*(c + 1)**2
Find w such that -3*w**4/5 - 21*w**3/5 + 57*w**2/5 + 21*w/5 - 54/5 = 0.
-9, -1, 1, 2
Factor 5*l**4 - 25*l**3 - 40*l**2 + 60*l.
5*l*(l - 6)*(l - 1)*(l + 2)
Find f, given that 507*f**2 - 4758*f + 11163 = 0.
61/13
Factor 15*q**2 - 3558*q + 711.
3*(q - 237)*(5*q - 1)
Factor 2*o**5 + 4*o**4 - 16*o**3.
2*o**3*(o - 2)*(o + 4)
Factor 4*f**4 - 32*f**3 - 132*f**2 - 16*f + 176.
4*(f - 11)*(f - 1)*(f + 2)**2
Let 3*z**3 - 21*z**2 - 255*z + 273 = 0. Calculate z.
-7, 1, 13
Find i, given that i**2 + 120*i - 756 = 0.
-126, 6
Determine d so that -16*d**3 - 748*d**2 - 548*d + 184 = 0.
-46, -1, 1/4
Suppose -16*v**4/5 + 4*v**3/5 + 64*v**2/5 - 16*v/5 = 0. What is v?
-2, 0, 1/4, 2
Let -3*i**3 + 84*i**2 - 588*i = 0. What is i?
0, 14
Find c such that 5*c**2 - 20195*c = 0.
0, 4039
Determine n so that 36*n**5/5 - 604*n**4/5 - 524*n**3 + 6108*n**2/5 - 424*n - 160 = 0.
-5, -2/9, 1, 20
Solve -4*k**3 - 8*k**2 + 80*k - 96 = 0 for k.
-6, 2
Factor -i**4/6 + 13*i**3/3 - 32*i**2 + 48*i.
-i*(i - 12)**2*(i - 2)/6
Suppose 12*w**5/7 - 44*w**4/7 - 44*w**3/7 + 108*w**2/7 + 32*w/7 - 64/7 = 0. Calculate w.
-4/3, -1, 1, 4
Determine w so that -w**5/4 + 115*w**4/4 - 559*w**3/4 + 997*w**2/4 - 193*w + 55 = 0.
1, 2, 110
Factor m**3/7 - 34*m**2/7 + 352*m/7 - 1152/7.
(m - 18)*(m - 8)**2/7
Solve 3*j**2 + 18*j - 21 = 0.
-7, 1
What is a in -22*a**5 + 28*a**4 + 144*a**3 = 0?
-2, 0, 36/11
Factor -k**4/6 + 17*k**3/2 - 15*k**2/2 - 247*k/6 - 25.
-(k - 50)*(k - 3)*(k + 1)**2/6
Let -h**2/4 + 4*h - 15/4 = 0. Calculate h.
1, 15
Factor -4*d**3/5 - 14*d**2/5 - 12*d/5.
-2*d*(d + 2)*(2*d + 3)/5
Solve -172*y**5/9 - 20*y**4 + 508*y**3/9 + 196*y**2/9 - 112*y/3 - 16/9 = 0.
-2, -1, -2/43, 1
Solve -d**3 + 34*d**2 - 289*d = 0 for d.
0, 17
Let -4*r**2/3 + 2480*r/3 - 384400/3 = 0. Calculate r.
310
Factor -5*g**5 - 70*g**4 - 335*g**3 - 730*g**2 - 740*g - 280.
-5*(g + 1)*(g + 2)**3*(g + 7)
Factor -2*l**3/7 + 244*l**2/7 - 1824*l/7.
-2*l*(l - 114)*(l - 8)/7
Factor -6*h**3 - 14*h**2 + 8.
-2*(h + 1)*(h + 2)*(3*h - 2)
Solve 2*x**5/7 + 8*x**4/7 - 32*x**2/7 - 32*x/7 = 0.
-2, 0, 2
Factor 2*c**4/7 - 58*c**3/7 - 2*c**2/7 + 58*c/7.
2*c*(c - 29)*(c - 1)*(c + 1)/7
Factor s**2 + 92*s - 285.
(s - 3)*(s + 95)
Let -3*l**3 - 1863*l**2 - 1854*l + 3720 = 0. Calculate l.
-620, -2, 1
Factor k**3/6 + 34*k**2/3 + 22*k.
k*(k + 2)*(k + 66)/6
Factor 2*a**3/5 - 312*a**2/5 + 12474*a/5 - 23716/5.
