6
Let 4*q**3 + 27464*q**2 - 109904*q + 109920 = 0. Calculate q.
-6870, 2
Solve q**5 + 8942*q**4 + 19989841*q**3 = 0 for q.
-4471, 0
Determine o, given that -2*o**3/5 + 146*o**2/5 - 2222*o/5 + 5406/5 = 0.
3, 17, 53
Factor 5*t**3 + 2250*t**2 - 80*t - 36000.
5*(t - 4)*(t + 4)*(t + 450)
Find b such that 2*b**5/5 - 868*b**4/5 + 108556*b**3/5 - 4104776*b**2/5 - 8538702*b/5 - 864900 = 0.
-1, 93, 250
Find t, given that 5*t**3/3 + 1345*t**2/3 + 25800*t + 425520 = 0.
-197, -36
What is t in 3*t**4/4 + 558*t**3 - 18729*t**2 - 81588*t - 83808 = 0?
-776, -2, 36
Determine a so that 2*a**4 + 616*a**3 - 13908*a**2 - 29656*a - 15134 = 0.
-329, -1, 23
Determine x, given that -3*x**5 + 153*x**4 - 2682*x**3 + 17742*x**2 - 28035*x + 12825 = 0.
1, 15, 19
Let -5*j**5 + 3490*j**4 - 594890*j**3 - 4924400*j**2 - 10556465*j - 6230450 = 0. What is j?
-5, -2, -1, 353
Factor -2*q**2 - 8*q.
-2*q*(q + 4)
What is d in 2*d**4 - 32*d**3 - 42*d**2 + 128*d + 136 = 0?
-2, -1, 2, 17
Factor -2*f**2/5 + 4908*f/5 - 3920.
-2*(f - 2450)*(f - 4)/5
Find w such that -5*w**5 - 125*w**4 - 1085*w**3 - 3735*w**2 - 4050*w = 0.
-9, -5, -2, 0
Solve 2*i**4/13 + 2102*i**3/13 + 551244*i**2/13 - 557560*i/13 - 1106704/13 = 0.
-526, -1, 2
Factor 31*w**2/2 - 488*w + 3330.
(w - 10)*(31*w - 666)/2
Find c such that 1323*c**3 - 18837*c**2 - 379824*c + 5486784 = 0.
-17, 328/21
Factor 178*q**2 - 5*q/3.
q*(534*q - 5)/3
Factor 2*u**3/9 - 850*u**2/3 + 89024*u + 824328.
2*(u - 642)**2*(u + 9)/9
Factor 5*b**5 - 375*b**4 + 8545*b**3 - 36045*b**2 - 503010*b - 787320.
5*(b - 27)**3*(b + 2)*(b + 4)
Factor f**3 - 17044*f**2 - 34091*f - 17046.
(f - 17046)*(f + 1)**2
Find o such that 15*o**3 - 2465*o**2 - 11855*o + 4225 = 0.
-5, 1/3, 169
Factor 3*w**3/7 - 18*w**2/7 - 801*w/7 - 780/7.
3*(w - 20)*(w + 1)*(w + 13)/7
Factor -3*a**3 + 3849*a**2 - 1232640*a - 1236492.
-3*(a - 642)**2*(a + 1)
Suppose l**4/6 + 94*l**3/3 + 2485*l**2/6 + 1421*l = 0. Calculate l.
-174, -7, 0
What is w in -4*w**5 + 884*w**4 - 868*w**3 - 2644*w**2 + 872*w + 1760 = 0?
-1, 1, 2, 220
Factor 2*r**3 - 354*r**2 + 16480*r - 73800.
2*(r - 90)*(r - 82)*(r - 5)
Factor 3*r**4/5 + 54*r**3/5 + 267*r**2/5 + 396*r/5.
3*r*(r + 3)*(r + 4)*(r + 11)/5
Factor 4*w**3 - 176*w**2 - 19968*w.
4*w*(w - 96)*(w + 52)
What is q in 4*q**2 + 2628*q + 7848 = 0?
-654, -3
Suppose q**2 + 26*q = 0. What is q?
-26, 0
Factor h**3 - 127*h**2 + 495*h - 369.
(h - 123)*(h - 3)*(h - 1)
Determine q so that 4*q**2 - 28860*q - 28864 = 0.
-1, 7216
Find u, given that -2*u**3 + 1286*u**2 - 206080*u - 207368 = 0.
-1, 322
Suppose -89*l**3/3 + 1426*l**2/3 - 32*l/3 = 0. Calculate l.
0, 2/89, 16
Factor 3*p**5 - 12*p**4 + 9*p**3 + 12*p**2 - 12*p.
3*p*(p - 2)**2*(p - 1)*(p + 1)
Factor f**2/5 + 126352*f/5 + 379047/5.
