*4 + 85*f**3 - 115*f**2 - 465*f - 270.
5*(f - 3)*(f + 1)**2*(f + 18)
Factor 7*k**5 + 75*k**4 + 111*k**3 + 25*k**2 - 18*k.
k*(k + 1)**2*(k + 9)*(7*k - 2)
Factor q**4 + 122*q**3 + 3469*q**2 - 15372*q + 15876.
(q - 2)**2*(q + 63)**2
Factor -3*v**5 + 81*v**4 + 174*v**3 + 6*v**2 - 171*v - 87.
-3*(v - 29)*(v - 1)*(v + 1)**3
Factor 3*u**3/5 + 1599*u**2/5.
3*u**2*(u + 533)/5
Factor -5*l**4/2 + 25*l**3 - 40*l**2.
-5*l**2*(l - 8)*(l - 2)/2
Solve -2*i**2/19 + 18*i/19 - 36/19 = 0.
3, 6
Suppose -3*c**3/8 - 3*c**2/2 - 3*c/2 = 0. Calculate c.
-2, 0
Solve k**2/5 - 9*k/5 + 4 = 0.
4, 5
Solve 5*i**3/4 + 91*i**2/2 - 77*i - 38 = 0.
-38, -2/5, 2
Determine b so that 4*b**4/3 - 76*b**3/3 + 452*b**2/3 - 644*b/3 - 392 = 0.
-1, 6, 7
Let -h**3 + 17*h**2 + 37*h + 19 = 0. Calculate h.
-1, 19
Factor -z**3/3 + 83*z**2/3 - 1763*z/3 + 1681/3.
-(z - 41)**2*(z - 1)/3
Let g**2/5 + 174*g/5 + 7569/5 = 0. What is g?
-87
Let -4*z**3 - 872*z**2 - 868*z = 0. What is z?
-217, -1, 0
Let -2*o**4/5 - 306*o**3/5 - 1788*o**2/5 - 3544*o/5 - 2352/5 = 0. What is o?
-147, -2
Find x, given that -2*x**4/9 - 14*x**3/3 - 22*x**2 + 242*x/9 = 0.
-11, 0, 1
Factor 2*d**2/7 - 222*d/7 - 1160/7.
2*(d - 116)*(d + 5)/7
Let -2*s**5 + 90*s**4 + 282*s**3 + 286*s**2 + 96*s = 0. What is s?
-1, 0, 48
Factor -5*n**2 + 70*n.
-5*n*(n - 14)
Factor -b**4 + 7*b**3 - 10*b**2.
-b**2*(b - 5)*(b - 2)
Suppose 9*u**3/2 - 8*u**2 - 31*u/2 - 3 = 0. What is u?
-1, -2/9, 3
Let 2*s**5/5 - 32*s**4/15 + 16*s**3/5 - 4*s**2/5 - 22*s/15 + 4/5 = 0. What is s?
-2/3, 1, 3
Factor -2*l**2 + 8*l + 10.
-2*(l - 5)*(l + 1)
Factor -4*i**4 - 32*i**3 - 96*i**2 - 128*i - 64.
-4*(i + 2)**4
Suppose -2*c**5 - 43*c**4 + 77*c**3 + 187*c**2 + 69*c = 0. What is c?
-23, -1, -1/2, 0, 3
Factor r**3/9 - 367*r**2/9 + 122*r/3.
r*(r - 366)*(r - 1)/9
Factor -2*h**2 - 380*h + 382.
-2*(h - 1)*(h + 191)
Let w**4 - 78*w**3 - 81*w**2 + 158*w = 0. Calculate w.
-2, 0, 1, 79
Factor -2*d**3/13 - 12*d**2/13 - 10*d/13 + 24/13.
-2*(d - 1)*(d + 3)*(d + 4)/13
Factor 4*n**3/9 - 4*n**2/9 - 676*n/9 + 676/9.
4*(n - 13)*(n - 1)*(n + 13)/9
Let -4*q**4 - 24*q**3 + 80*q**2 + 96*q - 256 = 0. Calculate q.
-8, -2, 2
What is x in -x**2/3 - 53*x/3 + 18 = 0?
-54, 1
Factor v**2 - 81*v - 82.
(v - 82)*(v + 1)
Solve 2*o**3 - 1532*o**2 + 285568*o + 3010880 = 0 for o.
-10, 388
Let -5*q**2/3 + 95*q/3 - 350/3 = 0. Calculate q.
5, 14
Find w, given that 2*w**2 + 12620*w + 19908050 = 0.
-3155
Determine c so that 3*c**4 - 24*c**3 - 24*c**2 + 288*c + 432 = 0.
-2, 6
Factor -d**2 + 259*d + 522.
-(d - 261)*(d + 2)
Let -3*z**2 + 966*z + 969 = 0. What is z?
-1, 323
Find d such that 3*d**2 + 84*d = 0.
-28, 0
Factor 3*t**2 + 180*t.
3*t*(t + 60)
Factor 4*b**2 - 276*b + 792.
4*(b - 66)*(b - 3)
Solve 2*j**2 + 70*j - 688 = 0 for j.
