**4 + 5*d**3 - 2*d**2.
d**2*(d - 2)*(d - 1)**2
Factor 2*i**3/19 - 142*i**2/19 + 2240*i/19 - 10200/19.
2*(i - 51)*(i - 10)**2/19
Factor -21*b**2 - 96*b.
-3*b*(7*b + 32)
Suppose q**2/9 + 11*q/9 - 4/3 = 0. Calculate q.
-12, 1
Factor -y**4/3 + 2*y**3/3 + 4*y**2/3 - 8*y/3.
-y*(y - 2)**2*(y + 2)/3
Let 55*w**3 - 1220*w**2 + 1375*w - 210 = 0. Calculate w.
2/11, 1, 21
What is a in a**4/6 - 247*a**3/3 - 997*a**2/2 - 750*a = 0?
-3, 0, 500
What is t in 2*t**5/5 - 18*t**4/5 + 10*t**3 - 54*t**2/5 + 4*t = 0?
0, 1, 2, 5
Factor -35*x**3 - 215*x**2 + 215*x + 35.
-5*(x - 1)*(x + 7)*(7*x + 1)
Factor -3*t**5 + 75*t**4 - 504*t**3 + 432*t**2.
-3*t**2*(t - 12)**2*(t - 1)
Suppose -4*s**4 + 328*s**3 + 332*s**2 = 0. Calculate s.
-1, 0, 83
What is l in -42*l**2/5 - 24*l - 72/5 = 0?
-2, -6/7
Let -g**3 - 42*g**2 - 39*g + 82 = 0. What is g?
-41, -2, 1
Find h, given that 5*h**4 + 85*h**3 - 535*h**2 + 375*h + 990 = 0.
-22, -1, 3
What is c in 2*c**3/3 + 896*c**2/3 + 100352*c/3 = 0?
-224, 0
Factor -8*o**3 - 2*o**2 + 7*o + 3.
-(o - 1)*(2*o + 1)*(4*o + 3)
Factor 4*k**2 + 64*k - 644.
4*(k - 7)*(k + 23)
Let 10*c**2 + 1946*c - 780 = 0. What is c?
-195, 2/5
Factor 1372*w**3 + 2940*w**2 + 2100*w + 500.
4*(7*w + 5)**3
Factor -4*q**2/7 + 254*q/7.
-2*q*(2*q - 127)/7
Factor -d**2/7 - 466*d/7 - 54289/7.
-(d + 233)**2/7
Solve -4*z**3 + 1448*z**2 + 1452*z = 0 for z.
-1, 0, 363
Factor -2*i**3/15 - 2*i**2/3 - 4*i/5.
-2*i*(i + 2)*(i + 3)/15
Factor 8*m**3/7 - 10*m**2 - 14*m - 20/7.
2*(m - 10)*(m + 1)*(4*m + 1)/7
Suppose 5*o**5/4 - 13*o**4 + 125*o**3/4 - 11*o**2/2 - 37*o + 14 = 0. Calculate o.
-1, 2/5, 2, 7
Factor -3*z**2/2 - 942*z - 147894.
-3*(z + 314)**2/2
Determine m, given that 3*m**5 - 3*m**4 - 18*m**3 - 6*m**2 + 15*m + 9 = 0.
-1, 1, 3
Factor -2*h**2/11 - 34*h/11 + 36/11.
-2*(h - 1)*(h + 18)/11
Factor x**4 + 17*x**3 + 96*x**2 + 180*x.
x*(x + 5)*(x + 6)**2
Solve -2*a**4 + 18*a**3 - 36*a**2 - 8*a + 48 = 0 for a.
-1, 2, 6
Suppose r**4 + 923*r**3 = 0. What is r?
-923, 0
Let 5*g**2 - 1085*g = 0. What is g?
0, 217
Suppose -3*b**2/4 - 21*b/2 - 147/4 = 0. What is b?
-7
Find j such that -2*j**4/17 - 2*j**3/17 + 12*j**2/17 + 8*j/17 - 16/17 = 0.
-2, 1, 2
Factor c**2/7 + 15212*c/7 + 57851236/7.
(c + 7606)**2/7
Factor -y**5 - 5*y**4 + y**3 + 5*y**2.
-y**2*(y - 1)*(y + 1)*(y + 5)
Suppose -4*i**4 - 20*i**3 - 12*i**2 + 36*i = 0. What is i?
-3, 0, 1
Solve 3*a**3/5 + 6*a**2/5 - 33*a/5 - 36/5 = 0.
-4, -1, 3
Factor -25*c**2/3 + 180*c + 220/3.
-5*(c - 22)*(5*c + 2)/3
Factor -2*s**3 - 106*s**2 - 1456*s - 1352.
-2*(s + 1)*(s + 26)**2
Solve y**4/2 + 25*y**3/2 + 23*y**2/2 - 25*y/2 - 12 = 0 for y.
-24, -1, 1
Factor -4*u**5/5 + 84*u**4/5.
-4*u**4*(u - 21)/5
Find o, given that 5*o**3/2 - 255*o**2 + 1005*o/2 - 250 = 0.
