actor -h**4/4 + 38*h**3 + 316*h**2 + 640*h.
-h*(h - 160)*(h + 4)**2/4
Suppose b**3/5 - 12*b**2/5 + 39*b/5 - 28/5 = 0. Calculate b.
1, 4, 7
Factor -7*g**3 + 19*g**2 + 2*g - 24.
-(g - 2)*(g + 1)*(7*g - 12)
Factor 3*o**2 + 750*o + 46875.
3*(o + 125)**2
Suppose q**3/6 + 2*q**2/3 - 11*q/6 + 1 = 0. Calculate q.
-6, 1
Factor -3*s**2/5 + 756*s/5 - 47628/5.
-3*(s - 126)**2/5
Factor -2*d**4/11 - 10*d**3/11 + 108*d**2/11 - 248*d/11 + 16.
-2*(d - 2)**3*(d + 11)/11
Determine f so that 89*f**2/4 - 447*f/4 + 5/2 = 0.
2/89, 5
Suppose -q**5/4 - q**4/4 + 5*q**3/4 + 5*q**2/4 - q - 1 = 0. What is q?
-2, -1, 1, 2
Let -7*i**5/4 + 71*i**4/2 - 369*i**3/4 - 191*i**2/2 + 34*i = 0. Calculate i.
-1, 0, 2/7, 4, 17
Factor v**5/6 - v**4/2 + v**3/3.
v**3*(v - 2)*(v - 1)/6
Factor 20*x**2 + 45*x + 25.
5*(x + 1)*(4*x + 5)
Let 2*r**4 + 62*r**3 - 132*r**2 = 0. Calculate r.
-33, 0, 2
Factor -5*h**4 - 175*h**3 - 165*h**2 + 175*h + 170.
-5*(h - 1)*(h + 1)**2*(h + 34)
What is n in 4*n**5 - 118*n**4 + 1513*n**3/4 - 1501*n**2/4 + 124*n - 13 = 0?
1/4, 1, 2, 26
Suppose -x**2/5 + 108*x/5 - 212/5 = 0. Calculate x.
2, 106
Find x, given that x**2/6 - 265*x/6 - 89 = 0.
-2, 267
Suppose 48*p**5 - 264*p**4 + 531*p**3 - 462*p**2 + 147*p = 0. What is p?
0, 1, 7/4
Determine p, given that 3*p**4/2 - 39*p**3/2 - 195*p**2/2 - 153*p/2 = 0.
-3, -1, 0, 17
Factor 3*h**2/2 + 90*h - 186.
3*(h - 2)*(h + 62)/2
Factor -2*x**2/9 + 32*x/9 - 56/9.
-2*(x - 14)*(x - 2)/9
Factor 20*r**5 + 133*r**4 + 320*r**3 + 328*r**2 + 128*r + 16.
(r + 2)**3*(4*r + 1)*(5*r + 2)
Suppose -3*u**4 + 12*u**3 + 15*u**2 - 108*u + 108 = 0. Calculate u.
-3, 2, 3
Solve -5*h**2 - 110*h + 375 = 0 for h.
-25, 3
Find y, given that y**4/4 - 303*y**3/4 + 23685*y**2/4 - 109217*y/4 - 66603/2 = 0.
-1, 6, 149
Suppose y**5/3 + 41*y**4/3 + 586*y**3/3 + 3250*y**2/3 + 4901*y/3 + 2197/3 = 0. What is y?
-13, -1
Suppose 160*f**5 + 1428*f**4 + 1172*f**3 - 96*f**2 = 0. Calculate f.
-8, -1, 0, 3/40
Factor 5*u**2 - 360*u - 3200.
5*(u - 80)*(u + 8)
Factor -5*b**2 - 4155*b + 8330.
-5*(b - 2)*(b + 833)
Solve 14*a**4/9 - 106*a**3/3 + 1462*a**2/9 - 566*a/3 - 68 = 0.
-2/7, 3, 17
Determine a so that -4*a**2 + 1180*a + 2376 = 0.
-2, 297
Determine z so that -z**5 + 54*z**4 - 53*z**3 = 0.
0, 1, 53
Suppose 3*y**4/4 - 9*y**3/4 + 9*y**2/4 - 3*y/4 = 0. Calculate y.
0, 1
Find g such that 2*g**5/7 - 160*g**4/7 + 3200*g**3/7 = 0.
0, 40
Let -4*f**2 - 40*f + 96 = 0. What is f?
-12, 2
Find j such that -4*j**3/9 - 1472*j**2/9 + 2980*j/3 - 1496 = 0.
-374, 3
Solve -5*w**3 - 42*w**2 - 76*w - 24 = 0.
-6, -2, -2/5
Find k such that 2*k**4 - 14*k**2 - 12*k = 0.
-2, -1, 0, 3
Determine z so that 18*z**4/7 - 26*z**3/7 - 10*z**2/7 + 26*z/7 - 8/7 = 0.
-1, 4/9, 1
Solve 3*g**4 + 3*g**3 - 12*g**2 - 12*g = 0 for g.
