 + 30*h**3 - 18*h**2 + 4*h.
2*h*(h - 1)**3*(3*h - 2)
Solve -54*b**5 + 132*b**4 + 14*b**3 - 148*b**2 + 40*b + 16 = 0 for b.
-1, -2/9, 2/3, 1, 2
Determine m so that 2*m**2/3 + 380*m/3 + 752/3 = 0.
-188, -2
Let t**5/4 + 17*t**4 - 105*t**3/2 + 53*t**2 - 71*t/4 = 0. What is t?
-71, 0, 1
Factor 2*a**3/3 - 2*a**2/3 - 10*a/3 - 2.
2*(a - 3)*(a + 1)**2/3
Find c, given that c**4/2 + 111*c**3/2 - 7395*c**2/2 + 135541*c/2 - 397953 = 0.
-162, 17
Factor 576*y**3/5 + 4192*y**2/5 + 1428*y - 360.
4*(4*y + 15)**2*(9*y - 2)/5
Factor 15*g**2 - 34506*g + 13800.
3*(g - 2300)*(5*g - 2)
Let -a**3 + 9*a**2 = 0. What is a?
0, 9
Suppose 2*j**3/5 - 66*j**2/5 - 296*j/5 = 0. What is j?
-4, 0, 37
Factor -4*o**2/7 - 48*o/7.
-4*o*(o + 12)/7
What is d in -2*d**3 + 288*d**2 + 2400*d + 4864 = 0?
-4, 152
Factor -b**2/3 + 383*b/3 + 128.
-(b - 384)*(b + 1)/3
Solve -t**4 + 7738*t**3 - 14961421*t**2 - 29946060*t - 14976900 = 0.
-1, 3870
Factor 5*t**2/4 + 135*t/2 + 3645/4.
5*(t + 27)**2/4
Factor r**2 + 75*r + 74.
(r + 1)*(r + 74)
Suppose -m**2/6 + 1505*m/3 - 2265025/6 = 0. Calculate m.
1505
Let q**4 + 595*q**3 - 1193*q**2 + 597*q = 0. What is q?
-597, 0, 1
Let -2*t**3/7 + 36*t**2/7 - 102*t/7 - 52 = 0. Calculate t.
-2, 7, 13
Factor 4*o**3/5 - 12*o**2 + 72*o/5 + 416/5.
4*(o - 13)*(o - 4)*(o + 2)/5
Factor 2*b**3/11 - 42*b**2/11 + 288*b/11 - 640/11.
2*(b - 8)**2*(b - 5)/11
Factor -2*u**2 + 78*u + 164.
-2*(u - 41)*(u + 2)
Let 2*c**2/5 - 20096*c/5 + 50481152/5 = 0. Calculate c.
5024
Factor -4*d**4 + 56*d**3 + 68*d**2 - 120*d.
-4*d*(d - 15)*(d - 1)*(d + 2)
Solve -14*y**5 - 304*y**4 - 2110*y**3 - 4916*y**2 - 2952*y + 1296 = 0.
-9, -2, 2/7
Let -5*o**3 - 35*o**2 - 80*o - 60 = 0. What is o?
-3, -2
Suppose 2*s**3 - 24*s**2 - 488*s + 1056 = 0. What is s?
-12, 2, 22
Suppose g**2/4 + 136*g + 1623/4 = 0. What is g?
-541, -3
Factor 3*j**2 - 810*j + 54675.
3*(j - 135)**2
Let -n**4/7 + 23*n**3 + 489*n**2/7 + 491*n/7 + 164/7 = 0. Calculate n.
-1, 164
What is u in -3*u**5/7 - 3*u**4/7 + 6*u**3/7 = 0?
-2, 0, 1
Solve 4*a**4 - 28*a**3 + 40*a**2 = 0 for a.
0, 2, 5
Determine l, given that 4*l**3 - 568*l**2 - 2320*l - 2336 = 0.
-2, 146
Determine p so that -p**4/9 + 1198*p**3/9 - 119600*p**2/3 - 1198*p/9 + 358801/9 = 0.
-1, 1, 599
Let -2*b**3/15 - 2*b**2/5 + 8/15 = 0. Calculate b.
-2, 1
Factor 5*z**4 + 65*z**3 + 160*z**2 + 100*z.
5*z*(z + 1)*(z + 2)*(z + 10)
Factor -6*a**3 - 27*a**2 + 15*a.
-3*a*(a + 5)*(2*a - 1)
Factor 2*r**3/3 - 28*r**2/3 - 46*r - 36.
2*(r - 18)*(r + 1)*(r + 3)/3
Factor -z**4/3 - 155*z**3/3 + 632*z**2/3 - 212*z.
-z*(z - 2)**2*(z + 159)/3
Let -r**2/2 + 27*r - 729/2 = 0. Calculate r.
27
Solve 5*k**5 - 15*k**4 - 1200*k**3 - 6080*k**2 = 0.
-8, 0, 19
Factor 6*t**4 + 20*t**3 + 8*t**2 - 16*t.
