 1/3
Find z such that -3*z**4 + 36*z**3 - 108*z**2 = 0.
0, 6
Suppose p**4/3 + p**3/3 - p**2/3 - p/3 = 0. What is p?
-1, 0, 1
Determine n, given that n**3/3 - 7*n**2/3 + 16*n/3 - 4 = 0.
2, 3
Factor -4*w**3 + 16*w**2 + 4*w - 16.
-4*(w - 4)*(w - 1)*(w + 1)
Factor -2*v**2/5 - 132*v/5 + 272/5.
-2*(v - 2)*(v + 68)/5
Determine n so that -12*n**3 - 752*n**2 - 1228*n - 488 = 0.
-61, -1, -2/3
Factor 4*h**3 - 17688*h**2 + 19554084*h.
4*h*(h - 2211)**2
What is i in 80*i**3 + 1985*i**2/2 + 3270*i + 1170 = 0?
-6, -13/32
Factor -w**2/5 + 23*w/5 + 10.
-(w - 25)*(w + 2)/5
Factor -5*s**3 + 445*s**2 - 9200*s - 31740.
-5*(s - 46)**2*(s + 3)
Determine t so that 7*t**4/5 - 44*t**3/5 + 89*t**2/5 - 64*t/5 + 12/5 = 0.
2/7, 1, 2, 3
Solve 28*s**5/3 - 988*s**4/3 + 10192*s**3/3 - 26128*s**2/3 + 20992*s/3 - 4096/3 = 0 for s.
2/7, 1, 2, 16
Factor -2*w**3 - 710*w**2 + 1426*w - 714.
-2*(w - 1)**2*(w + 357)
Factor 2*y**3/3 - 532*y**2/3 - 2152*y/3 - 720.
2*(y - 270)*(y + 2)**2/3
Suppose -108*l**5 - 5732*l**4 - 73324*l**3 + 73332*l**2 + 5832*l = 0. Calculate l.
-27, -2/27, 0, 1
Find s, given that -18*s**2/7 + 158*s/7 + 36/7 = 0.
-2/9, 9
Let 3*v**5/8 + 9*v**4/8 - 21*v**3/8 - 45*v**2/8 + 27*v/4 = 0. What is v?
-3, 0, 1, 2
Let o**5/5 - 2*o**4 - 67*o**3/5 - 116*o**2/5 - 12*o = 0. What is o?
-2, -1, 0, 15
Let 5*p**4 - 455*p**3 - 18645*p**2 - 218405*p - 825220 = 0. Calculate p.
-11, 124
Factor 2*o**4/11 - 12*o**3/11 + 24*o**2/11 - 20*o/11 + 6/11.
2*(o - 3)*(o - 1)**3/11
Factor 3*z**2/2 - 48*z + 384.
3*(z - 16)**2/2
Let v**2/2 + 9*v/2 - 5 = 0. What is v?
-10, 1
Factor 2*u**5 - 32*u**3 + 76*u**2 - 66*u + 20.
2*(u - 2)*(u - 1)**3*(u + 5)
Let -2*i**5/5 - 273*i**4/5 - 1718*i**3/5 - 3663*i**2/5 - 2996*i/5 - 156 = 0. What is i?
-130, -3, -2, -1, -1/2
Determine x so that 5*x**4 + 100*x**3 - 625*x**2 = 0.
-25, 0, 5
Find n, given that -4489*n**2/6 - 7370*n - 18150 = 0.
-330/67
Solve -2*l**2 - 6*l - 4 = 0.
-2, -1
Find d such that -d**2/3 + 67*d/3 + 68/3 = 0.
-1, 68
What is p in -p**5/3 + 4*p**4/3 + 6*p**3 + 20*p**2/3 + 7*p/3 = 0?
-1, 0, 7
Solve 841*k**5/6 + 1421*k**4 - 29953*k**3/6 + 8807*k**2/3 + 478*k + 52/3 = 0 for k.
-13, -2/29, 1, 2
Let 25*v**5/6 - 790*v**4/3 - 1301*v**3/6 + 662*v**2/3 + 638*v/3 + 128/3 = 0. Calculate v.
-1, -2/5, 1, 64
Factor 2*i**3 + 166*i**2 + 3360*i - 3528.
2*(i - 1)*(i + 42)**2
Factor 6*y**4 - 3*y**3 - 15*y**2 - 6*y.
3*y*(y - 2)*(y + 1)*(2*y + 1)
Factor -13*j**2 - 88*j.
-j*(13*j + 88)
Factor -12*z**3 - 393*z**2 - 2661*z + 690.
-3*(z + 10)*(z + 23)*(4*z - 1)
What is z in -14*z**3/5 - 2418*z**2/5 + 692*z/5 = 0?
-173, 0, 2/7
Determine i so that 20*i**4 + 335*i**3 + 610*i**2 + 295*i = 0.
-59/4, -1, 0
Factor 5*x**4 - 95*x**2 - 30*x + 360.
5*(x - 4)*(x - 2)*(x + 3)**2
What is c in -8*c**5 - 38*c**4 + 318*c**3 + 1008*c**2 - 3240*c = 0?
