*n**2/5 - 302*n/5 + 28 = 0 for n.
-5, 7/13, 2
Find i such that -142129*i**5/5 + 754*i**4/5 - i**3/5 = 0.
0, 1/377
Factor 3*b**3 + 42261*b**2 + 148769265*b - 446688225.
3*(b - 3)*(b + 7045)**2
Factor -6*t**3/11 - 696*t**2/11 + 125832*t/11.
-6*t*(t - 98)*(t + 214)/11
Factor -2020*b**2 + 948*b.
-4*b*(505*b - 237)
Factor 2*v**3/23 - 162*v**2/23 + 1116*v/23 + 12960/23.
2*(v - 72)*(v - 15)*(v + 6)/23
Factor 2*h**3/13 + 64*h**2/13 - 4826*h/13 + 4760/13.
2*(h - 35)*(h - 1)*(h + 68)/13
Factor -u**3/2 + 47782*u**2 - 95563*u/2.
-u*(u - 95563)*(u - 1)/2
Let 2*g**4 + 6368*g**3 + 3698816*g**2 - 2181218304*g + 234650861568 = 0. Calculate g.
-1784, 192
Find d, given that d**2/6 + 973361*d/3 + 947431636321/6 = 0.
-973361
Factor -4*v**2 - 297096*v.
-4*v*(v + 74274)
Factor c**4 + 129*c**3 + 2246*c**2 - 2376*c.
c*(c - 1)*(c + 22)*(c + 108)
Factor -3*o**5 - 399*o**4 - 18552*o**3 - 337176*o**2 - 1714608*o - 2222640.
-3*(o + 2)*(o + 5)*(o + 42)**3
Let 2*x**4 + 1610*x**3/3 - 37892*x**2/3 - 55496*x/3 + 53360/3 = 0. What is x?
-290, -2, 2/3, 23
Suppose 28*n**4 + 708*n**3 - 52*n**2 - 6372*n - 1800 = 0. Calculate n.
-25, -3, -2/7, 3
Factor 3*b**2/5 - 1884*b/5 + 7488/5.
3*(b - 624)*(b - 4)/5
Factor 4*n**3 - 2080*n**2 - 16*n + 8320.
4*(n - 520)*(n - 2)*(n + 2)
Determine g so that -2*g**5/5 - 12302*g**4/5 - 3789626*g**3 - 94507042*g**2/5 - 113319948*g/5 = 0.
-3073, -3, -2, 0
Factor -5*z**3 - 57980*z**2 - 3580345*z - 55420870.
-5*(z + 31)**2*(z + 11534)
Solve -2*n**2/17 - 3960*n/17 + 7928/17 = 0 for n.
-1982, 2
Find z, given that 23*z**2/2 + 3807*z + 331/2 = 0.
-331, -1/23
Factor 2*q**3/9 + 58280*q**2/9 + 424394906*q/9 - 849489316/3.
2*(q - 6)*(q + 14573)**2/9
Let i**3/2 + 1143*i**2 + 2279*i/2 - 6855 = 0. What is i?
-2285, -3, 2
Let -q**5/3 - 2012*q**4/3 + 2*q**3 + 12080*q**2/3 + 16099*q/3 + 2012 = 0. What is q?
-2012, -1, 3
Solve -f**2/8 + 1835*f/8 - 917/4 = 0 for f.
1, 1834
Find l, given that l**5 - 24546*l**4 - 196416*l**3 - 392864*l**2 = 0.
-4, 0, 24554
Find d, given that 2*d**2 - 1561348*d + 304725947138 = 0.
390337
Factor -4*z**3 + 9732*z**2 - 6029820*z + 133586300.
-4*(z - 1205)**2*(z - 23)
What is m in 3*m**2/7 - 12624*m/7 + 1803 = 0?
1, 4207
Let 4*m**3 - 272*m**2 - 2076*m - 1800 = 0. What is m?
-6, -1, 75
Find x such that 4*x**5/7 - 356*x**4/7 + 11232*x**3/7 - 23264*x**2 + 156352*x - 385728 = 0.
6, 14, 41
Solve -2*t**3 + 16*t**2 + 578*t - 4624 = 0 for t.
-17, 8, 17
Let 2*o**4/3 + 730868*o**3/3 + 29676083064*o**2 + 3614932705787788*o/3 + 3614843678269462/3 = 0. What is o?
-121811, -1
Factor 2615*p**2 - 91735*p + 7350.
5*(p - 35)*(523*p - 42)
Determine h so that -2*h**4 - 330*h**3 - 3972*h**2 - 2992*h + 7296 = 0.
-152, -12, -2, 1
Factor 3*j**5/5 + 27*j**4/5 + 42*j**3/5 - 168*j**2/5 - 288*j/5 + 384/5.
