*n**2/3 + 16240*n/3 - 6400/3 = 0. What is n?
-16, -5, 2/3
Factor -5*f**3 - 2100*f**2 - 220500*f.
-5*f*(f + 210)**2
Factor -2*u**5/11 + 10*u**4/11 - 14*u**3/11 + 6*u**2/11.
-2*u**2*(u - 3)*(u - 1)**2/11
Factor -5*y**2 + 35*y + 40.
-5*(y - 8)*(y + 1)
Suppose -2*s**3 + 20*s**2 + 2*s - 20 = 0. Calculate s.
-1, 1, 10
Solve -225*u**3 + 6*u**2 = 0 for u.
0, 2/75
Let 3*f**2/5 - 11616*f/5 + 11244288/5 = 0. What is f?
1936
Find i, given that i**3/6 - 25*i**2/2 + 36*i = 0.
0, 3, 72
Factor r**3/3 + 5*r**2/3 - 8*r/3 - 16.
(r - 3)*(r + 4)**2/3
Factor q**3/2 + 939*q**2/2 - 1881*q/2 + 941/2.
(q - 1)**2*(q + 941)/2
Find t such that 50*t**4 + 205*t**3 + 10*t**2 - 40*t = 0.
-4, -1/2, 0, 2/5
Determine d, given that 12*d**2 - 495*d + 123 = 0.
1/4, 41
Factor -5*r**3 - 35*r**2 + 85*r - 45.
-5*(r - 1)**2*(r + 9)
Let -i**2/2 - 4597*i/6 + 511 = 0. What is i?
-1533, 2/3
Factor 2*m**2/3 + 320*m/3 + 12800/3.
2*(m + 80)**2/3
Factor -t**2/3 - 64*t/3 - 1024/3.
-(t + 32)**2/3
Factor -o**5/2 + 4960*o**4 - 19681280*o**3 + 39047659520*o**2 - 38735278243840*o + 15370158407155712.
-(o - 1984)**5/2
Find z, given that -4*z**4 - 68*z**3 - 160*z**2 + 1200*z = 0.
-10, 0, 3
Factor h**4 + 2*h**3 - 3*h**2.
h**2*(h - 1)*(h + 3)
Factor o**3/4 + 1047*o**2/4 + 365403*o/4 + 42508549/4.
(o + 349)**3/4
Factor 500*t**3 - 7200*t**2 + 34560*t - 55296.
4*(5*t - 24)**3
Factor 2*y**2 - 9*y/5 - 1/5.
(y - 1)*(10*y + 1)/5
Factor -z**2/2 + 149*z/2.
-z*(z - 149)/2
Factor w**2 + 31*w - 32.
(w - 1)*(w + 32)
Solve -780*k**2 + 775*k + 5 = 0 for k.
-1/156, 1
Suppose g**4/6 - 43*g**2/6 + 7*g = 0. Calculate g.
-7, 0, 1, 6
Suppose -20*d**3 - 3792*d**2 - 178980*d + 72200 = 0. What is d?
-95, 2/5
Let 4*l**2 + 5796*l = 0. Calculate l.
-1449, 0
Find a, given that -2*a**2 - 134*a = 0.
-67, 0
Find b, given that 4*b**2 + 692*b = 0.
-173, 0
What is k in -5*k**5/3 - 77*k**4/3 - 90*k**3 - 316*k**2/3 - 88*k/3 = 0?
-11, -2, -2/5, 0
Suppose 5*u**5 - 30*u**4 + 60*u**3 - 40*u**2 = 0. Calculate u.
0, 2
Solve 8*a**5 - 10*a**4/3 - 76*a**3/3 + 26*a**2 - 8*a/3 - 8/3 = 0.
-2, -1/4, 2/3, 1
Find u such that 3*u**2 + 21*u - 54 = 0.
-9, 2
Factor 2*a**3/5 + 16*a**2/5 - 18*a/5 - 144/5.
2*(a - 3)*(a + 3)*(a + 8)/5
Suppose -36*i**5 + 312*i**4 - 400*i**3 - 992*i**2 - 384*i = 0. What is i?
-2/3, 0, 4, 6
Factor -4*t**2 + 1228*t - 6040.
-4*(t - 302)*(t - 5)
Factor 5*g**3 + 615*g**2 + 19800*g + 54000.
5*(g + 3)*(g + 60)**2
Factor y**2/2 + 693*y + 480249/2.
(y + 693)**2/2
Determine b, given that -54*b**4/5 + 219*b**3/5 - 282*b**2/5 + 123*b/5 - 6/5 = 0.
1/18, 1, 2
Suppose 2*u**2 - 22*u - 160 = 0. What is u?
-5, 16
Factor l**5 + 6*l**4 - 3*l**3 - 16*l**2 + 12*l.
l*(l - 1)**2*(l + 2)*(l + 6)
Factor -4*n**3 + 96*n**2 + 4*n - 96.
-4*(n - 24)*(n - 1)*(n + 1)
Let 2*m**2 + 11854*m = 0. What is m?
