1
Factor -b**3 + 4*b**2 - 3*b.
-b*(b - 3)*(b - 1)
Solve -o**3/4 + o**2/4 + 5*o/2 + 2 = 0 for o.
-2, -1, 4
Factor 3*n**3 - 27*n**2 - 291*n + 315.
3*(n - 15)*(n - 1)*(n + 7)
Suppose 3*k**4/5 - 1014*k**3/5 - 3069*k**2/5 - 12*k/5 + 4092/5 = 0. What is k?
-2, 1, 341
Determine m, given that 2*m**4 - 8*m**3 = 0.
0, 4
Solve o**4/6 - 9*o**3/2 - 611*o**2/6 - 1071*o/2 - 2107/3 = 0.
-7, -2, 43
Factor 3*n**4/7 + 3*n**3/7 - 24*n**2/7 - 36*n/7.
3*n*(n - 3)*(n + 2)**2/7
Suppose -3*r**5/7 - 680*r**4/7 - 541*r**3 - 6642*r**2/7 - 2644*r/7 + 1768/7 = 0. What is r?
-221, -2, 1/3
Factor -q**4/2 - 35*q**3 - 67*q**2/2 + 69*q.
-q*(q - 1)*(q + 2)*(q + 69)/2
What is z in -2*z**3/9 + 4*z**2/9 + 14*z/3 + 4 = 0?
-3, -1, 6
Let -3*b**4/2 + 21*b**3 - 96*b**2 + 171*b - 189/2 = 0. What is b?
1, 3, 7
Find q, given that -4*q**3 + 432*q**2 = 0.
0, 108
Determine d, given that 2*d**2/3 - 58*d/3 + 56/3 = 0.
1, 28
What is x in 5*x**4 + 90*x**3 + 280*x**2 = 0?
-14, -4, 0
Determine j, given that 5*j**2 - 1575*j + 3130 = 0.
2, 313
Find l, given that -2*l**2 - 282*l - 828 = 0.
-138, -3
Find o, given that -o**4 - 13*o**3 - 31*o**2 + 45*o = 0.
-9, -5, 0, 1
Suppose -u**2 + 617*u/3 - 410/3 = 0. Calculate u.
2/3, 205
Factor -4*l**2 + 396*l.
-4*l*(l - 99)
Solve -4*c**5 - 12*c**4 + 320*c**3 - 1200*c**2 + 1664*c - 768 = 0 for c.
-12, 1, 2, 4
Suppose 20*r**4/7 - 386*r**3/7 + 178*r**2/7 + 188*r/7 = 0. Calculate r.
-1/2, 0, 1, 94/5
Suppose 4*u**3/5 + 1392*u**2/5 + 161472*u/5 + 6243584/5 = 0. Calculate u.
-116
Factor 5*g**2 - 200*g - 880.
5*(g - 44)*(g + 4)
Let -h**3/7 - 11*h**2 - 1920*h/7 - 15300/7 = 0. What is h?
-30, -17
Factor k**3/3 + 2*k**2 - k/3 - 2.
(k - 1)*(k + 1)*(k + 6)/3
Determine f so that 5*f**3 + 425*f**2 - 2250*f = 0.
-90, 0, 5
Suppose -2*q**4 + 104*q**3 - 1452*q**2 + 2600*q - 1250 = 0. What is q?
1, 25
Solve 2*t**4 + 2*t**3 - 24*t**2 = 0.
-4, 0, 3
Solve 4*n**2 - 3168*n + 627264 = 0 for n.
396
Determine t, given that -5*t**3 - 20*t**2 + 995*t - 1870 = 0.
-17, 2, 11
Factor -2*w**4/7 + 36*w**3/7 - 74*w**2/7 - 792*w/7 - 968/7.
-2*(w - 11)**2*(w + 2)**2/7
Find v, given that v**5/5 + 4*v**4 + 99*v**3/5 + 88*v**2/5 - 208*v/5 = 0.
-13, -4, 0, 1
Find s such that -s**4/3 + s**3 + 32*s**2/3 + 20*s + 32/3 = 0.
-2, -1, 8
Factor -3*o**2 + 3747*o.
-3*o*(o - 1249)
Solve 2*q**2/9 + 8*q + 136/9 = 0 for q.
-34, -2
Factor -212*d**2 - 412*d + 24.
-4*(d + 2)*(53*d - 3)
Solve n**5/7 - 7*n**4 - 9*n**3/7 + 445*n**2/7 - 184*n/7 - 84 = 0.
-3, -1, 2, 49
Solve -2*h**5 - 80*h**4 - 750*h**3 + 4960*h**2 + 79360*h + 73728 = 0.
-16, -1, 9
Suppose 2*a**3 + 64*a**2 - 3482*a + 3416 = 0. What is a?
-61, 1, 28
Factor 961*v**2/7 + 186*v/7 + 9/7.
(31*v + 3)**2/7
Let -2*c**3 - 16*c**2 - 2*c + 84 = 0. Calculate c.
-7, -3, 2
Let -2*o**2 + 2492*o - 776258 = 0. Calculate o.
