olve -48*r**3 + 9480*r**2 - 4731*r + 591 = 0 for r.
1/4, 197
Factor 4*u**3 + 220*u**2.
4*u**2*(u + 55)
Determine n so that 3*n**5/7 - 15*n**4/7 - 54*n**3/7 + 60*n**2/7 + 24*n = 0.
-2, 0, 2, 7
Factor 2*m**2/3 + 11*m/3 + 5/3.
(m + 5)*(2*m + 1)/3
Solve -3*c**5/5 - 143*c**4/5 - 1987*c**3/5 - 9821*c**2/5 - 2502*c - 4536/5 = 0 for c.
-28, -9, -1, -2/3
Let -16*w**4 - 52*w**3 + 148*w**2 + 424*w + 96 = 0. What is w?
-4, -2, -1/4, 3
Factor 3*y**5/2 + 3*y**4 - 12*y**3 + 3*y**2 + 21*y/2 - 6.
3*(y - 1)**3*(y + 1)*(y + 4)/2
Suppose 376484511*r**5/7 - 170611584*r**4/7 + 25285143*r**3/7 - 1150242*r**2/7 - 1572*r - 24/7 = 0. Calculate r.
-1/239, 2/13
Factor 5*b**2 + 4930*b + 1215245.
5*(b + 493)**2
Factor -2*n**2/17 - 2492*n/17 - 776258/17.
-2*(n + 623)**2/17
Let 2*i**4/9 - 2480*i**3/9 + 768800*i**2/9 = 0. Calculate i.
0, 620
Find f, given that -2*f**2/3 - 12*f - 54 = 0.
-9
Let 4*z**2 - 184*z + 1092 = 0. What is z?
7, 39
Suppose 3*k**4/2 + 24*k**3 + 213*k**2/2 + 84*k - 216 = 0. Calculate k.
-9, -4, 1
What is r in 3*r**4/4 + 21*r**3 - 21*r**2/4 - 303*r/2 - 126 = 0?
-28, -2, -1, 3
What is i in 5*i**5 - 105*i**4 + 375*i**3 + 1805*i**2 + 2040*i + 720 = 0?
-1, 12
Determine t so that -11*t**2 - 21*t + 2 = 0.
-2, 1/11
Determine a so that 2*a**2/11 - 4178*a/11 - 8364/11 = 0.
-2, 2091
Solve -3*f**4/5 - 51*f**3/5 - 189*f**2/5 + 243*f/5 = 0.
-9, 0, 1
Determine v, given that 2*v**5/3 + 22*v**4/3 + 20*v**3 + 20*v**2/3 - 62*v/3 - 14 = 0.
-7, -3, -1, 1
Determine m, given that -2*m**3 + 54*m**2 - 48*m - 104 = 0.
-1, 2, 26
Factor 2*o**3 - 17*o**2 - 10*o + 9.
(o - 9)*(o + 1)*(2*o - 1)
Factor -3*r**2 - 102*r - 99.
-3*(r + 1)*(r + 33)
Let -4*n**2/5 + 168*n = 0. Calculate n.
0, 210
Factor 3*j**4 - 12*j**3 + 9*j**2.
3*j**2*(j - 3)*(j - 1)
Suppose 2*m**2/3 + 20*m/3 + 16 = 0. What is m?
-6, -4
Factor 2*p**3/3 + 542*p**2/3 + 1236*p + 1056.
2*(p + 1)*(p + 6)*(p + 264)/3
Let -2*l**2/5 + 272*l - 46240 = 0. Calculate l.
340
Solve -3*g**4 + 33*g**3 - 126*g**2 + 204*g - 120 = 0 for g.
2, 5
Determine q, given that -3*q**2 + 933*q + 936 = 0.
-1, 312
Suppose -3*q**2/4 + 81*q/4 = 0. Calculate q.
0, 27
Let -5*b**3 - 195*b**2 + 200*b = 0. What is b?
-40, 0, 1
Let -25*j**3/3 - 335*j**2/3 - 131*j/3 - 13/3 = 0. What is j?
-13, -1/5
Solve 3*c**2 + 474*c + 18723 = 0 for c.
-79
Let -2*w**5/5 + 134*w**4/5 - 876*w**3/5 + 440*w**2 - 2416*w/5 + 192 = 0. Calculate w.
1, 2, 60
Factor 2*o**4 + 302*o**3 + 15300*o**2 + 265000*o + 250000.
2*(o + 1)*(o + 50)**3
Factor -50*c**2/3 - 2*c.
-2*c*(25*c + 3)/3
Factor 3*u**2 - 27*u + 42.
3*(u - 7)*(u - 2)
Suppose -2*v**4/9 - 14*v**3/3 - 40*v**2/9 = 0. Calculate v.
-20, -1, 0
Determine m, given that -2*m**4/5 - 166*m**3/3 - 636*m**2/5 - 544*m/15 = 0.
-136, -2, -1/3, 0
Let 4*o**3 - 48*o**2 - 16*o + 192 = 0. What is o?
-2, 2, 12
Solve -2*j**3/17 + 94*j**2 + 3202*j/17 + 1602/17 = 0.
