4, 0, 7
Factor -3*f**3/7 - 54*f**2/7 + 9*f + 114/7.
-3*(f - 2)*(f + 1)*(f + 19)/7
Find h, given that 3*h**5 + 536*h**4 - 184*h**3 - 894*h**2 + 181*h + 358 = 0.
-179, -1, -2/3, 1
Determine k, given that -8*k**5 - 110*k**4 - 332*k**3 + 538*k**2 + 1456*k - 392 = 0.
-7, -2, 1/4, 2
Determine k, given that -2*k**5/9 + 4*k**4/9 + 10*k**3 + 284*k**2/9 + 344*k/9 + 16 = 0.
-2, -1, 9
Determine m so that -m**4/4 - 7*m**3/2 + 67*m**2/4 - 22*m + 9 = 0.
-18, 1, 2
Factor -2*c**5/17 + 8*c**4/17 + 4*c**3/17 - 24*c**2/17 - 18*c/17.
-2*c*(c - 3)**2*(c + 1)**2/17
Factor 4*r**2 - 988*r + 984.
4*(r - 246)*(r - 1)
Let -b**2/4 - 113*b/4 - 28 = 0. What is b?
-112, -1
Suppose -2*h**2/11 + 1132*h/11 - 160178/11 = 0. What is h?
283
Factor -4*v**4 + 28*v**3 - 28*v**2 - 60*v.
-4*v*(v - 5)*(v - 3)*(v + 1)
Let -d**3/4 + d**2/2 + d/4 - 1/2 = 0. Calculate d.
-1, 1, 2
Solve -2*n**4/7 + 150*n**3/7 - 286*n**2/7 - 438*n/7 = 0 for n.
-1, 0, 3, 73
Factor 2*s**4 + 22*s**3 - 6*s**2 - 70*s - 44.
2*(s - 2)*(s + 1)**2*(s + 11)
Factor -n**4/5 + 746*n**3/5 - 139873*n**2/5 + 277512*n/5 - 138384/5.
-(n - 372)**2*(n - 1)**2/5
Determine y so that 3*y**2 + 114*y + 408 = 0.
-34, -4
Factor -r**3/8 + 11*r**2/8 - 3*r - 9/2.
-(r - 6)**2*(r + 1)/8
Factor 2*u**2/7 + 162*u/7 + 160/7.
2*(u + 1)*(u + 80)/7
Determine c so that -2*c**3/5 - 106*c**2/5 + 108*c/5 = 0.
-54, 0, 1
What is l in 5*l**2 - 80*l + 140 = 0?
2, 14
Suppose -3*m**2 - 780*m - 50700 = 0. What is m?
-130
Determine w so that -8*w**5/11 + 546*w**4/11 + 1552*w**3/11 + 714*w**2/11 - 284*w/11 = 0.
-2, -1, 0, 1/4, 71
Factor 3*c**5 + 6*c**4 - 45*c**3 + 12*c**2 + 60*c.
3*c*(c - 2)**2*(c + 1)*(c + 5)
Solve -2*h**5/7 - 12*h**4/7 - 16*h**3/7 + 32*h**2/7 + 96*h/7 + 64/7 = 0.
-2, 2
Factor -d**3 - 6*d**2 + 25*d - 18.
-(d - 2)*(d - 1)*(d + 9)
What is z in -5*z**4 + 45*z**3 - 20*z**2 - 180*z + 160 = 0?
-2, 1, 2, 8
Find t such that -5*t**4 - 75*t**3 + 80*t**2 = 0.
-16, 0, 1
Determine d so that d**5 + 11*d**4 + 48*d**3 + 104*d**2 + 112*d + 48 = 0.
-3, -2
Suppose -49*s**5 - 168*s**4 + 157*s**3 + 152*s**2 - 108*s + 16 = 0. What is s?
-4, -1, 2/7, 1
Let p**5/3 - 12*p**4 + 68*p**3/3 = 0. What is p?
0, 2, 34
Let -v**5 - 80*v**4 - 368*v**3 + 530*v**2 + 369*v - 450 = 0. Calculate v.
-75, -6, -1, 1
Solve -4*f**5 + 16*f**4 - 16*f**3 - 8*f**2 + 20*f - 8 = 0 for f.
-1, 1, 2
Factor -3*t**5/2 + 15*t**4 + 69*t**3/2 + 18*t**2.
-3*t**2*(t - 12)*(t + 1)**2/2
What is w in w**4 + 8*w**3 - 30*w**2 + 32*w - 11 = 0?
-11, 1
Find u such that u**4/5 + 33*u**3/5 + 31*u**2/5 - 33*u/5 - 32/5 = 0.
-32, -1, 1
Find u, given that -18*u**5/5 + 994*u**4/5 + 806*u**3/5 - 1218*u**2/5 - 788*u/5 + 224/5 = 0.
-1, 2/9, 1, 56
What is q in -2*q**4/5 + 8*q**3 - 18*q**2 - 44*q + 272/5 = 0?
-2, 1, 4, 17
Determine o, given that o**4/4 - 2*o**3 + 9*o**2/2 - 4*o + 5/4 = 0.
