 1)**2*(a + 2)*(a + 5)/2
Factor 5*q**4 + 15*q**3 - 25*q**2 - 15*q + 20.
5*(q - 1)**2*(q + 1)*(q + 4)
Suppose -2*h**2/13 + 1064*h/13 - 141512/13 = 0. What is h?
266
Factor 4*z**3 - 124*z**2 + 912*z.
4*z*(z - 19)*(z - 12)
Factor -3*y**2/2 + 807*y - 217083/2.
-3*(y - 269)**2/2
Find i such that -4*i**4 + 260*i**3 + 264*i**2 = 0.
-1, 0, 66
Suppose 2*d**3 + 108*d**2 = 0. What is d?
-54, 0
Find i, given that -9*i**5/5 + 51*i**4/5 + 66*i**3/5 - 756*i**2/5 + 264*i - 672/5 = 0.
-4, 1, 2, 14/3
Factor p**4/2 - 17*p**3 - 54*p**2 - 55*p - 37/2.
(p - 37)*(p + 1)**3/2
Determine q so that -4*q**5 + 20*q**4 - 28*q**3 + 12*q**2 = 0.
0, 1, 3
Let -4*i**3/7 - 8*i**2 - 256*i/7 - 384/7 = 0. Calculate i.
-6, -4
Solve 5*n**5 + 45*n**4 - 240*n**3 + 260*n**2 = 0 for n.
-13, 0, 2
Solve 125*y**4/2 + 2025*y**3/2 - 4590*y**2 + 3170*y - 600 = 0 for y.
-20, 2/5, 3
Suppose 27*w**5/5 + 567*w**4/5 + 3249*w**3/5 + 2881*w**2/5 + 184*w + 20 = 0. What is w?
-10, -1/3
Factor -2*d**3/9 + 70*d**2/9 + 2*d/9 - 70/9.
-2*(d - 35)*(d - 1)*(d + 1)/9
Factor -x**3/3 + 427*x**2/3 - 15265*x + 15123.
-(x - 213)**2*(x - 1)/3
Determine p, given that 2*p**2/7 - 24*p/7 + 72/7 = 0.
6
Find m, given that -4*m**4 + 52*m**3 - 84*m**2 - 340*m - 200 = 0.
-1, 5, 10
Factor -h**3 + 3*h**2 + 22*h - 24.
-(h - 6)*(h - 1)*(h + 4)
Find s, given that 4*s**4 - 12*s**3 - 4*s**2 + 12*s = 0.
-1, 0, 1, 3
Determine j so that -2*j**2 + 74*j + 1980 = 0.
-18, 55
Solve z**3/4 + 15*z**2 - 189*z/4 = 0 for z.
-63, 0, 3
Factor 2*p**4/13 + 112*p**3/13 + 110*p**2/13.
2*p**2*(p + 1)*(p + 55)/13
Factor -t**4 - 2*t**3 + 3*t**2.
-t**2*(t - 1)*(t + 3)
Factor -5*s**4 + 115*s**3 - 715*s**2 + 605*s.
-5*s*(s - 11)**2*(s - 1)
Factor q**3/5 + 56*q**2/5 - 1196*q/5 - 76176/5.
(q - 36)*(q + 46)**2/5
Factor -4*b**2/5 + 76*b/5 - 72/5.
-4*(b - 18)*(b - 1)/5
Factor -231*t**3/2 - 141*t**2/2 - 9*t.
-3*t*(7*t + 3)*(11*t + 2)/2
Let l**4/3 + 4*l**3/3 - 11*l**2/3 + 2*l = 0. What is l?
-6, 0, 1
Factor 40*v**3/7 + 22*v**2/7 - 8*v/7.
2*v*(4*v - 1)*(5*v + 4)/7
Factor -2*l**2/11 - 446*l/11.
-2*l*(l + 223)/11
Suppose -7*n**2 - 163*n - 46 = 0. What is n?
-23, -2/7
Factor -2*q**3 + 20*q**2 - 34*q + 16.
-2*(q - 8)*(q - 1)**2
Factor 5*y**3 + 405*y**2 - 420*y - 820.
5*(y - 2)*(y + 1)*(y + 82)
Factor 2*a**3 - 7714*a**2 + 7434366*a + 7442082.
2*(a - 1929)**2*(a + 1)
What is m in 4*m**2 - 24*m - 108 = 0?
-3, 9
Factor -75*x**3 - 9585*x**2 - 7632*x - 1524.
-3*(x + 127)*(5*x + 2)**2
Factor -16*m**3 + 6332*m**2 - 23504*m - 6272.
-4*(m - 392)*(m - 4)*(4*m + 1)
Solve 3*q**3 + 30*q**2 - 81*q - 108 = 0.
-12, -1, 3
Factor 2*t**4/5 - 2*t**3 + 2*t**2/5 + 42*t/5 - 36/5.
2*(t - 3)**2*(t - 1)*(t + 2)/5
Find b such that 28*b**2 - 16920*b + 4832 = 0.
2/7, 604
Factor -z**3/4 - 225*z**2/4 - 3192*z - 3136.