-5927, 0
Determine h, given that -2*h**5 - 29*h**4/2 - 79*h**3/2 - 49*h**2 - 26*h - 4 = 0.
-2, -1, -1/4
Determine z, given that -2*z**3 - 34*z**2 - 54*z + 90 = 0.
-15, -3, 1
Factor -m**2/9 - 43*m/3 - 254/9.
-(m + 2)*(m + 127)/9
Determine x so that 5*x**2 - 37530*x + 70425045 = 0.
3753
Factor -62*o**2/9 + 10*o/3 + 32/9.
-2*(o - 1)*(31*o + 16)/9
Suppose 2*q**5/9 - 2*q**4/9 - 34*q**3/9 - 10*q**2/3 = 0. Calculate q.
-3, -1, 0, 5
Factor j**5 - 8*j**4 - 50*j**3 + 12*j**2 + 153*j - 108.
(j - 12)*(j - 1)**2*(j + 3)**2
Factor -4*a**3/7 + 440*a**2/7 - 796*a + 2688.
-4*(a - 96)*(a - 7)**2/7
Determine j so that -5*j**4/4 - 25*j**3/2 - 30*j**2 - 55*j/2 - 35/4 = 0.
-7, -1
Factor -196*p**2 - 21448*p - 586756.
-4*(7*p + 383)**2
Find x such that -144*x**5 - 216*x**4 + 564*x**3 - 718*x**2/3 + 112*x/3 - 2 = 0.
-3, 1/6, 1
Factor 4*j**5/5 + 36*j**4/5 + 24*j**3 + 184*j**2/5 + 132*j/5 + 36/5.
4*(j + 1)**3*(j + 3)**2/5
Let 8*p**5 + 118*p**4 + 226*p**3 - 448*p**2 + 96*p = 0. What is p?
-12, -4, 0, 1/4, 1
Let -u**2 + 163*u + 164 = 0. Calculate u.
-1, 164
Factor 5*h**3 - 25*h**2.
5*h**2*(h - 5)
Factor 4*u**3 + 24*u**2 - 148*u + 120.
4*(u - 3)*(u - 1)*(u + 10)
Find v, given that 8*v**3 + 92*v**2 + 240*v - 144 = 0.
-6, 1/2
Solve 4*x**2/5 - 52*x/5 + 88/5 = 0.
2, 11
Let 2*i**2/3 - 16*i/3 - 40/3 = 0. Calculate i.
-2, 10
Suppose -5*f**5 + 120*f**4 + 395*f**3 + 270*f**2 = 0. Calculate f.
-2, -1, 0, 27
Let 3*q**4/2 - 5*q**3 - 9*q**2/2 + 2*q = 0. Calculate q.
-1, 0, 1/3, 4
What is j in -2*j**5/7 - 174*j**4/7 - 3870*j**3/7 - 3698*j**2/7 = 0?
-43, -1, 0
Factor -z**5/4 - 10*z**4 - 118*z**3 - 360*z**2 - 324*z.
-z*(z + 2)**2*(z + 18)**2/4
Factor -3*q**3 + 495*q**2 - 27225*q + 499125.
-3*(q - 55)**3
Find c, given that -2*c**4 - 152*c**3 + 154*c**2 = 0.
-77, 0, 1
Find k, given that 3*k**2 + 21024*k + 36834048 = 0.
-3504
Let t**4 - 16*t**3 + 13*t**2 + 30*t = 0. What is t?
-1, 0, 2, 15
Find u, given that u**3 + 11*u**2 + 31*u + 21 = 0.
-7, -3, -1
What is p in -3*p**5 + 45*p**4 - 123*p**3 - 141*p**2 + 486*p - 264 = 0?
-2, 1, 4, 11
Find f, given that 2*f**4 + 54*f**3 + 470*f**2 + 1386*f + 968 = 0.
-11, -4, -1
Factor -198*v**4/5 - 1184*v**3/5 - 2352*v**2/5 - 1536*v/5 + 32/5.
-2*(v + 2)**3*(99*v - 2)/5
Factor 4*l**3 - 168*l**2 + 1920*l - 3200.
4*(l - 20)**2*(l - 2)
Solve 4*s**2/9 + 104*s/9 - 116/3 = 0.
-29, 3
Factor 4*q**3 - 40*q**2 + 128*q - 128.
4*(q - 4)**2*(q - 2)
Suppose 3*i**5/5 - 69*i**4/5 - 15*i**3 + 69*i**2/5 + 72*i/5 = 0. Calculate i.
-1, 0, 1, 24
Factor -g**2/4 + 5*g/4 - 3/2.
-(g - 3)*(g - 2)/4
Factor t**2/3 + 112*t/3 + 3136/3.
(t + 56)**2/3
Suppose y**4/5 + y**3/5 - 14*y**2 - 352*y/5 - 96 = 0. Calculate y.
-4, -3, 10
Factor z**2/7 - 19*z/7 - 20/7.
(z - 20)*(z + 1)/7
Solve -4*a**4 + 4*a**3 + 40*a**2 - 16*a - 96 = 0 for a.
