*d**2/4 - 3.
3*(d - 1)*(d + 2)**2/4
Factor 18*q**5 - 1056*q**4 + 14768*q**3 + 21120*q**2 + 7200*q.
2*q*(q - 30)**2*(3*q + 2)**2
Factor -2*l**2 - 852*l + 854.
-2*(l - 1)*(l + 427)
Suppose -a**4/2 - 41*a**3 - 1509*a**2/2 + 3526*a - 3698 = 0. Calculate a.
-43, 2
What is n in -3*n**2/2 + 243*n/2 + 123 = 0?
-1, 82
Determine l so that -32*l**5 - 368*l**4 + 3310*l**3 + 5530*l**2 + 2122*l + 238 = 0.
-17, -1, -1/4, 7
Factor 2*z**2/7 + 178*z/7 + 680/7.
2*(z + 4)*(z + 85)/7
Factor f**5 - 3*f**4 - 162*f**3 + 742*f**2 + 1953*f + 1053.
(f - 9)**2*(f + 1)**2*(f + 13)
Factor l**4/3 + 46*l**3/3.
l**3*(l + 46)/3
Solve 2*x**4 + 46*x**3/7 + 54*x**2/7 + 26*x/7 + 4/7 = 0 for x.
-1, -2/7
What is y in -35*y**2 + 40695*y + 11630 = 0?
-2/7, 1163
Determine w, given that 5*w**5 + 60*w**4 - 220*w**3 + 90*w**2 + 215*w - 150 = 0.
-15, -1, 1, 2
Factor k**2/7 - 26*k/7 - 87/7.
(k - 29)*(k + 3)/7
Let -2*m**5/3 - 2*m**4 + 2*m**3/3 + 2*m**2 = 0. Calculate m.
-3, -1, 0, 1
Factor -2*w**4 - 12*w**3 + 50*w**2 - 36*w.
-2*w*(w - 2)*(w - 1)*(w + 9)
Determine q so that 3*q**3/7 - 684*q**2/7 + 1347*q/7 + 2034/7 = 0.
-1, 3, 226
Determine a so that -2*a**2/9 - 8*a/3 - 64/9 = 0.
-8, -4
Determine b so that 13*b**3 + 110*b**2 + 256*b + 96 = 0.
-4, -6/13
Solve 2*q**3/5 - 12*q**2/5 - 22*q = 0.
-5, 0, 11
Factor -g**2 - 6*g + 16.
-(g - 2)*(g + 8)
Solve -5*d**3 - 105*d**2 - 180*d + 1620 = 0 for d.
-18, -6, 3
What is f in -f**2/4 + 77*f + 309/4 = 0?
-1, 309
Factor -12*o**4 + 3092*o**3 - 2056*o**2.
-4*o**2*(o - 257)*(3*o - 2)
Determine h so that 3*h**4/5 + 183*h**3/5 + 2817*h**2/5 + 11517*h/5 - 2904 = 0.
-40, -11, 1
Let 1444*x**5 + 1748*x**4 - 10624*x**3 - 12080*x**2 + 19584*x + 20736 = 0. Calculate x.
-2, -1, 36/19
Factor -2*d**4/9 + 4*d**3/3 - 2*d**2 + 8*d/9.
-2*d*(d - 4)*(d - 1)**2/9
Factor -33*j**2/4 + 18*j - 3.
-3*(j - 2)*(11*j - 2)/4
Let -130*y**2 + 135*y - 5 = 0. What is y?
1/26, 1
Suppose 25*r**2 + 665*r/3 - 30 = 0. Calculate r.
-9, 2/15
Factor -t**4/5 - 47*t**3/5 - 123*t**2/5 + 391*t/5 - 44.
-(t - 1)**2*(t + 5)*(t + 44)/5
Suppose -3*v**5 + 12*v**4 - 18*v**3 + 12*v**2 - 3*v = 0. What is v?
0, 1
Factor 3*f**2/5 - 6108*f + 15544860.
3*(f - 5090)**2/5
Determine z, given that 2*z**3/13 - 532*z**2/13 - 1070*z/13 - 536/13 = 0.
-1, 268
Factor 2*n**3/3 + 88*n**2/3 + 280*n + 768.
2*(n + 6)**2*(n + 32)/3
Factor s**4 - 27*s**3 + 135*s**2 - 189*s.
s*(s - 21)*(s - 3)**2
Factor 6*f**2/5 + 378*f/5 - 4884/5.
6*(f - 11)*(f + 74)/5
Factor -2*r**3 + 72*r**2 + 74*r.
-2*r*(r - 37)*(r + 1)
Determine i, given that 6*i**2 + 8*i + 2 = 0.
-1, -1/3
Let 16*g**2/11 - 130*g/11 + 246/11 = 0. Calculate g.
3, 41/8
Factor -4*m**3 + 44*m**2 - 40*m.
-4*m*(m - 10)*(m - 1)
Factor -v**5 + v**4 + 4*v**3 - 4*v**2.
-v**2*(v - 2)*(v - 1)*(v + 2)
Determine s so that 2*s**2/5 - 936*s/5 - 2826/5 = 0.
