d**2 - 176*d - 184 = 0.
-2/7, 1, 2, 23
Find c such that -3*c**5/4 + 9*c**4 - 15*c**3/2 - 9*c**2 + 33*c/4 = 0.
-1, 0, 1, 11
Factor 135*t**3 - 115*t**2 - 20*t.
5*t*(t - 1)*(27*t + 4)
Factor -3*t**3/4 - 15*t**2/2 + 69*t/4 - 9.
-3*(t - 1)**2*(t + 12)/4
Factor 2*x**3 - 736*x**2 + 1466*x - 732.
2*(x - 366)*(x - 1)**2
Factor -8*n**2/19 + 2520*n/19 - 198450/19.
-2*(2*n - 315)**2/19
Solve -4*l**3/7 + 8*l**2 - 28*l = 0 for l.
0, 7
Determine d so that -3*d**3/4 + 153*d**2 + 615*d/4 = 0.
-1, 0, 205
Factor 2*m**3/11 + 26*m**2/11 - 8*m/11 - 104/11.
2*(m - 2)*(m + 2)*(m + 13)/11
Factor 2*l**2 + 920*l + 105800.
2*(l + 230)**2
Suppose 4*b**5 - 284*b**4 + 816*b**3 + 16*b**2 - 1088*b = 0. What is b?
-1, 0, 2, 68
Factor 2*a**3/7 + 2242*a**2/7 + 624944*a/7 - 1895064/7.
2*(a - 3)*(a + 562)**2/7
Factor 7*x**2/12 + 163*x/12 + 23/6.
(x + 23)*(7*x + 2)/12
Factor 5*f**5 - 5*f**4 - 15*f**3 + 5*f**2 + 10*f.
5*f*(f - 2)*(f - 1)*(f + 1)**2
Factor -b**2/2 + 19*b/2.
-b*(b - 19)/2
Factor -19*s**2 + 106*s - 136.
-(s - 2)*(19*s - 68)
Find t such that -t**5/9 + 56*t**4/9 - 29*t**3 + 302*t**2/9 + 212*t/9 - 136/3 = 0.
-1, 2, 51
Factor -8*b**4/3 - 182*b**3 - 136*b**2/3.
-2*b**2*(b + 68)*(4*b + 1)/3
Factor -3*c**3/2 - 216*c**2 - 16767*c/2 - 42849.
-3*(c + 6)*(c + 69)**2/2
Solve 4*b**5/9 + 22*b**4/9 - 220*b**3/9 + 272*b**2/9 + 104*b/3 - 22 = 0.
-11, -1, 1/2, 3
Factor -2*v**3/7 + 2*v**2 - 8*v/7 - 24/7.
-2*(v - 6)*(v - 2)*(v + 1)/7
Determine h so that -4*h**3 - 2552*h**2 - 10160*h - 10144 = 0.
-634, -2
Factor g**4/3 + 2*g**3 + 13*g**2/3 + 4*g + 4/3.
(g + 1)**2*(g + 2)**2/3
Factor 255*g**4 + 291*g**3 + 36*g**2.
3*g**2*(g + 1)*(85*g + 12)
Determine d, given that 6*d**3/5 - 1828*d**2/5 - 122*d = 0.
-1/3, 0, 305
Factor n**2 - 661*n + 660.
(n - 660)*(n - 1)
Suppose 2*m**5 + 35*m**4 - 351*m**3 + 616*m**2 + 400*m = 0. Calculate m.
-25, -1/2, 0, 4
Factor -9*m**5 - 6*m**4 + 36*m**3 + 54*m**2 + 21*m.
-3*m*(m + 1)**3*(3*m - 7)
Factor 2*y**4/3 - 4*y**3/3.
2*y**3*(y - 2)/3
Solve -4*i**3 + 48*i**2 + 4*i - 48 = 0.
-1, 1, 12
Factor 4*s**2 + 24*s + 32.
4*(s + 2)*(s + 4)
Determine p, given that -p**3/6 - 11*p**2/2 - 46*p/3 - 10 = 0.
-30, -2, -1
Factor -3*c**4 + 9*c**2 - 6*c.
-3*c*(c - 1)**2*(c + 2)
Factor -9*n**4 + 99*n**3 - 345*n**2 + 1475*n/3 - 250.
-(n - 6)*(3*n - 5)**3/3
Factor -z**5 + 6*z**4 - 5*z**3.
-z**3*(z - 5)*(z - 1)
Determine c, given that -c**4/4 - 11*c**3/4 + 27*c**2/4 + 11*c/4 - 13/2 = 0.
-13, -1, 1, 2
Factor -w**4 + 30*w**3 + 31*w**2.
-w**2*(w - 31)*(w + 1)
Determine t so that 21*t**4/8 - 27*t**3/4 - 93*t**2/2 - 45*t = 0.
-2, -10/7, 0, 6
Solve 4*y**4 - 36*y**3 + 24*y**2 + 64*y = 0.
-1, 0, 2, 8
Find c, given that -3*c**5 + 87*c**4 - 243*c**3 + 237*c**2 - 78*c = 0.