-(z + 1)*(z + 112)**2/4
Find o such that -5*o**2 - 35*o + 220 = 0.
-11, 4
Let l**3 + 11*l**2 - 57*l + 45 = 0. Calculate l.
-15, 1, 3
Find b such that -b**4 + 10*b**3 - 13*b**2 - 60*b - 36 = 0.
-1, 6
Suppose h**5 + 2*h**4 - 2*h**3 - 4*h**2 + h + 2 = 0. Calculate h.
-2, -1, 1
Find y, given that y**3/3 + 7*y**2/3 + 14*y/3 + 8/3 = 0.
-4, -2, -1
Let w**3/2 + 2*w**2 = 0. Calculate w.
-4, 0
What is v in -2*v**4/3 + 4*v**3/3 + 22*v**2/3 - 8*v = 0?
-3, 0, 1, 4
Suppose 7*x**5/3 - 10*x**4 + x**3/3 + 10*x**2 - 8*x/3 = 0. Calculate x.
-1, 0, 2/7, 1, 4
Factor 3*o**2 - 13458*o + 15093147.
3*(o - 2243)**2
Find h such that -2*h**3 + 2*h**2 + 16*h - 24 = 0.
-3, 2
Factor 2*t**4/7 - 2*t**3 - 6*t**2 + 54*t/7.
2*t*(t - 9)*(t - 1)*(t + 3)/7
Factor 2*f**3/11 - 82*f**2/11 + 332*f/11 + 1008/11.
2*(f - 36)*(f - 7)*(f + 2)/11
Solve -q**5/4 + 39*q**4/2 + 41*q**3/2 - 59*q**2 - 81*q/4 + 79/2 = 0 for q.
-2, -1, 1, 79
Suppose 3*z**5/4 + z**4 - 13*z**3/4 - 9*z**2/2 + z + 2 = 0. What is z?
-2, -1, 2/3, 2
Factor -2*n**5 + 2*n**4 + 32*n**3 + 40*n**2.
-2*n**2*(n - 5)*(n + 2)**2
Factor -2*s**4/5 + 2*s**3 + 16*s**2/5 - 24*s/5.
-2*s*(s - 6)*(s - 1)*(s + 2)/5
Factor u**2/3 - 194*u.
u*(u - 582)/3
Factor 3*t**2/4 + 381*t/2 + 48387/4.
3*(t + 127)**2/4
Solve 2*t**4/17 - 336*t**3/17 + 1188*t**2 - 29376*t + 234090 = 0.
15, 51
Factor 5*f**5 + 90*f**4 - 195*f**3 + 100*f**2.
5*f**2*(f - 1)**2*(f + 20)
Factor -3*q**2 + 321*q - 630.
-3*(q - 105)*(q - 2)
Suppose -f**3/3 - 19*f**2/3 + 110*f = 0. Calculate f.
-30, 0, 11
Factor -f**3/5 + 24*f**2 + 492*f/5 + 496/5.
-(f - 124)*(f + 2)**2/5
Solve 4*m**3 + 140*m**2 + 1292*m + 1156 = 0 for m.
-17, -1
Solve 2*g**2/7 + 16392*g/7 + 33587208/7 = 0 for g.
-4098
Factor 2*q**3/5 - 372*q**2/5 + 358*q/5 + 444.
2*(q - 185)*(q - 3)*(q + 2)/5
Factor r**4/2 - 5*r**3 + 27*r**2/2 - 9*r.
r*(r - 6)*(r - 3)*(r - 1)/2
Factor -h**5/3 - 1864*h**4/3 - 3725*h**3/3 - 1862*h**2/3.
-h**2*(h + 1)**2*(h + 1862)/3
Factor -2*g**4/15 - 104*g**3/3.
-2*g**3*(g + 260)/15
Determine w so that 5*w**2/4 + w/4 = 0.
-1/5, 0
Find o such that -2*o**3/11 - 16*o**2 - 3690*o/11 + 8100/11 = 0.
-45, 2
Factor 5*h**3 + 45*h**2 + 130*h + 120.
5*(h + 2)*(h + 3)*(h + 4)
Solve -4*z**2 - 40*z - 96 = 0 for z.
-6, -4
Determine f so that 4*f**5 - 252*f**4 + 1628*f**3 - 3412*f**2 + 2928*f - 896 = 0.
1, 4, 56
Factor 4*b**2 - 84*b + 152.
4*(b - 19)*(b - 2)
Suppose -5*l**2 + 18170*l - 16507445 = 0. What is l?
1817
Suppose 4*i**4 + 180*i**3 + 348*i**2 + 172*i = 0. What is i?
-43, -1, 0
Factor -2*l**3/9 + 242*l**2/9 - 1840*l/9 + 3616/9.
-2*(l - 113)*(l - 4)**2/9
Suppose -o**3/4 - 3*o**2/2 + 15*o/4 + 25 = 0. What is o?
-5, 4
Factor 4*r**4 - 12*r**3 - 108*r**2 + 236*r - 120.
4*(r - 6)*(r - 1)**2*(r + 5)
Find o such that -o**5/4 - 91*o**4/4 - 2203*o**3/4 - 6073*o**2/4 - 1474*o - 484 = 0.