-43, 8
Find y, given that -2*y**3/7 - 40*y**2 + 2950*y/7 - 7500/7 = 0.
-150, 5
What is t in 5*t**3 - 255*t**2 + 2520*t + 19600 = 0?
-5, 28
Factor 5*u**3 + 85*u**2 + 70*u - 160.
5*(u - 1)*(u + 2)*(u + 16)
Determine l, given that -2*l**5/7 + 74*l**4/7 - 824*l**3/7 + 2264*l**2/7 + 3328*l/7 - 10240/7 = 0.
-2, 2, 5, 16
Find m such that 2*m**3/7 + 180*m**2/7 - 746*m/7 + 564/7 = 0.
-94, 1, 3
Factor 7*j**3/3 - 16*j**2/3 + 11*j/3 - 2/3.
(j - 1)**2*(7*j - 2)/3
What is l in 15*l**2 - 106*l/3 + 32/3 = 0?
16/45, 2
Factor 2*y**3/9 + 8*y**2/3 - 32*y - 384.
2*(y - 12)*(y + 12)**2/9
Factor h**2 + 24*h + 23.
(h + 1)*(h + 23)
Factor -2*r**2 - 28*r - 98.
-2*(r + 7)**2
Find v such that -5*v**5/6 + 10*v**4/3 + 15*v**3/2 - 40*v**2/3 - 50*v/3 = 0.
-2, -1, 0, 2, 5
Factor -3*x**5 + 72*x**4 - 132*x**3 - 6*x**2 + 135*x - 66.
-3*(x - 22)*(x - 1)**3*(x + 1)
Suppose -4*d**2 + 244*d - 1120 = 0. What is d?
5, 56
Factor 4*p**2 + 732*p.
4*p*(p + 183)
Factor 5*m**3 + 4560*m**2 + 18180*m + 18160.
5*(m + 2)**2*(m + 908)
Suppose 2*u**4 - 40*u**3 + 56*u**2 + 288*u = 0. Calculate u.
-2, 0, 4, 18
Determine z, given that 5*z**4 + 455*z**3 + 10575*z**2 + 10125*z = 0.
-45, -1, 0
Factor 92*g**3 + 192*g**2 + 108*g + 8.
4*(g + 1)**2*(23*g + 2)
Factor c**2 - 842*c.
c*(c - 842)
Factor -2*m**3 - 46*m**2 + 48*m.
-2*m*(m - 1)*(m + 24)
Let -l**2 - 507*l + 508 = 0. Calculate l.
-508, 1
Factor 21*m**3/2 + 102*m**2 + 465*m/2 - 75.
3*(m + 5)**2*(7*m - 2)/2
Factor -3*o**5 + 516*o**4 - 30252*o**3 + 641760*o**2 - 2220288*o + 2107392.
-3*(o - 56)**3*(o - 2)**2
Find s such that -s**2/4 + 117*s/2 - 233/4 = 0.
1, 233
Factor -111*t**3/4 + 285*t**2/4 - 87*t/2.
-3*t*(t - 1)*(37*t - 58)/4
Factor -i**2/3 - i/3.
-i*(i + 1)/3
Factor 5*n**2/6 + 20*n + 105/2.
5*(n + 3)*(n + 21)/6
Factor -5*m**2/2 - 825*m - 136125/2.
-5*(m + 165)**2/2
Solve -9*q**5/10 + 33*q**4/10 - 19*q**3/10 + 3*q**2/10 = 0.
0, 1/3, 3
Factor 36*s**2 - 1052*s + 232.
4*(s - 29)*(9*s - 2)
Let -3*x**4/5 + 9*x**3/5 + 27*x**2/5 + 3*x = 0. Calculate x.
-1, 0, 5
Solve 4*i**4 - 116*i**3 + 640*i**2 + 3072*i = 0 for i.
-3, 0, 16
Find h such that -h**3/5 - 57*h**2/5 + 117*h/5 - 59/5 = 0.
-59, 1
Solve n**2/8 + n - 33/8 = 0 for n.
-11, 3
Solve -2*v**4 + 38*v**3 - 128*v**2 + 120*v = 0 for v.
0, 2, 15
Find s such that -3*s**4 + 96*s**3 - 249*s**2 - 348*s = 0.
-1, 0, 4, 29
Suppose 2*r**3 - 104*r**2 + 570*r - 828 = 0. Calculate r.
3, 46
Factor -4*o**3 - 312*o**2 - 576*o + 2432.
-4*(o - 2)*(o + 4)*(o + 76)
Factor -4*h**4/7 + 732*h**3/7 - 33120*h**2/7 - 33856*h/7.
-4*h*(h - 92)**2*(h + 1)/7
Determine t, given that -t**5 + 50*t**4 - 853*t**3 + 5732*t**2 - 14212*t + 11552 = 0.
2, 8, 19
What is a in -2*a**4/5 - 4*a**3 - 34*a**2/5 - 16*a/5 = 0?
-8, -1, 0
What is q in -4*q**2/3 - 82*q/3 - 88 = 0?
-33/2, -4
Solve -x**2/6 - 7*x/6 - 2 = 0.
