 that 34*n**2 - 42*n + 8 = 0.
4/17, 1
Solve -3*l**2/5 - 18*l/5 - 3 = 0 for l.
-5, -1
Find j such that j**5/6 + 2*j**4/3 - 8*j**2/3 - 8*j/3 = 0.
-2, 0, 2
Factor 3*s**2/5 - 321*s/5.
3*s*(s - 107)/5
Solve -35*k**5 + 45*k**4 + 445*k**3 - 165*k**2 - 410*k + 120 = 0 for k.
-3, -1, 2/7, 1, 4
Factor -r**3/2 - 5*r**2 - 21*r/2.
-r*(r + 3)*(r + 7)/2
What is i in 4*i**4 + 168*i**3 + 1764*i**2 = 0?
-21, 0
Determine o so that 18*o**4 + 2*o**3 - 18*o**2 - 2*o = 0.
-1, -1/9, 0, 1
Solve 4*i**5/7 - 8*i**4 + 40*i**3/7 + 176*i**2/7 - 268*i/7 + 104/7 = 0 for i.
-2, 1, 13
Let 5*f**4 + 65*f**3 + 280*f**2 + 400*f = 0. What is f?
-5, -4, 0
Factor -4*i**3/3 + 44*i**2/3 + 680*i/3 - 1056.
-4*(i - 18)*(i - 4)*(i + 11)/3
Suppose 7*w**5/10 + 55*w**4/2 + 2857*w**3/10 + 2789*w**2/10 - 2242*w/5 - 722/5 = 0. Calculate w.
-19, -2, -2/7, 1
Let 12*h**5 - 16*h**4 - 8*h**3 + 16*h**2 - 4*h = 0. What is h?
-1, 0, 1/3, 1
Factor 3*c**5/4 - 1279*c**4/4 + 213*c**3/2.
c**3*(c - 426)*(3*c - 1)/4
Suppose 3*t**5/4 - 29*t**4/4 + 31*t**3/2 + 27*t**2/2 - 65*t/4 - 25/4 = 0. What is t?
-1, -1/3, 1, 5
Suppose 33*a**3 - 81*a**2 + 30*a = 0. What is a?
0, 5/11, 2
What is m in 8*m**3 + 2*m**2 - 10*m = 0?
-5/4, 0, 1
Let -4*g**4 + 24*g**3 + 60*g**2 + 32*g = 0. Calculate g.
-1, 0, 8
Factor -o**2 - 4080*o - 4161600.
-(o + 2040)**2
Let -9*q**4 + 237*q**3 - 1914*q**2 + 5148*q - 1512 = 0. What is q?
1/3, 6, 14
Factor 26*b**2/5 - 722*b/5 - 168/5.
2*(b - 28)*(13*b + 3)/5
Solve -3*y**5/5 + 1293*y**4/5 + 1308*y**3/5 - 5172*y**2/5 - 5184*y/5 = 0 for y.
-2, -1, 0, 2, 432
Factor -4*r**3 + 12*r**2 - 8*r.
-4*r*(r - 2)*(r - 1)
Suppose -6*m**4/7 - 33*m**3/7 + 60*m**2/7 - 3*m = 0. Calculate m.
-7, 0, 1/2, 1
Factor -2*i**2 - 90*i - 88.
-2*(i + 1)*(i + 44)
Factor -4*b**3 + 56*b**2 + 124*b + 64.
-4*(b - 16)*(b + 1)**2
Solve d**2 - 164*d + 6724 = 0 for d.
82
Factor 4*s**3/5 - 12*s**2/5 - 16*s/5 + 48/5.
4*(s - 3)*(s - 2)*(s + 2)/5
Solve 21*j**5 + 303*j**4/5 - 678*j**3/5 - 804*j**2/5 + 168*j/5 + 96/5 = 0.
-4, -1, -2/7, 2/5, 2
Determine m so that -m**4 + 33*m**3 - 181*m**2 - 465*m - 250 = 0.
-1, 10, 25
What is w in -w**5 - 5*w**4 + 351*w**3 + 1073*w**2 + 1078*w + 360 = 0?
-20, -1, 18
Let 3*c**2/2 - 18*c + 54 = 0. What is c?
6
Find x, given that 2*x**5 + 24*x**4 - 538*x**3 + 936*x**2 + 536*x - 960 = 0.
-24, -1, 1, 2, 10
Factor 7*g**2 + 366*g + 104.
(g + 52)*(7*g + 2)
Determine d so that 2*d**3 - 902*d**2 + 101248*d + 102152 = 0.
-1, 226
Factor 2*r**3/3 + 858*r**2 + 368082*r + 52635726.
2*(r + 429)**3/3
Factor -2*s**3/3 - 56*s**2/3 + 58*s/3.
-2*s*(s - 1)*(s + 29)/3
Solve r**3/3 + 18*r**2 - 115*r/3 - 56 = 0 for r.
-56, -1, 3
Suppose -15*a**4/2 - 36*a**3 + 333*a**2/2 - 195*a + 72 = 0. What is a?
-8, 1, 6/5
Factor -4*a**5/3 + 152*a**4/3 + 216*a**3 + 992*a**2/3 + 668*a/3 + 56.
