128*l - 2160.
(l - 12)**2*(l - 5)*(11*l + 3)
Find q such that -q**4/2 + 20*q**3 - 123*q**2 + 252*q - 297/2 = 0.
1, 3, 33
Determine o, given that 2*o**3/11 - 24*o**2/11 - 18*o + 220 = 0.
-10, 11
Find k, given that -8*k**5 + 308*k**4 + 804*k**3 + 652*k**2 + 164*k = 0.
-1, -1/2, 0, 41
Factor m**3/2 - 6235*m**2/4 + 3117*m/4.
m*(m - 3117)*(2*m - 1)/4
Solve 3*p**2/4 + 615*p/4 + 603 = 0 for p.
-201, -4
Factor -3*d**4 - 48*d**3 + 9*d**2 + 138*d - 96.
-3*(d - 1)**2*(d + 2)*(d + 16)
Factor 5*m**3/2 + 80*m**2 + 575*m/2 + 210.
5*(m + 1)*(m + 3)*(m + 28)/2
Determine c so that -c**2/6 + 3*c - 28/3 = 0.
4, 14
Factor -8*x**3 - 202*x**2 - 380*x - 186.
-2*(x + 1)**2*(4*x + 93)
Factor k**4/3 - 7*k**3 + 23*k**2/3 + 95*k.
k*(k - 19)*(k - 5)*(k + 3)/3
Suppose 2*t**4/5 - 8*t**3/5 - 4*t**2/5 + 24*t/5 + 18/5 = 0. What is t?
-1, 3
Factor -2*g**4 - 62*g**3 - 510*g**2 - 450*g.
-2*g*(g + 1)*(g + 15)**2
Suppose -2*c**3/9 - 122*c**2/9 - 40*c/3 = 0. Calculate c.
-60, -1, 0
Find l such that -14*l**4 + 116*l**3 - 102*l**2 - 176*l + 56 = 0.
-1, 2/7, 2, 7
Factor -3*m**2 + 12.
-3*(m - 2)*(m + 2)
Solve 2*r**5 - 14*r**4 - 78*r**3 + 190*r**2 - 100*r = 0 for r.
-5, 0, 1, 10
Solve v**5 + 6*v**4 + 14*v**3 + 16*v**2 + 9*v + 2 = 0 for v.
-2, -1
Let -21*c**4/5 + 239*c**3/5 - 294*c**2/5 + 36*c/5 + 8 = 0. Calculate c.
-2/7, 2/3, 1, 10
Let -b**2 - 136*b - 1143 = 0. What is b?
-127, -9
Let -3*g**4/7 + 108*g**3/7 - 633*g**2/7 + 648*g/7 + 1392/7 = 0. What is g?
-1, 4, 29
Solve 2*x**4/7 - 52*x**3 + 16192*x**2/7 + 33856*x/7 = 0.
-2, 0, 92
Suppose -4*u**3 + 1536*u**2 + 9324*u + 14040 = 0. Calculate u.
-3, 390
Solve -4*o**5/3 + 20*o**4 + 156*o**3 + 740*o**2/3 + 112*o = 0.
-4, -1, 0, 21
Factor 4*r**3/5 + 744*r**2/5 + 46128*r/5 + 953312/5.
4*(r + 62)**3/5
Factor 5*g**2 + 165*g + 450.
5*(g + 3)*(g + 30)
Determine g, given that g**4/4 - 5*g**3/4 - 2*g**2 + 3*g = 0.
-2, 0, 1, 6
Determine l, given that 5*l**3 - 10280*l**2 + 5283920*l = 0.
0, 1028
Factor -2116*z**4 - 12328*z**3 - 16852*z**2 + 3216*z - 144.
-4*(z + 3)**2*(23*z - 2)**2
Solve 6*u**5/11 + 90*u**4/11 + 468*u**3/11 + 1068*u**2/11 + 1062*u/11 + 378/11 = 0.
-7, -3, -1
Factor 18*r**2 + 374*r - 84.
2*(r + 21)*(9*r - 2)
Factor m**2/4 - 7*m/4 - 9/2.
(m - 9)*(m + 2)/4
Let -4*u**3 + 1152*u**2 - 2256*u - 9152 = 0. Calculate u.
-2, 4, 286
Factor n**5/2 - 7*n**3/2 - 3*n**2.
n**2*(n - 3)*(n + 1)*(n + 2)/2
Solve -2*i**5 - 64*i**4 - 228*i**3 - 104*i**2 + 230*i + 168 = 0 for i.
-28, -3, -1, 1
Solve 2*k**2/5 + 14*k/5 - 12 = 0 for k.
-10, 3
Suppose -2*t**3/9 - 206*t**2/9 - 6550*t/9 - 66250/9 = 0. Calculate t.
-53, -25
Factor -z**2/5 + 354*z - 156645.
-(z - 885)**2/5
Let -5*a**4 - 55*a**3 - 210*a**2 - 320*a - 160 = 0. What is a?
-4, -2, -1
Factor 2*l**3 + 62*l**2 + 448*l - 512.