-1, 801
Suppose -3*v**3 + 3*v**2 + 3*v - 3 = 0. What is v?
-1, 1
Find d, given that -2*d**2 + 102*d - 1156 = 0.
17, 34
Suppose 35*o**4/2 + 6235*o**3/2 - 5375*o**2/2 - 895*o/2 = 0. Calculate o.
-179, -1/7, 0, 1
Determine z, given that 2*z**4/9 + 8086*z**3/9 = 0.
-4043, 0
Let -35*i**5 - 1180*i**4 - 11735*i**3 - 28050*i**2 + 9000*i = 0. Calculate i.
-15, -4, 0, 2/7
Find k such that -5*k**2 + 32840*k - 53923280 = 0.
3284
Find c such that 4*c**2 + 112*c - 116 = 0.
-29, 1
Factor 2*k**3 + 388*k**2 + 1126*k - 3820.
2*(k - 2)*(k + 5)*(k + 191)
What is j in -2*j**2/7 + 80*j/7 - 78/7 = 0?
1, 39
Factor -5*u**3 + 40*u**2 + 45*u.
-5*u*(u - 9)*(u + 1)
Determine c so that 26*c**4/9 - 44*c**3/9 - 94*c**2/9 - 8*c/3 = 0.
-1, -4/13, 0, 3
Factor 3*g**2 + 12*g - 180.
3*(g - 6)*(g + 10)
Factor 2*k**2/3 + 68*k/3 - 48.
2*(k - 2)*(k + 36)/3
Find w such that 3*w**4/5 + 27*w**3/5 + 15*w**2 + 81*w/5 + 6 = 0.
-5, -2, -1
Factor -c**2 + 2*c.
-c*(c - 2)
Let 12*r**3 - 11*r**2 - r = 0. Calculate r.
-1/12, 0, 1
Factor -4*z**5 + 40*z**4 - 52*z**3 - 240*z**2 - 144*z.
-4*z*(z - 6)**2*(z + 1)**2
Factor -4*p**3 - 136*p**2 - 1456*p - 4704.
-4*(p + 6)*(p + 14)**2
Suppose -5*k**4/3 - 35*k**3/6 + 205*k**2/6 - 265*k/6 + 35/2 = 0. Calculate k.
-7, 1, 3/2
Factor u**5/3 - 2*u**4/3 - 20*u**3/3 + 62*u**2/3 - 61*u/3 + 20/3.
(u - 4)*(u - 1)**3*(u + 5)/3
Factor -4*o**3 + 656*o**2 - 2560*o.
-4*o*(o - 160)*(o - 4)
Suppose 6*b**2/7 + 2740*b/7 - 914/7 = 0. What is b?
-457, 1/3
Factor 2*w**4/13 - 2*w**2 + 24*w/13.
2*w*(w - 3)*(w - 1)*(w + 4)/13
Determine t, given that -5*t**5 + 110*t**4 - 440*t**3 - 670*t**2 + 445*t + 560 = 0.
-1, 1, 7, 16
Find b such that 5*b**5 - 55*b**4 - 100*b**3 + 420*b**2 + 720*b = 0.
-2, 0, 3, 12
Factor 64516*m**3 - 131064*m**2 + 4080*m - 32.
4*(m - 2)*(127*m - 2)**2
Factor -16*j**3/3 - 1060*j**2/3 + 2168*j/3 - 364.
-4*(j - 1)**2*(4*j + 273)/3
Suppose 507*z**4/7 + 156*z**3/7 + 12*z**2/7 = 0. Calculate z.
-2/13, 0
Factor 15*b**2/2 - 755*b/2 - 785.
5*(b + 2)*(3*b - 157)/2
Factor 2*p**3 - 514*p**2 + 34272*p - 158760.
2*(p - 126)**2*(p - 5)
Factor 3*h**2 - 378*h + 375.
3*(h - 125)*(h - 1)
Determine y so that -y**4/4 + 7*y**3/2 - 25*y**2/4 + 3*y = 0.
0, 1, 12
Solve 3*q**3 - 42*q**2 + 93*q + 378 = 0 for q.
-2, 7, 9
Find s such that 9*s**3/5 + 78*s**2/5 - 33*s/5 - 54/5 = 0.
-9, -2/3, 1
Determine z so that -3*z**2 - 33*z + 1170 = 0.
-26, 15
Let -2*h**3/7 - 22*h**2/7 + 2*h/7 + 22/7 = 0. What is h?
-11, -1, 1
Solve 4*h**4/3 + 4*h**3 - 16*h/3 = 0 for h.
-2, 0, 1
Find x, given that x**2/3 + 112*x/3 - 113/3 = 0.
-113, 1
Determine u so that -49*u**5/4 + 49*u**4/4 + 51*u**3/2 - u**2 - 2*u = 0.
-1, -2/7, 0, 2/7, 2
Factor -3*p**4/2 - 165*p**3 + 336*p**2.
-3*p**2*(p - 2)*(p + 112)/2
Find w, given that 54*w**2/13 - 5990*w/13 - 444/13 = 0.
