 1)**2/4
Factor f**3/3 + 56*f**2 + 432*f + 2560/3.
(f + 4)**2*(f + 160)/3
Find r such that 3*r**2 + 192*r + 189 = 0.
-63, -1
Solve 2*o**3/5 - 4*o**2/5 - 64*o/5 + 192/5 = 0 for o.
-6, 4
Find s such that s**2/2 + 873*s/2 - 437 = 0.
-874, 1
Factor a**2 - 355*a.
a*(a - 355)
Factor -g**3/9 - 14*g**2 - 1280*g/3 + 8192/9.
-(g - 2)*(g + 64)**2/9
Factor -5*o**4 + 75*o**3 + 255*o**2 + 265*o + 90.
-5*(o - 18)*(o + 1)**3
What is h in -5*h**3 + 380*h**2 - 9545*h + 79350 = 0?
23, 30
Factor 3*p**3/4 + 15*p**2/4 - 39*p/4 + 21/4.
3*(p - 1)**2*(p + 7)/4
Suppose -12*c**3/7 - 237*c**2/7 + 312*c/7 - 9 = 0. What is c?
-21, 1/4, 1
Factor 5*i**3 - 450*i**2 + 8640*i + 69120.
5*(i - 48)**2*(i + 6)
Factor 3*o**2 + 657*o + 3210.
3*(o + 5)*(o + 214)
Determine t, given that 2*t**4/11 - 212*t**3/11 + 7752*t**2/11 - 106352*t/11 + 314432/11 = 0.
4, 34
Factor 3*t**2 - 3402*t + 6792.
3*(t - 1132)*(t - 2)
Determine u, given that 6*u**3 + 33*u**2 + 42*u = 0.
-7/2, -2, 0
Find f, given that f**4/7 - 34*f**3/7 + 96*f**2/7 - 94*f/7 + 31/7 = 0.
1, 31
Solve -18*i**5 + 132*i**4 - 242*i**3 + 168*i**2 - 40*i = 0.
0, 2/3, 1, 5
Solve 3*u**4 + 4993*u**3/3 - 370*u**2 = 0.
-555, 0, 2/9
Solve 15*n**4/8 - 63*n**3/4 + 36*n**2 - 12*n = 0.
0, 2/5, 4
What is i in -12*i**5 - 459*i**4 - 3246*i**3 - 783*i**2 = 0?
-29, -9, -1/4, 0
Factor 2*a**4/9 - 148*a**3/9 - 152*a**2/3 - 460*a/9 - 154/9.
2*(a - 77)*(a + 1)**3/9
Let -8*b**3/5 - 26*b**2/5 - 22*b/5 - 4/5 = 0. What is b?
-2, -1, -1/4
Solve 6*h**4/7 + 108*h**3/7 - 522*h**2/7 + 24*h + 792/7 = 0 for h.
-22, -1, 2, 3
Factor -3*v**2 - 180*v + 372.
-3*(v - 2)*(v + 62)
Suppose -720*q**5 + 5160*q**4 + 11395*q**3 + 4475*q**2 - 995*q + 45 = 0. What is q?
-1, 1/12, 9
Solve -3*c**2 - 510*c + 513 = 0 for c.
-171, 1
Suppose -5*u**3 + 25*u**2 + 30*u = 0. What is u?
-1, 0, 6
Factor f**2/7 - 7*f - 50/7.
(f - 50)*(f + 1)/7
Factor 162*f**2 - 4392*f + 29768.
2*(9*f - 122)**2
Factor -16*l**2/3 + 340*l - 254/3.
-2*(2*l - 127)*(4*l - 1)/3
Factor -5*m**3 + 690*m**2 - 24480*m + 46240.
-5*(m - 68)**2*(m - 2)
What is g in -4*g**4/5 + 1872*g**3/5 + 1876*g**2/5 = 0?
-1, 0, 469
Factor p**3 - 7*p**2 + 8*p + 16.
(p - 4)**2*(p + 1)
Factor g**2 - 1866*g - 1867.
(g - 1867)*(g + 1)
Factor -4*m**4 - 12*m**3 + 16*m**2.
-4*m**2*(m - 1)*(m + 4)
Let -12*c**5 + 39*c**4 + 3*c**3 - 39*c**2 + 9*c = 0. What is c?
-1, 0, 1/4, 1, 3
Let s**2 + 54*s - 55 = 0. What is s?
-55, 1
Let s**4/2 - 19*s**3/2 - 44*s**2 - 46*s = 0. Calculate s.
-2, 0, 23
Factor -2*x**3/7 - 806*x**2/7 - 2404*x/7 - 1600/7.
-2*(x + 1)*(x + 2)*(x + 400)/7
Factor 2*g**4/7 + 184*g**3/7 + 6348*g**2/7 + 97336*g/7 + 559682/7.
2*(g + 23)**4/7
Determine m so that 20*m**5 - 2588*m**4 + 13572*m**3 - 22436*m**2 + 14408*m - 2976 = 0.
2/5, 1, 3, 124
Suppose -18*b**4 + 140*b**3 + 32*b**2 = 0. What is b?