2*t*(t + 2)**2*(3*t - 2)
Factor v**3/2 + 2481*v**2/2 + 2051787*v/2 + 565609283/2.
(v + 827)**3/2
Factor 18*r**5 + 3072*r**4 + 348841*r**3/2 + 6550155*r**2/2 - 2212569*r/2 + 185193/2.
(r + 57)**3*(6*r - 1)**2/2
Suppose w**2/8 + 37*w/8 = 0. Calculate w.
-37, 0
Factor 2*d**5/7 + 642*d**4/7 + 3804*d**3/7 + 7576*d**2/7 + 720*d.
2*d*(d + 2)**3*(d + 315)/7
Let -w**2/6 - 16*w/3 - 56/3 = 0. What is w?
-28, -4
Find n such that 2*n**3 - 96*n - 256 = 0.
-4, 8
Solve 100*h**5 + 2155*h**4 + 1115*h**3 - 835*h**2 + 105*h = 0 for h.
-21, -1, 0, 1/5, 1/4
Factor 2*u**2 + 68*u - 1344.
2*(u - 14)*(u + 48)
Factor -p**4 + 26*p**3 + 28*p**2 - 26*p - 27.
-(p - 27)*(p - 1)*(p + 1)**2
Factor 3*v**2 + 21*v + 18.
3*(v + 1)*(v + 6)
Let z**3/3 - z**2/3 = 0. What is z?
0, 1
Find r, given that -5*r**2/3 - 1050*r + 3155/3 = 0.
-631, 1
Determine x, given that 2*x**4 - 28*x**3 + 98*x**2 = 0.
0, 7
Suppose 2*p**2 + 56*p + 230 = 0. What is p?
-23, -5
Suppose -2*o**3 + 59*o**2/2 + 519*o/2 + 63 = 0. Calculate o.
-6, -1/4, 21
Find c such that 3*c**3/2 - 9*c**2 = 0.
0, 6
Find p, given that -5*p**3/4 - 40*p**2 + 525*p/4 = 0.
-35, 0, 3
Factor -4*o**2 + 132*o + 136.
-4*(o - 34)*(o + 1)
Suppose 10*p**4 + 174*p**3 + 868*p**2 + 960*p + 256 = 0. What is p?
-8, -1, -2/5
Find h, given that -2*h**2/5 - 44*h + 448/5 = 0.
-112, 2
Factor -g**2/7 - 363*g/7 + 1468/7.
-(g - 4)*(g + 367)/7
Factor 10*p**4 + 105*p**3 + 125*p**2 - 90*p.
5*p*(p + 2)*(p + 9)*(2*p - 1)
Factor 2*k**2/3 + 188*k/3 + 1376/3.
2*(k + 8)*(k + 86)/3
Determine m, given that 2*m**4/15 + 28*m**3/5 - 58*m**2/5 + 88*m/15 = 0.
-44, 0, 1
Determine x so that -4*x**4/7 + 106*x**3/7 - 150*x**2/7 - 2*x/7 + 50/7 = 0.
-1/2, 1, 25
Find d such that d**2 + 526*d - 527 = 0.
-527, 1
Find r, given that -11*r**3/5 - 101*r**2/5 - 106*r/5 - 16/5 = 0.
-8, -1, -2/11
What is m in 3*m**2/5 + 3189*m/5 - 1278 = 0?
-1065, 2
Solve 3*j**2 + 852*j - 3456 = 0.
-288, 4
Find r such that 5*r**4 - 50*r**3 - 405*r**2 + 450*r = 0.
-6, 0, 1, 15
Let -2*g**3/5 - 226*g**2/5 - 422*g - 1030 = 0. What is g?
-103, -5
Determine m, given that -4*m**2/3 + 12920*m/3 - 10432900/3 = 0.
1615
Factor -4*j**2 + 416*j - 10816.
-4*(j - 52)**2
Solve s**5 - 11*s**4 - 2*s**3 + 22*s**2 + s - 11 = 0 for s.
-1, 1, 11
Factor s**3/3 + 18*s**2 + 308*s + 5096/3.
(s + 14)**2*(s + 26)/3
Suppose 11*y**4/2 - 10*y**3 - 147*y**2/2 - 68*y - 10 = 0. Calculate y.
-2, -1, -2/11, 5
Let v**5/4 + v**4/4 - 3*v**3/2 - v**2 + 2*v = 0. Calculate v.
-2, 0, 1, 2
Let -27*h**4/5 - 765*h**3 + 9024*h**2/5 - 1380*h + 1728/5 = 0. What is h?
-144, 2/3, 1
Factor -3*a**3 - 270*a**2 + 837*a.
-3*a*(a - 3)*(a + 93)
Suppose -v**5/4 - v**4 + 15*v**3/2 + 17*v**2 + 35*v/4 = 0. What is v?
-7, -1, 0, 5
Factor 45*b**3/4 - 3*b**2/4 - 405*b/4 + 27/4.
3*(b - 3)*(b + 3)*(15*b - 1)/4
Factor 18*n**3 + 86*n**2 - 178*n/9 + 10/9.
2*(n + 5)*(9*n - 1)**2/9
Factor -u**3/3 + 8*u**2/3.