623
Suppose -3*w**5/5 + 7*w**4 + 93*w**3/5 + 69*w**2/5 + 14*w/5 = 0. What is w?
-1, -1/3, 0, 14
Factor 5*c**3 - 180*c**2 + 1785*c - 2890.
5*(c - 17)**2*(c - 2)
Factor 3*o**4/2 + 111*o**3/2 + 213*o**2/2 + 105*o/2.
3*o*(o + 1)**2*(o + 35)/2
Suppose -1587*y**3/5 + 7728*y**2/5 - 1164*y + 240 = 0. What is y?
10/23, 4
Factor 5*s**2/2 - 320*s - 645/2.
5*(s - 129)*(s + 1)/2
Factor -3*i**4 - 6*i**3 + 57*i**2 + 60*i.
-3*i*(i - 4)*(i + 1)*(i + 5)
Factor 740*g**3 + 1076*g**2 + 352*g + 16.
4*(g + 1)*(5*g + 2)*(37*g + 2)
Factor 3*w**2 - 2766*w + 637563.
3*(w - 461)**2
Factor -2*d**5 + 18*d**4 + 44*d**3 + 4*d**2 - 42*d - 22.
-2*(d - 11)*(d - 1)*(d + 1)**3
Suppose -2*o**2/3 - 244*o - 22326 = 0. What is o?
-183
Determine r, given that -r**3 + 12*r**2 - 41*r + 42 = 0.
2, 3, 7
Suppose -2*o**3 - 346*o**2 - 686*o - 342 = 0. What is o?
-171, -1
Suppose -2*l**2/7 + 320*l/21 - 106/21 = 0. Calculate l.
1/3, 53
Suppose 2725*l**4/4 + 4955*l**3/4 + 1353*l**2/2 + 121*l + 2 = 0. What is l?
-1, -2/5, -2/109
Let -c**5/8 + c**4/8 + c**3/8 - c**2/8 = 0. What is c?
-1, 0, 1
Factor -t**4/2 + 7*t**3/2 + 83*t**2/2 + 201*t/2 + 63.
-(t - 14)*(t + 1)*(t + 3)**2/2
Determine w, given that 12*w**2 - 28*w - 24 = 0.
-2/3, 3
Factor 2*t**4 - 384*t**3 + 5786*t**2 - 27300*t + 34496.
2*(t - 176)*(t - 7)**2*(t - 2)
Solve -4*m**4 - 40*m**3 + 96*m**2 = 0 for m.
-12, 0, 2
Factor 9*t**2 + 15*t.
3*t*(3*t + 5)
Factor -5*u**2/2 - 1465*u/2 - 2175.
-5*(u + 3)*(u + 290)/2
Find b such that -b**4/3 + 8*b**3/3 + 19*b**2 + 100*b/3 + 52/3 = 0.
-2, -1, 13
Find t such that t**2/2 + 37*t/2 - 180 = 0.
-45, 8
Solve -4*i**4 - 4*i**3 + 124*i**2 + 244*i + 120 = 0 for i.
-5, -1, 6
What is n in 3*n**5 - 102*n**4 - 681*n**3 - 1524*n**2 - 1428*n - 480 = 0?
-2, -1, 40
Factor 4*d**5/9 + 68*d**4/9 - 8*d**3.
4*d**3*(d - 1)*(d + 18)/9
Solve -18*a**4 + 42*a**3 - 2*a**2 - 18*a - 4 = 0.
-1/3, 1, 2
Determine a so that -4*a**2 + 244*a = 0.
0, 61
Factor 25*o**4 + 995*o**3 - 11466*o**2 - 9644*o - 1960.
(o - 10)*(o + 49)*(5*o + 2)**2
Find z, given that 2*z**3/15 + 2*z**2/5 + 4*z/15 = 0.
-2, -1, 0
Determine m so that 5*m**4 + 40*m**3 - 105*m**2 - 40*m + 100 = 0.
-10, -1, 1, 2
Determine q so that -4*q**5/9 - 38*q**4/3 + 116*q**3 - 1298*q**2/9 - 20*q/3 + 48 = 0.
-36, -1/2, 1, 6
Suppose -3*h**2/2 - 135*h/2 + 69 = 0. Calculate h.
-46, 1
Factor -2*b**4/15 - 2*b**3/5 + 48*b**2/5 + 216*b/5.
-2*b*(b - 9)*(b + 6)**2/15
Factor 3*c**2/7 + 330*c/7 + 9075/7.
3*(c + 55)**2/7
Solve -10*r**5/13 + 36*r**4/13 + 112*r**3/13 + 20*r**2/13 - 102*r/13 - 56/13 = 0 for r.
-1, 1, 28/5
Solve r**5 - 158*r**4 + 8266*r**3 - 140132*r**2 - 165731*r + 297754 = 0 for r.
-2, 1, 53
What is h in -3*h**4/2 - 11*h**3/2 - 6*h**2 - 2*h = 0?
-2, -1, -2/3, 0
Let 3*d**2 - 3*d - 60 = 0. What is d?
-4, 5
Factor 4*t**4 + 100*t**3 + 188*t**2 + 92*t.