1, 5
Factor 2*w**2/11 + 1088*w/11 + 147968/11.
2*(w + 272)**2/11
Factor j**5/3 - 34*j**3/3 + 32*j**2 - 21*j.
j*(j - 3)**2*(j - 1)*(j + 7)/3
Determine z, given that 20*z**2/7 - 12*z/7 - 8/7 = 0.
-2/5, 1
Let 15*n**3 + 835*n**2 + 11480*n - 3920 = 0. Calculate n.
-28, 1/3
Factor -y**2 - 3*y + 4.
-(y - 1)*(y + 4)
Factor 2*f**2 + 4612*f.
2*f*(f + 2306)
Solve -2*a**4/9 - 2*a**3/3 + 14*a**2/9 + 6*a + 4 = 0.
-3, -2, -1, 3
Factor -2*t**2 + 4296*t - 2306952.
-2*(t - 1074)**2
Solve 27*g**2/5 - 3*g + 2/5 = 0.
2/9, 1/3
Determine g, given that -g**3 + 15*g**2 - 26*g = 0.
0, 2, 13
Determine d so that -80*d**4/9 + 38*d**3/9 + 76*d**2/9 - 14*d/3 = 0.
-1, 0, 3/5, 7/8
Factor 3*u**3 + 12*u**2 - 111*u - 120.
3*(u - 5)*(u + 1)*(u + 8)
Suppose y**3 + y**2 = 0. What is y?
-1, 0
Factor -9*a**3/7 - 74*a**2/7 - 160*a/7 - 32/7.
-(a + 4)**2*(9*a + 2)/7
Factor 4*h**2 + 148*h - 312.
4*(h - 2)*(h + 39)
Solve -2*r**4/3 - 146*r**3/3 - 90*r**2 + 986*r/3 - 568/3 = 0 for r.
-71, -4, 1
Factor 2*d**2/15 - 76*d/3 - 256/5.
2*(d - 192)*(d + 2)/15
Factor -4*f**2 - 208*f - 2380.
-4*(f + 17)*(f + 35)
Factor 4*g**3 - 692*g**2 - 2816*g - 2832.
4*(g - 177)*(g + 2)**2
Suppose 4*t**5 + 324*t**4 + 312*t**3 - 640*t**2 = 0. Calculate t.
-80, -2, 0, 1
Factor -g**3 - 5*g**2 + 8*g + 12.
-(g - 2)*(g + 1)*(g + 6)
Factor 4*u**2 - 136*u - 444.
4*(u - 37)*(u + 3)
Solve 33*r**5/2 - 3*r**4 - 33*r**3 + 6*r**2 + 33*r/2 - 3 = 0.
-1, 2/11, 1
Factor -4*o**3 + 792*o**2 - 52272*o + 1149984.
-4*(o - 66)**3
Factor -y**4/3 - 4*y**3 - 14*y**2 - 20*y/3 + 25.
-(y - 1)*(y + 3)*(y + 5)**2/3
Let -i**5/2 + 14*i**4/3 - 9*i**3/2 - 7*i**2 + 8*i/3 = 0. What is i?
-1, 0, 1/3, 2, 8
Suppose -4*q**2/5 - 17544*q/5 - 19236996/5 = 0. Calculate q.
-2193
Let -5*p**2 - 260*p - 960 = 0. What is p?
-48, -4
Factor -25*z**4 - 30*z**3 + 91*z**2 + 120*z + 36.
-(z - 2)*(z + 2)*(5*z + 3)**2
Find f such that -98*f**5 - 1904*f**4 - 2122*f**3 + 6980*f**2 - 3288*f + 432 = 0.
-18, -3, 2/7, 1
Factor -2*o**2 - 164*o.
-2*o*(o + 82)
Determine d, given that -20*d**5 - 198*d**4 - 480*d**3 + 50*d**2 = 0.
-5, 0, 1/10
Find h, given that -3*h**3/4 + 3*h**2 + 3*h - 12 = 0.
-2, 2, 4
Factor -x**4/5 + 9*x**3/5 + 21*x**2/5 + 11*x/5.
-x*(x - 11)*(x + 1)**2/5
Factor 3*l**4 + 45*l**3 + 42*l**2.
3*l**2*(l + 1)*(l + 14)
What is l in -2*l**2/11 - 20*l/11 - 42/11 = 0?
-7, -3
Factor 3*l**4/5 - 6*l**3/5 + 3*l**2/5.
3*l**2*(l - 1)**2/5
Determine b so that -5*b**3 - 70*b**2 - 325*b - 500 = 0.
-5, -4
Solve -2*t**4/5 - 24*t**3/5 + 864*t/5 + 2592/5 = 0 for t.
-6, 6
Solve -o**4/2 - 7*o**3/4 - o**2/4 + 7*o/4 + 3/4 = 0.
-3, -1, -1/2, 1
Determine s, given that -15*s**3 + 20*s**2 + 20*s = 0.
-2/3, 0, 2
Factor -16*j**2 + 22*j + 78.
-2*(j - 3)*(8*j + 13)
Solve -70*p**3 - 505*p**2 - 105*p = 0.
