 -s**5 - 16*s**4 - 10*s**3 + 72*s**2 - 45*s = 0.
-15, -3, 0, 1
Let -6*t**2/17 + 4*t/17 + 16/17 = 0. Calculate t.
-4/3, 2
Factor -4*k**4 - 20*k**3 - 16*k**2.
-4*k**2*(k + 1)*(k + 4)
Factor y**3/3 + 23*y**2/3 + 40*y - 48.
(y - 1)*(y + 12)**2/3
Determine i, given that -3*i**4 + 10*i**3 - 7*i**2 - 4*i + 4 = 0.
-2/3, 1, 2
Find y such that -5*y**4 + 1230*y**3 - 76865*y**2 + 150060*y - 74420 = 0.
1, 122
What is o in -8*o**2/3 + 868*o/3 + 436/3 = 0?
-1/2, 109
Solve j**3 + 49*j**2 + 344*j + 656 = 0.
-41, -4
Factor 3*y**4 + 21*y**3 + 12*y**2 - 36*y.
3*y*(y - 1)*(y + 2)*(y + 6)
Factor i**4/2 - 5*i**3/2 + 2*i**2.
i**2*(i - 4)*(i - 1)/2
Factor -4*q**2 + 4*q + 48.
-4*(q - 4)*(q + 3)
Let 2*k**2/3 + 370*k/3 + 600 = 0. Calculate k.
-180, -5
Factor 5*m**4 + 140*m**3 + 640*m**2 - 5120*m.
5*m*(m - 4)*(m + 16)**2
Factor -2*d**3/5 + 28*d**2/5 - 22*d/5 - 52/5.
-2*(d - 13)*(d - 2)*(d + 1)/5
Factor 4*y**5 + 8956*y**4 + 4999660*y**3 - 15079692*y**2.
4*y**2*(y - 3)*(y + 1121)**2
Determine l, given that -l**2/5 - 81*l/5 - 16 = 0.
-80, -1
Solve -3*c**5/4 + 81*c**4 + 3*c**3/2 - 162*c**2 - 3*c/4 + 81 = 0.
-1, 1, 108
Solve 785*v**2 - 3935*v + 50 = 0 for v.
2/157, 5
Factor -w**3/2 - 2*w**2 + 15*w/2 + 9.
-(w - 3)*(w + 1)*(w + 6)/2
Factor 18*d**4 + 68*d**3 + 74*d**2 + 16*d - 8.
2*(d + 1)**2*(d + 2)*(9*d - 2)
Let -x**2 - 135*x + 136 = 0. Calculate x.
-136, 1
Find d, given that 6*d**5/5 - 4*d**4/5 - 6*d**3/5 + 4*d**2/5 = 0.
-1, 0, 2/3, 1
Factor -3*q**2 + 21*q - 18.
-3*(q - 6)*(q - 1)
Factor 48*a**3 - 696*a**2 + 963*a - 351.
3*(a - 13)*(4*a - 3)**2
Solve -v**4/3 - 338*v**3 - 86019*v**2 - 509036*v/3 + 256036 = 0.
-506, -3, 1
Factor -6*x**4/7 + 2*x**3/7 + 22*x**2/7 + 2*x.
-2*x*(x + 1)**2*(3*x - 7)/7
Factor j**4/3 + 5*j**3/3 - 47*j**2/3 - 35*j - 18.
(j - 6)*(j + 1)**2*(j + 9)/3
Factor 5*n**2 + 7*n - 6.
(n + 2)*(5*n - 3)
Solve 22*h**3/7 + 744*h**2/7 + 6222*h/7 - 1156/7 = 0.
-17, 2/11
Factor f**3/2 - 3*f/2 - 1.
(f - 2)*(f + 1)**2/2
Solve 11*w**4/5 - 46*w**3/5 + 52*w**2/5 - 8*w/5 = 0.
0, 2/11, 2
Solve f**2/2 - 41*f/2 = 0 for f.
0, 41
What is v in v**3 - 5784*v**2 + 11151552*v - 7166730752 = 0?
1928
Solve -2*x**2/3 + 76*x/3 - 722/3 = 0 for x.
19
Let -3*c**2 - 693*c - 690 = 0. Calculate c.
-230, -1
Factor 4*l**3 - 13608*l**2 + 15431472*l - 5833096416.
4*(l - 1134)**3
Suppose 5*o**2 + 5380*o + 1447220 = 0. Calculate o.
-538
Factor -2*f**4 + 24*f**3 - 64*f**2 - 96*f + 288.
-2*(f - 6)**2*(f - 2)*(f + 2)
Suppose 25*r**4/2 + 65*r**3/4 + 3*r**2/4 - 4*r - 1 = 0. What is r?
-1, -2/5, 1/2
Determine w so that 20*w**2 - 156*w - 32 = 0.
-1/5, 8
What is w in w**2 - 11*w + 18 = 0?
2, 9
Factor -2*u**2 + 122*u + 124.
-2*(u - 62)*(u + 1)
Let k**3 = 0. What is k?
0
Factor -627*j**2/2 - 1893*j/2 - 18.