0, 1, 26
Suppose 2*m**2/11 - 200*m/11 - 408/11 = 0. What is m?
-2, 102
Factor -2*p**2 - 22*p + 1044.
-2*(p - 18)*(p + 29)
Factor -z**4 + 3*z**3 + 10*z**2.
-z**2*(z - 5)*(z + 2)
Factor -2*t**3/5 + 12*t**2 - 504*t/5 + 784/5.
-2*(t - 14)**2*(t - 2)/5
Let -6*z**4 - 64*z**3 + 172*z**2 - 128*z + 26 = 0. What is z?
-13, 1/3, 1
Suppose -r**2/4 + 100*r - 10000 = 0. Calculate r.
200
Factor 54*w**2/11 + 278*w/11 + 40/11.
2*(w + 5)*(27*w + 4)/11
Factor -q**2/4 + 59*q/4 + 61/2.
-(q - 61)*(q + 2)/4
What is z in -2*z**3/15 + 2*z**2 - 48*z/5 + 224/15 = 0?
4, 7
Suppose 5*p**5/2 - 15*p**4 + 20*p**3 + 15*p**2 - 45*p/2 = 0. Calculate p.
-1, 0, 1, 3
Find v, given that 53*v**3/6 + 213*v**2/2 - 653*v/6 - 13/2 = 0.
-13, -3/53, 1
Let 2*s**4/11 - 26*s**3/11 + 84*s**2/11 + 72*s/11 - 432/11 = 0. What is s?
-2, 3, 6
Factor p**2/8 + 37*p/8 + 9/2.
(p + 1)*(p + 36)/8
Let 2*y**2 - 180*y - 182 = 0. What is y?
-1, 91
What is x in x**2/4 - 48*x + 2304 = 0?
96
Factor -5*n**2/3 - 40*n + 125/3.
-5*(n - 1)*(n + 25)/3
Suppose a**3/7 + 9*a**2/7 - 22*a/7 = 0. Calculate a.
-11, 0, 2
Factor 2*y**2/23 - 268*y/23 + 8978/23.
2*(y - 67)**2/23
Solve -2*z**5/7 + 52*z**4/7 - 346*z**3/7 - 376*z**2/7 + 6432*z/7 - 5760/7 = 0 for z.
-4, 1, 5, 12
Factor -3*f**3 - 36*f**2 + 39*f.
-3*f*(f - 1)*(f + 13)
Determine r, given that r**2 + 1164*r + 338724 = 0.
-582
Find h, given that -2*h**2/3 - 106*h/9 + 1036/9 = 0.
-74/3, 7
Let 4*d**3 - 14*d**2 + 8*d + 8 = 0. Calculate d.
-1/2, 2
Suppose 4*p**3 + 376*p**2 = 0. Calculate p.
-94, 0
Find u, given that 6*u**5/7 + 39*u**4/7 + 6*u**3 - 24*u**2/7 - 48*u/7 - 15/7 = 0.
-5, -1, -1/2, 1
Determine m so that 3*m**4/2 + 819*m**3 + 3267*m**2/2 + 816*m = 0.
-544, -1, 0
Let -16*t**5 + 48*t**4 + 140*t**3 + 96*t**2 + 20*t = 0. Calculate t.
-1, -1/2, 0, 5
Solve 4*m**4 - 80*m**3 + 600*m**2 - 2000*m + 2500 = 0.
5
Factor 3*c**3 - 6033*c**2 + 3030072*c + 3036108.
3*(c - 1006)**2*(c + 1)
Let 3*g**2 + 258*g + 1440 = 0. What is g?
-80, -6
Solve -4*i**2/7 + 44*i/7 - 40/7 = 0 for i.
1, 10
Solve -3267*u**4/2 + 1287*u**3 + 3453*u**2/2 - 780*u - 600 = 0 for u.
-20/33, 1
Determine h, given that -h**5 + 25*h**3 + 60*h**2 + 36*h = 0.
-3, -2, -1, 0, 6
Determine f, given that 3*f**2/2 - 18*f + 33/2 = 0.
1, 11
Determine z, given that 3*z**5 + 2*z**4 - 6*z**3 - 4*z**2 + 3*z + 2 = 0.
-1, -2/3, 1
Find s, given that -4*s**5 - 24*s**4 - 48*s**3 - 40*s**2 - 12*s = 0.
-3, -1, 0
Factor 3*m**2 + 25818*m + 55547427.
3*(m + 4303)**2
Determine x, given that 4*x**5 - 4*x**4 - 28*x**3 + 52*x**2 - 24*x = 0.
-3, 0, 1, 2
Find s such that 2*s**2/9 + 440*s/9 + 24200/9 = 0.
-110
Factor -5*j**4 + 10*j**3 + 75*j**2.
-5*j**2*(j - 5)*(j + 3)
Suppose 3*p**5 - 12*p**4 - 21*p**3 + 102*p**2 + 36*p - 216 = 0. Calculate p.
-2, 2, 3
Let 175*b**3 - 170*b**2 - 355*b - 10 = 0. What is b?
-1, -1/35, 2
Factor 2*c**4/7 - 160*c**3/7 + 3200*c**2/7.