-7, -3/14, 0
Factor 5*r**2 - 4700*r + 1104500.
5*(r - 470)**2
What is z in -3*z**3 + 72*z**2 + 243*z = 0?
-3, 0, 27
Let 18*b**5 - 12*b**4 - 16*b**3 + 12*b**2 - 2*b = 0. What is b?
-1, 0, 1/3, 1
Solve 3*h**2/7 - 447*h/7 + 444/7 = 0.
1, 148
Factor 54*o**4 + 36*o**3 - 24*o**2 - 16*o.
2*o*(3*o - 2)*(3*o + 2)**2
Factor 2*u**2/23 + 122*u/23 - 520/23.
2*(u - 4)*(u + 65)/23
Factor -2*h**2/5 - 96*h/5 - 1152/5.
-2*(h + 24)**2/5
Suppose -4*z**5/3 - 44*z**4/3 - 140*z**3/3 - 100*z**2/3 = 0. Calculate z.
-5, -1, 0
Find u such that 5*u**3/3 - 137*u**2/6 - 32*u - 15/2 = 0.
-1, -3/10, 15
Find x such that 2*x**3 + 2*x**2 - 120*x + 216 = 0.
-9, 2, 6
Suppose 5*j**3 - 20*j**2 + 5*j + 30 = 0. What is j?
-1, 2, 3
Factor -135*m**3 - 36*m**2 + 21*m + 6.
-3*(3*m + 1)**2*(5*m - 2)
Solve -k**3/7 + 867*k**2/7 - 250563*k/7 + 24137569/7 = 0 for k.
289
Factor 4*l**3/3 - 680*l**2 + 115600*l - 19652000/3.
4*(l - 170)**3/3
Solve 3*l**5 - 75*l**4 + 234*l**3 + 3078*l**2 + 2835*l - 6075 = 0.
-3, 1, 15
Factor 3*q**4 - 72*q**3 - 75*q**2.
3*q**2*(q - 25)*(q + 1)
Factor -35*f**2 - 27310*f - 7800.
-5*(f + 780)*(7*f + 2)
Factor -2*p**4/5 - 624*p**3/5 - 43424*p**2/5 + 818688*p/5 - 3442688/5.
-2*(p - 8)**2*(p + 164)**2/5
Solve -2*r**3/15 - 164*r**2/15 - 1034*r/15 + 80 = 0 for r.
-75, -8, 1
Solve y**5/5 + 87*y**4/5 + 2514*y**3/5 + 23606*y**2/5 - 22707*y/5 - 219501/5 = 0 for y.
-29, -3, 3
Factor -4*o**5 + 92*o**4 - 616*o**3 + 1336*o**2 - 1172*o + 364.
-4*(o - 13)*(o - 7)*(o - 1)**3
Factor 5*v**4 + 35*v**3 + 25*v**2 - 35*v - 30.
5*(v - 1)*(v + 1)**2*(v + 6)
Solve -70*m**3 - 85*m**2 - 15*m = 0 for m.
-1, -3/14, 0
Determine m, given that 3*m**5 - 24*m**4 + 18*m**3 + 120*m**2 + 75*m = 0.
-1, 0, 5
Determine x, given that 5*x**5 - 55*x**4 + 195*x**3 - 205*x**2 - 160*x + 300 = 0.
-1, 2, 3, 5
Solve -3*d**3/5 + 72*d**2/5 - 39*d + 126/5 = 0 for d.
1, 2, 21
Factor -3*y**2/5 + 6348*y/5 - 1269.
-3*(y - 2115)*(y - 1)/5
Find h, given that -h**2/5 - 4*h/5 - 4/5 = 0.
-2
Let -2*w**3/17 - 256*w**2/17 - 498*w/17 + 756/17 = 0. Calculate w.
-126, -3, 1
What is z in 2*z**5 - 4*z**4 - 24*z**3 + 80*z**2 - 64*z = 0?
-4, 0, 2
Factor -k**2 - 243*k - 242.
-(k + 1)*(k + 242)
Factor 4*r**3/5 + 24*r**2/5 + 36*r/5.
4*r*(r + 3)**2/5
Determine m so that m**3/2 + 71*m**2/2 + 399*m/2 + 585/2 = 0.
-65, -3
Determine m so that -m**3/3 + 15*m**2 + 16*m - 92/3 = 0.
-2, 1, 46
Factor c**3/2 - 19*c**2 + 120*c.
c*(c - 30)*(c - 8)/2
Find u such that 2*u**2 + 4*u - 70 = 0.
-7, 5
Solve 43*i**2/4 - 169*i/4 - 3 = 0.
-3/43, 4
Suppose -2*c**2/3 + 22*c/3 - 20/3 = 0. What is c?
1, 10
Factor -4*q**4/9 + 20*q**3/9 - 28*q**2/9 + 4*q/3.
-4*q*(q - 3)*(q - 1)**2/9
Factor 4*d**2 + 1696*d + 179776.
4*(d + 212)**2
Factor -3*n**3 + 9*n - 6.
-3*(n - 1)**2*(n + 2)
Factor f**2 - 1374*f + 471969.
(f 