-2/9, 0, 8
Solve 3*q**3 - 801*q**2 + 3165*q - 2367 = 0 for q.
1, 3, 263
Suppose l**3/3 + 227*l**2/3 - 688*l/3 + 460/3 = 0. What is l?
-230, 1, 2
Solve 4*m**4 - 1168*m**3 + 86424*m**2 - 169360*m + 84100 = 0.
1, 145
Let -2*w**2 - 12*w - 10 = 0. Calculate w.
-5, -1
Factor p**4/6 - 17*p**3/3 + 62*p**2 - 700*p/3 + 784/3.
(p - 14)**2*(p - 4)*(p - 2)/6
Determine x so that -5*x**3 + 245*x**2 - 3120*x + 2880 = 0.
1, 24
Suppose 12*t**3/5 + 44*t**2/5 + 48*t/5 + 16/5 = 0. What is t?
-2, -1, -2/3
Factor 10*m**3 + 17*m**2 + 6*m.
m*(2*m + 1)*(5*m + 6)
Suppose -12*o**5/5 - 82*o**4/5 - 164*o**3/5 - 64*o**2/5 + 48*o/5 + 18/5 = 0. Calculate o.
-3, -1, -1/3, 1/2
Suppose -m**2/2 + 4*m + 9/2 = 0. Calculate m.
-1, 9
Solve r**3/2 - 19*r**2/2 + 32*r - 30 = 0 for r.
2, 15
Suppose -i**3/11 - 10*i**2/11 + 13*i/11 + 2 = 0. Calculate i.
-11, -1, 2
Solve -l**2 + 19*l - 88 = 0.
8, 11
Let a**2/11 + 2521*a/11 - 2522/11 = 0. Calculate a.
-2522, 1
Factor 3*g**2 + 222*g - 456.
3*(g - 2)*(g + 76)
Factor -2*l**5/5 - 14*l**4/5 - 38*l**3/5 - 10*l**2 - 32*l/5 - 8/5.
-2*(l + 1)**3*(l + 2)**2/5
Let 2*o**4/7 + 4*o**3/7 - 6*o**2/7 - 16*o/7 - 8/7 = 0. What is o?
-2, -1, 2
Solve -15*l**5 - 625*l**4 - 1005*l**3 - 195*l**2 + 200*l = 0 for l.
-40, -1, 0, 1/3
Factor -g**3/6 + 7*g/6 + 1.
-(g - 3)*(g + 1)*(g + 2)/6
Find z, given that 4*z**4 - 520*z**3 + 1532*z**2 - 1016*z = 0.
0, 1, 2, 127
Factor 3*n**4 + 18*n**3 - 27*n**2 - 42*n.
3*n*(n - 2)*(n + 1)*(n + 7)
Factor -5*q**5 - 30*q**4 - 65*q**3 - 60*q**2 - 20*q.
-5*q*(q + 1)**2*(q + 2)**2
Determine d, given that -3*d**5 + 12*d**4 - 9*d**3 - 12*d**2 + 12*d = 0.
-1, 0, 1, 2
Suppose 25*l**4/9 + 10420*l**3/9 + 363308*l**2/3 + 866944*l/9 + 173056/9 = 0. What is l?
-208, -2/5
Suppose -2*f**3/7 + 370*f**2/7 + 2*f/7 - 370/7 = 0. Calculate f.
-1, 1, 185
Determine z, given that -3*z**4 + 21*z**3 + 9*z**2 - 57*z - 42 = 0.
-1, 2, 7
Factor 8*l**3/3 + 22*l**2/3 - 8*l/3 - 40/3.
2*(l + 2)**2*(4*l - 5)/3
Suppose 2*u**5 + 4*u**4 - 4*u**2 - 2*u = 0. Calculate u.
-1, 0, 1
Factor -o**5/2 + 513*o**4/2 - 1023*o**3/2 + 511*o**2/2.
-o**2*(o - 511)*(o - 1)**2/2
Suppose 3*w**4/7 + 183*w**3/7 + 1017*w**2/7 + 1497*w/7 + 660/7 = 0. What is w?
-55, -4, -1
Find y such that -y**5 + 11*y**4/3 - 5*y**3/3 - y**2 = 0.
-1/3, 0, 1, 3
Suppose -2*n**4 - 144*n**3 - 142*n**2 = 0. What is n?
-71, -1, 0
Determine n, given that 2*n**4/13 - 4*n**3/13 - 646*n**2/13 = 0.
-17, 0, 19
Determine h so that -9*h**4 - 39*h**3/2 + 3*h**2 + 21*h/2 - 3 = 0.
-2, -1, 1/3, 1/2
Factor w**3 + 8*w**2 + w - 42.
(w - 2)*(w + 3)*(w + 7)
Solve 28*g**5/5 + 1014*g**4/5 + 1644*g**3 - 17594*g**2/5 + 4332*g/5 = 0 for g.
-19, 0, 2/7, 3/2
Let -2*k**3/5 - 98*k**2/5 + 204*k/5 = 0. What is k?
