
-4*(v - 4)**4*(v + 2)
Factor 2*z**4 - 54*z**3 - 528*z**2 - 1120*z.
2*z*(z - 35)*(z + 4)**2
Factor 2*n**4/7 + 4*n**3 - 144*n**2/7.
2*n**2*(n - 4)*(n + 18)/7
Suppose -35*q**5 + 276*q**4 - 209*q**3 - 60*q**2 + 28*q = 0. What is q?
-2/5, 0, 2/7, 1, 7
Determine i, given that 4*i**3 - 64*i**2 + 204*i - 144 = 0.
1, 3, 12
Factor -s**3/5 - 28*s**2/5 - 36*s/5 + 2592/5.
-(s - 8)*(s + 18)**2/5
Factor -2*n**5/21 + 2*n**4/21 + 4*n**3/21 - 4*n**2/21 - 2*n/21 + 2/21.
-2*(n - 1)**3*(n + 1)**2/21
Find s, given that 5*s**4 - 40*s**3 + 30*s**2 + 200*s + 125 = 0.
-1, 5
Factor -10*v**3 + 75*v**2 - 95*v + 30.
-5*(v - 6)*(v - 1)*(2*v - 1)
Factor -3*m**4 + 519*m**3 + 2139*m**2 - 2655*m.
-3*m*(m - 177)*(m - 1)*(m + 5)
Suppose -2*k**3 + 120*k**2 - 2016*k + 6272 = 0. Calculate k.
4, 28
Determine r so that -33*r**3 - 60*r**2 + 12*r = 0.
-2, 0, 2/11
Determine t, given that 2*t**4 + 2*t**3 - 18*t**2 + 22*t - 8 = 0.
-4, 1
Determine c, given that 135*c**5 - 4725*c**4 + 55125*c**3 - 214375*c**2 = 0.
0, 35/3
Let -k**3 + 8*k**2 + 44*k + 48 = 0. What is k?
-2, 12
Factor 4*j**4 + 88*j**3 - 92*j**2.
4*j**2*(j - 1)*(j + 23)
Factor v**5/4 - 3*v**4/4 - 5*v**3/2.
v**3*(v - 5)*(v + 2)/4
Factor 54080*p**3 - 109200*p**2 + 2085*p - 10.
5*(p - 2)*(104*p - 1)**2
Find i, given that 3*i**2/4 - 51*i - 207/4 = 0.
-1, 69
Find a, given that a**4 + 5*a**3 + 7*a**2 + 3*a = 0.
-3, -1, 0
Solve -5*n**5 - 45*n**4 - 75*n**3 - 35*n**2 = 0.
-7, -1, 0
Factor k**2/3 - 42*k + 1323.
(k - 63)**2/3
Factor j**5 + 7*j**4 + 19*j**3 + 25*j**2 + 16*j + 4.
(j + 1)**3*(j + 2)**2
Factor w**2 - 5*w + 4.
(w - 4)*(w - 1)
Factor l**3/4 + 19*l**2/4 + 4*l - 9.
(l - 1)*(l + 2)*(l + 18)/4
Factor 2*x**3/9 - 1316*x**2/9 + 5240*x/9 - 1744/3.
2*(x - 654)*(x - 2)**2/9
Find x such that 4*x**5 - 52*x**4 + 164*x**3 - 188*x**2 + 72*x = 0.
0, 1, 2, 9
Factor -3*l**2 - 15*l - 12.
-3*(l + 1)*(l + 4)
Solve -21*k**5/4 + 10863*k**4/4 - 3081*k**3/4 - 10863*k**2/4 + 1551*k/2 = 0 for k.
-1, 0, 2/7, 1, 517
Suppose -5*x**2 - 35*x - 60 = 0. Calculate x.
-4, -3
Determine f so that -2*f**3/3 - 680*f**2/9 - 226*f/9 = 0.
-113, -1/3, 0
Suppose 3*m**4 + 15*m**3 - 3*m**2 - 51*m + 36 = 0. Calculate m.
-4, -3, 1
Solve 3*p**2 + 168*p + 165 = 0.
-55, -1
Solve 2*a**3/5 - 3306*a**2/5 + 272910*a + 1367858/5 = 0.
-1, 827
Factor -3*f**3 - 48*f**2 - 60*f + 1200.
-3*(f - 4)*(f + 10)**2
Factor -2*y**2 + 2500*y - 2498.
-2*(y - 1249)*(y - 1)
Factor -c**5/2 - 5*c**4/2 + 3*c**3 + 11*c**2 - 37*c/2 + 15/2.
-(c - 1)**3*(c + 3)*(c + 5)/2
Factor -2*o**3 + 18*o**2 + 1410*o - 1426.
-2*(o - 31)*(o - 1)*(o + 23)
Determine l, given that -2*l**2/11 + 542*l/11 - 1076/11 = 0.
2, 269
Determine s, given that -5*s**3 + 15*s**2 + 225*s + 405 = 0.
-3, 9
Factor -2*w**4 + 178*w**3 + 1716*w**2 + 4664*w + 3920.