-2, -1, 0, 2
Determine v, given that -v**3/2 + v**2 + 2*v - 4 = 0.
-2, 2
Find n such that -n**4 + 7*n**3 - 15*n**2 + 13*n - 4 = 0.
1, 4
Factor 4*k**3 + 16*k**2 - 4*k - 16.
4*(k - 1)*(k + 1)*(k + 4)
Factor z**5 + 4*z**4.
z**4*(z + 4)
Determine r, given that 6*r**2 - 1676*r - 1120 = 0.
-2/3, 280
Factor i**3 + 28*i**2 + 176*i + 320.
(i + 4)**2*(i + 20)
What is w in 2*w**2/11 + 386*w/11 + 384/11 = 0?
-192, -1
Factor -3*l**2 + 54*l - 243.
-3*(l - 9)**2
Suppose -9*i**5/2 - 15*i**4/2 + 633*i**3/2 - 33*i**2/2 - 1854*i - 1134 = 0. Calculate i.
-9, -2, -2/3, 3, 7
Suppose 4*w**4 + 1184*w**3 - 7200*w**2 + 14464*w - 9664 = 0. Calculate w.
-302, 2
Solve 25*o**2 - 2415*o + 2390 = 0.
1, 478/5
Let 20*k**4 + 160*k**3 + 265*k**2 + 155*k + 30 = 0. What is k?
-6, -1, -1/2
Suppose 2*k**4/7 - 16*k**3/7 + 22*k**2/7 + 16*k/7 - 24/7 = 0. Calculate k.
-1, 1, 2, 6
Factor -4*j**2 - 8*j + 12.
-4*(j - 1)*(j + 3)
Factor 3*d**2 + 3*d - 36.
3*(d - 3)*(d + 4)
Find y such that -y**3 - 17*y**2 - 40*y + 300 = 0.
-10, 3
Solve 5*x**4 + 40*x**3 - 5*x**2 - 40*x = 0 for x.
-8, -1, 0, 1
Factor 39*d**2 + 132*d + 108.
3*(d + 2)*(13*d + 18)
Determine p, given that -2*p**3 - 130*p**2 - 254*p - 126 = 0.
-63, -1
Factor -21*g**4 + 858*g**3 + 123*g**2.
-3*g**2*(g - 41)*(7*g + 1)
Find z such that 3*z**4 + 372*z**3 + 4812*z**2 + 21408*z + 31680 = 0.
-110, -6, -4
Find a, given that -2*a**3/17 + 6*a**2/17 - 4*a/17 = 0.
0, 1, 2
Factor 4*t**2 + 200*t + 2500.
4*(t + 25)**2
Suppose 2*s**2/11 - 32/11 = 0. Calculate s.
-4, 4
Factor -3*c**5/5 + 72*c**4/5 - 132*c**3/5.
-3*c**3*(c - 22)*(c - 2)/5
Find y, given that 3*y**3 + 63*y**2 + 252*y + 192 = 0.
-16, -4, -1
Determine j, given that -4*j**3/9 - 60*j**2 - 2700*j - 40500 = 0.
-45
Determine o, given that -5*o**2/4 - 330*o = 0.
-264, 0
Factor -c**5 - 3*c**4 + 3*c**3 + 11*c**2 + 6*c.
-c*(c - 2)*(c + 1)**2*(c + 3)
Factor -g**2/2 + 4075*g/2 + 2038.
-(g - 4076)*(g + 1)/2
Factor -3*m**4 - 810*m**3 - 2409*m**2 - 1602*m.
-3*m*(m + 1)*(m + 2)*(m + 267)
Factor 2*a**3/5 - 12*a**2/5 + 22*a/5 - 12/5.
2*(a - 3)*(a - 2)*(a - 1)/5
Let -c**5/2 + c**4/2 + c**3 - c**2 - c/2 + 1/2 = 0. What is c?
-1, 1
Factor 2*g**4/9 - 52*g**3/3 + 384*g**2 - 1728*g.
2*g*(g - 36)**2*(g - 6)/9
Solve -34*r**5/5 + 378*r**4/5 - 172*r**3 - 1128*r**2/5 + 144*r/5 = 0 for r.
-1, 0, 2/17, 6
Factor -h**4 + 19*h**3 + 63*h**2 + 65*h + 22.
-(h - 22)*(h + 1)**3
Suppose -8*j**3 - 38*j**2 - 38*j + 12 = 0. What is j?
-3, -2, 1/4
Solve -2*w**3/7 + 902*w**2/7 - 14464*w - 102152/7 = 0 for w.
-1, 226
Factor -x**2/5 - 99*x/5 - 304.
-(x + 19)*(x + 80)/5
Factor -5*d**4 + 80*d**2.
-5*d**2*(d - 4)*(d + 4)
What is w in w**4 + 243*w**3 - 245*w**2 - 243*w + 244 = 0?
-244, -1, 1
Let -4*q**4/5 - 72*q**3 - 5904*q**2/5 + 21920*q + 48000 = 0. What is q?
-50, -2, 12
Find b such that -4*b**2 - 120*b - 224 = 0.
