= 0. Calculate b.
-61, -1, 1
Factor -5*j**2 - 75*j + 170.
-5*(j - 2)*(j + 17)
Suppose w**3 + 45*w**2 = 0. Calculate w.
-45, 0
Factor 3*q**4/2 + 9*q**3 - 27*q**2/2 - 21*q.
3*q*(q - 2)*(q + 1)*(q + 7)/2
Find s such that 3*s**2/5 + 27*s/5 + 42/5 = 0.
-7, -2
Determine j so that -4*j**2 + 48*j = 0.
0, 12
Find h, given that 2*h**5 - 22*h**4 + 38*h**3 + 86*h**2 - 40*h - 64 = 0.
-1, 1, 4, 8
Find i, given that -20*i**4 - 5*i**3 + 60*i**2 - 25*i - 10 = 0.
-2, -1/4, 1
Find f, given that 16*f**4/19 - 22*f**3/19 - 58*f**2/19 + 88*f/19 - 24/19 = 0.
-2, 3/8, 1, 2
Determine a, given that -4*a**4 + 18*a**3 - 105*a**2/4 + 25*a/2 = 0.
0, 5/4, 2
Factor y**3 + 8*y**2 - 13*y - 140.
(y - 4)*(y + 5)*(y + 7)
Factor 3*i**2 + 507*i - 1548.
3*(i - 3)*(i + 172)
Factor 12*y**3 + 189*y**2 + 783*y + 486.
3*(y + 6)*(y + 9)*(4*y + 3)
Suppose -4*v**3/5 - 12*v**2/5 + 72*v/5 = 0. Calculate v.
-6, 0, 3
Let w**3 + 5*w**2 - 32*w + 36 = 0. What is w?
-9, 2
Suppose 20*x**4 + 1308*x**3 - 800*x**2 - 528*x = 0. What is x?
-66, -2/5, 0, 1
Suppose 20*s**4/9 + 212*s**3/9 + 272*s**2/9 - 16*s = 0. Calculate s.
-9, -2, 0, 2/5
Find b, given that -2*b**2 - 1690*b + 5088 = 0.
-848, 3
Factor 2*t**3 + 22*t**2 + 64*t + 56.
2*(t + 2)**2*(t + 7)
What is b in -30*b**3 - 33*b**2 + 48*b - 12 = 0?
-2, 2/5, 1/2
Suppose -5*o**5 - 25*o**4 - 35*o**3 - 15*o**2 = 0. Calculate o.
-3, -1, 0
Let 2*k**5/11 - 8*k**3/11 - 4*k**2/11 + 6*k/11 + 4/11 = 0. What is k?
-1, 1, 2
Factor t**2 - 525*t + 524.
(t - 524)*(t - 1)
Factor -b**3/2 + b**2 + b/2 - 1.
-(b - 2)*(b - 1)*(b + 1)/2
Find s, given that -s**3/2 - 199*s**2/2 + 401*s/2 - 201/2 = 0.
-201, 1
Suppose 2*r**5 + 308*r**4 + 1498*r**3 + 1192*r**2 = 0. Calculate r.
-149, -4, -1, 0
Factor o**4/11 - 83*o**3/11 - 170*o**2/11.
o**2*(o - 85)*(o + 2)/11
Determine x, given that -x**3/3 + 13*x**2/3 + 347*x - 351 = 0.
-27, 1, 39
Determine n so that 2*n**5/5 + 6*n**4/5 - 8*n**3/5 - 32*n**2/5 + 32/5 = 0.
-2, 1, 2
Let -g**3/3 - g**2/3 + 16*g/3 + 16/3 = 0. What is g?
-4, -1, 4
Factor 5*f**2 - 35*f + 60.
5*(f - 4)*(f - 3)
Suppose 81*u**3/5 + 38238*u**2/5 + 4514208*u/5 + 334176/5 = 0. What is u?
-236, -2/27
Solve -b**3 - 3*b**2 + 4 = 0 for b.
-2, 1
Solve 4*x**3 + 88*x**2 + 316*x - 408 = 0.
-17, -6, 1
Suppose 2*q**3 - 21*q**2 - 11*q = 0. Calculate q.
-1/2, 0, 11
Factor l**4 - 13*l**3 + 11*l**2 + 13*l - 12.
(l - 12)*(l - 1)**2*(l + 1)
Let 207*t**3 + 830*t**2 - 2476*t - 24 = 0. What is t?
-6, -2/207, 2
Determine c, given that 16*c**5/5 + 536*c**4/5 + 2561*c**3/5 + 530*c**2 - 1839*c/5 + 252/5 = 0.
-28, -3, 1/4
Find j, given that 5*j**3 + 55*j**2 - 470*j + 680 = 0.
-17, 2, 4
Factor -2*m**3/9 + 126*m**2 - 23814*m + 1500282.
-2*(m - 189)**3/9
Factor 33*k**3/2 + 354*k**2 - 198*k.
3*k*(k + 22)*(11*k - 6)/2
Factor -4*g**3/7 - 300*g**2/7 - 872*g/7 - 576/7.
