2*s**3/15 - 89836*s**2/15 - 179666*s/15 - 29944/5 = 0. Calculate s.
-44916, -1
Let w**4 - 71*w**3 - 150*w**2 + 284*w + 584 = 0. What is w?
-2, 2, 73
Suppose 2*s**4/13 + 50*s**3/13 - 58*s**2 + 1350*s/13 - 648/13 = 0. Calculate s.
-36, 1, 9
Suppose -u**5 + 52*u**4 + 375*u**3 - 1570*u**2 + 196*u + 2088 = 0. Calculate u.
-9, -1, 2, 58
Let -2*c**5/5 - 4208*c**4/5 - 17520*c**3 - 237572*c**2/5 - 229166*c/5 - 74988/5 = 0. What is c?
-2083, -18, -1
Suppose -11*v**3/5 - 377*v**2/5 - 81*v + 1881/5 = 0. Calculate v.
-33, -3, 19/11
Find m, given that 2*m**5 - 636*m**4 + 50556*m**3 + 1904*m**2 - 150414*m - 101124 = 0.
-1, 2, 159
Let -x**3/3 - 130*x**2/3 - 1248*x + 9120 = 0. Calculate x.
-76, -60, 6
Find i, given that -14*i**3 + 334*i**2 + 48432*i + 6912 = 0.
-48, -1/7, 72
Determine p so that 3*p**3/2 + 15759*p**2/2 - 766800*p + 18486144 = 0.
-5349, 48
Solve -3*x**2 - 288*x + 5376 = 0.
-112, 16
Factor 2*i**2/5 - 5451388*i/5 + 3714703890818/5.
2*(i - 1362847)**2/5
Factor 28*p**3 - 100*p**2 - 16064*p - 6864.
4*(p - 26)*(p + 22)*(7*p + 3)
Solve -2*v**2 + 2548*v - 2546 = 0.
1, 1273
Factor -10*f**2/17 - 122924*f/17 - 49168/17.
-2*(f + 12292)*(5*f + 2)/17
Factor v**2/2 - 5470*v + 14960450.
(v - 5470)**2/2
Determine r so that -1388*r**2 + 4168*r - 12 = 0.
1/347, 3
Factor -3*b**3/2 + 447*b**2 + 103566*b + 4659732.
-3*(b - 462)*(b + 82)**2/2
Factor -4*l**3 + 93116*l**2 - 93104*l - 186224.
-4*(l - 23278)*(l - 2)*(l + 1)
Factor 4*m**4 - 27712*m**3 + 47997184*m**2.
4*m**2*(m - 3464)**2
Factor -a**3 + 50*a**2 + 13588*a - 902312.
-(a - 86)**2*(a + 122)
Solve -22*f**5 - 180*f**4 + 154*f**3 + 1128*f**2 - 1080*f = 0.
-90/11, -3, 0, 1, 2
Solve 2*k**4/13 + 4998*k**3/13 + 4153290*k**2/13 + 1139265650*k/13 - 6986194500/13 = 0.
-835, 6
Let -5*q**4/4 - 253*q**3/2 - 148*q**2 + 200*q = 0. What is q?
-100, -2, 0, 4/5
Factor -6*k**3 + 29361*k**2 + 44055*k.
-3*k*(k - 4895)*(2*k + 3)
Factor -3*r**3 + 885*r**2 - 19644*r + 35772.
-3*(r - 271)*(r - 22)*(r - 2)
Let 11*y**5/4 - 89*y**4/4 + 271*y**3/4 - 391*y**2/4 + 135*y/2 - 18 = 0. Calculate y.
1, 12/11, 2, 3
Suppose -5*y**4 + 103945*y**3 - 311805*y**2 + 311795*y - 103930 = 0. Calculate y.
1, 20786
Find u such that u**4/4 - 155*u**3/2 - 623*u**2/4 - 78*u = 0.
-1, 0, 312
Find x, given that -2*x**4 - 42*x**3 - 190*x**2 - 150*x = 0.
-15, -5, -1, 0
Suppose -40*g**3 + 457452*g**2 - 1307958192*g +