z + 47)**3
Factor 4*a**4 + 48*a**3 - 468*a**2 + 1168*a - 912.
4*(a - 3)*(a - 2)**2*(a + 19)
Determine l, given that -l**5 - 15*l**4 + 3*l**3/4 + 23*l**2/2 + 15*l/4 = 0.
-15, -1/2, 0, 1
Factor -3*t**4/4 - 231*t**3/4 - 5145*t**2/4 - 25725*t/4.
-3*t*(t + 7)*(t + 35)**2/4
Factor -3*f**4/5 - 21*f**3 - 1188*f**2/5 - 3888*f/5 + 5184/5.
-3*(f - 1)*(f + 12)**3/5
Solve -711*x**4 + 1428*x**3 - 723*x**2 + 6*x = 0 for x.
0, 2/237, 1
Find q, given that -q**2/2 + 183*q/10 - 54/5 = 0.
3/5, 36
Let g**5 - 243*g**4/7 - 203*g**3 - 2325*g**2/7 - 1394*g/7 - 240/7 = 0. Calculate g.
-3, -1, -2/7, 40
Factor 8*t**2/3 - 442*t/3 - 112.
2*(t - 56)*(4*t + 3)/3
Find j, given that -j**2/3 - 368*j/3 + 1865/3 = 0.
-373, 5
Suppose -k**5/5 - 34*k**4/5 + 72*k**3/5 - 2*k**2/5 - 71*k/5 + 36/5 = 0. What is k?
-36, -1, 1
Find c such that 3*c**2/2 + 27*c/2 - 33 = 0.
-11, 2
Factor -2*v**2 - 154*v.
-2*v*(v + 77)
Let -3*k**2 + 6*k = 0. What is k?
0, 2
Suppose -2*x**5/9 + 22*x**4/9 + 28*x**3/3 + 8*x**2/9 - 112*x/9 = 0. Calculate x.
-2, 0, 1, 14
What is d in -4*d**3 + 8*d**2 + 12*d = 0?
-1, 0, 3
Let -225*c**3 - 1362*c**2 - 2097*c - 108 = 0. What is c?
-3, -4/75
Solve 5*i**4 - 1165*i**3 + 68440*i**2 - 67280*i = 0.
0, 1, 116
Factor -2*z**2/19 - 68*z/19 - 578/19.
-2*(z + 17)**2/19
Determine o, given that 3*o**2/2 - 10347*o + 35686803/2 = 0.
3449
Solve 2*o**3/7 - 12*o**2/7 - 18*o - 216/7 = 0 for o.
-3, 12
Factor w**4 - 15*w**3 - w**2 + 15*w.
w*(w - 15)*(w - 1)*(w + 1)
Find r such that 4*r**5 + 492*r**4 + 484*r**3 - 492*r**2 - 488*r = 0.
-122, -1, 0, 1
Factor -3*k**4 - 74*k**3 + 672*k**2 - 1024*k.
-k*(k - 2)*(k + 32)*(3*k - 16)
Solve -28*c**4 + 40*c**3 + 1776*c**2/7 + 928*c/7 + 128/7 = 0 for c.
-2, -2/7, 4
Determine o, given that -5*o**4 + 75*o**3 + 260*o**2 + 180*o = 0.
-2, -1, 0, 18
Factor -5*f**2/4 - 1445*f.
-5*f*(f + 1156)/4
Let -9*p**5 + 24*p**4 - 21*p**3 + 6*p**2 = 0. Calculate p.
0, 2/3, 1
Suppose f**4 + 11*f**3 + 26*f**2 + 16*f = 0. What is f?
-8, -2, -1, 0
Determine o, given that 16*o**4 + 76*o**3 + 12*o**2 - 136*o + 32 = 0.
-4, -2, 1/4, 1
Find b, given that -4*b**4/5 - 4*b**3 + 12*b**2/5 + 52*b/5 - 8 = 0.
-5, -2, 1
Let 5*r**5/4 + 5*r**4/2 - 15*r**3 + 35*r**2/2 - 25*r/4 = 0. Calculate r.
-5, 0, 1
Determine y so that 14*y**5 + 88*y**4 + 150*y**3 + 92*y**2 + 16*y = 0.
-4, -1, -2/7, 0
Factor -57*c**3 + 204*c**2 - 75*c - 72.
-3*(c - 3)*(c - 1)*(19*c + 8)
What is a in 3*a**2/5 + 6*a - 33/5 = 0?
-11, 1
Find d such that 3*d**4/4 + 33*d**3/4 + 63*d**2/2 + 51*d + 30 = 0.
-5, -2
Determine g, given that -4*g**3 - 96*g**2 - 252*g = 0.
-21, -3, 0
Factor -g**3/2 + 49*g**2/2 - 95*g/2 + 47/2.
-(g - 47)*(g - 1)**2/2
Suppose -1281*k**4/8 + 1077*k**3/4 + 2763*k**2/2 + 411*k + 12 = 0. Calculate k.
-2, -2/7, -2/61, 4
Determine k so that -k**2 + 26*k + 155 = 0.