-4*(g + 1)*(g + 2)*(g + 72)/7
Factor o**4 + 200*o**3 - 606*o**2 + 608*o - 203.
(o - 1)**3*(o + 203)
Factor 3*h**3/5 - 21*h/5 + 18/5.
3*(h - 2)*(h - 1)*(h + 3)/5
Determine f so that -12*f**3 + 248*f**2 - 156*f - 80 = 0.
-1/3, 1, 20
Suppose -5*f**5/2 + 5*f**4/2 + 30*f**3 + 10*f**2 - 40*f = 0. Calculate f.
-2, 0, 1, 4
Find j such that 3*j**3 + 366*j**2 - 741*j + 372 = 0.
-124, 1
Solve 2*l**4/11 + 58*l**3/11 - 2*l**2/11 - 58*l/11 = 0 for l.
-29, -1, 0, 1
Factor 6*f**3 - 525*f**2/2 - 336*f - 135/2.
3*(f - 45)*(f + 1)*(4*f + 1)/2
Determine n so that 3*n**5 + 36*n**4 + 87*n**3 - 222*n**2 - 576*n + 672 = 0.
-7, -4, 1, 2
Factor 4*u**5 + 268*u**4 - 2336*u**3 + 4800*u**2.
4*u**2*(u - 4)**2*(u + 75)
What is p in -20*p**3/3 + 27*p**2 - 64*p/3 + 1 = 0?
1/20, 1, 3
Factor -2*c**2/7 - 80*c/7 - 800/7.
-2*(c + 20)**2/7
Suppose 10*n**3 + 15*n**2 - 15*n - 10 = 0. What is n?
-2, -1/2, 1
Factor -k**2 + 107*k - 106.
-(k - 106)*(k - 1)
Let q**5/2 + q**4 = 0. Calculate q.
-2, 0
Factor -5*y**2 + 3350*y - 561125.
-5*(y - 335)**2
Determine g, given that 3*g**4 - 6*g**3 - 9*g**2 = 0.
-1, 0, 3
Suppose u**3/9 + 1931*u**2/9 + 933155*u/9 + 931225/9 = 0. Calculate u.
-965, -1
Determine y so that -y**2/2 - 4029*y - 16232841/2 = 0.
-4029
Factor -2*q**4/7 + 22*q**3/7 - 48*q**2/7 - 72*q/7.
-2*q*(q - 6)**2*(q + 1)/7
Solve 21*b**4 - 1224*b**3 + 1503*b**2 + 2064*b - 684 = 0 for b.
-1, 2/7, 2, 57
Factor 147*a**3/2 - 315*a**2/2 + 108*a - 24.
3*(a - 1)*(7*a - 4)**2/2
Let 2*m**2/11 + 18*m/11 - 72/11 = 0. Calculate m.
-12, 3
Let -4*a**3 - 36*a**2 - 80*a - 48 = 0. Calculate a.
-6, -2, -1
Suppose 20*t**4/3 - 112*t**3/3 - 1216*t**2 - 4800*t - 1728 = 0. Calculate t.
-6, -2/5, 18
Suppose -1668*s**2 - 3328*s + 16 = 0. What is s?
-2, 2/417
Suppose y**3/5 - 9*y**2/5 + 6*y/5 + 16/5 = 0. What is y?
-1, 2, 8
Factor a**3 + 4*a**2 + 5*a + 2.
(a + 1)**2*(a + 2)
Factor -73*l**4 + 221*l**3 - 6*l**2.
-l**2*(l - 3)*(73*l - 2)
Let -5*c**5 - 95*c**4 - 85*c**3 + 95*c**2 + 90*c = 0. Calculate c.
-18, -1, 0, 1
Solve 2*z**4/11 - 80*z**3/11 + 1092*z**2/11 - 5408*z/11 + 4394/11 = 0 for z.
1, 13
Factor -4*z**4 + 16*z**3 + 64*z**2 - 64*z - 192.
-4*(z - 6)*(z - 2)*(z + 2)**2
Solve -5*a**4 - 195*a**3 - 885*a**2 - 1205*a - 510 = 0.
-34, -3, -1
Factor -31*z**3/7 + 123*z**2/7 - 89*z/7 - 3/7.
-(z - 3)*(z - 1)*(31*z + 1)/7
Factor 2*l**2/11 + 36*l/11 - 350/11.
2*(l - 7)*(l + 25)/11
Factor -5*v**2 - 18820*v - 17709620.
-5*(v + 1882)**2
Factor -2*b**2/3 + 20*b/3 - 14.
-2*(b - 7)*(b - 3)/3
Let 4*w**3 - 60*w**2 - 328*w + 2016 = 0. Calculate w.
-7, 4, 18
Factor -h**2 + 42*h - 80.
-(h - 40)*(h - 2)
Factor 49*s**2/2 + 6195*s + 783225/2.
(7*s + 885)**2/2
Suppose -33*c**5 - 6726*c**4 - 11976*c**3 + 29328*c**2 + 48432*c - 9696 = 0. What is c?