3*(j - 2)*(j - 1)*(j + 4)**3/5
What is u in -2*u**2 + 762*u - 13068 = 0?
18, 363
Factor -432*j**4 - 1800*j**3 - 2019*j**2 - 300*j - 12.
-3*(j + 2)**2*(12*j + 1)**2
Suppose 3*x**5 - 22524*x**4 + 42277539*x**3 + 67578*x**2 - 126877692*x + 84555096 = 0. Calculate x.
-2, 1, 3754
Factor -5*g**3 - 6140*g**2 + 6155*g + 12290.
-5*(g - 2)*(g + 1)*(g + 1229)
Determine s so that s**4/3 - 446*s**3 - 1344*s**2 + 12074*s/3 - 2235 = 0.
-5, 1, 1341
Factor -3*a**3/8 + 27*a**2/4 + 165*a/8 - 225/2.
-3*(a - 20)*(a - 3)*(a + 5)/8
Find i, given that -3*i**2/4 + 141*i + 7839/4 = 0.
-13, 201
Factor l**3 + 1823*l**2 - l - 1823.
(l - 1)*(l + 1)*(l + 1823)
Factor h**4/11 + 10*h**3/11 - 39*h**2/11 - 180*h/11.
h*(h - 5)*(h + 3)*(h + 12)/11
Factor 3*a**2 - 70962*a + 419633787.
3*(a - 11827)**2
Find i, given that -45*i**4 - 4175*i**3 + 18365*i**2 - 6605*i - 29100 = 0.
-97, -1, 20/9, 3
Solve b**2/4 - 2122*b - 25473/4 = 0.
-3, 8491
Solve 2*q**3/7 + 278*q**2/7 + 12198*q/7 + 162450/7 = 0 for q.
-57, -25
Let 3*k**2 + 762*k + 5904 = 0. Calculate k.
-246, -8
Suppose 2*t**5 - 14*t**4 - 156*t**3 - 64*t**2 + 832*t = 0. Calculate t.
-4, 0, 2, 13
Factor 2*n**2 - 296152*n - 888474.
2*(n - 148079)*(n + 3)
Factor -27*w**2/5 - 897*w/5 - 174.
-3*(w + 1)*(9*w + 290)/5
Find h, given that 20*h**4 - 31628*h**3 + 138868*h**2 - 145108*h + 37848 = 0.
2/5, 1, 3, 1577
Suppose -3*l**2 + 69*l - 396 = 0. Calculate l.
11, 12
What is h in -4*h**2 - 2132*h + 499136 = 0?
-709, 176
What is a in -a**3/4 + 18212*a**2 + 145699*a/4 + 36425/2 = 0?
-1, 72850
Suppose -3*h**3/7 - 13113*h**2/7 - 78597*h/7 - 117855/7 = 0. Calculate h.
-4365, -3
Determine u so that -2*u**5 + 4*u**4 + 126*u**3 - 216*u**2 - 1512*u = 0.
-7, -3, 0, 6
Factor -2*o**2 + 216692*o - 5869427858.
-2*(o - 54173)**2
Solve 4*r**4 - 108*r**3 - 1224*r**2 - 2592*r = 0 for r.
-6, -3, 0, 36
Solve b**5/3 - 166*b**4/3 + 142*b**3/3 + 1252*b**2 + 2139*b + 990 = 0.
-3, -1, 6, 165
Let -4*l**4 + 227*l**3/3 + 16531*l**2/3 + 158048*l/3 + 4352 = 0. Calculate l.
-16, -1/12, 51
Determine k, given that 75*k**3 - 17385*k**2 - 20946*k - 5592 = 0.
-4/5, -2/5, 233
Suppose -46*r**5 - 42*r**4 + 2258*r**3 - 3462*r**2 - 5236*r + 480 = 0. Calculate r.
-8, -1, 2/23, 3, 5
Let -m**2 - 202866*m - 10288653489 = 0. Calculate m.
-101433
Solve b**5/6 - 41*b**4 - 30049*b**3/6 - 154949*b**2 - 1256010*b - 1106028 = 0.
-42, -11, -1, 342
Factor -2*t**2 + 4566*t + 41256.
-2*(t - 2292)*(t + 9)
Factor -4*n**3/5 - 27*n**2/5 + 8*n + 231/5.
-(n - 3)*(n + 7)*(4*n + 11)/5
Determine b, given that -b**5/7 - 5*b**4 + 1738*b**3/7 - 238*b**2 - 1737*b/7 + 243 = 0.
-63, -1, 1, 27
Find u such that -5*u**3 - 12480*u**2 - 7799985*u - 15550090 = 0.
-1247, -2
Determine h so that -3*h**3 - 288*h**2 + 4827*h - 18648 = 0.
-111, 7, 8
Factor i**2/4 - 293*i + 1171/4.
