*a**2 - 226*a + 148.
2*(a - 37)*(3*a - 2)
Factor b**2/2 - b/2 - 1.
(b - 2)*(b + 1)/2
Determine a so that 5*a**3 - 135*a + 270 = 0.
-6, 3
Factor 2*i**4 - 12*i**3 + 24*i**2 - 20*i + 6.
2*(i - 3)*(i - 1)**3
Let -k**2 - 15*k - 44 = 0. Calculate k.
-11, -4
Factor -w**3 - 46*w**2 - 43*w + 90.
-(w - 1)*(w + 2)*(w + 45)
Factor 4*g**4 + 48*g**3 + 144*g**2 + 128*g.
4*g*(g + 2)**2*(g + 8)
Solve 3*d**4 + 6*d**3 - 36*d**2 + 42*d - 15 = 0.
-5, 1
Factor 10*v**2 - 364*v + 144.
2*(v - 36)*(5*v - 2)
Solve 2*f**3 + 802*f**2 - 4866*f + 7326 = 0 for f.
-407, 3
Solve 5*p**4 - 90*p**3 + 295*p**2 - 210*p = 0 for p.
0, 1, 3, 14
What is f in 2*f**5 + 56*f**4 + 392*f**3 = 0?
-14, 0
Solve -2*s**2/11 - 26*s - 1112/11 = 0.
-139, -4
Factor x**2 - 2930*x + 2146225.
(x - 1465)**2
Solve -2*i**5 - 30*i**4 - 114*i**3 - 146*i**2 - 60*i = 0.
-10, -3, -1, 0
Factor u**2 - u.
u*(u - 1)
Solve 7*m**3/4 - m**2/2 - 63*m/4 + 9/2 = 0 for m.
-3, 2/7, 3
Suppose a**5/2 + 278*a**4 - a**3 - 556*a**2 + a/2 + 278 = 0. What is a?
-556, -1, 1
What is t in 2*t**4/7 - 66*t**3/7 + 330*t**2/7 + 4066*t/7 - 4332/7 = 0?
-6, 1, 19
Factor -2*l**2 + 40*l - 38.
-2*(l - 19)*(l - 1)
Determine t, given that 15*t**5 - 7105*t**4 + 18875*t**3 - 16495*t**2 + 4710*t = 0.
0, 2/3, 1, 471
Solve -3*t**4 - 177*t**3 - 2460*t**2 + 6300*t + 54000 = 0 for t.
-30, -4, 5
Factor -3*c**4 + 12*c**3 + 438*c**2 + 828*c + 405.
-3*(c - 15)*(c + 1)**2*(c + 9)
Find o such that -2*o**5/9 - 20*o**4/9 - 6*o**3 - 28*o**2/9 + 56*o/9 + 16/3 = 0.
-6, -2, -1, 1
What is s in 2*s**4 - 40*s**3/7 - 2*s**2 + 40*s/7 = 0?
-1, 0, 1, 20/7
Find r, given that 2*r**3/7 + 3*r**2 + 43*r/7 + 24/7 = 0.
-8, -3/2, -1
Factor 9*a**4 + 978*a**3 + 1612*a**2 + 750*a + 107.
(a + 1)*(a + 107)*(3*a + 1)**2
Factor -3*y**2 - 21*y - 36.
-3*(y + 3)*(y + 4)
Factor q**4/5 + 4*q**3/5 - 11*q**2 + 10*q.
q*(q - 5)*(q - 1)*(q + 10)/5
Determine l, given that 3*l**5 + 39*l**4 + 195*l**3 + 465*l**2 + 522*l + 216 = 0.
-4, -3, -2, -1
Find c, given that -11*c**3/6 + 3*c**2/2 + c/3 = 0.
-2/11, 0, 1
Factor 2*h**4 + 4*h**3 - 6*h**2.
2*h**2*(h - 1)*(h + 3)
Suppose -4*x**2 + 48*x = 0. What is x?
0, 12
Solve -2*b**4/7 + 50*b**3/7 - 170*b**2/7 + 30*b/7 + 36 = 0.
-1, 2, 3, 21
Factor 4*a**3 - 4*a**2 - 8*a.
4*a*(a - 2)*(a + 1)
Factor -5*c**2 - 495*c - 6970.
-5*(c + 17)*(c + 82)
Factor 4*b**4 + 52*b**3 + 40*b**2 - 96*b.
4*b*(b - 1)*(b + 2)*(b + 12)
Suppose 5*z**5/2 + 5*z**4 - 15*z**3 - 20*z**2 + 25*z/2 + 15 = 0. What is z?
-3, -1, 1, 2
Suppose 5*x**3 - 185*x**2 + 355*x - 175 = 0. What is x?
1, 35
Factor -w**5 + 21*w**4 + 23*w**3 - 21*w**2 - 22*w.
-w*(w - 22)*(w - 1)*(w + 1)**2
Solve 4*a**5 - 136*a**4 + 996*a**3 - 2464*a**2 + 1600*a = 0.
0, 1, 4, 25
Suppose 4*m**3 - 164*m**2 - 2336*m + 2496 = 0. Calculate m.
