53*j**3/4 - 83635*j**2/8 - 26137*j/2 - 10455/2 = 0.
-2, -1, 20910
Factor i**3/5 - 24*i**2/5 - 829*i/5 - 2244/5.
(i - 44)*(i + 3)*(i + 17)/5
Find i such that 196*i**3 - 3411884*i**2 + 1949600*i - 278512 = 0.
2/7, 17407
Let -z**3/4 - 2095*z**2/4 - 1106623*z/4 - 9790641/4 = 0. Calculate z.
-1043, -9
Let -32*w**5 - 11376*w**4 + 63326*w**3 - 75738*w**2 + 25992*w = 0. What is w?
-361, 0, 3/4, 4
What is l in -5*l**4/6 + 74917*l**3/6 - 104873*l**2/6 - 4995*l/2 + 7491 = 0?
-3/5, 1, 14982
Factor -3*m**3/7 - 36*m**2/7 + 6777*m/7 + 13674/7.
-3*(m - 43)*(m + 2)*(m + 53)/7
Suppose m**3 + 15*m**2 + 47*m + 33 = 0. Calculate m.
-11, -3, -1
Find w such that 2*w**4/9 - 2210*w**3/9 + 202396*w**2/3 + 1837064*w/9 + 1227664/9 = 0.
-2, -1, 554
Factor -k**5/9 + 473*k**4/9 - 54731*k**3/9 - 285605*k**2/9.
-k**2*(k - 239)**2*(k + 5)/9
Let -w**2/9 + 20914*w/3 = 0. What is w?
0, 62742
Solve -2*n**5/7 - 19638*n**4/7 + 5612*n**3 - 4*n**2/7 - 39282*n/7 + 2806 = 0 for n.
-9821, -1, 1
Determine w, given that -28*w**4 - 524*w**3 - 296*w**2 + 1136*w - 288 = 0.
-18, -2, 2/7, 1
Let -2*u**4/3 + 616*u**3/3 - 50362*u**2/3 + 444020*u/3 = 0. What is u?
0, 10, 149
Let 5*q**4 + 13880*q**3 + 9728985*q**2 + 133059350*q - 305145760 = 0. Calculate q.
-1381, -16, 2
Find j, given that j**2/4 - 3*j - 405/4 = 0.
-15, 27
Determine q, given that -12*q**5 - 22492*q**4 - 231320*q**3 - 342160*q**2 + 1521312*q + 536832 = 0.
-1864, -6, -1/3, 2
Suppose i**3/6 - 79*i**2/6 + 255*i = 0. What is i?
0, 34, 45
Solve 55*w**5 + 70*w**4 - 7850*w**3 + 26400*w**2 - 13005*w - 5670 = 0 for w.
-14, -3/11, 1, 3, 9
Suppose -r**4/4 + 61*r**3/2 - 5361*r**2/4 + 25010*r - 168100 = 0. Calculate r.
20, 41
Solve 2*f**4/15 - 99014*f**3/15 + 198004*f**2/15 + 158416*f/3 = 0 for f.
-2, 0, 4, 49505
Determine u, given that u**4/3 - 32*u**3 + 2506*u**2/3 - 6232*u - 21299/3 = 0.
-1, 19, 59
Let -34*c**3 + 292124*c**2 + 34368*c = 0. Calculate c.
-2/17, 0, 8592
Find h such that 2*h**4 + 4484*h**3 + 2557522*h**2 + 49372840*h = 0.
-1111, -20, 0
Find y such that -y**3/5 + 3299*y**2/5 + 1982*y - 13208/5 = 0.
-4, 1, 3302
Factor -3*g**4/2 - 825*g**3 - 226875*g**2/2.
-3*g**2*(g + 275)**2/2
Factor -u**3/4 - 5199*u**2/4 - 2599*u/2.
-u*(u + 1)*(u + 5198)/4
Suppose -m**4 + 79*m**3 + 255*m**2 - 743*m + 410 = 0. Calculate m.
-5, 1, 82
Suppose 2*r**5 - 102*r**4 + 564*r**3 - 1096*r**2 + 720*r = 0. What is r?
0, 2, 45
Factor 35*k**2 + 1131350*k + 323240.
5*(k + 32324)*(7*k + 2)
Factor 13*c**3/4 - 443*c**2/2 - 421*c + 70.
(c - 70)*(c + 2)*(13*c - 2)/4
Solve 2*p**3 + 226654*p**2 + 6421391136*p - 6421617792 = 0.
-56664, 1
Factor 3*k**2 - 53712*k + 644112.
3*(k - 17892)*(k - 12)
Solve 3*j**2 - 473136*j + 18654806208 = 0 for j.
78856
Determine z, given that 3368*z**2 + 19876*z - 1992 = 0.
