, -1/4
Factor x**4/3 - 13*x**3/3 + 50*x**2/3 - 32*x/3 - 32.
(x - 6)*(x - 4)**2*(x + 1)/3
Factor 3*h**4 + 15*h**3 - 18*h**2 - 96*h + 96.
3*(h - 2)*(h - 1)*(h + 4)**2
Find z such that -2*z**4 + 24*z**3/5 + 2*z**2/5 - 24*z/5 + 8/5 = 0.
-1, 2/5, 1, 2
Factor -4*i**4 - 16*i**3 - 12*i**2.
-4*i**2*(i + 1)*(i + 3)
Suppose -5*k**2 + 2250*k - 253125 = 0. Calculate k.
225
Suppose -20*x**2 + 125*x - 195 = 0. Calculate x.
3, 13/4
What is n in -3*n**5 - 63*n**4 - 294*n**3 - 342*n**2 + 297*n + 405 = 0?
-15, -3, -1, 1
Solve -4*l**4 - 500*l**3 + 508*l**2 + 500*l - 504 = 0 for l.
-126, -1, 1
Suppose -2*d**2 + 220*d + 222 = 0. Calculate d.
-1, 111
Suppose y**2/4 + 177*y/4 - 89/2 = 0. What is y?
-178, 1
Determine q, given that 4*q**3 + 56*q**2 - 60*q = 0.
-15, 0, 1
Let -3*r**5/2 + 45*r**4/2 - 111*r**3 + 198*r**2 - 108*r = 0. Calculate r.
0, 1, 2, 6
Determine p, given that -5*p**4 - 395*p**3 - 10530*p**2 - 98020*p - 87880 = 0.
-26, -1
Suppose -4*s**2 + 260*s - 1200 = 0. What is s?
5, 60
Factor -26*o**2/9 - 2*o/3.
-2*o*(13*o + 3)/9
Factor 4*k**3 - 136*k**2 - 3268*k + 3400.
4*(k - 50)*(k - 1)*(k + 17)
Factor -4*b**3 - 3724*b**2 - 864896*b + 868624.
-4*(b - 1)*(b + 466)**2
Factor 56*l**3 + 44*l**2 - 20*l - 8.
4*(l + 1)*(2*l - 1)*(7*l + 2)
Factor -2*i**3/17 - 12*i**2/17 + 2*i/17 + 12/17.
-2*(i - 1)*(i + 1)*(i + 6)/17
Factor -3*t**3 - 9*t**2 + 18*t + 24.
-3*(t - 2)*(t + 1)*(t + 4)
Find u, given that -6*u**2/7 + 573*u/7 - 285/7 = 0.
1/2, 95
Determine a, given that -10*a**2 - 35*a - 15 = 0.
-3, -1/2
Solve -18*c**4/7 - 4*c**3/7 + 54*c**2/7 + 48*c/7 + 8/7 = 0.
-1, -2/9, 2
Factor 2*w**3 - 302*w**2 - 610*w - 306.
2*(w - 153)*(w + 1)**2
Factor -4*v**5/3 - 28*v**4 - 296*v**3/3 - 424*v**2/3 - 92*v - 68/3.
-4*(v + 1)**4*(v + 17)/3
Factor 3*f**5 - 612*f**4 + 29331*f**3 + 190914*f**2 + 391860*f + 264600.
3*(f - 105)**2*(f + 2)**3
Solve 4*t**2 - 2908*t = 0 for t.
0, 727
Solve -k**4/4 + 89*k**3/4 + 807*k**2/4 - 3029*k/4 + 1067/2 = 0.
-11, 1, 2, 97
Find c such that c**2/2 + 108*c - 217/2 = 0.
-217, 1
Factor -2*p**3/19 + 6*p**2/19 + 12*p/19 - 16/19.
-2*(p - 4)*(p - 1)*(p + 2)/19
Factor 2*r**2 + 188*r - 190.
2*(r - 1)*(r + 95)
Suppose 16*m**3/11 - 30*m**2/11 - 4*m/11 = 0. What is m?
-1/8, 0, 2
Determine c, given that -c**5 + 11*c**4 - 25*c**3 + 5*c**2 + 26*c - 16 = 0.
-1, 1, 2, 8
Factor y**5/4 + 5*y**4/4 - y**3/4 - 5*y**2/4.
y**2*(y - 1)*(y + 1)*(y + 5)/4
Let r**2/5 + 8*r/5 + 16/5 = 0. Calculate r.
-4
Factor 3*k**2 - 168*k + 2340.
3*(k - 30)*(k - 26)
Factor 22*n**2/5 - 174*n/5 - 196/5.
2*(n + 1)*(11*n - 98)/5
Suppose 9*u**4/8 - 69*u**3/4 + 531*u**2/8 - 261*u/4 + 15 = 0. Calculate u.
1/3, 1, 4, 10
Let -2*w**4 - 18*w**3 + 20*w**2 = 0. Calculate w.
-10, 0, 1
Suppose -26*i**3 + 5974*i**2 - 342470*i - 79350 = 0. What is i?