2*(l - 1)*(l + 16)**2
Factor 16*l**4/5 - 9*l**3 + 39*l**2/5 - 7*l/5 - 3/5.
(l - 1)**3*(16*l + 3)/5
Find w such that 4*w**5 + 44*w**4 + 36*w**3 - 476*w**2 + 392*w = 0.
-7, 0, 1, 2
Factor -2*u**4 - 1016*u**3 - 130042*u**2 - 256036*u.
-2*u*(u + 2)*(u + 253)**2
Factor -3*a**2/4 + 63*a/4 + 54.
-3*(a - 24)*(a + 3)/4
Suppose -3*g**5 - 42*g**4 - 99*g**3 + 12*g**2 + 132*g = 0. What is g?
-11, -2, 0, 1
Find o such that -2*o**3/3 + 518*o**2/9 + 350*o/9 - 58/3 = 0.
-1, 1/3, 87
Find h, given that h**3/5 + 7*h**2/5 - 88*h/5 + 28 = 0.
-14, 2, 5
Let 3*w**5 - 9*w**4 - 18*w**3 + 78*w**2 - 81*w + 27 = 0. Calculate w.
-3, 1, 3
Let -5*f**3 - 240*f**2 + 1595*f - 1350 = 0. What is f?
-54, 1, 5
Determine b, given that -b**3 - 1762*b**2 - 776161*b = 0.
-881, 0
What is f in 4*f**3 - 2128*f**2 + 287232*f - 1115136 = 0?
4, 264
Factor -3*f**2 - 27*f + 66.
-3*(f - 2)*(f + 11)
Find k, given that -k**2/5 + 152*k/5 + 308/5 = 0.
-2, 154
Factor -o**2/3 - 4*o - 32/3.
-(o + 4)*(o + 8)/3
Find g such that 4*g**5 + 340*g**4 + 4172*g**3 + 13916*g**2 = 0.
-71, -7, 0
Suppose -2*i**2 - 4*i + 30 = 0. What is i?
-5, 3
Let 20*y**2 - 8*y - 64 = 0. Calculate y.
-8/5, 2
Solve -12*j**4 + 928*j**3 - 1220*j**2 + 304*j = 0.
0, 1/3, 1, 76
Solve -36*l**5 + 468*l**4 - 404*l**3 - 356*l**2 + 232*l + 96 = 0 for l.
-2/3, -1/3, 1, 12
Factor 11*y**2 - 7*y - 4.
(y - 1)*(11*y + 4)
Let -2*x**5/11 - 2*x**4 - 68*x**3/11 + 16*x**2/11 + 320*x/11 + 256/11 = 0. What is x?
-4, -1, 2
Factor 5*q**2 - 160*q.
5*q*(q - 32)
Let -4*d**5/7 + 1300*d**4/7 - 5156*d**3/7 + 6428*d**2/7 - 2568*d/7 = 0. What is d?
0, 1, 2, 321
Let -4*h**3/3 + 1430*h**2/3 - 712*h/3 - 238 = 0. What is h?
-1/2, 1, 357
Factor -24*g**2 - 36*g + 21/2.
-3*(4*g - 1)*(4*g + 7)/2
Factor 2*p**4 - 26*p**3 - 356*p**2 - 880*p.
2*p*(p - 22)*(p + 4)*(p + 5)
Find z, given that -z**2/4 + 77*z/2 = 0.
0, 154
What is b in 5*b**4 + 1530*b**3 + 115505*b**2 - 235620*b + 118580 = 0?
-154, 1
Suppose 2*d**5 + 142*d**4 + 2448*d**3 - 2592*d**2 = 0. Calculate d.
-36, 0, 1
Factor -r**4 + 11*r**3 - 42*r**2 + 68*r - 40.
-(r - 5)*(r - 2)**3
Factor l**4/2 + 38*l**3 - 39*l**2 - 38*l + 77/2.
(l - 1)**2*(l + 1)*(l + 77)/2
Solve -2*z**3/5 - 2*z**2 + 2*z/5 + 2 = 0.
-5, -1, 1
Suppose 3*g**3 - 468*g**2 + 3600*g - 7104 = 0. What is g?
4, 148
Factor -c**3/2 + 2*c**2/3 + 13*c/6 + 1.
-(c - 3)*(c + 1)*(3*c + 2)/6
Find r, given that 12*r**5 - 33*r**4 - 273*r**3 + 222*r**2 + 72*r = 0.
-4, -1/4, 0, 1, 6
Determine h so that -2*h**5/7 - 6*h**4/7 - 4*h**3/7 = 0.
-2, -1, 0
Solve 4*p**2 + 664*p + 27556 = 0.
-83
Solve u**5/6 + u**4 + 5*u**3/6 = 0.
-5, -1, 0
Find o, given that 3*o**2 - 54*o/5 - 24/5 = 0.
-2/5, 4
What is x in -2*x**4 - 12*x**3 - 16*x**2 = 0?
-4, -2, 0
Factor y**3/8 + 7*y**2/4 + 59*y/8 + 35/4.
(y + 2)*(y + 5)*(y + 7)/8
Factor -k**2/10 - k/5.