2*c**2*(c - 40)**2/7
Factor -5*a**4 - a**3 + 15*a**2 + 13*a + 2.
-(a - 2)*(a + 1)**2*(5*a + 1)
Determine l, given that -2*l**4/9 + 10*l**3/9 - 4*l**2/9 - 16*l/9 = 0.
-1, 0, 2, 4
Let z**4/4 - 7*z**3/2 + 61*z**2/4 - 21*z + 9 = 0. What is z?
1, 6
Determine o so that o**4 - 30*o**3 + 224*o**2 + 30*o - 225 = 0.
-1, 1, 15
Determine n so that n**5/3 - n**4/3 - 11*n**3/3 + 29*n**2/3 - 26*n/3 + 8/3 = 0.
-4, 1, 2
Factor a**4 + 202*a**3 + 10401*a**2 + 20200*a + 10000.
(a + 1)**2*(a + 100)**2
Let v**5/8 - 17*v**4/4 + 289*v**3/8 = 0. What is v?
0, 17
Factor 3*c**4 + 456*c**3 + 16866*c**2 - 35112*c + 17787.
3*(c - 1)**2*(c + 77)**2
Solve t**3 + 399*t**2 + 39600*t - 40000 = 0 for t.
-200, 1
Let -3*f**4 + 3*f**3 = 0. Calculate f.
0, 1
Suppose r**3/7 - 60*r**2/7 + 47*r/7 + 708/7 = 0. Calculate r.
-3, 4, 59
Find a, given that -1536*a**4 + 2240*a**3 - 1152*a**2 + 252*a - 20 = 0.
1/4, 1/3, 5/8
Factor 3*q**2/2 - 55*q/2 + 9.
(q - 18)*(3*q - 1)/2
Factor -5*o**4/3 + 53*o**3/3 - 118*o**2/3 - 56*o/3.
-o*(o - 7)*(o - 4)*(5*o + 2)/3
Let 2738*r**2/5 - 148*r/5 + 2/5 = 0. Calculate r.
1/37
Factor 4*o**4/9 - 4*o**3/9 - 40*o**2/3 - 304*o/9 - 224/9.
4*(o - 7)*(o + 2)**3/9
Find o, given that o**3/6 + 5*o**2/2 - o/6 - 5/2 = 0.
-15, -1, 1
Factor -34*z**3/7 - 40*z**2/7 + 22*z/7 + 4.
-2*(z + 1)**2*(17*z - 14)/7
Let 12*m**3 - 188*m**2 - 64*m = 0. What is m?
-1/3, 0, 16
Determine o so that -2*o**5 - 6*o**4 + 8*o**2 = 0.
-2, 0, 1
What is f in -3*f**5 - 807*f**4 - 2394*f**3 + 12*f**2 + 3192*f = 0?
-266, -2, 0, 1
Factor 5*h**3 + 370*h**2 + 6845*h.
5*h*(h + 37)**2
Factor 4*k**4 + 520*k**3 + 16368*k**2 - 34848*k.
4*k*(k - 2)*(k + 66)**2
Solve -r**5/2 - 4*r**4 - 15*r**3/2 + 2*r**2 + 10*r = 0 for r.
-5, -2, 0, 1
Find j such that 3*j**4 - 27*j**2 + 12*j + 36 = 0.
-3, -1, 2
Suppose -291*d**2/5 - 234*d - 24/5 = 0. What is d?
-4, -2/97
Find o such that -o**3 - 35*o**2 - 150*o = 0.
-30, -5, 0
Factor 2*d**3/7 + 38*d**2/7 - 300*d/7.
2*d*(d - 6)*(d + 25)/7
What is d in -19*d**3/4 - 59*d**2/2 - 99*d/4 = 0?
-99/19, -1, 0
Find c such that c**3 - 45*c**2 + 168*c - 164 = 0.
2, 41
Factor 3*d**3 - 24*d**2 + 12*d + 144.
3*(d - 6)*(d - 4)*(d + 2)
Find z such that -25*z**4 + 735*z**3 - 4290*z**2 - 17600*z + 7680 = 0.
-3, 2/5, 16
Factor -4*u**3/3 - 2428*u**2/3 + 4868*u/3 - 812.
-4*(u - 1)**2*(u + 609)/3
Let -a**5 + 14*a**4 + 158*a**3 + 396*a**2 + 27*a - 594 = 0. Calculate a.
-3, 1, 22
Determine x so that -2*x**5/3 - 4*x**4/3 + 2*x**3 + 16*x**2/3 + 8*x/3 = 0.
-2, -1, 0, 2
Factor -3*i**4 - 72*i**3 - 198*i**2 - 192*i - 63.
-3*(i + 1)**3*(i + 21)
Factor 21*o**5 + 90*o**4 + 150*o**3 + 120*o**2 + 45*o + 6.
3*(o + 1)**4*(7*o + 2)
Solve -4*f**3/11 + 978*f**2/11 - 60024*f/11 + 29768/11 = 0 for f.
1/2, 122
Suppose -2*t**3/21 - 16*t**2/21 + 10*t