-2/27, 111
Suppose -4*w**5/5 - 384*w**4/5 - 12284*w**3/5 - 130688*w**2/5 + 12288*w/5 + 131072/5 = 0. Calculate w.
-32, -1, 1
Find q such that -3*q**4/5 + 29*q**3/5 - 72*q**2/5 + 36*q/5 = 0.
0, 2/3, 3, 6
Let -4*s**3 - 1432*s**2 - 126720*s + 259200 = 0. Calculate s.
-180, 2
Determine u so that -15*u**3/7 - 12*u**2 + 36*u/7 = 0.
-6, 0, 2/5
What is x in -18*x**5/5 + 48*x**4/5 - 44*x**3/5 + 16*x**2/5 - 2*x/5 = 0?
0, 1/3, 1
Solve c**5/4 + c**4/2 - 11*c**3/4 - 10*c**2 - 11*c - 4 = 0 for c.
-2, -1, 4
Factor -6*h**3/5 - 3318*h**2/5 - 91410*h + 460374/5.
-6*(h - 1)*(h + 277)**2/5
Factor m**5 + 13*m**4 + 60*m**3 + 112*m**2 + 64*m.
m*(m + 1)*(m + 4)**3
What is m in 4*m**2 - 12996*m - 13000 = 0?
-1, 3250
Suppose 2*m**4/3 - 34*m**3/3 - 128*m**2/3 + 136*m/3 + 160 = 0. What is m?
-3, -2, 2, 20
Factor 5*j**3 + 830*j**2.
5*j**2*(j + 166)
Solve -2*i**3 - 76*i**2 - 722*i = 0.
-19, 0
Solve -4*a**5 - 540*a**4 - 1592*a**3 - 1056*a**2 = 0.
-132, -2, -1, 0
What is q in 4*q**2 - 24088*q + 36264484 = 0?
3011
Factor -30*d**2/11 + 254*d/11 - 28.
-2*(d - 7)*(15*d - 22)/11
Determine n so that 8*n**5 - 14*n**4 - 4*n**3 + 16*n**2 - 4*n - 2 = 0.
-1, -1/4, 1
Solve 6*s**4 + 130*s**3 + 78*s**2 - 130*s - 84 = 0 for s.
-21, -1, -2/3, 1
Determine m so that -192*m**3 + 32*m**2 + 4*m = 0.
-1/12, 0, 1/4
Factor -2*i**3 - 18*i**2 + 32*i + 288.
-2*(i - 4)*(i + 4)*(i + 9)
Let 2*d**4/3 + 4*d**3/3 - 2*d**2 = 0. What is d?
-3, 0, 1
What is x in -3*x**2/5 - 1386*x/5 + 1389/5 = 0?
-463, 1
Factor 14*s**3 + 360*s**2 + 862*s - 276.
2*(s + 3)*(s + 23)*(7*s - 2)
Factor -2*o**3 + 30*o**2 + 66*o + 34.
-2*(o - 17)*(o + 1)**2
Factor -16*r**2/5 - 5204*r/5 - 260.
-4*(r + 325)*(4*r + 1)/5
Solve -c**5/9 - 4*c**4/3 - 10*c**3/9 + 4*c**2/3 + 11*c/9 = 0 for c.
-11, -1, 0, 1
What is h in 5*h**5 - 5*h**4 = 0?
0, 1
Factor -l**3/2 - 139*l**2 + 1409*l/2 - 849.
-(l - 3)*(l - 2)*(l + 283)/2
Factor 2*s**4/5 + 6*s**3/5 - 6*s**2/5 - 14*s/5 + 12/5.
2*(s - 1)**2*(s + 2)*(s + 3)/5
Solve -j**3/2 + 19*j**2 + 82*j + 84 = 0.
-2, 42
Factor 5*t**4 + 20*t**3 - 15*t**2 - 70*t - 40.
5*(t - 2)*(t + 1)**2*(t + 4)
Solve 14*b**3/3 + 131*b**2/2 - 200*b/3 + 25/2 = 0.
-15, 1/4, 5/7
Factor -3*n**2 - 537*n + 3906.
-3*(n - 7)*(n + 186)
Factor 3*i**4 + 3*i**3 - 9*i**2 - 3*i + 6.
3*(i - 1)**2*(i + 1)*(i + 2)
Find a, given that -4*a**4/5 - 68*a**3/5 + 464*a**2/5 + 528*a/5 = 0.
-22, -1, 0, 6
Suppose 3*h**5 + 3*h**4 - 42*h**3 + 12*h**2 + 120*h - 96 = 0. What is h?
-4, -2, 1, 2
Factor -3*f**3/2 + 18*f**2 + 39*f/2.
-3*f*(f - 13)*(f + 1)/2
Factor 3*p**2/7 - 108*p/7 - 4575/7.
3*(p - 61)*(p + 25)/7
Let -4*j**3 + 64*j = 0. Calculate j.
-4, 0, 4
Factor 2*a**3/11 - 420*a**2/11 + 29400*a/11 - 686000/11.
2*(a - 70)**3/11
Fa