
Solve -2*y**3 + 146*y**2 - 924*y = 0.
0, 7, 66
Determine z, given that -z**2/4 + 7*z + 93/4 = 0.
-3, 31
Factor -3*h**3 - 36*h**2 - 60*h.
-3*h*(h + 2)*(h + 10)
Factor 4*t**4 + 420*t**3 + 11233*t**2 + 10920*t + 2704.
(t + 52)**2*(2*t + 1)**2
Factor 3*c**4 - 1830*c**3 + 1827*c**2.
3*c**2*(c - 609)*(c - 1)
Find b such that 7*b**4/2 - b**3 - 21*b**2/2 + 10*b - 2 = 0.
-2, 2/7, 1
Solve g**2/4 - 377*g/4 - 379/2 = 0 for g.
-2, 379
Factor 4*f**2/5 + 336*f/5 + 332/5.
4*(f + 1)*(f + 83)/5
Solve 2*r**4/9 + 4*r**3/9 - 122*r**2/9 + 356*r/9 - 80/3 = 0.
-10, 1, 3, 4
Suppose 6*f**5/5 - 369*f**4/5 + 2493*f**3/5 - 3282*f**2/5 - 6624*f/5 + 7776/5 = 0. Calculate f.
-3/2, 1, 4, 54
Let -2*w**4/11 + 4*w**3/11 + 24*w**2/11 + 28*w/11 + 10/11 = 0. Calculate w.
-1, 5
Factor -4*g**2 + 152*g - 660.
-4*(g - 33)*(g - 5)
Suppose 2*f**3 + 28*f**2 + 64*f - 256 = 0. What is f?
-8, 2
Suppose 3*a**5/4 + 351*a**4/4 + 10437*a**3/4 + 9741*a**2/4 - 2610*a - 2523 = 0. Calculate a.
-58, -1, 1
Let 26*g**2 + 12*g = 0. What is g?
-6/13, 0
Factor -v**5 + 6*v**4 - 9*v**3.
-v**3*(v - 3)**2
Solve -y**2/2 + 11*y/2 - 12 = 0 for y.
3, 8
Find b such that b**5/5 - b**4/5 - 6*b**3/5 - 2*b**2/5 + b + 3/5 = 0.
-1, 1, 3
Factor -5*s**5 - 10*s**4 + 10*s**3 + 40*s**2 + 35*s + 10.
-5*(s - 2)*(s + 1)**4
Let -b**2/3 - 14*b/3 = 0. Calculate b.
-14, 0
Factor 3*u**2 - 1596*u + 212268.
3*(u - 266)**2
Factor -m**4/3 - 34*m**3/3 - 79*m**2 + 396*m + 1620.
-(m - 5)*(m + 3)*(m + 18)**2/3
Factor -3*u**4 - 12*u**3 + 3*u**2 + 12*u.
-3*u*(u - 1)*(u + 1)*(u + 4)
Factor 5*i**4 + 5*i**3 - 10*i**2.
5*i**2*(i - 1)*(i + 2)
Factor -m**5 - 8*m**4 - 21*m**3 - 18*m**2.
-m**2*(m + 2)*(m + 3)**2
Determine n, given that -5*n**3/4 + 5*n**2 + 885*n/4 - 225 = 0.
-12, 1, 15
Factor 2*o**2 - 76*o + 722.
2*(o - 19)**2
Factor 2*i**2 - 76*i + 722.
2*(i - 19)**2
Factor 2*g**4 + 90*g**3 - 92*g**2.
2*g**2*(g - 1)*(g + 46)
Find c, given that 5*c**3 + 20*c**2 + 5*c - 30 = 0.
-3, -2, 1
Factor 2*v**2/7 + 2216*v/7 + 613832/7.
2*(v + 554)**2/7
Suppose -5*s**4 - 90*s**3 + 315*s**2 - 20*s - 420 = 0. Calculate s.
-21, -1, 2
Factor -20*c**2 + 245*c - 60.
-5*(c - 12)*(4*c - 1)
Find n such that -9*n**4/5 + 51*n**3/5 - 63*n**2/5 + 9*n/5 + 12/5 = 0.
-1/3, 1, 4
Factor 4*h**5 + 256*h**4 - 524*h**3 + 264*h**2.
4*h**2*(h - 1)**2*(h + 66)
Factor -w**2/3 + 34*w/3 - 289/3.
-(w - 17)**2/3
Let -l**3/6 - 145*l**2/6 + 299*l/2 - 453/2 = 0. What is l?
-151, 3
What is o in -2*o**3 + 32*o**2 - 98*o - 132 = 0?
-1, 6, 11
Factor -4*r**4 + 4348*r**3 - 1183740*r**2 + 1179396*r.
-4*r*(r - 543)**2*(r - 1)
Determine l so that -6*l**5 + 63*l**4/2 - 123*l**3/2 + 111*l**2/2 - 45*l/2 + 3 = 0.
1/4, 1, 2
Suppose -3*a**2/5 + 27*a/5 - 24/5 = 0. What is a?
1, 8
Solve -3*n**2 - 108*n + 5103 = 0 for n.