-6, 83/842
Determine d so that 2*d**4/17 - 4010*d**3/17 + 11724*d**2 = 0.
0, 51, 1954
Find n such that 9*n**4/5 - 534*n**3/5 + 4824*n**2/5 + 3456*n/5 = 0.
-2/3, 0, 12, 48
Find g such that -3*g**4 + 1731*g**3 - 28608*g**2 + 26880*g = 0.
0, 1, 16, 560
Factor -h**3/4 - 26*h**2 + 2389*h/4 - 2821.
-(h - 13)*(h - 7)*(h + 124)/4
Solve -2*g**4 + 1964*g**3 + 27790*g**2 + 97536*g + 71712 = 0 for g.
-9, -4, -1, 996
Factor -2*x**3/19 + 13524*x**2/19 + 1424*x.
-2*x*(x - 6764)*(x + 2)/19
Find j such that 2*j**3/15 - 4868*j**2/15 + 2952418*j/15 + 11887688/15 = 0.
-4, 1219
Factor -2*k**4 - 1208*k**3 - 197098*k**2 - 4343092*k.
-2*k*(k + 26)*(k + 289)**2
Suppose 5*z**2 + 2630*z + 18165 = 0. Calculate z.
-519, -7
Suppose -2*q**5/17 - 790*q**4/17 - 109056*q**3/17 - 5876496*q**2/17 - 69293664*q/17 + 2156847264/17 = 0. What is q?
-138, -66, 13
Solve -5*n**2 + 23590*n + 47200 = 0 for n.
-2, 4720
Factor -2*f**2/5 - 399788*f/5 - 19978805618/5.
-2*(f + 99947)**2/5
Find q such that 3*q**2/4 - 4377*q/4 + 3276 = 0.
3, 1456
Let -2*p**3/7 - 7228*p**2/7 - 927744*p + 65666880/7 = 0. Calculate p.
-1812, 10
Solve -1835*k**2 + 853300*k - 11625 = 0.
5/367, 465
Factor r**4/5 + 112348*r**3/5 + 674064*r**2/5 + 1348112*r/5 + 898736/5.
(r + 2)**3*(r + 112342)/5
What is q in -q**4 + 8527*q**3 - 24230889*q**2 + 22930475213*q + 45957942214 = 0?
-2, 2843
Solve -1638400*p**3/3 - 1640960*p**2/3 - 2561*p/3 - 1/3 = 0 for p.
-1, -1/1280
Determine i, given that 3*i**5 + 5340*i**4 + 2381631*i**3 + 4741926*i**2 = 0.
-889, -2, 0
Factor 5*t**3 + 4950*t**2 + 19720*t.
5*t*(t + 4)*(t + 986)
Determine i, given that -40*i**5 - 410*i**4 + 69385*i**3 - 152140*i**2 - 170775*i + 51120 = 0.
-48, -1, 1/4, 3, 71/2
What is x in -x**2/6 - 8639*x - 223896963/2 = 0?
-25917
Let -3*q**4 - 1029*q**3 - 1014*q**2 + 4116*q + 4104 = 0. What is q?
-342, -2, -1, 2
What is p in 2*p**5/13 + 698*p**4/13 - 2818*p**3/13 + 2126*p**2/13 + 2816*p/13 - 2824/13 = 0?
-353, -1, 1, 2
Factor -2172*k**2 + 8696*k - 32.
-4*(k - 4)*(543*k - 2)
Find p such that -4*p**3 - 22300*p**2 + 357892*p + 380188 = 0.
-5591, -1, 17
Solve -15*j**4/8 + 4059*j**3/4 + 47487*j**2/8 + 27909*j/4 - 1641 = 0.
-4, -2, 1/5, 547
Factor -4*y**2 - 136*y - 1120.
-4*(y + 14)*(y + 20)
Find o, given that -2*o**5 - 94*o**4 - 658*o**3 + 8206*o**2 - 18540*o + 11088 = 0.
-33, -21, 1, 2, 4
Find o such that o**4 - 1464*o**3 - 8817*o**2 - 4420*o + 14700 = 0.
-5, -2, 1, 1470
What is s in s**5/4 + 75*s**4/4 + 332*s**3 + 1302*s**2 - 1332*s - 5508 = 0?
-51, -18, -6, -2, 2
Solve d**4/6 + 529*d**3/6 - 893*d**2 + 8608*d/3 - 8624/3 = 0.
-539, 2, 4
Let -2*q**3 + 12970*q**2 - 21098766*q + 230519718 = 0. What is q?
11, 3237
Let 3*z**4 + 228*z**3 - 18378*z**2 - 228*z + 18375 = 0. Calculate z.
-125, -1, 1, 49
Factor -3820*x**3 - 61128*x**2 - 244608*x - 512.