-3*(j + 3)*(209*j + 4)/2
Factor -y**2 - 259*y - 258.
-(y + 1)*(y + 258)
Factor 3*m**2 + 255*m + 1422.
3*(m + 6)*(m + 79)
Determine t so that 3*t**3 + 168*t**2 + 165*t = 0.
-55, -1, 0
Factor -5*n**3 - 135*n**2 + 150*n + 280.
-5*(n - 2)*(n + 1)*(n + 28)
What is l in 12*l**3 + 9*l**2 - 507*l + 126 = 0?
-7, 1/4, 6
Factor 2*y**3/5 + 54*y**2/5 + 96*y + 280.
2*(y + 7)*(y + 10)**2/5
Solve -5*k**5 + 25*k**4 + 15*k**3 - 65*k**2 - 50*k = 0.
-1, 0, 2, 5
Find l such that 9*l**5 - 850*l**4 + 60758*l**3/3 - 25288*l**2/3 - 28529*l/3 - 4418/3 = 0.
-1/3, -2/9, 1, 47
Determine y, given that 2*y**4/5 + 14*y**3/5 - 90*y**2 + 1498*y/5 + 392 = 0.
-20, -1, 7
Factor 2*c**3/19 - 2*c**2/19.
2*c**2*(c - 1)/19
Determine n, given that 4*n**2 + 15304*n + 14638276 = 0.
-1913
Find l, given that 2*l**3 - 874*l**2 - 876*l = 0.
-1, 0, 438
Determine s, given that 28*s**5 + 64*s**4 - 768*s**3 + 1064*s**2 - 220*s - 168 = 0.
-7, -2/7, 1, 3
Solve -2*t**4/3 + 6*t**3 - 12*t**2 = 0.
0, 3, 6
Factor -50*b**3 - 560*b**2 - 858*b + 4356.
-2*(b - 2)*(5*b + 33)**2
Factor -2*s**3/13 - 288*s**2/13 - 22*s.
-2*s*(s + 1)*(s + 143)/13
Solve -3*z**5 - 9*z**4 + 15*z**3 + 9*z**2 - 12*z = 0.
-4, -1, 0, 1
Solve 14*l**5 - 108*l**4 - 172*l**3 + 72*l**2 + 158*l + 36 = 0.
-1, -2/7, 1, 9
Factor g**2/8 + 213*g/8.
g*(g + 213)/8
Let -3*r**2/2 - 81*r/2 - 39 = 0. What is r?
-26, -1
Factor -2*j**5/11 - 612*j**4/11 - 610*j**3/11.
-2*j**3*(j + 1)*(j + 305)/11
Determine f, given that -4*f**3/5 + 384*f**2 - 232308*f/5 + 456968/5 = 0.
2, 239
Suppose -5*a**3/2 - 9*a**2/2 + a = 0. Calculate a.
-2, 0, 1/5
Factor -r**4/5 + 332*r**3/5 - 7392*r**2 + 280720*r - 532400.
-(r - 110)**3*(r - 2)/5
Let 3*l**5 + 93*l**4 - 9*l**3 - 273*l**2 + 186*l = 0. Calculate l.
-31, -2, 0, 1
Let -v**4 + 4*v**3 + 6*v**2 - 4*v - 5 = 0. Calculate v.
-1, 1, 5
Factor -36*i**4/5 - 192*i**3/5 - 352*i**2/5 - 256*i/5 - 64/5.
-4*(i + 2)**2*(3*i + 2)**2/5
Let -2*v**3/5 + 234*v**2/5 - 9072*v/5 + 23328 = 0. Calculate v.
36, 45
Factor -3*f**3 + 3*f**2 + 195*f - 675.
-3*(f - 5)**2*(f + 9)
Factor 3*p**2/5 - 6*p/5 - 9.
3*(p - 5)*(p + 3)/5
Let -63*d**5 - 57*d**4 + 30*d**3 + 24*d**2 = 0. What is d?
-1, -4/7, 0, 2/3
Suppose 2*q**5 + 18*q**4 + 36*q**3 - 44*q**2 - 102*q + 90 = 0. What is q?
-5, -3, 1
Find z such that 3*z**4/5 - 54*z**3/5 + 324*z**2/5 - 714*z/5 + 441/5 = 0.
1, 3, 7
Solve 3*k**2 + 108*k + 609 = 0 for k.
-29, -7
Suppose 3*s**3/5 - 117*s**2 + 582*s/5 = 0. What is s?
0, 1, 194
Factor -261*c**5/7 + 258*c**4/7 + 3*c**3/7.
-3*c**3*(c - 1)*(87*c + 1)/7
Factor h**2/4 + 31*h + 123/4.
(h + 1)*(h + 123)/4
Find b, given that 12*b**3 - 51*b**2 - 528*b + 135 = 0.
-5, 1/4, 9
Factor 5*h**2 - 38880*h.
5*h*(h - 7776)
What is d in -d**5/4 + 53*d**4/4 + 223*d**3/4 + 283*d**2/4 + 57*d/2 = 0?
-2, -1, 0, 57
Find g such that g**2/6 + 55*g/6 - 29 = 0.