-3, 471
Solve -2*u**2 - 30*u = 0 for u.
-15, 0
Let -u**5/3 + 3*u**4 - 6*u**3 - 18*u**2 + 81*u - 81 = 0. What is u?
-3, 3
What is j in -4*j**3 - 48*j**2 - 36*j + 88 = 0?
-11, -2, 1
Factor 33*j**2/2 + 96*j - 18.
3*(j + 6)*(11*j - 2)/2
Factor -p**3/9 - 29*p**2/9 - 28*p/9.
-p*(p + 1)*(p + 28)/9
Find q such that 5*q**4/6 + 16*q**3 + 643*q**2/6 + 278*q + 186 = 0.
-31/5, -6, -1
Factor -6*m**3 - 2522*m**2 + 1684*m.
-2*m*(m + 421)*(3*m - 2)
Find f, given that 5*f**2/2 - 1020*f + 104040 = 0.
204
Solve -2*o**3/13 + 1080*o**2/13 - 194400*o/13 + 11664000/13 = 0 for o.
180
Factor k**3 + 3*k**2 - 40*k.
k*(k - 5)*(k + 8)
Factor 2*t**2 + 52*t + 338.
2*(t + 13)**2
Let -135*j**5 - 280*j**4 + 115*j**3 + 280*j**2 + 20*j = 0. Calculate j.
-2, -1, -2/27, 0, 1
Find x, given that -6*x**2 + 302*x + 204 = 0.
-2/3, 51
Factor 2*v**3 + 1994*v**2 + 496006*v - 498002.
2*(v - 1)*(v + 499)**2
Factor 2*k**3/5 - 26*k**2/5 - 104*k/5 + 128/5.
2*(k - 16)*(k - 1)*(k + 4)/5
Solve -5*m**3 + 410*m**2 + 835*m + 420 = 0 for m.
-1, 84
Factor -35*s**4 + 33*s**3 + 37*s**2 - 33*s - 2.
-(s - 1)**2*(s + 1)*(35*s + 2)
Solve -i**3/5 + 56*i**2/5 + 116*i/5 = 0.
-2, 0, 58
Determine g so that 3*g**4/8 + 3*g**3/2 - 21*g**2/8 - 51*g/4 - 9 = 0.
-4, -2, -1, 3
Find i, given that -2*i**5 + 2*i**4 + 106*i**3 - 322*i**2 - 104*i + 320 = 0.
-8, -1, 1, 4, 5
Factor -3*x**4 - 129*x**3 - 369*x**2 - 363*x - 120.
-3*(x + 1)**3*(x + 40)
Factor 2*w**2/5 + 316*w + 62410.
2*(w + 395)**2/5
What is j in 3*j**4 - 153*j**3 + 144*j**2 + 300*j = 0?
-1, 0, 2, 50
Factor -c**4/3 + 68*c**3/3 - 44*c**2.
-c**2*(c - 66)*(c - 2)/3
Determine f, given that 2*f**5/3 + 98*f**4/3 + 94*f**3 + 278*f**2/3 + 92*f/3 = 0.
-46, -1, 0
Suppose 7*l**3/2 + 51*l**2/2 + 42*l + 10 = 0. Calculate l.
-5, -2, -2/7
Factor -2*t**2/11 + 14*t + 480/11.
-2*(t - 80)*(t + 3)/11
Find y such that 40*y**5 + 4*y**4 - 80*y**3 - 8*y**2 + 40*y + 4 = 0.
-1, -1/10, 1
Factor s**2/5 - 7*s/5 - 6.
(s - 10)*(s + 3)/5
Find m, given that 5*m**4 + 9120*m**3 + 4140440*m**2 - 16671360*m + 16707920 = 0.
-914, 2
Factor -6*k**4/11 - 40*k**3/11 - 78*k**2/11 - 36*k/11.
-2*k*(k + 3)**2*(3*k + 2)/11
Solve -2*t**2 + 10*t = 0 for t.
0, 5
Find w such that 4*w**2 + 768*w + 36864 = 0.
-96
Factor -3*m**5 + 9*m**4 - 6*m**3.
-3*m**3*(m - 2)*(m - 1)
Determine u so that 2*u**2 - 308*u + 306 = 0.
1, 153
Let w**4/8 - 47*w**3/4 - 99*w**2/8 + 47*w + 95/2 = 0. Calculate w.
-2, -1, 2, 95
Determine u so that -54*u**5/5 + 24*u**4/5 - 8*u**3/15 = 0.
0, 2/9
Let i**3/7 - 15*i**2/7 + 12*i/7 + 4 = 0. What is i?
-1, 2, 14
Factor 5*h**5 + 85*h**4 - 90*h**3.
5*h**3*(h - 1)*(h + 18)
Find k, given that -2*k**4 + 734*k**3 - 732*k**2 = 0.
0, 1, 366
Factor -3*i**3 - 609*i**2 + 3*i + 609.
-3*(i - 1)*(i + 1)*(i + 203)
Suppose -2*c**2/19 - 36*c/19 - 34/19 = 0. Calculate c.