(f + 3)*(f + 126349)/5
Find s, given that -2*s**4/3 + 1786*s**3/3 + 5394*s**2 + 16218*s + 16236 = 0.
-3, 902
Factor -5*o**2 - 313240*o - 4905964880.
-5*(o + 31324)**2
Factor 11881*x**3/6 - 489301*x**2/6 + 44740*x/3 - 2050/3.
(x - 41)*(109*x - 10)**2/6
Factor 5*z**4 - 41900*z**3 + 87696660*z**2 + 351289600*z + 351457280.
5*(z - 4192)**2*(z + 2)**2
Factor 3*m**4 + 1824*m**3 + 66573*m**2.
3*m**2*(m + 39)*(m + 569)
Suppose 4*b**2/5 + 75668*b/5 - 151352/5 = 0. What is b?
-18919, 2
Solve q**3/3 + 3628*q**2 + 9849984*q - 118722816 = 0.
-5448, 12
Find u, given that -4*u**2 - 38964*u + 38968 = 0.
-9742, 1
What is l in 1366*l**2 + 6829*l - 5 = 0?
-5, 1/1366
Factor -3*o**4/5 + 111*o**3/5 + 792*o**2 + 26352*o/5.
-3*o*(o - 61)*(o + 12)**2/5
Factor -4*k**2 + 94680*k - 378656.
-4*(k - 23666)*(k - 4)
Suppose -2*w**3/15 - 48244*w**2/15 + 16082*w/5 = 0. Calculate w.
-24123, 0, 1
Determine z, given that 529*z**4 - 370208*z**3 + 2501783*z**2 + 443492*z + 19404 = 0.
-2/23, 7, 693
Factor 2*s**3/3 + 1354*s**2 + 2706*s + 4058/3.
2*(s + 1)**2*(s + 2029)/3
Factor 3*t**3 - 22965*t**2 - 3*t + 22965.
3*(t - 7655)*(t - 1)*(t + 1)
Factor 65*l**2/2 + 24360*l.
5*l*(13*l + 9744)/2
Find k, given that -6*k**5 - 1089*k**4 - 10884*k**3 - 18909*k**2 + 12312*k = 0.
-171, -8, -3, 0, 1/2
What is c in 50*c**2/3 + 388540*c/3 + 754816658/3 = 0?
-19427/5
What is h in 66*h**3 + 2295*h**2 + 22752*h + 46848 = 0?
-16, -61/22
Factor -4*h**2 - 59560*h - 59556.
-4*(h + 1)*(h + 14889)
Factor 2*x**4/5 + 14432*x**3 + 867820212*x**2/5 + 3478512634992*x/5 - 3479380527366/5.
2*(x - 1)*(x + 12027)**3/5
Let -5*o**3 - 10365*o**2 - 31050*o = 0. Calculate o.
-2070, -3, 0
Solve -n**2/6 + 467*n/2 + 3515/3 = 0 for n.
-5, 1406
Find n such that 33*n**3/7 - 8427*n**2/7 - 31233*n/7 + 5661 = 0.
-51/11, 1, 259
Factor 2*p**4 + 92*p**3 - 2902*p**2 + 18288*p - 33120.
2*(p - 15)*(p - 4)**2*(p + 69)
Factor t**4 - 294*t**3 - 889*t**2 - 594*t.
t*(t - 297)*(t + 1)*(t + 2)
Suppose 21*w**4 - 63972*w**3 + 783600*w**2 - 2512368*w + 655344 = 0. What is w?
2/7, 6, 3034
Suppose -5*t**5 + 80970*t**4 - 437076055*t**3 + 786445442990*t**2 + 437076060*t - 786445523960 = 0. What is t?
-1, 1, 5398
Factor c**2/3 + 790*c/3 + 1576/3.
(c + 2)*(c + 788)/3
Let -h**2 - 5501*h - 87760 = 0. What is h?
-5485, -16
Factor 3*d**2/2 + 1035*d/2 + 44526.
3*(d + 164)*(d + 181)/2
Suppose -w**2/5 - 3413*w/5 + 3414/5 = 0. What is w?
-3414, 1
Factor 368*a**3 + 15092*a**2 - 66076*a - 720.
4*(a - 4)*(a + 45)*(92*a + 1)
Find q, given that -2*q**4/5 + 6*q**3 + 3432*q**2/5 + 680*q = 0.
-34, -1, 0, 50
Factor 2*w**2/7 - 4088416*w/7 + 2089393173632/7.
2*(w - 1022104)**2/7
Factor 2*w**2/23 + 1588*w/23 + 6320/23.
2*(w + 4)*(w + 790)/23
Factor 26*q**2 + 807*q + 2212.
(q + 28)*(26*q + 79)
Suppose a**2/2 - 221*a/2 + 327 = 0. What is a?