-202, -2, 2/11, 2
Determine p so that p**5 + 5*p**4/2 - 5*p**2/2 - p = 0.
-2, -1, -1/2, 0, 1
Factor -f**3/2 - 123*f**2/2 - 5043*f/2 - 68921/2.
-(f + 41)**3/2
Factor -2*j**3/9 + 2*j**2/3 + 506*j/9 - 170/3.
-2*(j - 17)*(j - 1)*(j + 15)/9
Let a**5/3 + a**4/3 - 41*a**3/3 + 31*a**2/3 + 184*a/3 + 112/3 = 0. What is a?
-7, -1, 4
Suppose 2*s**5 - 30*s**4 + 144*s**3 - 224*s**2 = 0. What is s?
0, 4, 7
Factor -2*q**3 - 272*q**2 - 7738*q + 106580.
-2*(q - 10)*(q + 73)**2
What is t in -t**4/9 - 155*t**3/9 - 641*t**2 + 18407*t/9 - 12482/9 = 0?
-79, 1, 2
Determine k, given that -4*k**3 - 40*k**2 - 96*k = 0.
-6, -4, 0
Suppose -2*h**3 + 2370*h**2 - 700926*h - 703298 = 0. What is h?
-1, 593
Factor 4*g**2 - 696*g + 2720.
4*(g - 170)*(g - 4)
Factor -2*s**5/3 - 52*s**4 - 152*s**3 - 452*s**2/3 - 50*s.
-2*s*(s + 1)**3*(s + 75)/3
Factor -3*a**4 - 6*a**3 + 105*a**2.
-3*a**2*(a - 5)*(a + 7)
Let 2*w**3 - 2*w**2 - 450*w + 2754 = 0. What is w?
-17, 9
Suppose -3*v**5/2 - 2*v**4 + 25*v**3/2 - 13*v**2 + 4*v = 0. What is v?
-4, 0, 2/3, 1
Factor 2*m**2/17 - 1392*m/17 + 242208/17.
2*(m - 348)**2/17
Factor -2*x**2/19 - 54*x/19 + 56/19.
-2*(x - 1)*(x + 28)/19
Factor -s**3/3 - 157*s**2/3 - 5576*s/3 + 47068/3.
-(s - 7)*(s + 82)**2/3
Factor -2*m**3/15 - 158*m**2/15 + 322*m/15 - 54/5.
-2*(m - 1)**2*(m + 81)/15
Suppose 3*s**3/2 + 99*s**2/2 + 324*s = 0. What is s?
-24, -9, 0
Find p, given that -2*p**5/7 + 2*p**4/7 = 0.
0, 1
Determine o so that -5*o**2/2 - 95*o/2 - 85 = 0.
-17, -2
Solve -245*c**5 - 1120*c**4 - 1560*c**3 - 640*c**2 - 80*c = 0.
-2, -2/7, 0
Factor -2*x**4 - 4*x**3 + 4*x + 2.
-2*(x - 1)*(x + 1)**3
Determine j so that -182*j**4/5 - 116*j**3/5 + 62*j**2/5 - 4*j/5 = 0.
-1, 0, 1/13, 2/7
Factor -8*y**3 + 172*y**2 - 80*y - 84.
-4*(y - 21)*(y - 1)*(2*y + 1)
Factor z**4/6 + 35*z**3/2 + 393*z**2 - 10640*z/3 + 3136.
(z - 6)*(z - 1)*(z + 56)**2/6
Solve 2*q**2/9 + 20*q/9 = 0 for q.
-10, 0
Solve 2*x**2/5 + 116*x/5 + 1682/5 = 0.
-29
Factor n**4 - 211*n**3 + 626*n**2 - 416*n.
n*(n - 208)*(n - 2)*(n - 1)
Factor -j**2/4 - 3*j/4 + 377/2.
-(j - 26)*(j + 29)/4
What is t in t**4 + 23*t**3/4 + 43*t**2/4 + 33*t/4 + 9/4 = 0?
-3, -1, -3/4
What is j in -2*j**4/15 - 4*j**3/3 + 26*j**2/15 + 44*j/15 = 0?
-11, -1, 0, 2
Factor 2*d**3/3 - 1656*d**2 + 1028376*d.
2*d*(d - 1242)**2/3
Factor i**5 + 626*i**4 + 99213*i**3 + 389372*i**2 + 386884*i.
i*(i + 2)**2*(i + 311)**2
Let -2*p**2/5 + 568*p/5 = 0. Calculate p.
0, 284
Find r such that -r**2/6 - 2258*r/3 - 2549282/3 = 0.
-2258
Find g such that 3*g**4 - 3*g**3 - 258*g**2 + 828*g + 1080 = 0.
-10, -1, 6
Factor u**4/7 - 2*u**3/7 - 4*u**2/7 + 2*u/7 + 3/7.
(u - 3)*(u - 1)*(u + 1)**2/7
Factor -218*k**2/5 - 44*k - 2/5.
-2*(k + 1)*(109*k + 1)/5
Factor 8*m**2 + 4580*m + 2288.
4*(m + 572)*(2*m + 1)
What is b in -107*b*