-44, -1
Let -y**4/7 + 13*y**3/7 - 12*y**2/7 = 0. Calculate y.
0, 1, 12
Find i such that -3*i**3/2 - 141*i**2/2 - 792*i + 864 = 0.
-24, 1
Solve 2*i**2/3 - 3668*i/3 - 3670/3 = 0 for i.
-1, 1835
Factor -2*t**2/7 + 18/7.
-2*(t - 3)*(t + 3)/7
Solve -2*p**2/5 + 322*p/5 - 372 = 0 for p.
6, 155
Factor 2*y**5/7 + 4*y**4 + 120*y**3/7 + 144*y**2/7.
2*y**2*(y + 2)*(y + 6)**2/7
Suppose -b**4/2 - 4*b**3 - 7*b**2/2 = 0. What is b?
-7, -1, 0
Suppose 4*k**3/7 + 128*k**2/7 - 4*k/7 - 128/7 = 0. What is k?
-32, -1, 1
Find p, given that -2*p**3 - 722*p**2 + 2180*p - 1456 = 0.
-364, 1, 2
Factor 25*l**4/2 + 1235*l**3/2 - 747*l**2/2 + 749*l/10 - 5.
(l + 50)*(5*l - 1)**3/10
Solve -k**2/5 + 79*k/5 + 84 = 0.
-5, 84
Suppose 5*w**4 - 45*w**3 + 10*w**2 + 240*w = 0. Calculate w.
-2, 0, 3, 8
Factor -4*h**3/7 + 3376*h**2/7 - 4780*h + 83400/7.
-4*(h - 834)*(h - 5)**2/7
What is l in 3*l**4/8 - 55*l**3/2 - 839*l**2/8 - 155*l/2 + 77/2 = 0?
-2, 1/3, 77
Solve o**5 - 20*o**4 + 70*o**3 - 100*o**2 + 65*o - 16 = 0.
1, 16
Factor 2*l**5/7 + 2*l**4 + 20*l**3/7 - 4*l**2/7 - 22*l/7 - 10/7.
2*(l - 1)*(l + 1)**3*(l + 5)/7
Solve 2*t**2 + 28*t - 64 = 0 for t.
-16, 2
Find f such that -2*f**5/7 + 10*f**4/7 + 2*f**3/7 - 10*f**2/7 = 0.
-1, 0, 1, 5
Let -q**4 + 13*q**3/3 - 16*q**2/3 + 4*q/3 = 0. Calculate q.
0, 1/3, 2
Factor 2*n**2/9 - 2200*n/9 + 605000/9.
2*(n - 550)**2/9
Factor -4*j**3/3 - 24*j**2 + 112*j + 7840/3.
-4*(j - 10)*(j + 14)**2/3
Find d, given that -5*d**4 - 870*d**3 - 865*d**2 = 0.
-173, -1, 0
Let -x**3 + 73*x**2 - 1368*x + 1296 = 0. What is x?
1, 36
Find r, given that -2*r**2/11 - 114*r/11 - 1444/11 = 0.
-38, -19
Factor h**2/3 - 4*h - 13/3.
(h - 13)*(h + 1)/3
Factor a**5 + 83*a**4 + 2755*a**3 + 45713*a**2 + 379168*a + 1257728.
(a + 16)**2*(a + 17)**3
What is c in -2*c**5/7 + 16*c**4/7 - 6*c**3 + 4*c**2 + 40*c/7 - 48/7 = 0?
-1, 2, 3
Find k, given that -2*k**3/3 + 32*k**2/3 - 128*k/3 = 0.
0, 8
What is c in 12*c**3 + 16*c**2 + 4*c = 0?
-1, -1/3, 0
Let -2*r**2/11 - 758*r/11 - 1508/11 = 0. What is r?
-377, -2
Factor -4*m**5/5 + 756*m**4/5 - 42552*m**3/5 + 352728*m**2/5 + 19024956*m/5 + 106436916/5.
-4*(m - 69)**3*(m + 9)**2/5
Factor 2*n**4/3 - 6*n**3 + 16*n**2/3.
2*n**2*(n - 8)*(n - 1)/3
Suppose -v**2/2 + 15*v/2 - 7 = 0. Calculate v.
1, 14
Determine k, given that -10*k**3/3 + 284*k**2 - 54*k - 680/3 = 0.
-4/5, 1, 85
Factor -5*w**2/3 - 4085*w/3 + 4090/3.
-5*(w - 1)*(w + 818)/3
Suppose -a**5/3 - 14*a**4/3 + 131*a**3/3 - 108*a**2 + 84*a = 0. Calculate a.
-21, 0, 2, 3
Determine m so that -2*m**3/5 - 88*m**2/5 - 802*m/5 + 1972/5 = 0.
-29, -17, 2
Factor -2*g**4/11 - 14*g**3/11 - 2*g**2 - 10*g/11.
-2*g*(g + 1)**2*(g + 5)/11
Solve 2*b**2/19 - 788*b/19 + 786/19 = 0 for b.
1, 393
Factor -a**3/2 + 2092*a**2 + 8371*a/2 + 2093.
-(a -