-u**2*(u - 8)/3
Factor 5*w**4 - 35*w**3 + 75*w**2 - 45*w.
5*w*(w - 3)**2*(w - 1)
Determine i so that -625000*i**5 - 1212500*i**4 + 74250*i**3 - 1495*i**2 + 10*i = 0.
-2, 0, 1/50
Find y, given that 3*y**3 - 21*y**2 - 54*y = 0.
-2, 0, 9
Let -2*g**4 - 52*g**3 - 282*g**2 + 728*g - 392 = 0. Calculate g.
-14, 1
Determine n so that -2*n**3/15 + 8*n**2/15 - 2*n/5 = 0.
0, 1, 3
Find u such that 25*u**2 - 4670*u - 935 = 0.
-1/5, 187
Factor 4*q**3 - 4*q**2 - 40*q - 32.
4*(q - 4)*(q + 1)*(q + 2)
Find y such that 3*y**3/4 + 255*y**2/2 - 1041*y/4 - 387 = 0.
-172, -1, 3
Factor -9*p**4 + 21*p**3 + 38*p**2 - 68*p + 24.
-(p - 3)*(p + 2)*(3*p - 2)**2
Find d such that 2*d**5/9 - 14*d**4/3 - 94*d**3/9 + 14*d**2/3 + 92*d/9 = 0.
-2, -1, 0, 1, 23
Factor 3*b**4 - 3*b**3 - 12*b**2 + 12*b.
3*b*(b - 2)*(b - 1)*(b + 2)
Factor 22*f**2/13 + 28*f/13 + 6/13.
2*(f + 1)*(11*f + 3)/13
Find p such that p**4 + p**3/2 - 3*p**2 - 7*p/2 - 1 = 0.
-1, -1/2, 2
Suppose 5*h**5 + 530*h**4 + 14030*h**3 - 1600*h**2 - 43195*h - 28090 = 0. What is h?
-53, -1, 2
Solve i**2/4 - 16*i - 65/4 = 0.
-1, 65
Factor -r**2/10 + 4166*r/5 - 8677778/5.
-(r - 4166)**2/10
Factor 2*j**2 + 52*j + 138.
2*(j + 3)*(j + 23)
Determine k so that 2*k**5/3 - 8*k**4 + 76*k**3/3 - 104*k**2/3 + 22*k - 16/3 = 0.
1, 8
Let -u**3/2 + 19*u**2/2 - 87*u/2 + 117/2 = 0. Calculate u.
3, 13
Find p, given that -9*p**2 + 33*p = 0.
0, 11/3
Factor -2*f**3 + 18*f**2 - 48*f + 32.
-2*(f - 4)**2*(f - 1)
Factor -2*u**4 - 64*u**3 - 180*u**2 - 176*u - 58.
-2*(u + 1)**3*(u + 29)
Find y, given that 1167051*y**3/7 + 95922*y**2/7 + 2628*y/7 + 24/7 = 0.
-2/73
Factor -n**4/8 + 230*n**3 - 422279*n**2/4 - 211830*n - 848241/8.
-(n - 921)**2*(n + 1)**2/8
Solve -x**5/5 + 8*x**4/5 + 21*x**3/5 - 8*x**2/5 - 4*x = 0 for x.
-2, -1, 0, 1, 10
Factor 4*u**2 - 32*u - 36.
4*(u - 9)*(u + 1)
What is h in -2*h**2/9 + 8*h/3 - 6 = 0?
3, 9
Factor 4*b**2/3 + 2368*b/3 + 350464/3.
4*(b + 296)**2/3
Let 8*v**4/9 + 16*v**3/3 - 2*v**2/3 - 38*v/9 - 4/3 = 0. What is v?
-6, -1/2, 1
Let -n**5/4 + 101*n**4/4 - 197*n**3/4 - 101*n**2/4 + 99*n/2 = 0. What is n?
-1, 0, 1, 2, 99
Suppose -3*h**5 + 3*h**4 + 36*h**3 - 84*h**2 + 48*h = 0. Calculate h.
-4, 0, 1, 2
Solve r**5/2 - 18*r**4 + 142*r**3 + 379*r**2 - 285*r/2 - 361 = 0 for r.
-2, -1, 1, 19
Factor d**2/2 + 49*d/2 + 47.
(d + 2)*(d + 47)/2
What is m in 4*m**4/5 - 291*m**3/5 + 5399*m**2/5 - 3816*m/5 - 1296/5 = 0?
-1/4, 1, 36
Determine b so that -2*b**3/5 + 38*b**2/5 - 96*b/5 = 0.
0, 3, 16
Factor 10*z**2 + 46*z + 24.
2*(z + 4)*(5*z + 3)
Factor 4*s**3 + 14140*s**2 + 12503292*s + 12489156.
4*(s + 1)*(s + 1767)**2
Suppose -2*s**3/3 - 406*s**2 - 61610*s + 186050/3 = 0. Calculate s.
-305, 1
Solve -5*v**4 - 70*v**3 + 180*v**2 + 280*v - 