-4*(a - 42)*(a + 1)**4/3
Factor x**2 - 138*x/5 - 56/5.
(x - 28)*(5*x + 2)/5
Factor -15*h**2/7 + 54*h.
-3*h*(5*h - 126)/7
Factor l**2/4 - 117*l/4.
l*(l - 117)/4
Factor -18225*f**3 - 15795*f**2 - 4563*f - 2197/5.
-(45*f + 13)**3/5
Let -r**4/4 - 3*r**3/2 + 2*r**2 + 3*r/2 - 7/4 = 0. What is r?
-7, -1, 1
Factor 9*p**3/5 - 6*p**2/5 - 9*p/5 + 6/5.
3*(p - 1)*(p + 1)*(3*p - 2)/5
Factor -5*f**2 - 740*f - 2175.
-5*(f + 3)*(f + 145)
Factor 88*t**4 + 340*t**3 - 48*t**2.
4*t**2*(t + 4)*(22*t - 3)
Let -4*t**3/9 + 692*t**2/9 = 0. What is t?
0, 173
Let 4*i**5 + 94*i**4 + 2217*i**3/4 + 2719*i**2/4 + 967*i/4 + 105/4 = 0. Calculate i.
-15, -7, -1, -1/4
Solve -5*a**2 + 100*a + 1500 = 0.
-10, 30
What is o in -2*o**5/11 - 274*o**4/11 - 272*o**3/11 = 0?
-136, -1, 0
Suppose -14*o**4/17 + 2454*o**3/17 - 5558*o**2/17 + 3810*o/17 - 692/17 = 0. What is o?
2/7, 1, 173
Factor 2*h**2/13 - 34*h/13 + 144/13.
2*(h - 9)*(h - 8)/13
Solve 12*k**4/5 + 14*k**3/5 - 98*k**2 - 1342*k/5 - 42 = 0 for k.
-5, -3, -1/6, 7
Find t, given that 4*t**3 + 84*t**2 - 1204*t + 1116 = 0.
-31, 1, 9
What is m in m**2/3 - 335*m/3 - 1388 = 0?
-12, 347
Factor -2*r**2/3 + 500*r/3 + 502/3.
-2*(r - 251)*(r + 1)/3
Find a such that 3*a**4/7 - 3*a**3 - 339*a**2/7 - 45*a = 0.
-7, -1, 0, 15
Let -4*v**3/5 - 64*v**2 + 2028*v/5 - 3096/5 = 0. What is v?
-86, 3
Factor 3*d**2 + 576*d + 27648.
3*(d + 96)**2
Solve 4*l**5 - 40*l**4 - 12*l**3 + 112*l**2 + 80*l = 0.
-1, 0, 2, 10
Suppose -3*p**4/2 + 3*p**3 + 9*p**2/2 = 0. What is p?
-1, 0, 3
Solve 3*k**5/4 - 105*k**4/4 + 99*k**3/4 + 105*k**2/4 - 51*k/2 = 0.
-1, 0, 1, 34
Factor -5*v**2 + 10980*v - 6028020.
-5*(v - 1098)**2
Find v such that -3*v**5 + 93*v**4/4 - 57*v**3 + 153*v**2/4 + 27*v/2 = 0.
-1/4, 0, 2, 3
Solve 15*d**2 - 28270*d/3 + 6280/3 = 0.
2/9, 628
Factor -2*h**5/13 + 138*h**4/13 - 396*h**3/13.
-2*h**3*(h - 66)*(h - 3)/13
Suppose 26*q**5 - 360*q**4 + 594*q**3 - 212*q**2 - 48*q = 0. What is q?
-2/13, 0, 1, 12
Factor d**2/6 + 112*d/3 + 6272/3.
(d + 112)**2/6
Factor -w**2/4 + 21*w/4.
-w*(w - 21)/4
Factor -y**2/5 - 26*y/5 + 27/5.
-(y - 1)*(y + 27)/5
Factor -3*n**4 - 3*n**3 + 30*n**2 - 24*n.
-3*n*(n - 2)*(n - 1)*(n + 4)
Factor -2*u**4/11 - 2*u**3/11 + 10*u**2/11 - 6*u/11.
-2*u*(u - 1)**2*(u + 3)/11
Factor 3*q**3 - 33*q**2 - 168*q - 180.
3*(q - 15)*(q + 2)**2
Factor 2*i**3 + 646*i**2 - 1952*i + 1304.
2*(i - 2)*(i - 1)*(i + 326)
Suppose 2*a**3 + 360*a**2 + 714*a + 356 = 0. What is a?
-178, -1
Factor 5*a**3 + 400*a**2 + 765*a - 1170.
5*(a - 1)*(a + 3)*(a + 78)
Find p such that -p**2/12 + 83*p/6 - 6889/12 = 0.
83
Factor 5*m**5 - 45*m**3 + 20*m**2 + 60*m.
5*m*(m - 2)**2*(m + 1)*(m + 3)
Let 2*k**2 + 98*k + 656 = 0. What is k?
