
Factor x**2/2 - 69*x + 4761/2.
(x - 69)**2/2
Find u such that -3*u**4/7 - 120*u**3/7 + 18*u**2 + 120*u/7 - 123/7 = 0.
-41, -1, 1
Determine p so that 5*p**3 + 345*p**2 - 1820*p + 2220 = 0.
-74, 2, 3
Factor 798848*a**3 + 806432*a**2 + 7602*a + 18.
2*(a + 1)*(632*a + 3)**2
Find p such that -2*p**2 - 440*p - 872 = 0.
-218, -2
Factor b**3/8 + 29*b**2/2 + 113*b/2 + 56.
(b + 2)**2*(b + 112)/8
What is a in -27*a**4/7 - 36*a**3 - 471*a**2/7 + 402*a/7 - 72/7 = 0?
-6, -4, 1/3
Determine z so that -z**2/4 - 235*z/2 - 55225/4 = 0.
-235
Find m such that -4*m**4/3 + 16*m**3 - 76*m**2/3 - 16*m + 80/3 = 0.
-1, 1, 2, 10
Solve 4*l**2 - 368*l = 0 for l.
0, 92
Factor -9*a**4 + 43*a**3 - 17*a**2 - 87*a - 18.
-(a - 3)**2*(a + 1)*(9*a + 2)
Factor -7*i**4/6 - 5*i**3/2 - 3*i**2/2 - i/6.
-i*(i + 1)**2*(7*i + 1)/6
Solve 2*t**5/17 + 8*t**4/17 - 10*t**3/17 = 0.
-5, 0, 1
Suppose j**5/7 - 10*j**4/7 - 37*j**3/7 - 26*j**2/7 = 0. What is j?
-2, -1, 0, 13
Solve 4*p**2 + 64*p + 220 = 0.
-11, -5
Factor -81*q**5/7 + 999*q**4 - 9234*q**3/7 + 4602*q**2/7 - 1021*q/7 + 85/7.
-(q - 85)*(3*q - 1)**4/7
What is t in -t**5/4 - 5*t**4/4 + 6*t**3 - t**2 - 8*t = 0?
-8, -1, 0, 2
Determine k, given that -k**5 + 176*k**4 - 7008*k**3 - 64768*k**2 - 135424*k = 0.
-4, 0, 92
Factor 2*a**4/5 - 8*a**3/5 - 56*a**2/5 - 64*a/5.
2*a*(a - 8)*(a + 2)**2/5
Factor 5*r**2/3 - 15*r - 50/3.
5*(r - 10)*(r + 1)/3
Let 2*c**5/7 - 90*c**4/7 + 204*c**3 - 1288*c**2 + 2352*c = 0. What is c?
0, 3, 14
Factor 3*w**2 + 606*w.
3*w*(w + 202)
Factor 2*n**2/7 - 2476*n/7 - 354.
2*(n - 1239)*(n + 1)/7
Find x, given that -5*x**5/6 + 8*x**4/3 + 9*x**3/2 - 23*x**2/3 + 4*x/3 = 0.
-2, 0, 1/5, 1, 4
Let -2*j**5/13 - 10*j**4/13 + 10*j**3 - 70*j**2/13 - 560*j/13 - 352/13 = 0. Calculate j.
-11, -1, 4
Find d, given that d**2 + 17410*d + 75777025 = 0.
-8705
Solve u**5/5 - 3*u**4/5 - 32*u**3/5 - 12*u**2 - 32*u/5 = 0.
-2, -1, 0, 8
Let 3*v**3/4 + 33*v**2/4 + 3*v - 45 = 0. Calculate v.
-10, -3, 2
Solve 2*u**3/13 + 76*u**2/13 + 138*u/13 - 216/13 = 0 for u.
-36, -3, 1
What is s in -5*s**4/2 + 55*s**3/2 + 30*s**2 = 0?
-1, 0, 12
Let 4*z**2 - 9562*z - 4782 = 0. Calculate z.
-1/2, 2391
Factor 16*d**2 + 26*d - 12.
2*(d + 2)*(8*d - 3)
Solve -5*m**4 - 100*m**3 - 585*m**2 - 710*m + 1400 = 0 for m.
-10, -7, -4, 1
Determine h so that h**5/7 + 124*h**4/7 + 84*h**3 - 838*h**2/7 - 589*h/7 + 102 = 0.
-119, -6, -1, 1
Factor 4*p**2 - 2700*p - 13600.
4*(p - 680)*(p + 5)
Factor -10*o**5 + 16*o**4 + 8*o**3.
-2*o**3*(o - 2)*(5*o + 2)
Factor 2*m**4/13 + 2*m**3 - 336*m**2/13.
2*m**2*(m - 8)*(m + 21)/13
Factor 4*o**2 + 12232*o + 9351364.
4*(o + 1529)**2
Factor y**3 + 5*y**2 + 7*y + 3.
(y + 1)**2*(y + 3)
Suppose -5*p**2 + 11471*p - 2294 = 0. Calculate p.
1/5, 2294
Factor -s**5 - 4*s**4 - s**3 + 10*s**2 + 4*s - 8.