-4, -3
Suppose 3*h**3/8 + 25*h**2/8 + 3*h/4 - 2 = 0. What is h?
-8, -1, 2/3
Suppose o**3/3 - 28*o**2 = 0. Calculate o.
0, 84
Find t such that 5*t**2 - 65*t - 1150 = 0.
-10, 23
Suppose -20*g**5/3 - 352*g**4 - 772*g**3/3 + 3208*g**2/3 + 1536*g + 1664/3 = 0. What is g?
-52, -1, -4/5, 2
Solve -u**5/6 - 11*u**4 - 736*u**3/3 - 7552*u**2/3 - 12288*u - 69632/3 = 0 for u.
-34, -8
Suppose 5*w**3 + 385*w**2 = 0. Calculate w.
-77, 0
Factor -5*t**2 - 200*t.
-5*t*(t + 40)
Factor 20*p**3 - 128*p**2 + 208*p - 64.
4*(p - 4)*(p - 2)*(5*p - 2)
Let x**5 - 3*x**4 + 4*x**2 = 0. Calculate x.
-1, 0, 2
Determine w so that 2*w**2/5 + 32*w/5 + 128/5 = 0.
-8
Solve 2*w**4/3 - 8*w**3/3 - 8*w**2 + 64*w/3 + 128/3 = 0 for w.
-2, 4
What is n in -7*n**4/4 + 141*n**3/4 + 127*n**2/4 - 21*n/4 = 0?
-1, 0, 1/7, 21
Find s, given that 5*s**2 - 39200*s + 76832000 = 0.
3920
Factor -20*b**2/9 + 38*b/9 + 4/9.
-2*(b - 2)*(10*b + 1)/9
Factor 2*k**5/13 - 190*k**4/13 + 4790*k**3/13 - 13250*k**2/13 + 12880*k/13 - 4232/13.
2*(k - 46)**2*(k - 1)**3/13
Let 3*f**5 - 18*f**4 - 72*f**3 - 78*f**2 - 27*f = 0. What is f?
-1, 0, 9
Determine q so that -4*q**4/9 - 56*q**3/9 + 92*q**2/3 - 24*q = 0.
-18, 0, 1, 3
Factor -z**5 - 18*z**4 - 61*z**3 - 72*z**2 - 28*z.
-z*(z + 1)**2*(z + 2)*(z + 14)
Find a such that -3*a**2 + 234*a = 0.
0, 78
Factor -3*d**2 - 180*d - 972.
-3*(d + 6)*(d + 54)
Factor -r**3/4 - 19*r**2/2 - 171*r/4 - 99/2.
-(r + 2)*(r + 3)*(r + 33)/4
Suppose 3*c**4 + 2373*c**3 - 7137*c**2 + 7143*c - 2382 = 0. What is c?
-794, 1
Factor a**5/4 + a**4 - 3*a**3/4 - 5*a**2/2 + 2*a.
a*(a - 1)**2*(a + 2)*(a + 4)/4
Factor 7*c**4/5 - 24*c**3/5 + 6*c**2 - 16*c/5 + 3/5.
(c - 1)**3*(7*c - 3)/5
Solve -10*a**5/9 + 4*a**4/9 + 50*a**3/9 - 20*a**2/9 - 40*a/9 + 16/9 = 0.
-2, -1, 2/5, 1, 2
Let -2*r**3/19 - 204*r**2/19 - 6936*r/19 - 78608/19 = 0. Calculate r.
-34
Determine w, given that -22*w**4/5 + 116*w**3/5 - 8*w**2/5 - 116*w/5 + 6 = 0.
-1, 3/11, 1, 5
Find d such that -3*d**3/4 - 39*d**2/4 + 87*d/4 - 45/4 = 0.
-15, 1
What is d in -22*d**4 + 128*d**3 + 354*d**2 + 236*d + 32 = 0?
-1, -2/11, 8
Factor -g**2/7 + 6*g.
-g*(g - 42)/7
Determine b, given that -2*b**3/3 - 66*b**2 - 1296*b + 17496 = 0.
-54, 9
Factor 15*w**5 - 50*w**4 + 60*w**3 - 30*w**2 + 5*w.
5*w*(w - 1)**3*(3*w - 1)
Suppose -2*c**4/7 - 88*c**3 - 48646*c**2/7 - 186656*c/7 - 138624/7 = 0. Calculate c.
-152, -3, -1
Let y**3 - 100*y**2 - 101*y = 0. Calculate y.
-1, 0, 101
Determine h, given that 4*h**5 + 108*h**4 - 140*h**3 - 780*h**2 + 136*h + 672 = 0.
-28, -2, -1, 1, 3
Factor -4*d**2 + 8*d + 192.
-4*(d - 8)*(d + 6)
Suppose 4*s**5 + 44*s**4 + 116*s**3 - 140*s**2 - 600*s = 0. Calculate s.
-5, -3, 0, 2
Let -5*a**2 + 2520*a + 2525 = 0. What is a?
-1, 505
Factor 2*f**4 - 1172*f**3 + 170520*f**2 + 345744*