-63, 27
Find q, given that 20*q**5 - 1292*q**4 + 708*q**3 + 3836*q**2 + 280*q - 1536 = 0.
-1, 3/5, 2, 64
Solve 4*p**2/3 + 136*p/3 + 256/3 = 0.
-32, -2
Determine s so that -s**2 - 93*s - 92 = 0.
-92, -1
Factor -o**3 + 13*o + 12.
-(o - 4)*(o + 1)*(o + 3)
Let 3*c**2/4 - 2067*c/4 - 1035/2 = 0. Calculate c.
-1, 690
Factor 15*u**2 + 84*u - 36.
3*(u + 6)*(5*u - 2)
Suppose h**4 + 7*h**3 + 17*h**2 + 17*h + 6 = 0. What is h?
-3, -2, -1
Factor -2*o**4/9 + 380*o**3/3 - 1136*o**2/3 + 3404*o/9 - 126.
-2*(o - 567)*(o - 1)**3/9
Factor 4*b**3 - 12*b**2 - 1080*b.
4*b*(b - 18)*(b + 15)
Solve -14*x**5/5 - 186*x**4/5 - 44*x**3 + 3536*x**2/5 + 4608*x/5 + 1024/5 = 0 for x.
-8, -1, -2/7, 4
Determine q so that 3*q**2/7 + 9*q/7 - 54/7 = 0.
-6, 3
Find o such that o**3/3 - o**2/3 - 35*o + 99 = 0.
-11, 3, 9
Find u such that 3*u**2 - 1185*u = 0.
0, 395
Factor v**5 - 27*v**3 + 50*v**2 - 24*v.
v*(v - 4)*(v - 1)**2*(v + 6)
Suppose o**3/4 - 31*o**2/4 + 29*o/2 = 0. What is o?
0, 2, 29
Find f, given that f**3/4 + 9*f**2/4 = 0.
-9, 0
Factor 1135*j**2 + 2280*j + 20.
5*(j + 2)*(227*j + 2)
Factor -50*u**2/3 - 160*u - 384.
-2*(5*u + 24)**2/3
Solve -2*p**3/7 + 12*p**2/7 = 0 for p.
0, 6
Let 4*w**2/9 - 100*w/9 + 184/9 = 0. What is w?
2, 23
Suppose -g**2/3 - 15*g = 0. Calculate g.
-45, 0
Factor 2*x**5/13 + 4*x**4 - 54*x**3/13.
2*x**3*(x - 1)*(x + 27)/13
Let 40*x**2 - 836*x - 84 = 0. Calculate x.
-1/10, 21
Factor -2*b**2/3 - 604*b/3 - 1184.
-2*(b + 6)*(b + 296)/3
Factor -2*f**2/5 - 702*f/5 + 1412/5.
-2*(f - 2)*(f + 353)/5
Solve -a**3 - 41*a**2/4 - 5*a/2 = 0.
-10, -1/4, 0
Factor -3*b**4 + 1023*b**3 - 6066*b**2 + 12084*b - 8040.
-3*(b - 335)*(b - 2)**3
Determine u so that -43*u**3/5 + 127*u**2/5 - 16*u - 4/5 = 0.
-2/43, 1, 2
Let -f**3 - 82*f**2 + 83*f = 0. Calculate f.
-83, 0, 1
Suppose 45*j**3 + 2170*j**2 + 26400*j + 5760 = 0. What is j?
-24, -2/9
Let -y**5 - 15*y**4 + 120*y**3 + 1240*y**2 - 8400*y + 7056 = 0. Calculate y.
-14, 1, 6
Factor k**2/7 - 62*k/7 + 961/7.
(k - 31)**2/7
Find w such that 2*w**2/5 + 82*w/5 - 72 = 0.
-45, 4
Factor -2*c**5 + 3320*c**4 - 2204480*c**3 + 731887360*c**2 - 121493301760*c + 8067155236864.
-2*(c - 332)**5
Solve 5*o**5 - 80*o**4 - 90*o**3 + 80*o**2 + 85*o = 0 for o.
-1, 0, 1, 17
Let -g**2 + 162*g - 6561 = 0. What is g?
81
Factor t**2/4 + 99*t + 9801.
(t + 198)**2/4
Find d such that 10*d**5 + 29*d**4 - 15*d**3 - 35*d**2 + 5*d + 6 = 0.
-3, -1, -2/5, 1/2, 1
Determine h, given that -5*h**5 - 95*h**4 - 245*h**3 - 65*h**2 + 250*h + 160 = 0.
-16, -2, -1, 1
Find j such that 2*j**4 - 928*j**3 + 916*j**2 + 4624*j + 2778 = 0.
-1, 3, 463
Solve 30*k**5 + 92*k**4 + 2*k**3 - 132*k**2 - 8*k + 16 = 0.
-2, -2/5, 1/3, 1
Find x, given that -x**3/3 + 113*x**2/3 + 352*x/3 - 464/3 = 0.
-4, 1, 116
Suppose 3*x**4/5 + 9*x**3/5 - 18*x**2 - 384*x/5 - 288/5 = 0. Calculate x.