-41, -8
What is c in c**5/4 - 135*c**4/4 + 4343*c**3/4 + 14835*c**2/4 - 4761*c = 0?
-4, 0, 1, 69
Factor 3*t**5/4 + 1911*t**4/4 + 153591*t**3/2 + 455055*t**2/2 + 906303*t/4 + 301467/4.
3*(t + 1)**3*(t + 317)**2/4
Find s, given that 3*s**4/7 + 201*s**3/7 + 4554*s**2/7 + 36300*s/7 + 31944/7 = 0.
-22, -1
What is d in -45*d**3 - 315*d**2 + 350*d - 80 = 0?
-8, 1/3, 2/3
Factor 5*j**4 - 1270*j**3 - 22720*j**2 - 85770*j + 109755.
5*(j - 271)*(j - 1)*(j + 9)**2
Factor 3*k**2 + 426*k/5 - 261/5.
3*(k + 29)*(5*k - 3)/5
Suppose d**3/9 + 19*d**2/9 + 35*d/9 + 17/9 = 0. What is d?
-17, -1
Find m, given that -3*m**3 - 192*m**2 + 393*m - 198 = 0.
-66, 1
Find w such that -2*w**3/9 - 62*w**2/9 + 68*w/9 + 128/9 = 0.
-32, -1, 2
Solve -2*n**4/3 + 38*n**3/3 - 28*n**2/3 - 152*n/3 + 48 = 0 for n.
-2, 1, 2, 18
Suppose o**3/2 + 5*o**2 + 8*o = 0. Calculate o.
-8, -2, 0
Factor -2*b**4/15 - 1104*b**3/5 - 1367852*b**2/15 + 915216*b/5 - 1374482/15.
-2*(b - 1)**2*(b + 829)**2/15
Suppose -39546*y**4/19 - 36166*y**3/19 - 12402*y**2/19 - 1890*y/19 - 108/19 = 0. Calculate y.
-3/13, -2/9
Factor 3*o**4/2 + 15*o**3/2 - 9*o**2.
3*o**2*(o - 1)*(o + 6)/2
Let -3*u**4 + 99*u**3 + 2082*u**2 + 3744*u = 0. What is u?
-13, -2, 0, 48
Factor -s**2/4 - 19*s/4.
-s*(s + 19)/4
What is x in -x**2/2 - 461*x/2 - 230 = 0?
-460, -1
What is t in -t**3/3 - 44*t**2/3 + 345*t - 1674 = 0?
-62, 9
Let -n**4/4 - 3*n**3 + 27*n**2/4 + 189*n/2 + 162 = 0. What is n?
-12, -3, 6
Factor -x**4 - 6*x**3 + 3*x**2 + 20*x + 12.
-(x - 2)*(x + 1)**2*(x + 6)
Determine c so that 482*c**2 + 8198*c + 68 = 0.
-17, -2/241
Factor -t**2 - 65*t + 66.
-(t - 1)*(t + 66)
Factor 5*l**4 - 2590*l**3 - 5200*l**2.
5*l**2*(l - 520)*(l + 2)
Factor 5*y**3 + 50*y**2 - 115*y - 660.
5*(y - 4)*(y + 3)*(y + 11)
Factor 12*m**3 - 417*m**2 + 702*m - 297.
3*(m - 33)*(m - 1)*(4*m - 3)
Determine q so that -5*q**3 + 810*q**2 - 3955*q + 4710 = 0.
2, 3, 157
Factor 12*z**3 - 140*z**2 - 2112*z + 2240.
4*(z - 20)*(z - 1)*(3*z + 28)
Find x such that -x**4 - 16*x**3 - 47*x**2 + 16*x + 48 = 0.
-12, -4, -1, 1
Solve 318*f**3 - 5727*f**2 + 25812*f - 243 = 0.
1/106, 9
Factor 4*c**3 + 996*c**2 + 62496*c + 61504.
4*(c + 1)*(c + 124)**2
Determine j so that -4*j**3/9 - 80*j**2/3 = 0.
-60, 0
Factor -3*n**2/5 - 2829*n/5 - 5646/5.
-3*(n + 2)*(n + 941)/5
Let 3*z**3 + 69*z**2 - 72*z = 0. Calculate z.
-24, 0, 1
Let -3*b**5 + 36*b**4 - 108*b**3 + 96*b**2 = 0. What is b?
0, 2, 8
Let 3*r**3 - 249*r**2 + 4773*r + 16641 = 0. Calculate r.
-3, 43
Solve 2*y**5/5 + 44*y**4/5 + 344*y**3/5 + 212*y**2 + 110*y - 400 = 0 for y.
-8, -5, 1
Factor x**2/4 + 9*x/2 - 19/4.
(x - 1)*(x + 19)/4
Let 2*b**4/5 - 8*b**3 + 228*b**2/5 - 344*b/5 + 154/5 = 0. Calculate b.
1, 7, 11
Solve h**4/10 - 14*h**3/5 - 3*h**2 + 14*h/5 + 29/10 = 0 for h.
-1, 1, 29
Let -4*y**5 + 52*y**4 - 56*y**3 - 592*y**2 - 480*y = 0. What is y?
-2, -1, 0, 6, 10