(i - 1171)*(i - 1)/4
Factor -3*k**2/4 + 97455*k - 389817/4.
-3*(k - 129939)*(k - 1)/4
Solve -2*h**3/15 - 1340*h**2 - 16840448*h/5 - 100962304/15 = 0 for h.
-5024, -2
Factor 4*o**2 + 2856*o - 26028.
4*(o - 9)*(o + 723)
Solve 6*i**5 + 4904*i**4 - 22982*i**3 + 27936*i**2 - 9864*i = 0 for i.
-822, 0, 2/3, 1, 3
Factor 865*f**2/3 + 1442*f + 5/3.
(f + 5)*(865*f + 1)/3
Suppose -4*a**5 + 220*a**4 + 224*a**3 = 0. What is a?
-1, 0, 56
Factor t**5 + 1481*t**4 - 29924*t**3 + 143920*t**2 - 264064*t + 168112.
(t - 14)*(t - 2)**3*(t + 1501)
Factor -w**5 + 5*w**4 + 21*w**3 - 53*w**2 + 28*w.
-w*(w - 7)*(w - 1)**2*(w + 4)
Suppose 4*b**2 - 11736*b + 8608356 = 0. Calculate b.
1467
Suppose -4*d**5/5 + 19*d**4/5 + 112*d**3/5 - 709*d**2/5 + 942*d/5 - 72 = 0. What is d?
-6, 3/4, 1, 4, 5
Let 5*q**4 - 17940*q**3 - 3682800*q**2 - 245939760*q - 5442299280 = 0. Calculate q.
-66, 3786
Find a such that 2*a**2/9 + 13450*a/9 - 13456/3 = 0.
-6728, 3
Find d, given that -64*d**5 + 3232*d**4 + 2044*d**3 - 21208*d**2 + 10020*d - 1224 = 0.
-3, 1/4, 2, 51
Factor -g**3/5 + 19019*g**2/5 - 90440099*g/5 + 90421081/5.
-(g - 9509)**2*(g - 1)/5
Solve 13*p**2/5 - 763*p/5 - 236/5 = 0.
-4/13, 59
Suppose -37*p**4/11 + 8137*p**3/11 - 14917*p**2/11 - 122253*p/11 - 9810/11 = 0. Calculate p.
-3, -3/37, 5, 218
What is j in 2*j**3/15 - 3958*j**2/15 + 19604*j/5 + 70704/5 = 0?
-3, 18, 1964
Factor m**2/5 - 297*m/5 + 21942/5.
(m - 159)*(m - 138)/5
Suppose -3*a**3/4 - 30540*a**2 + 733041*a/4 - 549801/2 = 0. Calculate a.
-40726, 3
Factor 325*y**3 - 305510*y**2 + 71801900*y - 2209000.
5*(y - 470)**2*(65*y - 2)
Find i such that -2*i**2/7 + 106236*i/7 + 212480/7 = 0.
-2, 53120
Let -2*m**2/5 - 718*m/5 + 2400 = 0. Calculate m.
-375, 16
Factor a**2/8 + 573*a/8 + 569/2.
(a + 4)*(a + 569)/8
Find b, given that -5*b**5/4 - 559*b**4/4 - 1993*b**3/4 + 6331*b**2/4 - 2211*b/2 + 162 = 0.
-108, -6, 1/5, 1
Factor -2*p**2/7 - 768*p/7 - 5778.
-2*(p + 63)*(p + 321)/7
Solve 215*n**4 - 1150*n**3 + 160*n**2 + 1150*n - 375 = 0.
-1, 15/43, 1, 5
Let 4*v**3 - 3988*v**2 + 66568*v + 70560 = 0. Calculate v.
-1, 18, 980
Factor -k**3/4 - 7*k**2/4 + 780*k - 15075.
-(k - 30)**2*(k + 67)/4
Factor 2*u**3/7 + 34*u**2/7 - 440*u/7 - 1000/7.
2*(u - 10)*(u + 2)*(u + 25)/7
Let 146*s**2/13 + 206*s/13 + 60/13 = 0. What is s?
-1, -30/73
Suppose -s**2/7 + 15429*s + 324018/7 = 0. Calculate s.
-3, 108006
Suppose -3*f**3/2 - 474*f**2 - 3753*f/2 - 1404 = 0. Calculate f.
-312, -3, -1
Find g such that g**3/3 - 32855*g**2 = 0.
0, 98565
Solve -4*z**2/7 + 2904*z - 3689532 = 0 for z.
2541
Factor -139991486044*f**4 + 3081439008*f**3 - 22609152*f**2 + 55296*f.
-4*f*(3271*f - 24)**3
Factor 5*o**4/6 + 4535*o**3/2 + 2058885*o**2 + 625887450*o + 1859193540.
5*(o + 3)*(o + 906)**3/6
Find v such tha