-4, -1, 6
Factor 3*j**3 - 168*j**2 + 327*j - 162.
3*(j - 54)*(j - 1)**2
Factor 2*r**4/7 - 20*r**3/7 - 72*r**2/7 + 1296*r/7 - 3456/7.
2*(r - 6)**3*(r + 8)/7
Let 5*h**4/4 - 31*h**3/4 + h**2/4 + 31*h/4 - 3/2 = 0. What is h?
-1, 1/5, 1, 6
Solve -3*m**3/4 + 6*m**2 - 9*m = 0 for m.
0, 2, 6
Find j, given that -3*j**2 + 2112*j - 371712 = 0.
352
Find b, given that -4*b**2/3 + 380*b/3 + 2000/3 = 0.
-5, 100
Solve -18*q**4 + 2012*q**3 - 57962*q**2 + 95920*q + 24200 = 0.
-2/9, 2, 55
Factor -2*r**2 + 14*r + 16.
-2*(r - 8)*(r + 1)
Factor 3*n**2 - 1869*n + 3726.
3*(n - 621)*(n - 2)
Factor -4*a**4 - 164*a**3 + 176*a**2 + 336*a.
-4*a*(a - 2)*(a + 1)*(a + 42)
Factor 44*i**4 - 16*i**3 - 116*i**2 - 56*i.
4*i*(i - 2)*(i + 1)*(11*i + 7)
Factor -10*b**2 + 412*b + 336.
-2*(b - 42)*(5*b + 4)
Factor -x**3/2 + 3*x**2/10 + 16*x/5 + 6/5.
-(x - 3)*(x + 2)*(5*x + 2)/10
Factor i**5/2 + 189*i**4/4.
i**4*(2*i + 189)/4
Factor -o**3/4 - 23*o**2/2 + 535*o/4 - 350.
-(o - 5)**2*(o + 56)/4
Let -2*g**4/7 + 52*g**3/7 + 24*g**2 + 172*g/7 + 58/7 = 0. What is g?
-1, 29
Factor -5*z**3 + 30*z**2 + 35*z - 300.
-5*(z - 5)*(z - 4)*(z + 3)
Suppose 58*p**3/17 + 104*p**2/17 - 198*p/17 + 36/17 = 0. Calculate p.
-3, 6/29, 1
Find d, given that d**5/5 + 37*d**4/5 - 122*d**3/5 - 68*d**2/5 + 472*d/5 - 64 = 0.
-40, -2, 1, 2
Factor -4*o**5/3 - 92*o**4/3 - 172*o**3/3 - 28*o**2.
-4*o**2*(o + 1)**2*(o + 21)/3
Factor -30*g**2 + 5*g + 35.
-5*(g + 1)*(6*g - 7)
Let -3*h**4/4 + 7287*h**3/4 - 2948805*h**2/2 + 397104525*h + 398580750 = 0. Calculate h.
-1, 810
Let -w**4 - 2*w**3 + 5*w**2 + 6*w = 0. What is w?
-3, -1, 0, 2
Determine h, given that 2*h**4 - 8*h**3 - 6*h**2 + 20*h + 16 = 0.
-1, 2, 4
Determine b, given that -2*b**5/19 + 16*b**4/19 - 22*b**3/19 - 16*b**2/19 + 24*b/19 = 0.
-1, 0, 1, 2, 6
Solve -3*r**5 + 15*r**4 + 36*r**3 - 108*r**2 = 0.
-3, 0, 2, 6
Determine b so that 5*b**2 + 210*b + 400 = 0.
-40, -2
What is x in -x**3/3 + 4*x**2/3 + 5*x/3 = 0?
-1, 0, 5
Factor -3*q**2/2 + 777*q/2.
-3*q*(q - 259)/2
Let -4*d**3/3 + 52*d**2/3 - 188*d/3 + 140/3 = 0. What is d?
1, 5, 7
Let -m**2 + 327*m/5 - 26 = 0. What is m?
2/5, 65
Factor 2*u**5 - 68*u**4 + 426*u**3 + 2584*u**2 + 2888*u.
2*u*(u - 19)**2*(u + 2)**2
Suppose -j**2/5 - 6*j/5 + 16/5 = 0. What is j?
-8, 2
Suppose -2*t**4/3 - 10*t**3/3 - 16*t**2/3 - 8*t/3 = 0. What is t?
-2, -1, 0
Suppose -5*o**3 + 15*o**2 - 20 = 0. Calculate o.
-1, 2
Solve -3*x**3 - 15*x**2 + 108*x = 0 for x.
-9, 0, 4
Factor 5*n**4 + 805*n**3 + 31110*n**2 - 109060*n - 336200.
5*(n - 5)*(n + 2)*(n + 82)**2
Let v**3/3 + 57*v**2 + 333*v + 495 = 0. What is v?
-165, -3
Suppose 3*v**2 - 2550*v + 541875 = 0. What is v?
425
Find b such that -4*b**3/7 + 2988*b**2/7 - 744012*b/7 + 61752996/7 = 0.
249
Suppose 2*p**5 + 600*p**4 