-2, 2, 3
Determine x, given that -x**2/6 - 4*x - 24 = 0.
-12
Find k such that 5*k**2 - 2705*k + 2700 = 0.
1, 540
Let -5*o**2 + 820*o - 815 = 0. Calculate o.
1, 163
Suppose -5*q**5 - 7775*q**4 - 4531850*q**3 - 1172737750*q**2 - 113312947825*q + 114490225205 = 0. What is q?
-389, 1
Suppose -4*f**5 - 40*f**4 - 96*f**3 - 88*f**2 - 28*f = 0. What is f?
-7, -1, 0
Determine l so that -4*l**5 - 40*l**4 - 68*l**3 - 32*l**2 = 0.
-8, -1, 0
What is v in -3*v**5 + 12*v**4 - 15*v**3 + 6*v**2 = 0?
0, 1, 2
Let b**5/3 + 134*b**4/3 + 217*b**3 + 770*b**2/3 - 524*b/3 - 344 = 0. Calculate b.
-129, -2, 1
Suppose -3*d**2/2 + 33*d/2 - 45 = 0. Calculate d.
5, 6
Solve -4*k**4/5 - 8*k**3/5 + 4*k**2/5 + 8*k/5 = 0 for k.
-2, -1, 0, 1
Factor 21*y**4 - 132*y**3 + 141*y**2 - 30*y.
3*y*(y - 5)*(y - 1)*(7*y - 2)
Determine x so that 11*x**4/2 + 56*x**3 + 10*x**2 = 0.
-10, -2/11, 0
Factor -3*h**4 + 3*h**3 + 3*h**2 - 3*h.
-3*h*(h - 1)**2*(h + 1)
Find x such that -x**4/5 - 31*x**3/5 - 318*x**2/5 - 1152*x/5 - 864/5 = 0.
-12, -6, -1
Find c, given that 3*c**4 - 64*c**3 + 135*c**2 - 38*c = 0.
0, 1/3, 2, 19
Find z such that 3*z**2 + 1703*z + 1134 = 0.
-567, -2/3
Factor 2*v**2/13 - 4*v/13 - 48/13.
2*(v - 6)*(v + 4)/13
Factor -3*i**2 + 2484*i - 4956.
-3*(i - 826)*(i - 2)
Factor 28*a**2/5 + 580*a - 1248/5.
4*(a + 104)*(7*a - 3)/5
Factor 2*s**2/3 - 14*s/3 + 4.
2*(s - 6)*(s - 1)/3
Factor -2*v**2/21 + 128*v/21.
-2*v*(v - 64)/21
Factor 4*i**5 - 17660*i**4 + 31187560*i**3 - 27538615480*i**2 + 12158298734420*i - 2147155556498572.
4*(i - 883)**5
Let -9*y**5/4 - 375*y**4/2 - 61*y**3 + 207*y**2/2 - 83*y/4 = 0. Calculate y.
-83, -1, 0, 1/3
Find l, given that -3*l**3/4 + 21*l**2/4 - 15*l/2 = 0.
0, 2, 5
Suppose -5*o**3 - 65*o**2 - 200*o - 180 = 0. Calculate o.
-9, -2
Factor 2*s**3/13 - 128*s**2/13 + 200*s - 1248.
2*(s - 26)**2*(s - 12)/13
Suppose -5*a**3 - 105*a**2 - 400*a = 0. What is a?
-16, -5, 0
Factor -8*o**2 - 15*o + 2.
-(o + 2)*(8*o - 1)
Determine h, given that -180*h**5 - 172*h**4 + 188*h**3 + 172*h**2 - 8*h = 0.
-1, 0, 2/45, 1
Factor 4*x**4 - 76*x**3 + 68*x**2 + 76*x - 72.
4*(x - 18)*(x - 1)**2*(x + 1)
Find j such that 4*j**4 + 228*j**3 + 220*j**2 - 228*j - 224 = 0.
-56, -1, 1
Factor 2*o**3 + 54*o**2 + 48*o - 104.
2*(o - 1)*(o + 2)*(o + 26)
Solve 5*y**5/4 - 333*y**4/4 + 1141*y**3/4 - 435*y**2/4 - 189*y/2 = 0.
-2/5, 0, 1, 3, 63
Solve -5*g**2 + 745*g - 11790 = 0 for g.
18, 131
Find y such that 2*y**4/21 + 22*y**3/21 + 20*y**2/21 = 0.
-10, -1, 0
What is w in -2*w**2 - 54*w - 52 = 0?
-26, -1
Factor 722*s**2 - 2736*s + 2592.
2*(19*s - 36)**2
Factor -4*m**3 - 56*m**2 - 196*m.
-4*m*(m + 7)**2
Suppose 35*d**4 + 101*d**3 - 1416*d**2 + 148*d + 160 = 0. Calculate d.
-8, -2/7, 2/5, 5
Factor 3*i**4 + 6*i**3 - 9*i**2 - 24*i - 12.
3*(i - 2)*