-6, 0, 9/4, 5
Find h such that 4*h**3/5 - 64*h**2/5 + 276*h/5 - 72 = 0.
3, 10
Solve -4*i**4 - 148*i**3 - 788*i**2 - 1388*i - 744 = 0.
-31, -3, -2, -1
Factor -n**4/4 + 23*n**3/2 + 3*n**2/4 - 35*n + 23.
-(n - 46)*(n - 1)**2*(n + 2)/4
Factor -2*t**2/5 - 6*t/5 + 36/5.
-2*(t - 3)*(t + 6)/5
Factor 4*p**2/5 - 64*p/5 - 228/5.
4*(p - 19)*(p + 3)/5
Let -27*k**5/4 + 597*k**4/8 - 1911*k**3/8 + 1323*k**2/8 + 345*k/8 - 75/2 = 0. Calculate k.
-4/9, 1/2, 1, 5
Solve -33*s**5 + 126*s**4 - 75*s**3 - 150*s**2 + 108*s + 24 = 0.
-1, -2/11, 1, 2
Determine n so that 3*n**4 - 60*n**3 - 3*n**2 + 60*n = 0.
-1, 0, 1, 20
Factor q**2 + 7*q + 10.
(q + 2)*(q + 5)
Let 3*o**4 - 729*o**3 + 43179*o**2 + 134685*o + 90774 = 0. What is o?
-2, -1, 123
Factor 3*v**3 - 9*v - 6.
3*(v - 2)*(v + 1)**2
Suppose 5*t**4 - 25*t**3 + 40*t**2 - 20*t = 0. What is t?
0, 1, 2
Solve 256*j**5 + 2880*j**4 + 6704*j**3 - 6148*j**2 + 1632*j - 140 = 0.
-7, -5, 1/4
What is c in -2*c**2/3 - 14*c/3 - 20/3 = 0?
-5, -2
What is d in 36*d**4 - 568*d**3 + 2176*d**2 + 512*d = 0?
-2/9, 0, 8
Suppose j**2/7 + 344*j/7 + 29584/7 = 0. Calculate j.
-172
Suppose n**4/2 + 17*n**3/2 + 51*n**2 + 126*n + 108 = 0. What is n?
-6, -3, -2
Determine f so that -f**3 + 285*f**2 - 22275*f + 273375 = 0.
15, 135
Suppose 2*g**3/3 - 6*g**2 + 4*g + 32/3 = 0. What is g?
-1, 2, 8
Suppose 3*n**2 - 702*n - 1416 = 0. Calculate n.
-2, 236
Solve 3993*g**5 - 62073*g**4 + 176814*g**3 - 84372*g**2 + 14616*g - 864 = 0 for g.
2/11, 3, 12
Solve -2*r**2/11 - 6*r/11 = 0.
-3, 0
What is j in 3*j**5/4 + 15*j**4/4 - 33*j**3/2 + 12*j**2 = 0?
-8, 0, 1, 2
Factor w**4/3 + 628*w**3/3 + 49298*w**2 + 15479572*w/3 + 607573201/3.
(w + 157)**4/3
Factor -2*v**3/5 - 3084*v**2 - 7925880*v - 6789837200.
-2*(v + 2570)**3/5
Find o, given that -6*o**5/5 - 4*o**4 + 2*o**3 + 8*o**2 - 24*o/5 = 0.
-3, -2, 0, 2/3, 1
Suppose -2*k**5/3 + 44*k**4/3 - 152*k**3/3 + 48*k**2 = 0. What is k?
0, 2, 18
Factor 15*r**2 - 5*r.
5*r*(3*r - 1)
Factor 2*n**2/5 + 62*n/5 - 132/5.
2*(n - 2)*(n + 33)/5
Determine s so that -3*s**3 + 393*s**2 + 402*s - 792 = 0.
-2, 1, 132
Factor -4*l**5 - 316*l**4 + 644*l**3 - 324*l**2.
-4*l**2*(l - 1)**2*(l + 81)
Factor 3*a**2 + 426*a + 15123.
3*(a + 71)**2
What is g in 4*g**5/3 - 50*g**4/3 + 20*g**3 + 70*g**2/3 - 44*g/3 = 0?
-1, 0, 1/2, 2, 11
Solve -3*s**3 + 24*s**2 - 27*s - 54 = 0.
-1, 3, 6
Factor -2*y**5/3 - 166*y**4/3 - 4400*y**3/3 - 12584*y**2.
-2*y**2*(y + 22)**2*(y + 39)/3
Factor -2*z**4/7 + 48*z**3/7 - 54*z**2 + 972*z/7.
-2*z*(z - 9)**2*(z - 6)/7
Suppose -4*c**5 + 120*c**4 - 228*c**3 - 11552*c**2 = 0. What is c?
-8, 0, 19
Factor -5*y**3 + 80*y**2 - 240*y.
-5*y*(y - 12)*(y - 4)
Factor -z**3/9 - 158*z**2/9 + 53*z/3.
-z*(z - 1)*(z + 159)/9
Factor -p**2/3 + 115*p/3 + 462.
