
Factor 3*j**4/8 + 15*j**3/8 - 9*j**2/4 - 12*j + 12.
3*(j - 2)*(j - 1)*(j + 4)**2/8
Suppose 4*c**3 + 4752*c**2 + 1881792*c + 248396544 = 0. Calculate c.
-396
Let 2*w**3/9 - 208*w**2/9 - 422*w/9 - 212/9 = 0. What is w?
-1, 106
Factor -4*a**5 + 8*a**4 - 8*a**2 + 4*a.
-4*a*(a - 1)**3*(a + 1)
Determine d, given that -12*d**5 + 16*d**4 + 12*d**3 - 16*d**2 = 0.
-1, 0, 1, 4/3
Factor 5*g**3 + 20*g**2 - 80*g - 320.
5*(g - 4)*(g + 4)**2
What is i in -2*i**3 - 16*i**2 - 24*i = 0?
-6, -2, 0
Factor 5*j**5 + 40*j**4 + 90*j**3 - 135*j.
5*j*(j - 1)*(j + 3)**3
Find o such that 4*o**3 - 340*o**2 - 2212*o + 2548 = 0.
-7, 1, 91
What is c in 2*c**2/7 - 16*c - 354/7 = 0?
-3, 59
Let 3*x**2 - 396*x - 4260 = 0. What is x?
-10, 142
Determine r so that -2*r**4/15 + 22*r**3/5 + 664*r**2/15 - 9256*r/5 + 5408/3 = 0.
-20, 1, 26
Let -5*s**3 - 215*s**2 - 2155*s + 2375 = 0. Calculate s.
-25, -19, 1
Factor 2*a**2 + 18*a + 16.
2*(a + 1)*(a + 8)
Suppose 2*v**2 - 2672*v = 0. What is v?
0, 1336
Factor -r**2/3 - 10*r - 27.
-(r + 3)*(r + 27)/3
Solve -2*v**3/9 + 12*v**2 = 0 for v.
0, 54
Determine q, given that -q**3 - 11*q**2 - 40*q - 48 = 0.
-4, -3
Find q, given that -q**4/5 - 2*q**3 + 3*q**2 + 8*q - 44/5 = 0.
-11, -2, 1, 2
Factor 2*z**3/9 - 1472*z**2/9.
2*z**2*(z - 736)/9
Find k, given that 2*k**2/7 - 380*k/7 + 18050/7 = 0.
95
Let m**3/2 + 10*m**2 + 6*m - 216 = 0. Calculate m.
-18, -6, 4
What is u in 3*u**4/5 + 186*u**3/5 + 3663*u**2/5 + 4836*u + 10140 = 0?
-26, -5
Factor -1100*j**2 + 1095*j + 5.
-5*(j - 1)*(220*j + 1)
Factor 2*s**5 + 1094*s**4 + 151238*s**3 + 447170*s**2 + 444992*s + 147968.
2*(s + 1)**3*(s + 272)**2
Suppose -2*a**5/11 - 16*a**4/11 - 14*a**3/11 = 0. What is a?
-7, -1, 0
What is k in -k**4/4 + k**3/2 + k**2/4 - k/2 = 0?
-1, 0, 1, 2
Factor -s**4 - 61*s**3 - 280*s**2.
-s**2*(s + 5)*(s + 56)
Factor 2*y**3 - 4430*y**2 + 2459744*y - 7339416.
2*(y - 1106)**2*(y - 3)
Factor 5*v**2 - 1490*v + 1485.
5*(v - 297)*(v - 1)
Solve 2*s**5 + 230*s**4 + 658*s**3 - 1598*s**2 - 3324*s + 4032 = 0.
-112, -3, 1, 2
Factor -100*l**2/3 - 2440*l/3 - 14884/3.
-4*(5*l + 61)**2/3
Let g**2/5 - 22*g/5 + 8 = 0. What is g?
2, 20
Factor -8*c**3/7 + 4216*c**2/7 - 4210*c/7 + 1052/7.
-2*(c - 526)*(2*c - 1)**2/7
Solve 2*f**5 + 26*f**4/3 - 10*f**3/3 - 38*f**2 - 12*f = 0 for f.
-3, -1/3, 0, 2
Factor -2*y**4/11 - 304*y**3/11 - 11552*y**2/11.
-2*y**2*(y + 76)**2/11
What is n in -n**2 - 171*n = 0?
-171, 0
Determine p, given that 2*p**2/3 = 0.
0
Let 2*a**2/7 - 40*a/7 + 200/7 = 0. Calculate a.
10
Factor -p**2/5 + 274*p/5 - 18769/5.
-(p - 137)**2/5
Solve 4*a**5 - 56*a**4 + 40*a**3 + 160*a**2 - 44*a - 104 = 0.
-1, 1, 2, 13
Determine o so that -2*o**3 - 46*o**2 - 236*o - 192 = 0.
-16, -6, -1
Factor 2*r**3 - 4*r**2 - 238*r + 1176.
2*(r - 7)**2*(r + 12)
Factor 2*x**3 + 150*x**2 + 148*x.