-12, 1, 52
Suppose h**4/4 + 7*h**3/4 - 405*h**2/2 + 2525*h - 9250 = 0. What is h?
-37, 10
Solve 5*m**3 + 465*m**2 + 10575*m - 11045 = 0.
-47, 1
Suppose -7*m**3/9 - 9*m**2 + 46*m/9 + 40/3 = 0. What is m?
-12, -1, 10/7
Determine z so that -5*z**2 - 56610*z - 160234605 = 0.
-5661
Factor -4*x**4 - 48*x**3 + 316*x**2 - 408*x.
-4*x*(x - 3)*(x - 2)*(x + 17)
Suppose 3*k**4/4 - 21*k**3/4 - 27*k**2/4 + 345*k/4 - 75 = 0. What is k?
-4, 1, 5
Factor 3*g**2 - 426*g + 15123.
3*(g - 71)**2
What is u in -291*u**3/2 - 676*u**2 - 374*u + 8 = 0?
-4, -2/3, 2/97
Suppose 4*f**2 - 232*f = 0. Calculate f.
0, 58
Factor k**4/2 - 7*k**2/2 + 3*k.
k*(k - 2)*(k - 1)*(k + 3)/2
Suppose o**3/9 + o**2 - 22*o/9 = 0. What is o?
-11, 0, 2
Factor q**2/3 - 67*q + 200/3.
(q - 200)*(q - 1)/3
Factor 5*p**2 - 920*p + 42320.
5*(p - 92)**2
Suppose -s**3/8 - 45*s**2/2 + 1107*s/8 - 837/4 = 0. Calculate s.
-186, 3
Suppose 4*h**3 + 76*h**2 + 220*h - 1452 = 0. What is h?
-11, 3
Factor -m**2/5 - 3*m/5 + 28/5.
-(m - 4)*(m + 7)/5
Factor 4*n**2 - 3280*n + 672400.
4*(n - 410)**2
Solve 2*i**3/3 - 58*i**2/3 - 2*i/3 + 58/3 = 0.
-1, 1, 29
Suppose -3*j**2 + 1548*j - 199692 = 0. What is j?
258
Let 5*c**5/3 - 2365*c**4/3 + 374450*c**3/3 - 20091290*c**2/3 + 39068665*c/3 - 19349465/3 = 0. Calculate c.
1, 157
Let 5*r**4 + 65*r**3 - 515*r**2 - 1205*r - 630 = 0. What is r?
-18, -1, 7
Factor 4*n**2/3 - 32*n/3 - 80/3.
4*(n - 10)*(n + 2)/3
Solve 5*a**4 - 130*a**3 + 960*a**2 - 1440*a = 0 for a.
0, 2, 12
Determine f so that -3*f**5 + 42*f**4 + 105*f**3 - 120*f**2 - 372*f - 192 = 0.
-2, -1, 2, 16
Let -y**5 + 132*y**4 + 272*y**3 - 534*y**2 - 271*y + 402 = 0. What is y?
-3, -1, 1, 134
Suppose 9*v**5/4 + 87*v**4/4 + 147*v**3/2 + 99*v**2 + 30*v - 24 = 0. What is v?
-4, -2, 1/3
Solve 3*h**3/4 + 81*h**2/4 + 153*h/4 + 75/4 = 0.
-25, -1
Factor 2*q**2/11 - 10*q/11 - 672/11.
2*(q - 21)*(q + 16)/11
Let 2*q**2 + 18*q - 44 = 0. What is q?
-11, 2
Factor 2*j**2 + 52*j.
2*j*(j + 26)
Find g, given that 5*g**5 + 65*g**4 + 175*g**3 - 245*g**2 = 0.
-7, 0, 1
Factor 9*u**3/2 + 177*u**2/4 - 45*u/4 - 75/2.
3*(u - 1)*(u + 10)*(6*u + 5)/4
Find f, given that -3*f**3 - 87*f**2 = 0.
-29, 0
Factor -4*t**4 + 4*t**2.
-4*t**2*(t - 1)*(t + 1)
Let 3*b**4/8 + 21*b**3/4 + 147*b**2/8 + 27*b/2 = 0. Calculate b.
-9, -4, -1, 0
Solve 2*g**3/11 - 1396*g**2/11 + 243602*g/11 = 0 for g.
0, 349
Determine k, given that 3*k**2 + 45*k = 0.
-15, 0
Determine p, given that 4*p**3 + 38*p**2/5 - 4*p/5 = 0.
-2, 0, 1/10
Factor -m**3 - 170*m**2 - 7225*m.
-m*(m + 85)**2
Factor 5*i**3 + 190*i**2 - 605*i + 410.
5*(i - 2)*(i - 1)*(i + 41)
Solve -2*b**3/9 + 16*b**2/9 + 2*b/9 - 16/9 = 0.
-1, 1, 8
Factor -y**2 - 122*y.
-y*(y + 122)
Suppose 4*t**4/3 + 8*t**3/3 - 28*t**2/3 + 16*t/3 = 0. Calculate t.
-4, 0, 1
Factor -33*d**2 - 195*d + 18.