4*t*(t + 1)**2*(t + 23)
Factor -4*i**2/5 - 4*i/5 + 8/5.
-4*(i - 1)*(i + 2)/5
Factor 4*j**3 + 44*j**2 + 144*j + 144.
4*(j + 2)*(j + 3)*(j + 6)
Let 6*z**4/7 + 1858*z**3/7 + 147178*z**2/7 + 512550*z/7 - 187272/7 = 0. Calculate z.
-153, -4, 1/3
Factor -3*w**3/7 + 327*w**2/7 + 1002*w/7 + 96.
-3*(w - 112)*(w + 1)*(w + 2)/7
Factor -4*x**3 - 204*x**2 - 396*x - 196.
-4*(x + 1)**2*(x + 49)
Suppose -5*f**2 - 40*f + 100 = 0. Calculate f.
-10, 2
Solve 2*x**3/15 + 62*x**2/15 - 274*x/15 + 14 = 0 for x.
-35, 1, 3
Factor g**3 + 272*g**2 - 547*g + 274.
(g - 1)**2*(g + 274)
Factor -2*g**3/17 - 766*g**2/17 - 72960*g/17 + 73728/17.
-2*(g - 1)*(g + 192)**2/17
Determine t so that 5*t**4 - 240*t**3 - 250*t**2 + 240*t + 245 = 0.
-1, 1, 49
Factor u**2/7 - 4*u + 187/7.
(u - 17)*(u - 11)/7
Suppose 2*d**5/7 - 12*d**4/7 + 24*d**3/7 - 20*d**2/7 + 6*d/7 = 0. Calculate d.
0, 1, 3
Solve n**5/5 - 32*n**4/5 + 31*n**3/5 = 0 for n.
0, 1, 31
Factor 4*m**4 + 8*m**3 + 4*m**2.
4*m**2*(m + 1)**2
Suppose -7*g**5/5 - 20*g**4 - 371*g**3/5 - 70*g**2 - 72*g/5 = 0. Calculate g.
-9, -4, -1, -2/7, 0
Determine x so that -2*x**5/17 + 106*x**3/17 - 192*x**2/17 - 104*x/17 + 192/17 = 0.
-8, -1, 1, 2, 6
Factor 2*r**4/5 + 8*r**3/5 + 6*r**2/5.
2*r**2*(r + 1)*(r + 3)/5
What is z in z**2/6 - 3604*z/3 + 6494408/3 = 0?
3604
Find c such that -4*c**2 - 544*c - 18496 = 0.
-68
Solve 11*j**4/5 + 31*j**3/5 - 17*j**2/5 - 31*j/5 + 6/5 = 0 for j.
-3, -1, 2/11, 1
Determine n so that 2*n**5/5 - 28*n**4/5 - 132*n**3/5 - 208*n**2/5 - 142*n/5 - 36/5 = 0.
-1, 18
Factor 4*u**4/9 + 32*u**3/9 - 32*u**2/3 - 128*u - 192.
4*(u - 6)*(u + 2)*(u + 6)**2/9
Factor j**2 + 2167*j.
j*(j + 2167)
Let -2*n**5/5 - 36*n**4/5 - 156*n**3/5 + 112*n**2/5 + 558*n/5 + 324/5 = 0. What is n?
-9, -1, 2
Factor 2*c**4/9 + 10*c**3/9 - 16*c**2/9 - 32*c/3.
2*c*(c - 3)*(c + 4)**2/9
Suppose -5*y**2 - 255*y - 940 = 0. What is y?
-47, -4
Factor -8*s**3/7 - 4*s**2 - 12*s/7.
-4*s*(s + 3)*(2*s + 1)/7
Factor 4*v**2 + 1584*v + 1580.
4*(v + 1)*(v + 395)
Factor -k**2/2 - 65*k - 4225/2.
-(k + 65)**2/2
Factor -5*n**3 - 1475*n**2 + 2965*n - 1485.
-5*(n - 1)**2*(n + 297)
Find i, given that 3*i**3 - 36*i**2 + 33*i = 0.
0, 1, 11
Determine n, given that 2*n**5/3 + 2*n**4 - 22*n**3/3 - 2*n**2 + 20*n/3 = 0.
-5, -1, 0, 1, 2
Find d such that 10*d**4/11 - 614*d**3/11 - 1642*d**2/11 - 1402*d/11 - 384/11 = 0.
-1, -3/5, 64
What is h in h**4 - 97*h**3/4 - 45*h**2 - 53*h/4 + 13/2 = 0?
-1, 1/4, 26
Suppose 3*k**2 + 90*k - 93 = 0. Calculate k.
-31, 1
Find o, given that -2*o**5/5 + 44*o**4/5 + 94*o**3/5 + 48*o**2/5 = 0.
-1, 0, 24
Factor 3*h**2 - 45*h - 48.
3*(h - 16)*(h + 1)
Factor -o**5/3 - o**4/3 + 5*o**3/3 - o**2.
-o**2*(o - 1)**2*(o + 3)/3
Factor 4*k**2/3 + 28*k.
4*k*(k + 21)/3
Facto