-(s - 1)**2*(s + 2)**3
Factor 3*v**4/5 - 282*v**3/5 - 3*v**2/5 + 282*v/5.
3*v*(v - 94)*(v - 1)*(v + 1)/5
Solve b**5/2 - 9*b**4/2 - 21*b**3/2 - 11*b**2/2 = 0.
-1, 0, 11
Factor m**2 - 71*m - 146.
(m - 73)*(m + 2)
Factor -4*x**2 + 16*x - 16.
-4*(x - 2)**2
Find w such that -15*w**5 + 756*w**4 - 285*w**3 - 756*w**2 + 300*w = 0.
-1, 0, 2/5, 1, 50
What is z in z**2/4 - 1353*z/2 + 1830609/4 = 0?
1353
Determine c, given that -c**2 - 24*c + 112 = 0.
-28, 4
Determine m so that -405*m**4 - 4275*m**3 + 1960*m**2 - 220*m = 0.
-11, 0, 2/9
Determine j, given that -3*j**2/2 + 3*j + 9/2 = 0.
-1, 3
Solve -3*n**5/8 - 3*n**4/2 - 15*n**3/8 - 3*n**2/4 = 0.
-2, -1, 0
Factor -4*o**3/7 + 104*o**2/7 - 116*o + 280.
-4*(o - 14)*(o - 7)*(o - 5)/7
Factor -5*t**2 - 275*t - 530.
-5*(t + 2)*(t + 53)
Find j, given that -3*j**2 - 42*j - 39 = 0.
-13, -1
Determine g so that -3*g**4 - 117*g**3 + 774*g**2 - 1596*g + 1080 = 0.
-45, 2
Factor -2*f**3 - 44*f**2 - 306*f - 648.
-2*(f + 4)*(f + 9)**2
Factor -2*h**4 + 36*h**3 + 6*h**2 - 112*h + 72.
-2*(h - 18)*(h - 1)**2*(h + 2)
Find n, given that n**2/5 + 178*n/5 + 7921/5 = 0.
-89
Determine z, given that -14*z**5 - 66*z**4 + 118*z**3 + 42*z**2 - 104*z + 24 = 0.
-6, -1, 2/7, 1
Determine f, given that 2*f**4/13 - 482*f**2/13 + 480*f/13 = 0.
-16, 0, 1, 15
Factor -2*h**2 - 52*h - 138.
-2*(h + 3)*(h + 23)
Find u such that -5*u**3/3 + 25*u**2 - 60*u = 0.
0, 3, 12
Find g, given that 19*g**5/2 - 401*g**4/2 + 1923*g**3/2 + 2101*g**2/2 - 121*g = 0.
-1, 0, 2/19, 11
Factor -7*l**2/4 + 5*l/2 + 2.
-(l - 2)*(7*l + 4)/4
Factor 2*s**2 + 34*s + 144.
2*(s + 8)*(s + 9)
Solve j**5 - 2*j**4 - 43*j**3 - 52*j**2 + 96*j = 0 for j.
-4, -3, 0, 1, 8
Find n, given that n**2/3 - 49/3 = 0.
-7, 7
Factor -5*y**4 - 5*y**3 + 135*y**2 + 405*y + 270.
-5*(y - 6)*(y + 1)*(y + 3)**2
Solve -k**2 + 38*k - 105 = 0 for k.
3, 35
Factor f**2 + 1346*f + 1345.
(f + 1)*(f + 1345)
Let -2*j**2/7 - 1168*j/7 - 170528/7 = 0. What is j?
-292
Factor -2*r**4/21 + 78*r**3/7 - 22*r**2 + 230*r/21.
-2*r*(r - 115)*(r - 1)**2/21
Let -4*h**2 - 1732*h + 1736 = 0. What is h?
-434, 1
Factor -c**2 - 32*c - 31.
-(c + 1)*(c + 31)
Let 8*k**4/5 - 2*k**3/5 - 8*k**2/5 + 2*k/5 = 0. Calculate k.
-1, 0, 1/4, 1
Solve j**3 + 90*j**2 = 0.
-90, 0
Find p such that -5*p**3 + 6605*p**2 - 2177995*p - 2184605 = 0.
-1, 661
Factor -q**2/7 + 6*q/7 + 1.
-(q - 7)*(q + 1)/7
Let 3*h**3/8 - 63*h**2/8 + 285*h/8 - 225/8 = 0. What is h?
1, 5, 15
Factor -4*k**3/5 + 48*k**2/5 + 108*k/5 + 56/5.
-4*(k - 14)*(k + 1)**2/5
Factor 3*x**3 - 180*x**2 - 372*x.
3*x*(x - 62)*(x + 2)
Factor 21*q**5/5 + 477*q**4/5 + 4272*q**3/5 + 18912*q**2/5 + 41472*q/5 + 36096/5.
3*(q + 4)**4*(7*q + 47)/5
Determine t so that t**3/8 - 5*t**2/8 - 17*t/4 + 10 = 0.
-5, 2, 8
What is z in -2*z**2/5 - 4*z - 18/5 = 0?