1, 100
Determine r, given that r**5/4 + 29*r**4/4 + 219*r**3/4 + 59*r**2/4 - 224*r + 147 = 0.
-14, -3, 1
Solve 4*j**2 - 224*j + 2652 = 0.
17, 39
Determine i so that 2*i**2/5 + 184*i/5 - 114 = 0.
-95, 3
Let -2*b**2/7 + 10*b/7 = 0. What is b?
0, 5
Suppose -l**5/5 - 4*l**4 - 16*l**3/5 + 62*l**2/5 + 97*l/5 + 38/5 = 0. Calculate l.
-19, -1, 2
Find z, given that 2*z**2 - 204*z + 5202 = 0.
51
Let -3*c**4/4 + 15*c**3/4 - 3*c**2 = 0. Calculate c.
0, 1, 4
What is r in 24*r**3/5 - 28*r**2 + 20*r = 0?
0, 5/6, 5
Factor 4*g**5 - 16*g**4 + 8*g**3 + 16*g**2 - 12*g.
4*g*(g - 3)*(g - 1)**2*(g + 1)
Determine i so that 2*i**4 - 77*i**3/2 + 499*i**2/2 - 564*i + 126 = 0.
1/4, 6, 7
Solve -3*g**2 - 105*g - 450 = 0 for g.
-30, -5
Factor 4*i**3 + 56*i**2 + 240*i + 288.
4*(i + 2)*(i + 6)**2
Determine z, given that -3*z**5 + 76*z**4/5 - 25*z**3 + 68*z**2/5 - 4*z/5 = 0.
0, 1/15, 1, 2
What is z in -z**5 + 25*z**4 - 35*z**3 - 265*z**2 + 276*z = 0?
-3, 0, 1, 4, 23
Let p**2/5 + 16*p = 0. What is p?
-80, 0
Solve 4*v**4/3 - 196*v**3/3 + 184*v**2/3 + 128*v = 0.
-1, 0, 2, 48
Factor 4*b**4 - 1028*b**3 + 88740*b**2 - 2629900*b + 4913000.
4*(b - 85)**3*(b - 2)
Let 90*d**4/13 - 74*d**3/13 - 348*d**2/13 + 296*d/13 - 48/13 = 0. Calculate d.
-2, 2/9, 3/5, 2
Factor x**4 - 5*x**3.
x**3*(x - 5)
Factor z**5/5 - 34*z**4/5 - 72*z**3/5 - 2*z**2/5 + 71*z/5 + 36/5.
(z - 36)*(z - 1)*(z + 1)**3/5
Factor -k**2/5 + 15*k.
-k*(k - 75)/5
What is d in d**4/11 + 5*d**3/11 + 6*d**2/11 - 4*d/11 - 8/11 = 0?
-2, 1
Factor 12*u**3/5 - 39*u**2 - 156*u/5 + 51/5.
3*(u - 17)*(u + 1)*(4*u - 1)/5
Determine u, given that 5*u**4 + 15*u**3 - 10*u**2 - 60*u - 40 = 0.
-2, -1, 2
What is x in -x**3/2 - 1106*x**2 - 611618*x = 0?
-1106, 0
Suppose h**2/7 - 13*h/7 + 30/7 = 0. What is h?
3, 10
Find q, given that -2*q**3 - 1464*q**2 - 266442*q + 538756 = 0.
-367, 2
Factor 5*v**3 - 5*v.
5*v*(v - 1)*(v + 1)
Factor -73*h**2/7 - 144*h/7 + 4/7.
-(h + 2)*(73*h - 2)/7
Factor -5*h**5/2 + 5*h**3 - 5*h/2.
-5*h*(h - 1)**2*(h + 1)**2/2
Solve 4*i**2 + 6624*i = 0 for i.
-1656, 0
Factor v**2 + 37*v - 38.
(v - 1)*(v + 38)
Find p such that -p**5 - p**4 + 5*p**3 - 3*p**2 = 0.
-3, 0, 1
Find a, given that a**3 + 651*a**2 + 108819*a + 927369 = 0.
-321, -9
Factor o**5/5 - 8*o**4/5 + 19*o**3/5 - 12*o**2/5.
o**2*(o - 4)*(o - 3)*(o - 1)/5
Factor g**2 - 15*g.
g*(g - 15)
Factor 972*b**3/7 + 1080*b**2/7 + 111*b/7 + 3/7.
3*(b + 1)*(18*b + 1)**2/7
Find c, given that 2*c**3/3 + 86*c**2 - 174*c + 262/3 = 0.
-131, 1
Let -d**4 - d**3 + d**2 + d = 0. What is d?
-1, 0, 1
Factor -r**3/6 - 497*r**2/2 - 247009*r/2 - 122763473/6.
-(r + 497)**3/6
Determine w so that -2*w**2 + 390*w - 772 = 0.
2, 193
Solve 5*r**4/2 + 1815*r**3/4 - 1145*r**2 + 3675*r/4 - 230 = 0 for r.
-184, 1/2, 1
Factor 225*r**4 + 930*r**3 - 5924*r**2 + 7896*r - 3136.
(r - 2)*(r + 8)*(15*r - 14)**2
Factor 2*l**3/3 + 58*l**2/3 + 130*l - 150.