3, 218
Find x, given that -50*x**5 + 6360*x**4 - 211888*x**3 + 596224*x**2 + 580320*x + 123008 = 0.
-2/5, 4, 62
Factor -2*g**2 - 1020284*g + 1020286.
-2*(g - 1)*(g + 510143)
Find n, given that n**4/2 - 13*n**3 + 163*n**2/2 - 177*n + 108 = 0.
1, 3, 4, 18
Find c such that -c**5 - 27*c**4 - 126*c**3 = 0.
-21, -6, 0
Suppose -4*z**3 - 1072*z**2 + 113076*z = 0. What is z?
-349, 0, 81
Suppose -1377*a**4 + 170541*a**3 + 197500*a**2 + 62452*a + 6000 = 0. Calculate a.
-12/17, -2/9, 125
Determine q, given that 3*q**3/5 - 162*q**2/5 - 2577*q/5 - 2412/5 = 0.
-12, -1, 67
Suppose 6*m**2/19 - 6356*m/19 + 8464/19 = 0. What is m?
4/3, 1058
Factor -v**2 + 621*v + 622.
-(v - 622)*(v + 1)
What is z in -5*z**4/3 - 395*z**3/3 - 1870*z**2/3 - 1480*z/3 = 0?
-74, -4, -1, 0
Determine s so that -3*s**3 - 897*s**2 - 8745*s - 21675 = 0.
-289, -5
Let 9248*w**4/11 + 54672*w**3/11 + 69106*w**2/11 - 6420*w/11 + 144/11 = 0. What is w?
-4, -2, 3/68
Determine z, given that -z**5/2 + 413*z**4/4 + 2453*z**3/4 - 6413*z**2 = 0.
-11, 0, 11/2, 212
Determine o so that -2*o**5/5 + 484*o**4/5 - 38378*o**3/5 + 215888*o**2 - 7757672*o/5 - 50883872/5 = 0.
-4, 26, 97
What is r in -2*r**2/11 + 2484*r/11 + 129200/11 = 0?
-50, 1292
Solve 22*y**4/3 - 58*y**3/3 - 310*y**2/3 + 226*y/3 + 40 = 0.
-3, -4/11, 1, 5
Factor 5*y**2 + 507085*y - 507090.
5*(y - 1)*(y + 101418)
Factor j**2 - 1967*j.
j*(j - 1967)
Factor -4*c**3 + 6020*c**2 - 2001532*c - 203747076.
-4*(c - 793)**2*(c + 81)
Determine p, given that -3*p**4/4 - 121077*p**3/2 - 4886788791*p**2/4 - 2443212783*p - 1221576123 = 0.
-40358, -1
Determine d, given that 2*d**2 + 1538258*d/9 - 341836/9 = 0.
-85459, 2/9
Factor -g**2/2 - 7357*g - 14713/2.
-(g + 1)*(g + 14713)/2
Factor 2*q**2/3 - 8528*q.
2*q*(q - 12792)/3
Factor -2*h**2/3 - 2352680*h/3.
-2*h*(h + 1176340)/3
Determine r so that 245*r**5 - 355390*r**4 + 1621080*r**3 - 2256400*r**2 + 925520*r - 115680 = 0.
2/7, 2, 1446
What is z in -2*z**3 - 650*z**2 + 1306*z - 654 = 0?
-327, 1
Solve -2*a**3/3 - 3786*a**2 + 45458*a/3 - 11366 = 0 for a.
-5683, 1, 3
Determine y so that 4*y**4 - 1048*y**3 + 2064*y**2 + 4192*y - 8320 = 0.
-2, 2, 260
Factor 2*w**3/15 + 112*w**2/15 - 1934*w/15 + 364/3.
2*(w - 13)*(w - 1)*(w + 70)/15
Factor g**2/2 - 3253*g/2 + 29115.
(g - 3235)*(g - 18)/2
Solve 35*x**5 + 94315*x**4 + 161595*x**3 + 40385*x**2 - 26930*x = 0 for x.
-2693, -1, 0, 2/7
Find q such that 3*q**2 - 18003*q = 0.
0, 6001
Factor -2*g**2/7 + 10644*g/7 - 10642/7.
-2*(g - 5321)*(g - 1)/7
Factor i**3/3 + 4552*i**2/3 + 5171060*i/3 - 20757136/3.
(i - 4)*(i + 2278)**2/3
Factor -3*q**2 - 99603*q - 99600.
-3*(q + 1)*(q + 33200)
Factor w**2/6 + 15001*w/6 - 5001.
(w - 2)*(w + 15003)/6
Find v such that -4*v**2 + 424*v - 10912 = 0.
44, 62
Factor l**3/8 - 223*l**2/2 + 26