v**3/3 - 170*v**2 - 156*v = 0 for v.
-3, -1, 0, 6, 13
Solve 3*g**4 + 105*g**3 - 225*g**2 - 105*g + 222 = 0 for g.
-37, -1, 1, 2
Find s such that 3*s**5 - 15*s**4 + 18*s**3 + 12*s**2 - 24*s = 0.
-1, 0, 2
Suppose 8*t**4 - 236*t**3 + 736*t**2 - 196*t - 312 = 0. Calculate t.
-1/2, 1, 3, 26
Let -2*s**5 - 13*s**4 - 21*s**3 - 2*s**2 + 8*s = 0. Calculate s.
-4, -2, -1, 0, 1/2
Factor -s**2/4 + 29*s/4 + 31/2.
-(s - 31)*(s + 2)/4
Suppose 2*p**4/9 + 124*p**3/3 + 722*p**2/9 - 856*p/3 + 1472/9 = 0. What is p?
-184, -4, 1
Let -3*l**5 - 24*l**4 - 45*l**3 + 12*l**2 + 60*l = 0. Calculate l.
-5, -2, 0, 1
Factor 2*d**3/5 + 938*d**2/5 + 560*d + 1864/5.
2*(d + 1)*(d + 2)*(d + 466)/5
Factor 4*b**4 + 128*b**3 + 124*b**2.
4*b**2*(b + 1)*(b + 31)
Solve 5*r**5 + 15*r**4 - 50*r**3 - 260*r**2 - 360*r - 160 = 0.
-2, -1, 4
Determine v, given that -3*v**4/4 + v**3 + 9*v**2/4 - 3*v/2 - 2 = 0.
-1, 4/3, 2
Suppose -5*j**2 - 245*j - 470 = 0. What is j?
-47, -2
Solve 4*t**5 - 40*t**4 + 156*t**3 - 296*t**2 + 272*t - 96 = 0 for t.
1, 2, 3
Determine a so that a**2/6 - 1/6 = 0.
-1, 1
Factor -4*k**4 + 10532*k**3 - 9240072*k**2 + 2698094000*k + 2707344608.
-4*(k - 878)**3*(k + 1)
Suppose 2*c**5/13 - 504*c**4/13 - 4*c**3/13 + 1008*c**2/13 + 2*c/13 - 504/13 = 0. Calculate c.
-1, 1, 252
Factor 4*q**2 + 3616*q + 817216.
4*(q + 452)**2
Let -4*q**5 + 424*q**4 + 860*q**3 + 432*q**2 = 0. What is q?
-1, 0, 108
Factor -4*a**2 + 11888*a.
-4*a*(a - 2972)
Determine a so that -4*a**3 + 840*a**2 + 852*a - 1688 = 0.
-2, 1, 211
Solve 2*v**4 + 472*v**3 + 41772*v**2 + 1643032*v + 24234722 = 0 for v.
-59
Factor -5*q**3/2 - 150*q**2 - 3000*q - 20000.
-5*(q + 20)**3/2
Find s such that -3*s**4 + 162*s**3 + 888*s**2 - 162*s - 885 = 0.
-5, -1, 1, 59
Determine w so that -w**5 + 5*w**4 - 8*w**3 + 4*w**2 = 0.
0, 1, 2
Find k such that 28*k**2/3 - 80*k/3 + 16 = 0.
6/7, 2
Suppose 2*k**3/7 + 10*k**2/7 + 8*k/7 = 0. What is k?
-4, -1, 0
Determine z so that 14*z**4 - 94*z**3 + 112*z**2 + 40*z = 0.
-2/7, 0, 2, 5
Determine o so that -6*o**3 + 9*o**2 + 27*o - 30 = 0.
-2, 1, 5/2
Factor 36*a**2 - 880*a.
4*a*(9*a - 220)
Determine q so that -4*q**5 - 36*q**4 - 16*q**3 + 144*q**2 + 128*q = 0.
-8, -2, -1, 0, 2
Factor 2*n**2/3 + 1664*n/3 + 346112/3.
2*(n + 416)**2/3
Let -h**3/5 + 1914*h**2/5 = 0. What is h?
0, 1914
Find j, given that 5*j**5/11 + 417*j**4/11 + 2151*j**3/11 + 3539*j**2/11 + 2268*j/11 + 468/11 = 0.
-78, -3, -1, -2/5
Suppose 2*m**4/7 + 72*m**3/7 - 1130*m**2/7 + 1056*m/7 = 0. Calculate m.
-48, 0, 1, 11
Let -4*t**4 + 56*t**3 - 276*t**2 + 576*t - 432 = 0. Calculate t.
2, 3, 6
Determine d, given that 12*d**4 - 687*d**3 - 2757*d**2 + 732*d = 0.
-4, 0, 1/4, 61
Factor -5*n**3/2 + 340*n**2 + 1390*n + 1400.
-5*(n - 140)*(n + 2)**2/2
Let -54*x**5/23 - 3564*x**4/23 - 10386*x**3/23 - 11428*x**2/23 - 5560*x/23 - 1008/23 = 0. What is x?