-58, 3
Solve p**4 - 2*p**3 - 8*p**2 + 18*p - 9 = 0 for p.
-3, 1, 3
Factor -j**5 + 16*j**4 - 24*j**3 - 64*j**2 + 112*j.
-j*(j - 14)*(j - 2)**2*(j + 2)
Factor 4*j**2 - 22*j - 12.
2*(j - 6)*(2*j + 1)
Suppose s**2/7 - 9*s/7 - 10/7 = 0. Calculate s.
-1, 10
Factor 3*a**2 - 21*a.
3*a*(a - 7)
Let k**5 + 3*k**4 - 5*k**3 - 3*k**2 + 4*k = 0. Calculate k.
-4, -1, 0, 1
Solve -4*w**5 + 48*w**4 + 128*w**3 - 216*w**2 - 124*w + 168 = 0.
-3, -1, 1, 14
Factor -v**3/4 - 23*v**2/4 + 41*v/2 + 26.
-(v - 4)*(v + 1)*(v + 26)/4
Find a, given that 3*a**4/5 + 9*a**3 + 144*a**2/5 + 132*a/5 = 0.
-11, -2, 0
Factor 3*z**2/5 + 114*z/5.
3*z*(z + 38)/5
Determine k, given that -2*k**2/15 + 106*k/15 - 32 = 0.
5, 48
Solve -r**3/5 - 9*r**2/5 - 8*r/5 = 0.
-8, -1, 0
Factor b**3 - 234*b**2.
b**2*(b - 234)
Factor 15*q**3/2 + 3*q**2 - 30*q - 12.
3*(q - 2)*(q + 2)*(5*q + 2)/2
Factor 3*x**2/2 + 7725*x + 19891875/2.
3*(x + 2575)**2/2
Suppose -5*y**2 - 120*y + 2405 = 0. Calculate y.
-37, 13
Solve -15*f**4 - 126*f**3 - 219*f**2 + 468*f + 1188 = 0 for f.
-22/5, -3, 2
Let 2*r**4/19 + 74*r**3/19 + 720*r**2/19 + 648*r/19 = 0. What is r?
-18, -1, 0
Factor -3*m**2/2 + 29*m/2 + 5.
-(m - 10)*(3*m + 1)/2
Let 2*d**5 - 20*d**4 - 46*d**3 - 24*d**2 = 0. Calculate d.
-1, 0, 12
Suppose -14*x**2/13 - 430*x/13 + 124/13 = 0. What is x?
-31, 2/7
Factor 2*c**3 - 36*c**2 - 80*c.
2*c*(c - 20)*(c + 2)
Solve 2*u**4/17 + 120*u**3/17 - 390*u**2/17 - 740*u/17 + 1008/17 = 0.
-63, -2, 1, 4
Determine q, given that 15*q**5/2 + 179*q**4/2 - 222*q**3 - 56*q**2 + 192*q - 56 = 0.
-14, -1, 2/5, 2/3, 2
Suppose 2*v**2/11 - 32*v/11 - 384/11 = 0. What is v?
-8, 24
Factor 3*a**2 - 2448*a + 7317.
3*(a - 813)*(a - 3)
Suppose 2*r**5 - 16*r**4 + 26*r**3 + 44*r**2 - 64*r - 64 = 0. Calculate r.
-1, 2, 4
Let 27*m**5 - 79*m**4 + 75*m**3 - 21*m**2 - 2*m = 0. Calculate m.
-2/27, 0, 1
Factor -a**2 + 490*a + 491.
-(a - 491)*(a + 1)
Solve 2*b**5 + 48*b**4 + 286*b**3 - 48*b**2 - 288*b = 0 for b.
-12, -1, 0, 1
Factor -3*p**2/5 - 498*p - 103335.
-3*(p + 415)**2/5
Factor 2*k**5 - 2*k**3.
2*k**3*(k - 1)*(k + 1)
Find v, given that -v**3/5 + 72*v**2/5 - 272*v/5 = 0.
0, 4, 68
What is h in -12*h**3 + 93*h**2 - 33*h - 210 = 0?
-5/4, 2, 7
Factor 2*l**3/13 + 60*l**2/13 + 306*l/13 - 2312/13.
2*(l - 4)*(l + 17)**2/13
Find g, given that 110*g**2 + 116*g + 6 = 0.
-1, -3/55
Let 56*y**2/9 - 2*y/9 = 0. Calculate y.
0, 1/28
What is r in 2*r**2 - 19308*r + 46599858 = 0?
4827
Solve 2*v**5/7 + 22*v**4/7 + 66*v**3/7 + 74*v**2/7 + 4*v = 0 for v.
-7, -2, -1, 0
Determine c so that c**4/4 + 41*c**3/2 - 1368*c**2 + 23936*c - 133120 = 0.
-130, 16
What is v in -2*v**3 + 378*v**2 + 762*v + 382 = 0?
-1, 191
Find o such that 4*o**2 + 56*o - 288 = 0.
-18, 4
Solve 2*o**2/7 - 248*o + 53816 = 0.
434
What is g in 2*g**2/9 - 1048*g/