-3/13, 115
Factor a**4/5 + 76*a**3/5 + 1518*a**2/5 + 2812*a/5 + 1369/5.
(a + 1)**2*(a + 37)**2/5
Let -1089*o**5/8 - 1155*o**4/2 - 2337*o**3/8 + 2601*o**2/4 - 27*o/2 - 81 = 0. What is o?
-3, -2, -1/3, 6/11
What is o in 9*o**4 + 15*o**3 - 195*o**2 + 225*o - 54 = 0?
-6, 1/3, 1, 3
Factor w**3/4 - 29*w**2/4 + 7*w.
w*(w - 28)*(w - 1)/4
Factor 3*a**2 - 303*a - 306.
3*(a - 102)*(a + 1)
Factor -y**2/5 - 52*y/5 - 51/5.
-(y + 1)*(y + 51)/5
Find d such that -3*d**5 + 87*d**4 + 210*d**3 - 690*d**2 - 1647*d - 837 = 0.
-3, -1, 3, 31
Factor -t**5/3 - 96*t**4 + 388*t**3 - 1168*t**2/3.
-t**2*(t - 2)**2*(t + 292)/3
Let c**4 - 93*c**3 + 361*c**2 - 447*c + 178 = 0. What is c?
1, 2, 89
Suppose 4*m**3/7 + 11*m**2 + 299*m/7 + 10 = 0. Calculate m.
-14, -5, -1/4
Factor -5*c**3 - 5*c**2 + 10*c.
-5*c*(c - 1)*(c + 2)
Find s such that -s**2/6 + 327*s - 320787/2 = 0.
981
Factor 5*v**3 - 555*v - 550.
5*(v - 11)*(v + 1)*(v + 10)
Let 3*w**2/7 - 18*w - 264/7 = 0. What is w?
-2, 44
Factor -4*b**4 - 36*b**3 - 60*b**2 - 28*b.
-4*b*(b + 1)**2*(b + 7)
Determine j, given that -5*j**3 + 70*j**2 + 5*j - 70 = 0.
-1, 1, 14
Solve -5*o**2 - 1695*o + 1700 = 0.
-340, 1
Factor -21*l**3/5 + 2*l**2/5 + 3*l + 4/5.
-(l - 1)*(3*l + 1)*(7*l + 4)/5
Factor 2*k**5 - 6*k**3 - 4*k**2.
2*k**2*(k - 2)*(k + 1)**2
Determine a, given that 4*a**3/5 - 112*a**2/5 - 236*a/5 - 24 = 0.
-1, 30
Factor 10*h**2/3 - 46*h/3 + 12.
2*(h - 1)*(5*h - 18)/3
Suppose -2*a**3/7 + 4*a**2/7 + 2*a + 8/7 = 0. Calculate a.
-1, 4
Let 2*i**2/9 - 4*i/9 + 2/9 = 0. What is i?
1
Factor -2*d**3/7 - 55*d**2/7 + 214*d/7 - 93/7.
-(d - 3)*(d + 31)*(2*d - 1)/7
Factor -4*k**4/3 + 64*k**3/3 - 184*k**2/3 - 192*k - 108.
-4*(k - 9)**2*(k + 1)**2/3
Solve 25*u**5 + 215*u**4 + 85*u**3 - 295*u**2 - 110*u + 80 = 0.
-8, -1, 2/5, 1
Solve -t**2 - 92*t - 2116 = 0.
-46
Factor 3*g**2 - 228*g + 3564.
3*(g - 54)*(g - 22)
Let 4*k**5/7 - 225*k**4/7 + 492*k**3/7 - 325*k**2/7 + 54*k/7 = 0. Calculate k.
0, 1/4, 1, 54
Find j such that j**5/6 + 9*j**4 - 28*j**3/3 - 9*j**2 + 55*j/6 = 0.
-55, -1, 0, 1
Factor 6*n**3 + 2331*n**2 - 1167*n.
3*n*(n + 389)*(2*n - 1)
Factor 3*s**2 - 1878*s + 293907.
3*(s - 313)**2
Factor i**2/9 + 35*i/3 - 36.
(i - 3)*(i + 108)/9
Factor 7*r**4/6 - 233*r**3/6 + 869*r**2/2 - 10043*r/6 + 1331/3.
(r - 11)**3*(7*r - 2)/6
Let -2*b**4 + 6*b**3 + 332*b**2 - 336*b = 0. What is b?
-12, 0, 1, 14
Determine r, given that 4*r**2/9 - 32392*r/9 + 65577604/9 = 0.
4049
Factor 4*d**3 - 120*d**2 + 116*d.
4*d*(d - 29)*(d - 1)
Let -2*u**3 + 8*u**2 + 50*u - 56 = 0. Calculate u.
-4, 1, 7
Let -4*s**3/3 + 28*s/3 - 8 = 0. Calculate s.
-3, 1, 2
Let -3*l**3 + 414*l**2 + 6885*l = 0. What is l?
-15, 0, 153
Factor h**2 + 754*h - 755.
(h - 1)*(h + 755)
Factor -5*i**2 + 1700*i - 1695.