-63, -1, -2/3
Factor -8*h**3 + 1294*h**2 + 2948*h + 656.
-2*(h - 164)*(h + 2)*(4*h + 1)
Find k, given that -3*k**5 - 18*k**4 - 3*k**3 + 144*k**2 + 276*k + 144 = 0.
-4, -2, -1, 3
Factor f**3 - 16*f.
f*(f - 4)*(f + 4)
Factor s**3 - 17*s**2 + 96*s - 180.
(s - 6)**2*(s - 5)
Factor 2*d**5 - 32*d**4 + 108*d**3 - 152*d**2 + 98*d - 24.
2*(d - 12)*(d - 1)**4
Solve 4*z**3/7 - 44*z**2 + 3872*z/7 + 85184/7 = 0 for z.
-11, 44
Determine c, given that -c**4/4 + 11*c**2/4 - 9*c/2 + 2 = 0.
-4, 1, 2
What is p in -640*p**2 + 32*p - 2/5 = 0?
1/40
Solve a**5 + 7*a**4/5 - 23*a**3/5 + a**2 + 6*a/5 = 0 for a.
-3, -2/5, 0, 1
Determine d so that -155*d**4 - 1540*d**3 + 255*d**2 + 1540*d - 100 = 0.
-10, -1, 2/31, 1
Find l such that -12*l**4 + 40*l**3 + 92*l**2 + 40*l = 0.
-1, -2/3, 0, 5
Solve -25*g**3 - 1915*g**2 - 1130*g + 760 = 0.
-76, -1, 2/5
Factor -2*r**3 + 12884*r**2/7 - 2966080*r/7 + 846400/7.
-2*(r - 460)**2*(7*r - 2)/7
Factor -t**4 - t**3 + 26*t**2 - 24*t.
-t*(t - 4)*(t - 1)*(t + 6)
Suppose 2*g**2 - 142*g + 140 = 0. Calculate g.
1, 70
Factor -4*x**3/3 - 44*x**2/9 + 8*x/3 + 32/9.
-4*(x - 1)*(x + 4)*(3*x + 2)/9
Suppose 2*l**3/7 - 4*l**2 + 130*l/7 - 200/7 = 0. Calculate l.
4, 5
Factor -2*f**2/17 - 8448*f/17 - 8921088/17.
-2*(f + 2112)**2/17
Suppose -9*z**4/4 - 13*z**3 - 33*z**2/4 + 5*z/2 = 0. Calculate z.
-5, -1, 0, 2/9
Determine d, given that -4*d**5/7 + 24*d**4/7 + 40*d**3/7 - 80*d**2/7 - 36*d/7 + 8 = 0.
-2, -1, 1, 7
Solve -3*j**4/2 + 117*j**3/2 - 531*j**2 - 960*j + 3600 = 0 for j.
-3, 2, 20
Factor 5*m**2 - 20*m - 160.
5*(m - 8)*(m + 4)
Determine n so that -14*n**4/9 - 136*n**3/9 - 86*n**2/9 + 4*n = 0.
-9, -1, 0, 2/7
What is z in z**3 + 2656*z**2 + 1763584*z = 0?
-1328, 0
Factor z**2 + 19*z - 20.
(z - 1)*(z + 20)
Factor -2*t**3/7 - 10*t**2/7 + 4*t.
-2*t*(t - 2)*(t + 7)/7
Suppose 5*u**4 - 55*u**3 + 120*u**2 + 20*u - 160 = 0. Calculate u.
-1, 2, 8
Factor -2*v**2/7 - 162*v/7 - 900/7.
-2*(v + 6)*(v + 75)/7
Factor h**5 + 2*h**4 - 3*h**3 - 8*h**2 - 4*h.
h*(h - 2)*(h + 1)**2*(h + 2)
Determine b, given that -325*b**2 + 315*b + 10 = 0.
-2/65, 1
Solve 2*r**5/3 - 14*r**4/3 - 2*r**3 + 110*r**2/3 + 100*r/3 = 0 for r.
-2, -1, 0, 5
What is y in -3*y**3/2 - 12*y**2 - 39*y/2 - 9 = 0?
-6, -1
Find w such that -11*w**3 - 23*w**2 + 11*w + 23 = 0.
-23/11, -1, 1
Find c, given that c**5 - 31*c**4 + 148*c**3 + 1476*c**2 + 1296*c = 0.
-4, -1, 0, 18
Find y such that 2*y**5 + 32*y**4 + 126*y**3 + 184*y**2 + 88*y = 0.
-11, -2, -1, 0
Let -2*w**2 + 352*w - 15488 = 0. Calculate w.
88
Find v, given that -v**5/8 - 11*v**4/4 + 55*v**3/8 + 43*v**2/2 + 12*v = 0.
-24, -1, 0, 4
Find l, given that 2*l**2 - 32 = 0.
-4, 4
Factor -5*l**2 - 295*l + 2310.
-5*(l - 7)*(l + 66)
Factor -4*n**2 + 160*n - 1600.