-28, -2
Let -45*t**5 + 730*t**4 - 115*t**3 - 730*t**2 + 160*t = 0. What is t?
-1, 0, 2/9, 1, 16
Solve 26*j**2 - 18*j - 44 = 0.
-1, 22/13
Solve 2*x**3/3 + 80*x**2/3 - 166*x/3 + 28 = 0 for x.
-42, 1
Let 2*m**2/13 + 96*m/13 - 98/13 = 0. What is m?
-49, 1
What is y in -39*y**3/4 - 315*y**2/2 - 492*y - 72 = 0?
-12, -4, -2/13
Factor -i**3/3 + 13*i**2/3 + 65*i/3 + 17.
-(i - 17)*(i + 1)*(i + 3)/3
Solve 2*c**3/9 - 4*c**2/9 - 8*c/9 + 16/9 = 0 for c.
-2, 2
Solve 2*n**2 + 172*n + 656 = 0 for n.
-82, -4
Suppose -2*a**5/11 - 34*a**4/11 - 150*a**3/11 - 86*a**2/11 + 152*a/11 + 120/11 = 0. What is a?
-10, -6, -1, 1
Factor u**4 + 3*u**3 - 81*u**2 - 203*u + 1176.
(u - 8)*(u - 3)*(u + 7)**2
Determine n, given that -3*n**5 + 624*n**4 - 1845*n**3 - 12*n**2 + 2460*n = 0.
-1, 0, 2, 205
Let -3*m**2 - 207*m - 2544 = 0. What is m?
-53, -16
Factor 4*v**4/9 - 8*v**3/3 + 4*v**2/3 + 40*v/9.
4*v*(v - 5)*(v - 2)*(v + 1)/9
Factor -q**4/4 + 39*q**3/4 + q**2 - 39*q.
-q*(q - 39)*(q - 2)*(q + 2)/4
Factor -4*w**2 + 1168*w - 1164.
-4*(w - 291)*(w - 1)
Suppose -10*z**4/3 + 76*z**3/3 - 88*z**2/3 - 16*z = 0. What is z?
-2/5, 0, 2, 6
Let 5*i**5 + 65*i**4 + 270*i**3 + 460*i**2 + 280*i = 0. What is i?
-7, -2, 0
Factor -2*a**3/3 + 16*a**2 - 96*a.
-2*a*(a - 12)**2/3
Determine t so that -12*t**2 + 1600*t + 1072 = 0.
-2/3, 134
Factor -3*p**2 - 14052*p - 16454892.
-3*(p + 2342)**2
Determine s so that -3*s**3/5 + 14*s**2/5 - 4*s + 8/5 = 0.
2/3, 2
Suppose -112896*l**5 + 227136*l**4 + 561788*l**3 - 684088*l**2 + 8084*l - 24 = 0. Calculate l.
-2, 1/168, 1, 3
Factor i**3/2 - 3*i/2 + 1.
(i - 1)**2*(i + 2)/2
Solve 2*d**3/5 - 166*d**2/5 + 470*d + 48598/5 = 0.
-11, 47
Factor -f**3/3 - 22*f**2/3 + 47*f/3 - 8.
-(f - 1)**2*(f + 24)/3
Factor 84*y**4 - 1168*y**3 - 112*y**2.
4*y**2*(y - 14)*(21*y + 2)
Suppose -l**3/6 - 1579*l**2/6 - 311260*l/3 + 312050/3 = 0. What is l?
-790, 1
Determine l, given that 2*l**3 - 48*l**2 + 238*l = 0.
0, 7, 17
Factor 5*n**2 + 7168*n/3 - 956/3.
(n + 478)*(15*n - 2)/3
Solve 10*a**5 + 195*a**4 + 985*a**3 + 1935*a**2 + 1525*a + 390 = 0 for a.
-13, -3, -2, -1, -1/2
Suppose 3*a**2 + 30*a - 357 = 0. Calculate a.
-17, 7
What is f in f**4 + 23*f**3 + 21*f**2 - 23*f - 22 = 0?
-22, -1, 1
Let -45*g**5 - 35*g**4 + 55*g**3 + 35*g**2 - 10*g = 0. What is g?
-1, 0, 2/9, 1
Find y such that 5*y**3 + 50*y**2 + 135*y + 90 = 0.
-6, -3, -1
Factor -2*w**3/9 + 76*w**2/9 - 278*w/9 + 68/3.
-2*(w - 34)*(w - 3)*(w - 1)/9
Factor 4*f**4 - 12*f**3 - 92*f**2 - 132*f - 56.
4*(f - 7)*(f + 1)**2*(f + 2)
Find r, given that 5*r**2 + 7370*r + 2715845 = 0.
-737
Factor -6*y**4/7 + 18*y**3/7 + 144*y**2/7 + 24*y.
-6*y*(y - 7)*(y + 2)**2/7
Factor -g**3 - 85*g**2 - 166*g.
-g*(g + 2)*(g + 83)
Find j, given that -4*j**4 + 24*j**3 - 128*j = 0.