2*x*(x + 1)*(x + 74)
Solve -2*s**3 + 6*s - 4 = 0 for s.
-2, 1
Solve -5*u**5 - 55*u**4 + 85*u**3 + 315*u**2 + 180*u = 0 for u.
-12, -1, 0, 3
Factor -4*a**4/5 - 12*a**3 - 192*a**2/5 + 256*a/5.
-4*a*(a - 1)*(a + 8)**2/5
Solve y**5 - 26*y**4/3 + 52*y**3/3 + 24*y**2 - 256*y/3 + 128/3 = 0.
-2, 2/3, 2, 4
Suppose 165*c**3 - 640*c**2 + 580*c + 80 = 0. What is c?
-4/33, 2
Factor -2*d**2 - 112*d + 232.
-2*(d - 2)*(d + 58)
Factor -2*w**2 + 8*w + 384.
-2*(w - 16)*(w + 12)
Determine a so that 2*a**2/13 - 36*a/13 - 486/13 = 0.
-9, 27
Factor 9*a**3/7 + 6*a**2 - 669*a/7 - 66.
3*(a - 7)*(a + 11)*(3*a + 2)/7
Factor -44*u**2 - 178*u - 8.
-2*(u + 4)*(22*u + 1)
Factor -74*s**2/9 - 20*s/3.
-2*s*(37*s + 30)/9
What is x in -15*x**3 + 9*x**2 + 24*x = 0?
-1, 0, 8/5
Factor -p**3/10 - 253*p**2/10.
-p**2*(p + 253)/10
Suppose -h**3/3 + 4*h - 16/3 = 0. Calculate h.
-4, 2
What is v in 4*v**2 - 52*v - 120 = 0?
-2, 15
Let l**5 - 7*l**4 + 5*l**3 + 43*l**2 - 42*l - 72 = 0. Calculate l.
-2, -1, 3, 4
Factor -2*u**2 + 88*u/7 - 24/7.
-2*(u - 6)*(7*u - 2)/7
What is o in -20*o**3 + 1245*o**2 - 19530*o + 4805 = 0?
1/4, 31
Factor 2*z**4 + 44*z**3 - 46*z**2.
2*z**2*(z - 1)*(z + 23)
Solve -12*c**5 - 72*c**4 - 135*c**3 - 75*c**2 + 27*c + 27 = 0.
-3, -3/2, -1, 1/2
Suppose l**4 - 18*l**3 + 29*l**2 + 48*l = 0. What is l?
-1, 0, 3, 16
Let -3*a**5/4 + 5*a**4 - 41*a**3/4 + 5*a**2 + 3*a = 0. Calculate a.
-1/3, 0, 2, 3
Factor -3*u**3 + 18*u**2 - 27*u + 12.
-3*(u - 4)*(u - 1)**2
Suppose 2*z**4/11 + 16*z**3/11 - 18*z**2/11 = 0. What is z?
-9, 0, 1
Suppose -4*p**4/7 - 20*p**3/7 - 8*p**2/7 + 32*p/7 = 0. Calculate p.
-4, -2, 0, 1
Determine x so that 18*x**5 - 1012*x**4 + 8270*x**3 - 22380*x**2 + 18112*x - 3008 = 0.
2/9, 1, 4, 47
Factor 50*z**2 + 155*z/3 + 5/3.
5*(z + 1)*(30*z + 1)/3
Suppose v**4/2 + 43*v**3/4 + 15*v**2 - v/4 - 5 = 0. Calculate v.
-20, -1, 1/2
Suppose -i**5/4 + 45*i**4/4 - 179*i**3 + 1148*i**2 - 2352*i + 1372 = 0. What is i?
1, 2, 14
Let -3*u**2 + 2676*u - 596748 = 0. What is u?
446
Factor -4*i**2 + 80*i - 76.
-4*(i - 19)*(i - 1)
Find x such that -3*x**5 + 36*x**4 - 108*x**3 + 96*x**2 = 0.
0, 2, 8
Factor 7*b**3/4 + 4*b**2 + b.
b*(b + 2)*(7*b + 2)/4
Solve -2*k**2 - 23768*k - 70614728 = 0 for k.
-5942
Determine h, given that -4*h**3 + 36*h**2 + 4*h - 36 = 0.
-1, 1, 9
Find n, given that 2*n**4/9 - 118*n**3/9 + 662*n**2/3 - 738*n - 972 = 0.
-1, 6, 27
Factor -5*i**4 - 17*i**3 - 16*i**2 - 4*i.
-i*(i + 1)*(i + 2)*(5*i + 2)
Find c such that 2*c**3 - 20*c**2 - 106*c - 84 = 0.
-3, -1, 14
Factor -u**4/5 + 2*u**3 + 251*u**2/5 + 1068*u/5 + 828/5.
-(u - 23)*(u + 1)*(u + 6)**2/5
Factor 2*r**4 + 22*r**3 + 68*r**2 + 48*r.
2*r*(r + 1)*(r + 4)*(r + 6)
Let -12*h**2 - 183*h/4 + 9 = 0. What is h?