-k*(k + 2)/10
Determine y so that -4*y**5 - 392*y**4 + 800*y**3 - 8*y**2 - 796*y + 400 = 0.
-100, -1, 1
Suppose 2*k**5/3 + 2*k**4 - 24*k**3 - 224*k**2/3 + 96 = 0. Calculate k.
-6, -2, 1, 6
Factor a**5/4 + a**4 + 3*a**3/4 - a**2 - a.
a*(a - 1)*(a + 1)*(a + 2)**2/4
Find o such that 4*o**3/7 + 1052*o**2/7 + 68640*o/7 - 69696/7 = 0.
-132, 1
Factor -3*s**3 - 33*s**2 - 30*s.
-3*s*(s + 1)*(s + 10)
Suppose -4*g**3 + 28*g**2 - 40*g = 0. Calculate g.
0, 2, 5
Let -q**4/3 - q**3 - q**2/3 + q + 2/3 = 0. Calculate q.
-2, -1, 1
Factor t**2/5 - 144*t/5 + 143/5.
(t - 143)*(t - 1)/5
Determine m so that 2*m**5 + 26*m**4 - 342*m**3 + 1134*m**2 - 1188*m = 0.
-22, 0, 3
Factor -2*d**4/3 - 284*d**3/3 - 9794*d**2/3 + 6816*d - 3456.
-2*(d - 1)**2*(d + 72)**2/3
Factor w**3/3 + 46*w**2 + 2116*w + 97336/3.
(w + 46)**3/3
Suppose 39*h**4/7 - 123*h**3/7 - 3*h**2 + 123*h/7 - 18/7 = 0. What is h?
-1, 2/13, 1, 3
Factor -5*s**5 + 10*s**4 + 235*s**3 - 580*s**2 - 2800*s + 8000.
-5*(s - 4)**3*(s + 5)**2
Let 3*x**5 + 33*x**4 + 81*x**3 - 33*x**2 - 84*x = 0. What is x?
-7, -4, -1, 0, 1
Solve 2*r**3/3 + 110*r**2/3 = 0 for r.
-55, 0
Determine p, given that -p**3/2 + 13*p**2/2 - 6*p = 0.
0, 1, 12
Let 2*q**2/3 + 9296*q + 32405856 = 0. What is q?
-6972
Factor 2*j**3 + 34*j**2 + 104*j.
2*j*(j + 4)*(j + 13)
Factor 4*n**2 - 152*n + 1444.
4*(n - 19)**2
Factor g**2 + 27*g - 324.
(g - 9)*(g + 36)
Factor -u**2/3 + 11*u/3 - 8.
-(u - 8)*(u - 3)/3
Factor 3*r**2 + 372*r + 11532.
3*(r + 62)**2
Determine y so that -5*y**2 + 12*y - 7 = 0.
1, 7/5
Factor -6*x**4 + 45*x**3 - 48*x**2 - 36*x.
-3*x*(x - 6)*(x - 2)*(2*x + 1)
Factor -4*o**3 - 24*o**2 + 60*o - 32.
-4*(o - 1)**2*(o + 8)
Factor -4*t**2/7 + 128*t/7 + 272/7.
-4*(t - 34)*(t + 2)/7
Factor 2*j**3/11 + 32*j**2 - 8*j/11 - 128.
2*(j - 2)*(j + 2)*(j + 176)/11
Determine l so that 2*l**2/3 + 2*l/3 - 4/3 = 0.
-2, 1
Solve 2*o**2/5 + 76*o/5 + 74/5 = 0 for o.
-37, -1
Let u**3 + 24*u**2 - 171*u - 5054 = 0. Calculate u.
-19, 14
Factor 5*a**3 + 45*a**2 - 510*a + 800.
5*(a - 5)*(a - 2)*(a + 16)
Find c such that 5*c**3 - 6020*c**2 + 12025*c - 6010 = 0.
1, 1202
Solve 9*f**2/7 - 106*f/7 + 11 = 0 for f.
7/9, 11
Factor -4*r**2 + 60*r + 136.
-4*(r - 17)*(r + 2)
Factor -7*t**3/2 - 29*t**2 - 65*t/2 - 7.
-(t + 1)*(t + 7)*(7*t + 2)/2
Let y**5 - 4*y**4 - 41*y**3 - 36*y**2 = 0. What is y?
-4, -1, 0, 9
Let 3*n**2 + 45*n - 102 = 0. What is n?
-17, 2
Determine u so that -u**2/3 - 35*u/9 + 272/9 = 0.
-17, 16/3
Factor 3*z**4/7 - 27*z**3/7 + 90*z**2/7 - 132*z/7 + 72/7.
3*(z - 3)*(z - 2)**3/7
Factor 2*o**2/3 - 2080*o + 1622400.
2*(o - 1560)**2/3
Suppose 3*v**3 + 45*v**2 - 1686*v - 1728 = 0. Calculate v.
-32, -1, 18
Factor 2*n**2 - 156*n - 158.
2*(n - 79)*(n + 1)
Let 3*g**3/2 - 5*g**2 - 9*g/2 + 2 = 0. What is g?
-1, 1/3, 4
Factor 50