-17, -1
Let -5*w**5 + 140*w**4 + 95*w**3 - 18050*w**2 = 0. Calculate w.
-10, 0, 19
Factor 25*w**5/4 - 405*w**4/4 + 1077*w**3/2 - 2141*w**2/2 + 3597*w/4 - 1089/4.
(w - 1)**3*(5*w - 33)**2/4
Solve -25*x**3/3 + 23*x**2/3 + 2*x/3 = 0 for x.
-2/25, 0, 1
Factor -5*c**2 + 105*c - 100.
-5*(c - 20)*(c - 1)
Suppose -5*l**2 + 820*l - 2415 = 0. Calculate l.
3, 161
Factor -2*l**3/5 - 32*l**2/5 - 56*l/5.
-2*l*(l + 2)*(l + 14)/5
Determine y so that -192*y**3 + 336*y**2 - 171*y + 27 = 0.
3/8, 1
Solve -o**2 + 27*o + 58 = 0.
-2, 29
Let 2*m**2/21 + 1996*m/21 - 666/7 = 0. What is m?
-999, 1
Determine q, given that q**2 - 6*q - 352 = 0.
-16, 22
Factor 2*g**5/9 + 1270*g**4 + 2903220*g**3 + 3318380460*g**2 + 1896454432890*g + 433529483358654.
2*(g + 1143)**5/9
Factor -2*o**2 + 1268*o - 1266.
-2*(o - 633)*(o - 1)
Suppose -a**2/2 + 4*a - 7/2 = 0. What is a?
1, 7
Solve -u**2/5 + 432*u/5 - 46656/5 = 0.
216
Find c, given that -3*c**2 + 855*c - 2538 = 0.
3, 282
Find p, given that -4*p**5 + 20*p**4 - 16*p**3 = 0.
0, 1, 4
What is m in -2*m**4/5 + 16*m**3/3 - 88*m**2/15 - 32*m/5 = 0?
-2/3, 0, 2, 12
Suppose -2*g**4/7 - 16*g**3/7 + 40*g**2/7 = 0. Calculate g.
-10, 0, 2
Factor 4*c**4 + 88*c**3 + 4*c**2 - 5280*c + 14400.
4*(c - 4)**2*(c + 15)**2
Factor 2*o**5 - 16*o**4 + 32*o**3.
2*o**3*(o - 4)**2
Determine o so that 4*o**3 - 24484*o**2 + 37478880*o - 37454400 = 0.
1, 3060
Factor a**5/6 + a**4/6 - a**3/3 - a**2/3 + a/6 + 1/6.
(a - 1)**2*(a + 1)**3/6
Factor -2*o**2/11 - 168*o/11 - 166/11.
-2*(o + 1)*(o + 83)/11
Find h, given that 4*h**5/7 + 4*h**4/7 - 4*h**3/7 - 4*h**2/7 = 0.
-1, 0, 1
Factor -i**3/2 - 7*i**2/2 - 6*i.
-i*(i + 3)*(i + 4)/2
Suppose -4*i**3 + 80*i**2 - 256*i = 0. What is i?
0, 4, 16
Factor -5*x**3/4 + 695*x**2/4 + 2155*x/2 + 1450.
-5*(x - 145)*(x + 2)*(x + 4)/4
Factor -a**3/4 - 5*a**2/4 + 2*a + 3.
-(a - 2)*(a + 1)*(a + 6)/4
Suppose 343*a**5/3 - 37142*a**4 + 3032344*a**3 - 7742960*a**2/3 + 735696*a - 69984 = 0. Calculate a.
2/7, 162
What is i in i**3/3 - 61*i**2/3 + 899*i/3 + 961/3 = 0?
-1, 31
Factor -5*f**2/6 + 695*f/6 - 115.
-5*(f - 138)*(f - 1)/6
Factor 2*b**2/9 + 1220*b/9 - 4912/9.
2*(b - 4)*(b + 614)/9
Factor a**2 - 18*a/11 - 8/11.
(a - 2)*(11*a + 4)/11
Factor 25*w**4 - 1335*w**3 + 23490*w**2 - 131220*w - 87480.
5*(w - 18)**3*(5*w + 3)
Factor -4*p**2/9 + 8*p/3 - 32/9.
-4*(p - 4)*(p - 2)/9
Factor g**5/6 - g**4/3 - 13*g**3/3 - 28*g**2/3 - 47*g/6 - 7/3.
(g - 7)*(g + 1)**3*(g + 2)/6
Factor -h**3/6 - 9*h**2/2 + 29*h/3.
-h*(h - 2)*(h + 29)/6
Find b, given that -2*b**2 + 28*b + 1152 = 0.
-18, 32
Find m, given that 4*m**4 - 308*m**3 - 316*m**2 + 308*m + 312 = 0.
-1, 1, 78
Factor -4*b**3 + 212*b**2 - 3100*b + 7500.
-4*(b - 25)**2*(b - 3)
Factor y**3 + 1173*y**2 + 458643*y 