-4*(x + 8)**2*(955*x + 2)
Solve -6*a**2/11 + 230826*a/11 + 230832/11 = 0 for a.
-1, 38472
Solve -v**4 + 9013*v**3 - 20276966*v**2 - 142326580*v - 122040600 = 0 for v.
-6, -1, 4510
Solve -3*y**2 - 3049512*y - 774960286512 = 0.
-508252
Determine v, given that -2*v**5 + 126*v**4 + 260*v**3 - 8896*v**2 + 28992*v - 20480 = 0.
-10, 1, 4, 64
Suppose -2*u**2/17 + 1802720*u/17 - 406224924800/17 = 0. Calculate u.
450680
Find s such that -2*s**3/7 - 330*s**2/7 + 20250*s/7 - 268750/7 = 0.
-215, 25
Solve -5*x**5 + 37760*x**4 - 72851160*x**3 + 5862081280*x**2 - 11433059920*x = 0 for x.
0, 2, 82, 3734
Let 23*i**4/5 - 76*i**3/5 + 67*i**2/5 - 14*i/5 = 0. What is i?
0, 7/23, 1, 2
Factor -5*a**4 + 20765*a**3.
-5*a**3*(a - 4153)
Determine y so that -y**5/5 + 313*y**4/5 - 3061*y**3/5 + 9423*y**2/5 - 1818*y = 0.
0, 2, 3, 5, 303
Let 9*v**5 + 129*v**4 + 375*v**3 - 321*v**2 - 1764*v - 540 = 0. What is v?
-10, -3, -1/3, 2
Find t such that -5*t**3 + 65*t**2 + 400*t - 1020 = 0.
-6, 2, 17
Factor 4*d**2 + 62672*d - 62676.
4*(d - 1)*(d + 15669)
Suppose -m**2 - 1555*m/2 = 0. Calculate m.
-1555/2, 0
Suppose b**3/5 + 948*b**2/5 - 3671*b + 17406/5 = 0. Calculate b.
-967, 1, 18
Find p, given that 26*p**2/5 + 342*p/5 - 252 = 0.
-210/13, 3
Suppose p**5 + 31*p**4 - 413*p**3 + 17*p**2 + 5936*p + 8036 = 0. What is p?
-41, -2, 7
Factor w**2/4 - 227489*w/2 - 454979/4.
(w - 454979)*(w + 1)/4
Let n**3/3 + 56*n**2/3 + 228*n = 0. What is n?
-38, -18, 0
Factor -2*m**4/7 + 304*m**3 - 51950*m**2/7.
-2*m**2*(m - 1039)*(m - 25)/7
Factor 5*c**4 + 990*c**3 + 10460*c**2 + 32850*c + 23375.
5*(c + 1)*(c + 5)**2*(c + 187)
Solve -o**5/7 + 16*o**4/7 - 38*o**3/7 - 16*o**2/7 + 39*o/7 = 0 for o.
-1, 0, 1, 3, 13
Factor -2*s**4 - 40228*s**3 - 202366938*s**2 - 808985080*s - 808824200.
-2*(s + 2)**2*(s + 10055)**2
Solve 4*m**4/5 + 127896*m**3/5 + 51156*m**2 + 127888*m/5 = 0 for m.
-31972, -1, 0
Solve -p**3/7 + 499*p**2 + 205117*p/7 + 2986391/7 = 0.
-29, 3551
What is j in -2*j**2 + 63108*j - 630880 = 0?
10, 31544
Factor 3*x**2 - 727272*x - 1454556.
3*(x - 242426)*(x + 2)
Factor 2*s**3/3 - 96848*s**2/5 - 193706*s/5 - 290564/15.
2*(s + 1)**2*(5*s - 145282)/15
Factor -u**3 + 12*u**2 + 69*u - 80.
-(u - 16)*(u - 1)*(u + 5)
Solve -46*w**4 - 150516*w**3 - 122981254*w**2 + 235845864*w + 21438152 = 0 for w.
-1637, -2/23, 2
Let -36*s**2/5 + 18388*s/5 + 4088/5 = 0. Calculate s.
-2/9, 511
Factor -y**4/8 - 13*y**3/2 + 55*y**2/2 - 28*y.
-y*(y - 2)**2*(y + 56)/8
Factor -a**3/2 + 41167*a**2 - 164665*a/2 + 41166.
-(a - 82332)*(a - 1)**2/2
Factor 4*s**4 + 880*s**3 + 60492*s**2 + 1244576*s + 1184960.
4*(s + 1)*(s + 35)*(s + 92)**2
Factor 4*g**2/7 - 68*g - 20064/7.
4*(g - 152)*(g + 33)/7
Factor n**2 - 2771*n - 75546.
(n - 2798)*(n + 27)
Factor -3*s*