-4*(n - 20)**2
Suppose 272*w**3 - 2288*w**2/3 - 476*w/3 - 4 = 0. What is w?
-1/6, -1/34, 3
Factor -3*p**5/2 + 30*p**4 - 105*p**3 + 150*p**2 - 195*p/2 + 24.
-3*(p - 16)*(p - 1)**4/2
Factor 3*u**4 - 48*u**3 - 9*u**2 + 138*u + 96.
3*(u - 16)*(u - 2)*(u + 1)**2
Suppose 2*r**2/9 + 13976*r/9 + 24416072/9 = 0. Calculate r.
-3494
Determine u, given that -u**3 + 57*u**2 - 1083*u + 6859 = 0.
19
Find o, given that -o**3/3 + o**2/3 + 3*o - 3 = 0.
-3, 1, 3
Determine k so that 3*k**2 + 12*k - 15 = 0.
-5, 1
Solve -4*d**5 + 220*d**4 - 2676*d**3 - 9628*d**2 - 6728*d = 0 for d.
-2, -1, 0, 29
Factor -r**2/3 + 17*r/3.
-r*(r - 17)/3
Factor v**4 + 10*v**3 - 24*v**2.
v**2*(v - 2)*(v + 12)
Factor b**2 - 4356*b + 4743684.
(b - 2178)**2
Factor -3*d**3/7 - 25*d**2/7 - 29*d/7 - 1.
-(d + 1)*(d + 7)*(3*d + 1)/7
Let 10*h**3 + 345*h**2 + 2765*h - 1470 = 0. Calculate h.
-21, -14, 1/2
Determine n so that -3*n**4/5 + 48*n**3/5 + 3*n**2/5 - 48*n/5 = 0.
-1, 0, 1, 16
What is q in -q**2/9 - 349*q/9 - 116/3 = 0?
-348, -1
Factor 256000*w**4 + 361600*w**3 + 120120*w**2 + 30371*w/2 + 1331/2.
(w + 1)*(80*w + 11)**3/2
Solve -y**4/3 + y**3/3 + 4*y**2/3 - 4*y/3 = 0 for y.
-2, 0, 1, 2
Factor 3*b**2 + 3789*b + 11340.
3*(b + 3)*(b + 1260)
Let -2*f**4/7 - 464*f**3/7 = 0. What is f?
-232, 0
Let 2*f**2/7 - 3*f/7 = 0. Calculate f.
0, 3/2
Determine f so that f**4/4 + 17*f**3/4 - 19*f**2/2 = 0.
-19, 0, 2
Suppose 12*n**2/7 - 207*n/7 + 405/7 = 0. What is n?
9/4, 15
Factor 3*w**3/2 - 339*w**2/8 + 177*w/2 - 39/2.
3*(w - 26)*(w - 2)*(4*w - 1)/8
Solve 4*o**4 - 4*o**3 - 96*o**2 - 144*o = 0.
-3, -2, 0, 6
Factor 4508*b**3 - 10696*b**2 + 6784*b - 512.
4*(7*b - 8)**2*(23*b - 2)
Suppose -60552*r**3 + 16530*r**2 - 356*r + 2 = 0. Calculate r.
1/87, 1/4
Factor f**3/4 - 61*f**2/2 + 2985*f/4 - 5175.
(f - 92)*(f - 15)**2/4
Find g such that 57*g**3 + 234*g**2 + 252*g + 24 = 0.
-2, -2/19
Solve -5*w**4 + 2855*w**3 + 2870*w**2 - 5720*w = 0 for w.
-2, 0, 1, 572
Find v, given that 4*v**2 - 2744*v - 5504 = 0.
-2, 688
Factor -k**3/3 + 4*k**2/3 - 4*k/3.
-k*(k - 2)**2/3
Let 3*g**2 + 912*g - 1836 = 0. Calculate g.
-306, 2
Solve -9*w**3 - 69*w**2/2 - 42*w - 33/2 = 0.
-11/6, -1
Find t, given that 2*t**5/5 - 1116*t**4/5 + 155682*t**3/5 = 0.
0, 279
What is r in 2*r**2/3 + 2052*r + 1579014 = 0?
-1539
What is o in -4*o**2 + 572*o - 2760 = 0?
5, 138
Determine k so that -3*k**3/4 + 75*k**2/4 + 21*k - 39 = 0.
-2, 1, 26
Factor 3*m**2 - 945*m + 1878.
3*(m - 313)*(m - 2)
Factor d**4 + 26*d**3 + 249*d**2 + 1040*d + 1600.
(d + 5)**2*(d + 8)**2
Solve -4*o**3 + 44*o**2 - 120*o = 0 for o.
0, 5, 6
Factor 4*m**2 + 220*m - 456.
4*(m - 2)*(m + 57)
What is f in 3*f**4/4 - 159*f**3/4 + 354*f**2 + 5085*f - 5400 = 0?
-8, 1, 30
Factor -5*s**3 - 25*s**2 + 110*s + 28