-3*(d + 6)*(11*d - 1)
Factor 2*r**3 - 16*r**2 + 22*r + 40.
2*(r - 5)*(r - 4)*(r + 1)
What is n in -5*n**2 + 4790*n - 9560 = 0?
2, 956
Factor -o**2/2 - o + 4.
-(o - 2)*(o + 4)/2
Let z**5/4 - 6*z**4 - 117*z**3/4 + 35*z**2 = 0. What is z?
-5, 0, 1, 28
Determine i, given that -3*i**5/7 - 6*i**4 - 30*i**3/7 + 132*i**2/7 + 201*i/7 + 78/7 = 0.
-13, -1, 2
Determine m so that m**2/5 + 17216*m/5 + 74097664/5 = 0.
-8608
Suppose 2*h**3/15 + 102*h**2/5 + 60*h = 0. Calculate h.
-150, -3, 0
Solve -u**3/4 + 5*u**2/4 - u = 0 for u.
0, 1, 4
Factor -j**4/2 - 5304*j**3 - 14071511*j**2 - 28127112*j - 28121809/2.
-(j + 1)**2*(j + 5303)**2/2
Factor 3*l**5 + 6*l**4 - 45*l**3 + 12*l**2 + 60*l.
3*l*(l - 2)**2*(l + 1)*(l + 5)
Factor 4*l**4/3 - 56*l**3 + 160*l**2 - 472*l/3 + 52.
4*(l - 39)*(l - 1)**3/3
Factor -l**3/3 - 4*l**2 + 15*l.
-l*(l - 3)*(l + 15)/3
Factor 2*j**2/5 - 178*j/5 + 1976/5.
2*(j - 76)*(j - 13)/5
Let -3*y**4/2 - 333*y**3/4 - 807*y**2/4 - 639*y/4 - 159/4 = 0. What is y?
-53, -1, -1/2
Solve 2*n**2 + 296*n - 298 = 0 for n.
-149, 1
Find a, given that -a**5/8 - 7*a**4 - 1081*a**3/8 - 3915*a**2/4 - 3159*a/2 - 729 = 0.
-18, -1
Find s, given that 5*s**3 + 410*s**2 + 9165*s + 30420 = 0.
-39, -4
Solve 2*w**3 - 8*w**2 + 6*w = 0.
0, 1, 3
Factor 5*b**4 + 35*b**3 - 490*b**2.
5*b**2*(b - 7)*(b + 14)
Let -4*r**4 - 40*r**3 - 80*r**2 + 40*r + 84 = 0. Calculate r.
-7, -3, -1, 1
Let -2*u**3 + 152*u**2 - 3680*u + 28800 = 0. Calculate u.
20, 36
What is v in -3*v**4 + 361*v**3/8 - 1815*v**2/8 + 3075*v/8 - 125/8 = 0?
1/24, 5
Let -3*s**2 + 5280*s + 5283 = 0. Calculate s.
-1, 1761
Factor 3*o**3 + 219*o**2 + 636*o + 420.
3*(o + 1)*(o + 2)*(o + 70)
Find a such that 32*a**2 - 2252*a + 840 = 0.
3/8, 70
Determine w so that 4*w**2 + 432*w = 0.
-108, 0
Factor 4*h**2 + 4724*h + 23520.
4*(h + 5)*(h + 1176)
Determine q so that 2*q**4/11 + 4*q**3/11 - 10*q**2/11 - 12*q/11 = 0.
-3, -1, 0, 2
Factor -49*w**2/3 - 616*w/3 - 1936/3.
-(7*w + 44)**2/3
Factor -2*b**5 + 28*b**4 - 120*b**3 + 212*b**2 - 166*b + 48.
-2*(b - 8)*(b - 3)*(b - 1)**3
Solve -28*x**4 + 300*x**3 - 136*x**2 - 624*x - 160 = 0.
-1, -2/7, 2, 10
Determine r so that 136*r**2/7 + 270*r/7 - 4/7 = 0.
-2, 1/68
Find h, given that -3*h**4/4 + 45*h**3/4 - 21*h**2/2 = 0.
0, 1, 14
Factor -5*r**2 - 10*r + 175.
-5*(r - 5)*(r + 7)
Suppose o**2/6 + 1234*o/3 + 761378/3 = 0. Calculate o.
-1234
Determine h so that 5*h**5 - 220*h**4 - 5*h**3 + 220*h**2 = 0.
-1, 0, 1, 44
Solve -1805*y**3 + 3800*y**2 - 385*y + 10 = 0 for y.
1/19, 2
Factor 3*u**3 - 1392*u**2 + 161472*u.
3*u*(u - 232)**2
Factor m**4/12 + 2*m**3/3 - 5*m**2/6 - 2*m/3 + 3/4.
(m - 1)**2*(m + 1)*(m + 9)/12
Solve -175*h**5/4 - 40*h**4 + 515*h**3/4 + 20*h**2 - 85*h + 20 = 0 for h.
-2, -1, 2/7, 4/5, 1
Solve -48*s**5 - 168*s**4 - 75*s**3 - 9*s**2 =