2*(l - 1)*(l + 15)**2/3
Factor -3*s**2 - 918*s - 1824.
-3*(s + 2)*(s + 304)
Let 3*l**4 - 3*l**2 = 0. What is l?
-1, 0, 1
Factor 3*g**2 - 15*g - 108.
3*(g - 9)*(g + 4)
Determine d, given that 3*d**3/5 - 3*d**2 - 12*d/5 + 12 = 0.
-2, 2, 5
Solve -3*t**3/4 + 399*t**2/2 - 1587*t/4 + 198 = 0 for t.
1, 264
Let 2*h**4/3 + 8*h**3 + 106*h**2/3 + 68*h + 48 = 0. What is h?
-4, -3, -2
Determine o so that -o**3 + 9*o**2 + 10*o = 0.
-1, 0, 10
Factor 3*b**2 - 273*b + 1290.
3*(b - 86)*(b - 5)
Determine w so that -w**4/9 - 13*w**3/9 - 56*w**2/9 - 80*w/9 = 0.
-5, -4, 0
Factor -3*g**3/4 - 15*g**2/2 + 69*g/4 - 9.
-3*(g - 1)**2*(g + 12)/4
Factor 18*o**2 - 4*o - 22.
2*(o + 1)*(9*o - 11)
Solve -8*c**5/5 - 58*c**4/5 - 126*c**3/5 - 92*c**2/5 - 16*c/5 = 0.
-4, -2, -1, -1/4, 0
Factor -f**2 + 3706*f - 3433609.
-(f - 1853)**2
Suppose -4*m**2/3 + 2*m/15 = 0. Calculate m.
0, 1/10
Factor 434*s**3 - 4058*s**2 + 1376*s - 72.
2*(s - 9)*(7*s - 2)*(31*s - 2)
What is k in -3*k**4 + 4*k**3 - k**2 = 0?
0, 1/3, 1
Factor -2*p**3 - 44*p**2/3 - 14*p/3.
-2*p*(p + 7)*(3*p + 1)/3
Factor -3*y**2 - 27*y + 66.
-3*(y - 2)*(y + 11)
Solve 2*b**3/17 + 8*b**2/17 - 30*b/17 - 36/17 = 0 for b.
-6, -1, 3
Solve -s**4/2 + 22*s**3 - 192*s**2 - 1152*s = 0.
-4, 0, 24
Factor 24*r**3 + 4014*r**2 + 447561*r/2 + 33268701/8.
3*(4*r + 223)**3/8
Factor -2*j**3/11 - 92*j**2 - 1010*j/11.
-2*j*(j + 1)*(j + 505)/11
Find f such that -4*f**4 + 36*f**3 - 24*f**2 - 64*f = 0.
-1, 0, 2, 8
Factor 2*c**4 - 20*c**3 + 50*c**2.
2*c**2*(c - 5)**2
Factor 4*u**3/3 - 17*u**2/3 - 464*u/3 + 39.
(u - 13)*(u + 9)*(4*u - 1)/3
Let -4*t**4 - 72*t**3 + 580*t**2 + 72*t - 576 = 0. Calculate t.
-24, -1, 1, 6
Factor 4*a**3 - 1196*a**2 + 87580*a + 273612.
4*(a - 151)**2*(a + 3)
Find t such that 2*t**4/13 - 322*t**3/13 - 654*t**2/13 + 322*t/13 + 652/13 = 0.
-2, -1, 1, 163
What is h in 5*h**4 + 5*h**3 - 20*h**2 - 20*h = 0?
-2, -1, 0, 2
Let 16*z**4/3 - 148*z**3 + 1024*z**2/3 + 628*z + 400/3 = 0. What is z?
-1, -1/4, 4, 25
Find v, given that -8*v**5 + 38*v**4 + 200*v**3 + 88*v**2 - 192*v = 0.
-2, 0, 3/4, 8
Factor 22*f**5 - 84*f**4 - 16*f**3.
2*f**3*(f - 4)*(11*f + 2)
Suppose 6*o**4/5 + 8*o**3/5 - 56*o**2/5 + 32*o/5 = 0. Calculate o.
-4, 0, 2/3, 2
Solve n**2/2 + 57*n/2 + 28 = 0.
-56, -1
Factor 2*y**3/9 - 62*y**2/9 - 290*y/9 + 350/9.
2*(y - 35)*(y - 1)*(y + 5)/9
Factor 4*h**2 + 216*h + 212.
4*(h + 1)*(h + 53)
Solve -5*y**2 + 105*y + 650 = 0 for y.
-5, 26
Solve -10*g**4 - 235*g**3/2 - 20*g**2 + 1345*g/2 - 165 = 0.
-11, -3, 1/4, 2
Factor -2*k**2/19 + 2808*k/19 - 985608/19.
-2*(k - 702)**2/19
Suppose u**3/4 + 13*u**2/4 + 35*u/4 - 49/4 = 0. Calculate u.
-7, 1
Factor -t**2/6 + 4*t/3 + 3/2.
-(t - 9)*(t + 1)/6
Find t such that -3*t**3/5