-2*(w - 98)*(w + 2)**2*(w + 5)
Determine v so that -3*v**5 + 337*v**4 - 775*v**3 + 551*v**2 - 110*v = 0.
0, 1/3, 1, 110
Factor -3*a**2/2 + 3*a + 9/2.
-3*(a - 3)*(a + 1)/2
Factor -f**3 + 64*f**2 + 268*f + 272.
-(f - 68)*(f + 2)**2
Find h such that 5*h**3 + 30*h**2 + 40*h = 0.
-4, -2, 0
Find k such that 4*k**5/17 + 2*k**4/17 - 10*k**3/17 - 2*k**2/17 + 6*k/17 = 0.
-3/2, -1, 0, 1
Factor 12*f**3/17 - 94*f**2/17 - 124*f/17 - 18/17.
2*(f - 9)*(f + 1)*(6*f + 1)/17
Determine a, given that -2*a**3/23 + 28*a**2/23 - 22*a/23 - 52/23 = 0.
-1, 2, 13
Suppose 2*f**2/3 - 34*f/3 + 104/3 = 0. What is f?
4, 13
Let -25*o**5 + 815*o**4 - 5670*o**3 + 12400*o**2 - 3680*o - 3840 = 0. Calculate o.
-2/5, 1, 4, 24
Solve -25*h**2/4 + 15*h/2 - 9/4 = 0 for h.
3/5
Solve 5*n**3 + 110*n**2 + 375*n + 270 = 0.
-18, -3, -1
Solve 5*h**5 + 12000*h**4 + 9587980*h**3 + 2540763990*h**2 - 7689587985*h + 5139224010 = 0.
-801, 1, 2
Factor -4*q**2/5 + 64*q - 1280.
-4*(q - 40)**2/5
Let 2*x**4 + 178*x**3 + 4048*x**2 + 3872*x = 0. Calculate x.
-44, -1, 0
Factor f**3/7 + 522*f**2/7 + 90828*f/7 + 5268024/7.
(f + 174)**3/7
Suppose 2*n**3 + 2*n**2 - 128*n - 128 = 0. What is n?
-8, -1, 8
Factor 20*v**3/13 - 2*v**2/13 - 6*v/13.
2*v*(2*v + 1)*(5*v - 3)/13
Let -3*y**5/5 + 48*y**4/5 - 87*y**3/5 + 42*y**2/5 = 0. What is y?
0, 1, 14
Factor -2*k**3 + 142*k**2 - 412*k + 272.
-2*(k - 68)*(k - 2)*(k - 1)
Suppose -75*f**2 - 13140*f - 575532 = 0. What is f?
-438/5
Find t, given that -2*t**4 + 532*t**3 - 2104*t**2 + 2096*t = 0.
0, 2, 262
Determine p so that 14*p**4 - 592*p**3 - 15792*p**2 - 82240*p + 24800 = 0.
-10, 2/7, 62
What is b in b**3/7 + 6669*b**2/7 + 14825187*b/7 + 10985463567/7 = 0?
-2223
Determine u so that 2*u**5/5 - 2*u**4/5 - 26*u**3/5 + 2*u**2/5 + 24*u/5 = 0.
-3, -1, 0, 1, 4
Find b, given that b**2/2 - 14*b + 26 = 0.
2, 26
What is j in -2*j**2/3 + 2*j/3 + 40/3 = 0?
-4, 5
Factor 4*p**4 + 36*p**3 + 100*p**2 + 108*p + 40.
4*(p + 1)**2*(p + 2)*(p + 5)
Suppose 5*d**5 + 190*d**4 - 815*d**3 + 1040*d**2 - 420*d = 0. Calculate d.
-42, 0, 1, 2
Factor 4*x**5/3 - 16*x**3/3.
4*x**3*(x - 2)*(x + 2)/3
Solve -9*i**4 - 6*i**3 + 36*i**2 + 24*i = 0.
-2, -2/3, 0, 2
Let 2*w**3 - 14*w**2 - 16*w = 0. What is w?
-1, 0, 8
Let 63*x**2 + 4404*x - 420 = 0. Calculate x.
-70, 2/21
Factor -27*x**3/5 - 30*x**2 + 504*x/5 - 192/5.
-3*(x - 2)*(x + 8)*(9*x - 4)/5
Factor 10*g**3 - 85*g**2 + 205*g - 150.
5*(g - 5)*(g - 2)*(2*g - 3)
Factor 4*z**2 - 680*z + 676.
4*(z - 169)*(z - 1)
Factor -3*z**2/2 + 363/2.
-3*(z - 11)*(z + 11)/2
Factor 4*j**4 + 280*j**3 + 5428*j**2 + 18480*j + 17424.
4*(j + 2)**2*(j + 33)**2
Factor -q**2/2 - 1781*q - 3171961/2.
-(q + 1781)**2/2
Factor s**3/9 - s**2 + 11*s/9 + 7/3.
(s - 7)*(s - 3)*(s + 1)/9
Determine u so that 2*u**5/9 - 2*u**4/3 - 2*u**3/3 + 14*u**2/9 + 4*u/3 = 0.