-9, -1
Factor c**2 - 901*c - 902.
(c - 902)*(c + 1)
Factor -5*w**3 - 20040*w**2 - 26773440*w - 11923105280.
-5*(w + 1336)**3
Factor -2*d**3/19 - 546*d**2/19.
-2*d**2*(d + 273)/19
Let 5*q**5 + 50*q**4 - 255*q**3 - 1880*q**2 - 3260*q - 1680 = 0. What is q?
-12, -2, -1, 7
Factor -4*t**4 - 12*t**3 + 8*t**2 + 48*t + 32.
-4*(t - 2)*(t + 1)*(t + 2)**2
Solve 6*z**5 + 116*z**4 - 796*z**3 + 1336*z**2 - 362*z - 300 = 0 for z.
-25, -1/3, 1, 2, 3
Let -5*o**3/3 + 35*o + 100/3 = 0. Calculate o.
-4, -1, 5
Factor a**4/3 - 18*a**3 - 169*a**2/3 - 38*a.
a*(a - 57)*(a + 1)*(a + 2)/3
Factor -4*a**3 + 56*a**2 - 172*a + 120.
-4*(a - 10)*(a - 3)*(a - 1)
Determine c, given that 2*c**3 + 219*c**2 + 108*c - 109 = 0.
-109, -1, 1/2
Suppose 4*r**2 + 232*r + 448 = 0. What is r?
-56, -2
Determine w so that -2*w**5/5 - 8*w**4/5 + 24*w**3/5 + 64*w**2/5 - 128*w/5 = 0.
-4, 0, 2
Factor 12*b**3/5 + 68*b**2 - 1424*b/5 - 512/5.
4*(b - 4)*(b + 32)*(3*b + 1)/5
Factor -2*s**2 - 20*s.
-2*s*(s + 10)
Find t such that 4*t**5 - 20*t**4 + 8*t**3 + 32*t**2 = 0.
-1, 0, 2, 4
Factor m**4/3 + 7*m**3 - 8*m**2 - 44*m/3.
m*(m - 2)*(m + 1)*(m + 22)/3
Suppose -5*o**2/6 - 2320*o/3 - 538240/3 = 0. What is o?
-464
Factor 3*r**3/5 - 48*r**2/5 + 117*r/5.
3*r*(r - 13)*(r - 3)/5
Determine g, given that 3*g**4 + 39*g**3 + 54*g**2 - 480*g + 384 = 0.
-8, 1, 2
Factor 21*d**3/4 - 27*d**2 - 111*d/4 + 9/2.
3*(d - 6)*(d + 1)*(7*d - 1)/4
Factor -2*f**2/7 + 2*f/7 + 24/7.
-2*(f - 4)*(f + 3)/7
Factor -17*h**4 + 236*h**3 + 572*h**2 + 64*h.
-h*(h - 16)*(h + 2)*(17*h + 2)
Let 3*z**5/2 + 69*z**4/2 + 174*z**3 - 354*z**2 - 720*z + 864 = 0. Calculate z.
-12, -2, 1, 2
Factor 2*x**3/3 + 10*x**2 + 24*x.
2*x*(x + 3)*(x + 12)/3
Find u, given that -4*u**2 + 184*u = 0.
0, 46
Solve 2337122*j**4 - 8648*j**3 + 8*j**2 = 0.
0, 2/1081
Factor -3*h**4 - 27*h**3 - 24*h**2 + 180*h.
-3*h*(h - 2)*(h + 5)*(h + 6)
Determine u so that -u**2/5 - 1184*u/5 - 1183/5 = 0.
-1183, -1
Suppose -8*b**4/3 + 10*b**3 - 32*b**2/3 + 2*b + 4/3 = 0. Calculate b.
-1/4, 1, 2
Let 28*q**2 + 1936*q + 276 = 0. What is q?
-69, -1/7
Determine j so that -4*j**5/7 - 64*j**4/7 - 208*j**3/7 + 184*j**2/7 + 76*j - 440/7 = 0.
-11, -5, -2, 1
Factor 2*j**3 - 174*j**2 + 982*j - 810.
2*(j - 81)*(j - 5)*(j - 1)
Factor 3*m**5 + 18*m**4 - 108*m**3 - 648*m**2.
3*m**2*(m - 6)*(m + 6)**2
Let -16*f**3/17 + 158*f**2/17 - 380*f/17 - 50/17 = 0. What is f?
-1/8, 5
Suppose 2*i**3 + 9358*i**2 + 10951198*i + 10941842 = 0. What is i?
-2339, -1
What is h in 3*h**2 + 36*h + 60 = 0?
-10, -2
What is h in 2*h**2/5 + 4*h/5 - 6 = 0?
-5, 3
Factor -5*x**2 + 5310*x - 1409805.
-5*(x - 531)**2
Let -l**2/8 - 5*l/4 - 2 = 0. Calculate l.
-8, -2
Find i, given that 15*i**2/4 + 17*i/4 + 1/2 = 0.
-1, -2/15
Find s such that -s**3/4 + 17*s**2/4 - 24