-5, 31
Factor -2*h**2 - 56*h - 104.
-2*(h + 2)*(h + 26)
Factor -25*k**5 - 15*k**4 + 10*k**3.
-5*k**3*(k + 1)*(5*k - 2)
Factor 4*a**4 + 88*a**3.
4*a**3*(a + 22)
Factor 3*l**5/8 - 39*l**4/4 + 579*l**3/8 - 117*l**2 + 54*l.
3*l*(l - 12)**2*(l - 1)**2/8
Factor 3*s**3 - 66*s**2 + 384*s - 672.
3*(s - 14)*(s - 4)**2
Solve -3*w**5 - 42*w**4 + 168*w**3 + 1056*w**2 - 1920*w - 6144 = 0 for w.
-16, -4, -2, 4
Let -2*z**3/9 - 20*z**2/9 - 14*z/3 = 0. What is z?
-7, -3, 0
Find s such that 95256*s**2 - 504*s + 2/3 = 0.
1/378
Suppose -w**3/5 + 3*w**2 + w/5 - 3 = 0. Calculate w.
-1, 1, 15
Factor 36*b**4 - 368*b**3 + 80*b**2.
4*b**2*(b - 10)*(9*b - 2)
Factor -2*o**3/7 + 38*o**2/7 + 290*o/7 + 250/7.
-2*(o - 25)*(o + 1)*(o + 5)/7
Factor 2*r**3/11 - 42*r**2/11 + 268*r/11 - 48.
2*(r - 11)*(r - 6)*(r - 4)/11
Let -2*z**3/13 + 72*z**2/13 - 570*z/13 + 100 = 0. What is z?
5, 26
Factor 2*s**3/7 - 6*s**2/7 - 18*s/7 + 54/7.
2*(s - 3)**2*(s + 3)/7
Factor -2*v**3 - 157*v**2 + 80*v + 79.
-(v - 1)*(v + 79)*(2*v + 1)
Suppose f**5/5 - 16*f**4/5 + 29*f**3/5 - 14*f**2/5 = 0. Calculate f.
0, 1, 14
Let -3*r**4 - 696*r**3 - 2070*r**2 - 2064*r - 687 = 0. What is r?
-229, -1
Factor -2*o**4/7 + 5402*o**3/7 - 10798*o**2/7 + 5398*o/7.
-2*o*(o - 2699)*(o - 1)**2/7
Suppose s**2/8 + 242*s + 117128 = 0. What is s?
-968
Factor 3*c**3 + 282*c**2 + 825*c + 546.
3*(c + 1)*(c + 2)*(c + 91)
Factor -2*m**3/7 - 54*m**2/7 + 200*m/7 + 600/7.
-2*(m - 5)*(m + 2)*(m + 30)/7
Solve 5*t**5 + 35*t**4 + 70*t**3 + 10*t**2 - 75*t - 45 = 0.
-3, -1, 1
Suppose d**3/2 - 3507*d**2/2 + 4099683*d/2 - 1597509809/2 = 0. Calculate d.
1169
Factor -h**3 - 6*h**2.
-h**2*(h + 6)
Determine a so that 3*a**2 - 303*a = 0.
0, 101
Determine x, given that -x**4 + 5*x**3 - 3*x**2 - 5*x + 4 = 0.
-1, 1, 4
Factor -3*u**4/8 - u**3/8 + u**2/4.
-u**2*(u + 1)*(3*u - 2)/8
Determine j, given that 4*j**5 - 96*j**4 + 664*j**3 - 1056*j**2 + 484*j = 0.
0, 1, 11
Determine u so that 45*u**3 + 645*u**2 - 445*u + 75 = 0.
-15, 1/3
Factor 5*a**4 + 97*a**3 - 167*a**2 + 23*a + 42.
(a - 1)**2*(a + 21)*(5*a + 2)
Let -6*d**5 - 27*d**4 - 33*d**3 + 12*d = 0. Calculate d.
-2, -1, 0, 1/2
Let 238*g**2 + 234*g - 4 = 0. What is g?
-1, 2/119
Factor 5*n**2 - 90*n.
5*n*(n - 18)
Let 3*w**3/2 + 27*w**2/2 + 30*w + 18 = 0. Calculate w.
-6, -2, -1
Factor -5*x**3 - 25*x**2 + 20*x + 100.
-5*(x - 2)*(x + 2)*(x + 5)
Determine q so that 4*q**2 - 1312*q + 107584 = 0.
164
Determine h so that h**4/9 - 353*h**3/9 - h**2/3 + 1057*h/9 + 706/9 = 0.
-1, 2, 353
Determine c so that 3*c**3 + 5*c**2 + 2*c = 0.
-1, -2/3, 0
Let x**3 - x**2/3 - x + 1/3 = 0. What is x?
-1, 1/3, 1
Factor 45*o**3 - 890*o**2 - 1145*o - 210.
5*(o - 21)*(o + 1)*(9*o + 2)
Let 107*g**2 - 125*g + 18 = 0. What is g?
18/107, 1
Find o such that -21*o**5 - 246*o**4 - 1020*o**3 - 1704*o**2 - 768*o + 384 = 0.
