Factor 2*k**3 - 142*k**2 + 2236*k - 3920.
2*(k - 49)*(k - 20)*(k - 2)
Factor n**4/6 + 7*n**3/3 - 37*n**2/2 + 30*n.
n*(n - 3)**2*(n + 20)/6
Suppose -8*i**4 - 324*i**3 + 164*i**2 = 0. Calculate i.
-41, 0, 1/2
Factor m**4/2 - 18*m**3 + 243*m**2 - 1458*m + 6561/2.
(m - 9)**4/2
Suppose o**5/3 + 748*o**4/3 + 46625*o**3 - 748*o**2/3 - 139876*o/3 = 0. What is o?
-374, -1, 0, 1
Suppose 5*m**5 - 37*m**4 + 14*m**3 = 0. What is m?
0, 2/5, 7
Factor 4*h**3 + 1268*h**2 + 91740*h - 1415700.
4*(h - 13)*(h + 165)**2
Factor -2*l**2/7 - 12*l/7 - 18/7.
-2*(l + 3)**2/7
What is p in p**3 - 7859*p**2/2 + 3859260*p + 3861225/2 = 0?
-1/2, 1965
Solve -4*g**3 - 14*g**2 + 154*g - 136 = 0.
-17/2, 1, 4
What is f in -f**5 + 40*f**4 - 436*f**3 + 682*f**2 + 437*f - 722 = 0?
-1, 1, 2, 19
Factor -3*t**4 + 3588*t**3 - 7167*t**2 + 3582*t.
-3*t*(t - 1194)*(t - 1)**2
Factor -2*m**2 + 2*m + 4.
-2*(m - 2)*(m + 1)
What is q in 25*q**3 - 170*q**2 + 124*q - 24 = 0?
2/5, 6
Find p, given that -2*p**3/3 - 18*p**2 - 58*p + 230/3 = 0.
-23, -5, 1
Factor -5*s**2 - 610*s.
-5*s*(s + 122)
Suppose 7*c**2/6 - 11*c/3 + 5/2 = 0. Calculate c.
1, 15/7
Factor -2*m**2/11 - 86*m/11 + 180/11.
-2*(m - 2)*(m + 45)/11
Suppose -3*b**5/2 + 3*b**3/2 = 0. Calculate b.
-1, 0, 1
Find r, given that -50*r**2 + 740*r - 2738 = 0.
37/5
Factor -2*f**4 - 14*f**3 + 98*f**2 + 110*f.
-2*f*(f - 5)*(f + 1)*(f + 11)
Factor -f**3 - 679*f**2/2 - 29400*f - 98784.
-(f + 168)**2*(2*f + 7)/2
Solve -3*a**4 - 30*a**3 + 96*a**2 + 1152*a = 0 for a.
-8, 0, 6
Suppose -400*z**2/3 - 80*z/3 - 4/3 = 0. Calculate z.
-1/10
Factor -5*q**4/6 + 35*q**3/6 - 25*q**2/3.
-5*q**2*(q - 5)*(q - 2)/6
Factor 162*u**3/5 - 321*u**2/5 - 6*u/5.
3*u*(u - 2)*(54*u + 1)/5
Solve -5*w**2 - 1840*w - 1835 = 0.
-367, -1
Factor 363*f**4/7 - 594*f**3/7 + 111*f**2/7 + 108*f/7 + 12/7.
3*(f - 1)**2*(11*f + 2)**2/7
Factor -p**5 + 2*p**4 + 6*p**3 - 20*p**2 + 19*p - 6.
-(p - 2)*(p - 1)**3*(p + 3)
Factor 4*r**3 + 92*r**2 + 572*r + 484.
4*(r + 1)*(r + 11)**2
What is l in -4*l**2/3 - 164*l/3 + 56 = 0?
-42, 1
Factor z**2/2 - 77*z/2 + 75.
(z - 75)*(z - 2)/2
Factor x**2/2 - 93*x/2.
x*(x - 93)/2
Let 3*z**2 - 30*z - 72 = 0. Calculate z.
-2, 12
Suppose -b**2/2 + 95*b = 0. Calculate b.
0, 190
Factor -3*l**2 + 7944*l - 5258928.
-3*(l - 1324)**2
Determine f so that 2*f**5 - 54*f**4/5 - 58*f**3 - 306*f**2/5 - 8*f/5 + 72/5 = 0.
-2, -1, 2/5, 9
Find l such that -5*l**3 + 19*l**2 - 11*l - 3 = 0.
-1/5, 1, 3
What is n in -n**5 + 2*n**4 + 13*n**3 + 10*n**2 = 0?
-2, -1, 0, 5
Factor 11*r**2/3 + 1813*r/3 - 110.
(r + 165)*(11*r - 2)/3
Determine r so that 2*r**5/7 - 2*r**4 + 36*r**3/7 - 40*r**2/7 + 16*r/7 = 0.
0, 1, 2
Factor -5*i**4 + 1960*i**3 + 3940*i**2.
-5*i**2*(i - 394)*(i + 2)
Factor -3*k**2/5 - 132*k - 7260.