-(p - 126)*(p + 11)/3
Determine f so that -5*f**2 - 215*f - 210 = 0.
-42, -1
Determine r so that -r**4/7 + 43*r**3/7 - 585*r**2/7 + 2025*r/7 + 6750/7 = 0.
-2, 15
Factor -3*a**3 - 684*a**2 - 38295*a + 79350.
-3*(a - 2)*(a + 115)**2
Factor 372*l**2 + 736*l - 16.
4*(l + 2)*(93*l - 2)
Factor 32*w**3/5 + 28*w**2/5 - 4*w/5.
4*w*(w + 1)*(8*w - 1)/5
Factor 5*i**5 - 60*i**4 + 210*i**3 - 260*i**2 + 105*i.
5*i*(i - 7)*(i - 3)*(i - 1)**2
Find n, given that -n**5/12 + 11*n**4/6 + 47*n**3/12 + 2*n**2 = 0.
-1, 0, 24
Find p such that 8*p**5/7 + 388*p**4/7 + 580*p**3 + 1880*p**2 + 2832*p/7 - 20448/7 = 0.
-71/2, -6, -2, 1
Solve -4*q**2/3 + 640*q/3 = 0 for q.
0, 160
Factor -b**3/6 - 14*b**2/3 - 40*b - 96.
-(b + 4)*(b + 12)**2/6
Solve 10*a**4/13 + 2*a**3/13 - 10*a**2/13 - 2*a/13 = 0 for a.
-1, -1/5, 0, 1
Determine p, given that -10*p**2 - 2*p + 1664 = 0.
-13, 64/5
Factor 2*l**2/3 - 22*l/3 - 160/3.
2*(l - 16)*(l + 5)/3
Find x such that 5*x**2 - 230*x + 225 = 0.
1, 45
Factor i**5 + 12*i**4 + 45*i**3 + 54*i**2.
i**2*(i + 3)**2*(i + 6)
Let 128*n**3 - 136*n**2 + 65*n/8 - 1/8 = 0. Calculate n.
1/32, 1
Factor 5*y**4/6 + 65*y**3/6 - 130*y**2/3 - 160*y/3.
5*y*(y - 4)*(y + 1)*(y + 16)/6
Determine h, given that -h**4/7 + 9*h**3/7 + 18*h**2/7 - 68*h/7 - 120/7 = 0.
-2, 3, 10
Let -10*j**5/9 + 16*j**4 - 182*j**3/3 + 196*j**2/9 = 0. What is j?
0, 2/5, 7
Let -a**3/5 + 13*a/5 - 12/5 = 0. Calculate a.
-4, 1, 3
Factor k**3/6 + 679*k**2/3 + 229840*k/3 - 462400/3.
(k - 2)*(k + 680)**2/6
Find n, given that 2*n**4/11 - 14*n**3/11 + 30*n**2/11 - 18*n/11 = 0.
0, 1, 3
Find f, given that 2*f**5/17 - 28*f**4/17 - 2*f**3/17 + 28*f**2/17 = 0.
-1, 0, 1, 14
Determine v, given that -v**4/8 - 3*v**3/8 + 3*v**2/8 + 7*v/8 - 3/4 = 0.
-3, -2, 1
Suppose 4*d**2 - 44*d - 48 = 0. What is d?
-1, 12
Suppose -4*t**3/3 + 44*t**2/3 - 76*t/3 + 12 = 0. What is t?
1, 9
Factor 3*t**5/2 + 147*t**4/2 + 1725*t**3/2 - 1875*t**2/2.
3*t**2*(t - 1)*(t + 25)**2/2
Suppose -21*q**3 + 341*q**2 - 76*q - 64 = 0. Calculate q.
-1/3, 4/7, 16
Factor -h**3/3 - 41*h**2/3 + h/3 + 41/3.
-(h - 1)*(h + 1)*(h + 41)/3
Let -2*s**4 + 278*s**3 + 280*s**2 = 0. Calculate s.
-1, 0, 140
Find s, given that -3*s**4/2 - 21*s**3/2 - 21*s**2 - 12*s = 0.
-4, -2, -1, 0
Determine i so that -5*i**2 - 370*i = 0.
-74, 0
Determine f, given that -2*f**3/5 - 6*f**2/5 + 8*f/5 + 24/5 = 0.
-3, -2, 2
Factor 19*f**3 - 27*f**2 + 8*f.
f*(f - 1)*(19*f - 8)
What is q in -2*q**5 - 128*q**4 - 1778*q**3 + 8572*q**2 - 11288*q + 4624 = 0?
-34, 1, 2
Solve 34*p**2/13 + 4*p/13 = 0.
-2/17, 0
Factor 2*i**5/9 + 4*i**4/3 + 26*i**3/9 + 8*i**2/3 + 8*i/9.
2*i*(i + 1)**2*(i + 2)**2/9
Determine p, given that -2*p**5/19 + 40*p**4/19 - 198*p**3/19 - 40*p**2/19 + 200*p/19 = 0.
-1, 0, 1, 10
Factor -2*g**3 + 2408*g**2 - 722394*g - 14544