-4, -2, 2/7
Solve c**5 + 4*c**4 - 2*c**3 - 8*c**2 + c + 4 = 0 for c.
-4, -1, 1
Determine o, given that 2*o**2 + 1206*o + 1204 = 0.
-602, -1
Find g such that 5*g**2/4 + 595*g + 70805 = 0.
-238
Factor 3*l**3/2 - 420*l**2 - 1698*l - 1704.
3*(l - 284)*(l + 2)**2/2
Find i, given that 2*i**5 + 50*i**4 + 268*i**3 - 788*i**2 - 2574*i + 3042 = 0.
-13, -3, 1, 3
Factor -h**3/9 + 94*h**2/9 + 191*h/9 + 32/3.
-(h - 96)*(h + 1)**2/9
Suppose 2*t**2/3 + 50*t/3 + 44 = 0. Calculate t.
-22, -3
What is a in -3675*a**2 + 105*a - 3/4 = 0?
1/70
Factor 3*d**2/4 + 183*d/2 + 11163/4.
3*(d + 61)**2/4
What is z in 4*z**5 + 68*z**4 + 212*z**3 + 28*z**2 - 312*z = 0?
-13, -3, -2, 0, 1
Solve -2*h**2 + 392*h - 19208 = 0 for h.
98
Factor o**5/5 - 6*o**4/5 + 13*o**3/5 - 12*o**2/5 + 4*o/5.
o*(o - 2)**2*(o - 1)**2/5
Let 7*v**5/5 - 61*v**4/5 + 192*v**3/5 - 248*v**2/5 + 16*v + 48/5 = 0. Calculate v.
-2/7, 2, 3
What is x in -5*x**2/3 - 2195*x/3 - 4370/3 = 0?
-437, -2
Determine i so that -5*i**2 - 1095*i + 1100 = 0.
-220, 1
Factor -q**3 - 189*q**2 - 188*q.
-q*(q + 1)*(q + 188)
Factor -14*q**3 - 8*q**2.
-2*q**2*(7*q + 4)
Factor -3*b**3 + 21*b**2 - 33*b + 15.
-3*(b - 5)*(b - 1)**2
Factor 2*d**3/21 - 4*d**2/21 - 10*d/7 + 24/7.
2*(d - 3)**2*(d + 4)/21
Factor -s**5/3 + 35*s**4/3 + 200*s**3/3.
-s**3*(s - 40)*(s + 5)/3
Factor -2*b**2 - 126*b - 472.
-2*(b + 4)*(b + 59)
Let -4*l**2 + 864*l - 46656 = 0. What is l?
108
Factor -h**3 - h**2 + 2*h.
-h*(h - 1)*(h + 2)
Let -9*b**4/2 - 3*b**3 + 63*b**2/2 + 48*b + 18 = 0. What is b?
-2, -1, -2/3, 3
What is g in -14*g**4/11 - 74*g**3/11 - 118*g**2/11 - 70*g/11 - 12/11 = 0?
-3, -1, -2/7
Factor -y**4 - 8*y**3 + 15*y**2 + 54*y.
-y*(y - 3)*(y + 2)*(y + 9)
Factor 12*y**3 + 128*y**2 + 172*y - 72.
4*(y + 2)*(y + 9)*(3*y - 1)
Factor 5*s**2 - 20*s + 15.
5*(s - 3)*(s - 1)
Solve 2*b**3 + 134*b**2 + 2640*b + 12600 = 0 for b.
-30, -7
Factor -t**3 - 2*t**2.
-t**2*(t + 2)
Factor -4*u**2/3 - 1152*u - 248832.
-4*(u + 432)**2/3
Find x, given that -4*x**4 + 36*x**3 - 96*x**2 + 80*x = 0.
0, 2, 5
Factor v**3 + 7*v**2 - 8*v.
v*(v - 1)*(v + 8)
Factor -14*x**2/13 - 178*x/13 + 4.
-2*(x + 13)*(7*x - 2)/13
Let -2*u**3 - 76*u**2 + 328*u - 336 = 0. What is u?
-42, 2
Factor 5*p**4 - 15*p**3 - 15*p**2 + 35*p + 30.
5*(p - 3)*(p - 2)*(p + 1)**2
Factor -j**3/5 - 9*j**2/5 - 6*j/5 + 16/5.
-(j - 1)*(j + 2)*(j + 8)/5
Factor -15*m**2/7 - 269*m/7 + 18/7.
-(m + 18)*(15*m - 1)/7
Let -5*s**4 - 50*s**3 + 600*s**2 + 50*s - 595 = 0. Calculate s.
-17, -1, 1, 7
Suppose -h**5/4 + 13*h**4/4 - 29*h**3/2 + 22*h**2 + 8*h - 32 = 0. Calculate h.
-1, 2, 4
Let -3*h**5 - 40*h**4 + 136*h**3 + 96*h**2 - 496*h + 256 = 0. What is h?
-16, -2, 2/3, 2
Suppose 3200*c**3 + 5920*c**2 - 942*c + 36 = 