-3*(k + 110)**2/5
Let 2*x**5/5 - 38*x**4/5 + 114*x**3/5 + 638*x**2/5 + 484*x/5 = 0. Calculate x.
-2, -1, 0, 11
Solve -n**5/6 + 59*n**4/6 - 389*n**3/3 - 1349*n**2/3 - 2821*n/6 - 961/6 = 0.
-1, 31
Solve 98*q**5/13 + 14462*q**4/13 + 92030*q**3/13 + 173418*q**2/13 + 77904*q/13 + 10152/13 = 0 for q.
-141, -3, -2/7
Factor m**3 + 11*m**2 - 40*m + 28.
(m - 2)*(m - 1)*(m + 14)
Determine c, given that -2*c**3/9 + 164*c**2/9 + 752*c/3 = 0.
-12, 0, 94
Solve 10*v**4/3 - 18*v**3 - 460*v**2/3 + 424*v - 144 = 0.
-6, 2/5, 2, 9
Suppose -3*w**5 + 6*w**4 + 60*w**3 - 186*w**2 + 183*w - 60 = 0. What is w?
-5, 1, 4
Suppose 2*g**4/11 - 64*g**3/11 - 6*g**2 = 0. What is g?
-1, 0, 33
Determine m, given that -30*m**2 + 93*m - 9 = 0.
1/10, 3
Suppose 14*b**4/19 + 88*b**3/19 - 200*b**2/19 - 64*b/19 = 0. Calculate b.
-8, -2/7, 0, 2
Determine h so that h**3 - 15*h**2 + 48*h + 64 = 0.
-1, 8
Find k such that k**2 + 11712*k + 34292736 = 0.
-5856
Factor -2*z**4 + 4*z**3 + 2*z**2 - 4*z.
-2*z*(z - 2)*(z - 1)*(z + 1)
What is z in 2*z**3 - 7*z**2/2 + 3*z/2 = 0?
0, 3/4, 1
Factor 2*w**2 + 162*w + 1168.
2*(w + 8)*(w + 73)
Factor -2*o**2 - 762*o - 1516.
-2*(o + 2)*(o + 379)
Solve 28*t**5 - 148*t**4 + 264*t**3 - 176*t**2 + 32*t = 0.
0, 2/7, 1, 2
Suppose -m**5 - 241*m**4 - 716*m**3 - 476*m**2 = 0. What is m?
-238, -2, -1, 0
Suppose 5*f**2 - 1185*f + 3510 = 0. What is f?
3, 234
What is t in -t**5/2 + 67*t**4/3 + 61*t**3/2 + 23*t**2/3 = 0?
-1, -1/3, 0, 46
Suppose 5*w**5 + 10*w**4 - 95*w**3 + 140*w**2 - 60*w = 0. What is w?
-6, 0, 1, 2
Find p such that -2*p**3/21 + 2*p**2/7 - 4*p/21 = 0.
0, 1, 2
Solve -4*o**2 + 416*o - 10816 = 0 for o.
52
Factor -h**2/5 - 32*h/5 + 33/5.
-(h - 1)*(h + 33)/5
Determine v so that -54*v**5/7 + 270*v**4/7 + 684*v**3/7 + 488*v**2/7 + 16*v = 0.
-2/3, 0, 7
What is h in h**5/8 + 57*h**4/2 - 229*h**3/8 = 0?
-229, 0, 1
Determine k, given that 2*k**5/9 + 94*k**4/9 + 356*k**3/9 + 524*k**2/9 + 346*k/9 + 86/9 = 0.
-43, -1
Determine b so that -89*b**5/3 - 358*b**4/3 - 62*b**3 + 352*b**2/3 + 275*b/3 + 2 = 0.
-3, -1, -2/89, 1
Suppose -4*f**5 + 16*f**4 - 16*f**3 - 8*f**2 + 20*f - 8 = 0. What is f?
-1, 1, 2
Suppose 5*h**2/6 - 47*h/2 + 14/3 = 0. Calculate h.
1/5, 28
Solve -5*p**3 + 5050*p**2 = 0.
0, 1010
Factor 4*s**4 - 4*s**3 - 36*s**2 - 44*s - 16.
4*(s - 4)*(s + 1)**3
Solve 9*p**4 - 21*p**3 - 18*p**2 + 36*p + 24 = 0 for p.
-1, -2/3, 2
Determine p, given that -p**5/9 - 10*p**4/9 - 5*p**3/9 + 160*p**2/9 + 100*p/3 + 16 = 0.
-6, -1, 4
Factor 2*z**2/11 + 5492*z/11 + 3770258/11.
2*(z + 1373)**2/11
Find m, given that -m**2/12 - 4*m/3 + 19/4 = 0.
-19, 3
What is y in -5*y**3 - 1565*y**2 + 5*y + 1565 = 0?
-313, -1, 1
Determine l so that l**3/3 + 131*l**2/3 + 1408*l - 1452 = 0.
-66, 1
Determine c so that 5*c**2/2 + 1065*c + 226845/2 = 0.