-51, 0, 2
Let -4*t**3 + 92*t**2 + 104*t - 192 = 0. What is t?
-2, 1, 24
Suppose 5*z**4 + 25*z**3 + 20*z**2 = 0. Calculate z.
-4, -1, 0
Determine d, given that 4*d**2/3 + 16*d + 48 = 0.
-6
Factor -3*o**2/2 + 723*o/2 - 360.
-3*(o - 240)*(o - 1)/2
Factor p**2 - 77*p - 158.
(p - 79)*(p + 2)
Factor -3*d**3/4 - 9*d**2/2 + 27*d/4 + 21/2.
-3*(d - 2)*(d + 1)*(d + 7)/4
Solve -4*o**2 + 164*o + 2040 = 0.
-10, 51
Factor -2*i**2 - 3052*i.
-2*i*(i + 1526)
Factor -5*u**2 - 8220*u + 8225.
-5*(u - 1)*(u + 1645)
Factor 2*a**2 + 1104*a + 152352.
2*(a + 276)**2
Suppose 26244*r**2 - 648*r + 4 = 0. Calculate r.
1/81
Find c such that -c**4/4 + 13*c**2/4 + 3*c = 0.
-3, -1, 0, 4
Factor -3*l**2/5 + 12*l/5 + 63/5.
-3*(l - 7)*(l + 3)/5
Factor -4*i**4 - 32*i**3 + 124*i**2 - 88*i.
-4*i*(i - 2)*(i - 1)*(i + 11)
Determine o, given that o**5 - 348*o**4 - 349*o**3 = 0.
-1, 0, 349
Solve 18*w**3 + 33*w**2 + 12*w - 3 = 0.
-1, 1/6
Factor -5*g**2 + 810*g - 805.
-5*(g - 161)*(g - 1)
Determine m so that -m**4/4 - 203*m**3/4 - 201*m**2/4 + 203*m/4 + 101/2 = 0.
-202, -1, 1
Solve 7*g**5 - 32*g**4/5 - g**3 + 2*g**2/5 = 0 for g.
-2/7, 0, 1/5, 1
Determine p, given that p**5/4 - 3*p**4/4 - 3*p**3/2 + 2*p**2 = 0.
-2, 0, 1, 4
What is x in -4*x**5/9 - 4*x**4/3 + 200*x**3/9 + 112*x**2 + 1568*x/9 + 256/3 = 0?
-6, -2, -1, 8
Find d, given that 5*d**4 + 10*d**3 - 15*d**2 = 0.
-3, 0, 1
Factor 4*r**5/3 - 12*r**4 + 56*r**3/3 + 8*r**2/3 - 20*r + 28/3.
4*(r - 7)*(r - 1)**3*(r + 1)/3
Factor -4*s**4/5 - 8*s**3/5 + 4*s**2/5 + 8*s/5.
-4*s*(s - 1)*(s + 1)*(s + 2)/5
Let 4*f**2/7 + 1308*f/7 = 0. What is f?
-327, 0
Solve j**2/4 - 342*j + 683 = 0.
2, 1366
Determine p, given that 2*p**4 - 4*p**3 - 22*p**2 + 24*p + 72 = 0.
-2, 3
Find x, given that x**4 - 307*x**3 + 23097*x**2 + 71455*x + 48050 = 0.
-2, -1, 155
Let o**4 - 4*o**3 + 16*o - 16 = 0. Calculate o.
-2, 2
Let 2*y**5/7 - 132*y**4/7 + 2042*y**3/7 + 4488*y**2/7 + 2312*y/7 = 0. Calculate y.
-1, 0, 34
Determine z, given that -4*z**2 + 172*z - 168 = 0.
1, 42
Factor -2*x**2 + 9000*x - 10125000.
-2*(x - 2250)**2
Solve -5*h**3 - 6965*h**2 + 27920*h - 27940 = 0.
-1397, 2
Determine a, given that 3*a**4/4 + 33*a**3/4 + 15*a**2/2 - 54*a = 0.
-9, -4, 0, 2
What is m in 5*m**4 + 200*m**3 + 715*m**2 - 200*m - 720 = 0?
-36, -4, -1, 1
Find l such that l**2/3 - 62*l/3 + 520/3 = 0.
10, 52
Factor -d**3/2 + 29*d**2/2 + 15*d.
-d*(d - 30)*(d + 1)/2
Suppose k**4 - 128*k**3 + 4344*k**2 - 15872*k + 15376 = 0. Calculate k.
2, 62
Factor v**4/3 - 35*v**3 + 827*v**2 + 14465*v/3 + 6050.
(v - 55)**2*(v + 2)*(v + 3)/3
Factor 4*b**3 + 130*b**2 + 622*b + 756.
2*(b + 2)*(b + 27)*(2*b + 7)
Determine c, given that -4*c**2 + 540*c = 0.
0, 135
Let 2*u**5/15 + 22*u**4/15 = 0. What is u?
-11, 0
Factor 5*p**2 - 11555*p + 11550.
5*(p - 2310)*(p - 1)
Determine v so that 4*v**3 + 348*v**2 + 8064*v 