-4, 3/16
Solve 2*n**2 + 7860*n - 7862 = 0 for n.
-3931, 1
Factor 2*w**3/3 - 38*w**2/3 + 230*w/3 - 150.
2*(w - 9)*(w - 5)**2/3
Suppose -3*o**5/8 - 159*o**4/8 - 255*o**3/2 - 318*o**2 - 348*o - 138 = 0. Calculate o.
-46, -2, -1
Factor -u**4/4 - 39*u**3/4 + 63*u**2/2 - u - 42.
-(u - 2)**2*(u + 1)*(u + 42)/4
Factor 41*a**2/6 + 121*a/6 - 1.
(a + 3)*(41*a - 2)/6
Suppose -s**4/3 - 27*s**3 - 25*s**2 + 397*s/3 - 80 = 0. What is s?
-80, -3, 1
Solve 5*y**4 - 755*y**3 - 1535*y**2 + 755*y + 1530 = 0 for y.
-2, -1, 1, 153
Factor -5*b**3 - 450*b**2 - 5565*b - 18620.
-5*(b + 7)**2*(b + 76)
Factor 2*o**2/17 + 46*o/17 + 84/17.
2*(o + 2)*(o + 21)/17
Determine s so that 3*s**2/5 + 81*s/5 + 78/5 = 0.
-26, -1
Factor 5*t**2 - 110*t + 285.
5*(t - 19)*(t - 3)
Factor -5*j**3 - 640*j**2 - 17680*j + 184960.
-5*(j - 8)*(j + 68)**2
Solve 5*u**4 + 20*u**3 + 25*u**2 + 10*u = 0.
-2, -1, 0
Factor 5*l**2/4 - 15*l/2.
5*l*(l - 6)/4
Solve -14*x**4/5 - 128*x**3 + 1528*x**2/5 - 384*x/5 = 0.
-48, 0, 2/7, 2
Determine v, given that 18*v**4 + 28*v**3 - 34*v**2 - 28*v + 16 = 0.
-2, -1, 4/9, 1
Let -2*d**2/5 - 6*d/5 = 0. Calculate d.
-3, 0
Suppose 2*q**5 + 24*q**4 - 54*q**3 + 28*q**2 = 0. Calculate q.
-14, 0, 1
Find n such that -3*n**5 - 75*n**4 + 1482*n**3 = 0.
-38, 0, 13
Solve -4*n**5 - 124*n**4 - 896*n**3 + 1024*n**2 = 0.
-16, 0, 1
Suppose 4*d**4 + 224*d**3 + 1308*d**2 - 59024*d - 60112 = 0. What is d?
-34, -1, 13
Let -4*i**4 + 164*i**3 - 1480*i**2 + 4992*i - 5760 = 0. What is i?
3, 4, 30
Factor 3*r**3/5 - 99*r**2/5 + 189*r - 405.
3*(r - 15)**2*(r - 3)/5
Solve 3*h**2 - 60*h - 63 = 0.
-1, 21
Find a such that a**2/5 - 378*a/5 + 35721/5 = 0.
189
Find r, given that -5*r**5 - 20*r**4 - 20*r**3 + 10*r**2 + 25*r + 10 = 0.
-2, -1, 1
Factor -2*g**2/5 + 172*g/5 - 34.
-2*(g - 85)*(g - 1)/5
Solve p**4/4 + 3*p**3 + 5*p**2/4 - 75*p/2 = 0 for p.
-10, -5, 0, 3
Factor 2*p**5/13 + 6*p**4/13 - 8*p**2/13.
2*p**2*(p - 1)*(p + 2)**2/13
Factor -25*b**3 + 2715*b**2 + 3840*b + 1100.
-5*(b - 110)*(b + 1)*(5*b + 2)
Factor -15*t**3 + 85*t**2 - 105*t - 45.
-5*(t - 3)**2*(3*t + 1)
Factor -15*k**3 - 6*k**2 + 60*k + 24.
-3*(k - 2)*(k + 2)*(5*k + 2)
Factor -3*w**4 - 95*w**3 - 736*w**2 + 256*w.
-w*(w + 16)**2*(3*w - 1)
Suppose -5*b**5 - 85*b**4 - 245*b**3 + 285*b**2 + 1170*b = 0. What is b?
-13, -3, 0, 2
Determine o so that o**3 + 237*o**2 + 18723*o + 493039 = 0.
-79
Let l**5 + 302*l**4 + 22185*l**3 - 93636*l**2 = 0. Calculate l.
-153, 0, 4
Let -2*d**2/7 + 216*d/7 - 90 = 0. What is d?
3, 105
Let -3*c**5/2 - 2736*c**4 - 2506131*c**3/2 - 4960383*c**2 + 3775590*c + 22358700 = 0. What is c?
-910, -3, 2
Factor 4*f**3 - 25488*f**2 + 54136512*f - 38328650496.
4*(f - 2124)**3
Factor -x**3/5 + 4*x**2 - 19*x/5.
-x*(x - 19)*(x - 1)/5
Solve -5*w**2 + 6860*w - 2352980 = 0.
686
Factor -5*y**4 