-1, 0, 2, 3
Factor 4*o**4 + 37*o**3/2 + 41*o**2/2 + 3*o/2 - 9/2.
(o + 1)**2*(o + 3)*(8*o - 3)/2
Let 3*a**3/8 + 9*a**2/4 + 9*a/2 + 3 = 0. Calculate a.
-2
Find p such that 2*p**2/5 + 364*p/5 + 16562/5 = 0.
-91
Factor 7*w**3 - 33*w**2 - 28*w + 132.
(w - 2)*(w + 2)*(7*w - 33)
Suppose -2*s**5/11 - 18*s**4/11 + 228*s**3/11 - 700*s**2/11 + 798*s/11 - 306/11 = 0. Calculate s.
-17, 1, 3
Find o, given that -o**4 + 12*o**3 - 38*o**2 + 12*o + 63 = 0.
-1, 3, 7
Determine y so that 40*y**5 + 45*y**4 - 635*y**3 - 720*y**2 - 80*y = 0.
-4, -1, -1/8, 0, 4
Factor 5*c**5 + 4858*c**4 + 1179036*c**3 - 472392*c**2.
c**2*(c + 486)**2*(5*c - 2)
Factor -12*i**3 + 38*i**2 - 30*i + 4.
-2*(i - 2)*(i - 1)*(6*i - 1)
Find b such that 3*b**4 - 24*b**3 - 12*b**2 + 96*b = 0.
-2, 0, 2, 8
Suppose -3*n**5 + 153*n**4 + 816*n**3 + 1332*n**2 + 672*n = 0. What is n?
-2, -1, 0, 56
Factor 2*m**2/3 + 2*m/3 - 4.
2*(m - 2)*(m + 3)/3
Let 3*n**4/7 - 24*n**3/7 - 3*n**2/7 + 24*n/7 = 0. Calculate n.
-1, 0, 1, 8
Factor -2*x**3 - 12*x**2.
-2*x**2*(x + 6)
Factor 4*n**4 - 28*n**3 + 48*n**2 + 16*n - 64.
4*(n - 4)*(n - 2)**2*(n + 1)
Factor q**3 + 26*q**2 + 71*q + 46.
(q + 1)*(q + 2)*(q + 23)
Factor -3*n**2 - 207*n - 204.
-3*(n + 1)*(n + 68)
Factor 6*f**4/7 - 34*f**3/7 + 20*f**2/7.
2*f**2*(f - 5)*(3*f - 2)/7
Solve 3*i**2/4 - 27*i + 243 = 0.
18
Factor -l**3 - 58*l**2 - 419*l + 1078.
-(l - 2)*(l + 11)*(l + 49)
Find b, given that 2*b**2 + 80*b + 800 = 0.
-20
Determine k so that 3*k**4/4 + 240*k**3 - 483*k**2/2 - 240*k + 963/4 = 0.
-321, -1, 1
Solve -4*k**3/5 + 42*k**2/5 - 72*k/5 - 216/5 = 0 for k.
-3/2, 6
Factor 2*z**2/5 - 3812*z/5 + 1816418/5.
2*(z - 953)**2/5
Solve -2*x**3/5 - 4312*x**2/5 - 2324168*x/5 = 0 for x.
-1078, 0
Solve -3*v**2/4 - 3*v = 0 for v.
-4, 0
Determine b so that -b**2/3 + 9*b - 26/3 = 0.
1, 26
Factor -w**4/3 - 11*w**3 - 49*w**2 - 199*w/3 - 28.
-(w + 1)**2*(w + 3)*(w + 28)/3
Factor 4*h**2 - 148*h - 312.
4*(h - 39)*(h + 2)
Factor 2*w**2 + 106*w - 220.
2*(w - 2)*(w + 55)
Suppose -5*x**2/4 - 995*x/4 - 495/2 = 0. Calculate x.
-198, -1
Determine o, given that 12*o**4 + 28*o**3 - 72*o**2 + 32*o = 0.
-4, 0, 2/3, 1
Let 2*b**4/3 - 112*b**3/3 + 36*b**2 + 112*b/3 - 110/3 = 0. Calculate b.
-1, 1, 55
Determine s so that 7*s**4/2 - 20*s**3 + 65*s**2/2 - 10*s - 6 = 0.
-2/7, 1, 2, 3
Suppose -39*v**3 - 162*v**2 - 24*v = 0. What is v?
-4, -2/13, 0
Determine o so that o**5 - 7*o**4 + 15*o**3 - 13*o**2 + 4*o = 0.
0, 1, 4
Factor -2*c**2/3 + 50*c/3 + 36.
-2*(c - 27)*(c + 2)/3
Find u, given that -2*u**5/3 + 12*u**4 - 196*u**3/3 + 392*u**2/3 - 110*u + 100/3 = 0.
1, 5, 10
Suppose -4*h**5/7 - 2*h**4 - 10*h**3/7 + 10*h**2/7 + 2*h + 4/7 = 0. What is h?
-2, -1, -1/2, 1
Suppose 6*u**5/17 + 40*u**4/17 + 4*u**3 - 32*u**2/17 - 138*u/17 - 72/17 = 0. Wha