-213
Suppose 162*y**5/7 + 225*y**4/7 - 75*y**3 + 90*y**2/7 + 48*y/7 = 0. What is y?
-8/3, -2/9, 0, 1/2, 1
Factor 3*h**5 + 21*h**4/4 + 9*h**3/4.
3*h**3*(h + 1)*(4*h + 3)/4
Suppose -2*k**2 - 134*k - 620 = 0. What is k?
-62, -5
Determine p so that -31250*p**5/7 + 75625*p**4 - 469100*p**3/7 - 21744*p**2/7 + 119232*p/7 - 27648/7 = 0.
-1/2, 12/25, 16
Determine r so that -4*r**5/9 - 6*r**4 - 64*r**3/9 + 34*r**2/3 + 68*r/9 - 16/3 = 0.
-12, -2, -1, 1/2, 1
What is f in 2*f**5 + 16*f**4 - 40*f**3 = 0?
-10, 0, 2
Let -3*i**2 - 1332*i - 1329 = 0. What is i?
-443, -1
Determine z so that 3*z**3/5 + 12*z**2/5 - 3*z/5 - 12/5 = 0.
-4, -1, 1
Suppose 137842*w**4/3 + 6724*w**3 + 328*w**2 + 16*w/3 = 0. What is w?
-2/41, 0
Suppose -2*k**2/9 - 70*k/9 = 0. Calculate k.
-35, 0
Factor m**3/4 - 21*m**2/4 - 49*m/4 + 69/4.
(m - 23)*(m - 1)*(m + 3)/4
Factor v**4/6 - 22*v**3 + 65*v**2 - 194*v/3 + 43/2.
(v - 129)*(v - 1)**3/6
Factor -i**3 - 10*i**2 - 12*i + 72.
-(i - 2)*(i + 6)**2
Factor o**3/4 - o**2/4 - 33*o/4 - 63/4.
(o - 7)*(o + 3)**2/4
Factor 3*w**3 - 9*w**2/2 + 9*w/4 - 3/8.
3*(2*w - 1)**3/8
Factor -14*a**3 - 1088*a**2 - 20982*a + 6084.
-2*(a + 39)**2*(7*a - 2)
What is a in a**3/5 - 13*a/5 + 12/5 = 0?
-4, 1, 3
Factor -s**2 + 940*s - 220900.
-(s - 470)**2
What is j in j**5/2 + 7*j**4/2 + 3*j**3 - 16*j**2 - 16*j = 0?
-4, -1, 0, 2
Find d such that 2*d**4 + 10*d**3 = 0.
-5, 0
Factor -5*z**2 + 9395*z - 9390.
-5*(z - 1878)*(z - 1)
Factor 2*r**2 + 118*r + 116.
2*(r + 1)*(r + 58)
Solve -c**4 - 27*c**3 - 168*c**2 + 196*c = 0 for c.
-14, 0, 1
What is b in b**5/2 + 7*b**4/2 + 2*b**3 - 6*b**2 = 0?
-6, -2, 0, 1
Factor 2*v**5 + 16*v**4 - 112*v**3 - 896*v**2 - 1888*v - 1280.
2*(v - 8)*(v + 2)**3*(v + 10)
What is z in 2*z**4/9 - 10*z**3/3 + 38*z**2/9 + 58*z/3 + 104/9 = 0?
-1, 4, 13
Factor 2*k**2 - 52*k + 50.
2*(k - 25)*(k - 1)
Find x such that -x**2/3 - 47*x/3 + 16 = 0.
-48, 1
Solve -2*t**4 + 10*t**3 - 8*t**2 = 0.
0, 1, 4
Determine z, given that -2*z**4/5 + 512*z**3/5 - 3024*z**2/5 + 6016*z/5 - 800 = 0.
2, 250
Factor z**4/3 - 8*z**3/3 - 74*z**2/3 + 120*z + 675.
(z - 9)**2*(z + 5)**2/3
Let 2*b**2/7 - 270*b/7 + 76 = 0. Calculate b.
2, 133
Factor -20*i**3 + 868*i**2 - 344*i.
-4*i*(i - 43)*(5*i - 2)
Solve 2*w**2 - 8*w/5 - 66/5 = 0.
-11/5, 3
Solve x**4 + 31*x**3 + 87*x**2 + 85*x + 28 = 0.
-28, -1
Determine o so that -3*o**4 - 24*o**3 - 51*o**2 + 6*o + 72 = 0.
-4, -3, -2, 1
Factor 3*o**5 + 12*o**4 - 48*o**3 - 192*o**2.
3*o**2*(o - 4)*(o + 4)**2
Factor x**3 - 4*x**2 + 3*x.
x*(x - 3)*(x - 1)
Suppose 3*n**2 + 1239*n + 1236 = 0. What is n?
-412, -1
Factor 5*n**3 - 1585*n**2 + 15475*n - 38375.
5*(n - 307)*(n - 5)**2
Find n, given that 3*n**2 + 2568*n + 549552 = 0.
-428
Find l such that l**4 - 5*l**3 - 70*l**2 - 160*l - 96 = 0.
-4, -2, -1, 12
Factor -m**2