-5*(i - 339)*(i - 1)
Determine l so that 2*l**4 + 32*l**3 - 2*l**2 - 32*l = 0.
-16, -1, 0, 1
Solve -4*p**2 + 64*p + 2880 = 0.
-20, 36
Suppose -m**4/3 - 10*m**3/3 + 4*m**2/3 + 40*m/3 = 0. What is m?
-10, -2, 0, 2
Solve -3*a**2 + 195*a - 558 = 0 for a.
3, 62
Find o, given that -2*o**2/7 + 164*o/7 - 3362/7 = 0.
41
Determine s so that 2*s**5/9 - 2*s**4/3 - 62*s**3/9 + 22*s**2/9 + 52*s/3 - 112/9 = 0.
-4, -2, 1, 7
Factor 676*d**4 + 468*d**3 - 192*d**2 + 16*d.
4*d*(d + 1)*(13*d - 2)**2
Factor -5*r**3 - 1005*r**2 - 67335*r - 1503815.
-5*(r + 67)**3
Factor 4*b**3 + 66*b**2 - 736*b - 384.
2*(b - 8)*(b + 24)*(2*b + 1)
Let -j**2/3 + 10*j/3 + 13 = 0. What is j?
-3, 13
Solve 6*o**3 + 345*o**2/2 + 1929*o/2 - 252 = 0.
-21, -8, 1/4
Solve -2*r**3/3 - 1540*r**2 - 1185800*r - 913066000/3 = 0.
-770
Solve -2*k**3/5 - 24*k**2/5 - 42*k/5 + 196/5 = 0 for k.
-7, 2
Solve -4*v**4 + 8328*v**3 - 4351348*v**2 + 17305584*v - 17272336 = 0 for v.
2, 1039
Factor -2*n**2/5 - 118*n/5 + 24.
-2*(n - 1)*(n + 60)/5
Factor 2*c**2/9 + 3476*c/9 + 1510322/9.
2*(c + 869)**2/9
Determine m, given that -2*m**2/9 - 20*m/9 - 50/9 = 0.
-5
Let -2883*u**3 + 8277*u**2 + 1104*u + 36 = 0. What is u?
-2/31, 3
Suppose 4*u**5 - 20*u**3 + 16*u = 0. Calculate u.
-2, -1, 0, 1, 2
Determine f, given that 2*f**3/5 - 18*f/5 = 0.
-3, 0, 3
What is r in -5*r**4 + 215*r**3 - 615*r**2 + 605*r - 200 = 0?
1, 40
Factor -7*g**4/3 - 4*g**3 - g**2 + 2*g/3.
-g*(g + 1)**2*(7*g - 2)/3
Determine g so that -3*g**4 + 54*g**3 - 243*g**2 + 336*g - 144 = 0.
1, 4, 12
Factor -3*v**2 - 135*v + 7722.
-3*(v - 33)*(v + 78)
Solve -3*s**5 - 6057*s**4 - 3060294*s**3 - 3048186*s**2 + 3060297*s + 3054243 = 0.
-1009, -1, 1
Let 3*g**3/2 - 237*g**2/2 + 117*g = 0. Calculate g.
0, 1, 78
Let -3*r**3/4 + 39*r**2/4 + 36*r = 0. Calculate r.
-3, 0, 16
Factor -2*o**3/5 - 944*o**2/5 + 1896*o/5.
-2*o*(o - 2)*(o + 474)/5
What is q in 2*q**4 + 20*q**3 - 62*q**2 - 560*q + 600 = 0?
-10, -6, 1, 5
Suppose 15*y**2 + 6010*y + 4000 = 0. Calculate y.
-400, -2/3
Factor y**3/3 + 94*y**2 + 8836*y + 830584/3.
(y + 94)**3/3
Solve 15*j**4 - 625*j**3 - 3440*j**2 - 2800*j = 0 for j.
-4, -1, 0, 140/3
Suppose -w**2 - 787*w + 788 = 0. Calculate w.
-788, 1
Factor -10*j**2/17 - 2*j - 12/17.
-2*(j + 3)*(5*j + 2)/17
Factor -4*o**3/9 + 22*o**2/3 - 32*o/9.
-2*o*(o - 16)*(2*o - 1)/9
Solve 3*i**4 - 36*i**3 - 522*i**2 - 1020*i + 1575 = 0.
-5, 1, 21
Factor -s**4/4 + 11*s**3/4 + 25*s**2/4 + 13*s/4.
-s*(s - 13)*(s + 1)**2/4
Suppose -2*k**2/3 - 146*k/3 + 148/3 = 0. What is k?
-74, 1
Suppose -2*c**2 - 21100*c - 55651250 = 0. Calculate c.
-5275
Let -v**5 - 65*v**4 + 425*v**3 - 95*v**2 - 1720*v - 1136 = 0. Calculate v.
-71, -1, 4
Factor y**5/2 - y**4 - y**3/2 + y**2.
y**2*(y - 2)*(y - 1)*(y + 1)/2
What is z in -z**4/4 + 459*z**3/4 + 116*z**2 - 459*z - 460 = 0?
-2, -1,