2*(a - 77)**2*(a - 2)/5
Factor -g**4 - 40*g**3 - 399*g**2 + 40*g + 400.
-(g - 1)*(g + 1)*(g + 20)**2
What is c in 2*c**2 + 28*c - 190 = 0?
-19, 5
Factor 4*g**3 - 920*g**2 + 53808*g - 103968.
4*(g - 114)**2*(g - 2)
What is c in -14*c**4/13 + 16*c**3/13 + 90*c**2/13 - 172*c/13 + 80/13 = 0?
-20/7, 1, 2
Factor 2*n**5 + 104*n**4 + 396*n**3 + 584*n**2 + 386*n + 96.
2*(n + 1)**4*(n + 48)
Solve -2*a**3/3 + 404*a**2/15 - 778*a/15 + 128/5 = 0.
1, 192/5
Factor 5*k**3 + 70*k**2 - 20*k - 280.
5*(k - 2)*(k + 2)*(k + 14)
Factor 59*h**4 + 180*h**3 + 186*h**2 + 68*h + 3.
(h + 1)**3*(59*h + 3)
Suppose 2*q**2/9 + 1124*q/3 + 3370/9 = 0. What is q?
-1685, -1
Let 21*d**5/4 + 15*d**4/2 + 9*d**3/4 = 0. What is d?
-1, -3/7, 0
Factor x**5 + 4*x**4 + 3*x**3 - 4*x**2 - 4*x.
x*(x - 1)*(x + 1)*(x + 2)**2
Factor -2*l**4 - 274*l**3 - 8670*l**2 + 49274*l - 40328.
-2*(l - 4)*(l - 1)*(l + 71)**2
Factor p**5/5 - 44*p**4/5 + 17*p**3 - 42*p**2/5.
p**2*(p - 42)*(p - 1)**2/5
Factor u**2/5 - 5*u + 66/5.
(u - 22)*(u - 3)/5
Factor 2*f**2 + 2278*f + 2276.
2*(f + 1)*(f + 1138)
Factor -2*u**3/3 + 34*u**2/3 - 88*u/3 + 56/3.
-2*(u - 14)*(u - 2)*(u - 1)/3
Suppose 11858*g**2/5 - 1232*g/5 + 32/5 = 0. What is g?
4/77
Determine v, given that -12*v**2/7 - 255*v/7 + 198/7 = 0.
-22, 3/4
Let -2*v**2/7 - 1124*v - 7866/7 = 0. What is v?
-3933, -1
Determine q, given that -q**2/4 + 35*q/2 - 201/4 = 0.
3, 67
Factor -4*c**3/3 - 5*c**2 + c/3 + 10.
-(c + 2)*(c + 3)*(4*c - 5)/3
Determine h, given that -h**5 - 20*h**4 + 27*h**3 + 122*h**2 - 92*h - 168 = 0.
-21, -2, -1, 2
Suppose r**3/4 - 81*r**2/4 + 303*r/4 + 385/4 = 0. What is r?
-1, 5, 77
Suppose 3*i**5/4 + 63*i**4/4 - 213*i**3/4 + 81*i**2/4 + 105*i/2 - 36 = 0. What is i?
-24, -1, 1, 2
Determine o so that o**2 + 12*o + 32 = 0.
-8, -4
Factor -3*k**3 - 126*k**2 + 129*k.
-3*k*(k - 1)*(k + 43)
Factor 5*g**3/3 + 15770*g**2/3 + 12434645*g/3.
5*g*(g + 1577)**2/3
Factor a**4/3 - 10*a**3/3 + 11*a**2 - 40*a/3 + 16/3.
(a - 4)**2*(a - 1)**2/3
Find g, given that g**5/2 + 10*g**4 + 25*g**3/2 - 355*g**2 + 910*g - 676 = 0.
-13, 2
Factor -4*k**2 - 160*k - 1600.
-4*(k + 20)**2
Suppose -6*v**4 - 14*v**3 - 6*v**2 + 6*v + 4 = 0. Calculate v.
-1, 2/3
Find v, given that 2*v**5/9 + 16*v**4/9 - 88*v**3/9 - 148*v**2/3 + 70*v + 300 = 0.
-10, -3, 3, 5
Solve 2*g**2 + 14*g - 60 = 0 for g.
-10, 3
Solve 2*y**4/3 + 10*y**3/3 - 12*y**2 - 256*y/3 - 320/3 = 0 for y.
-4, -2, 5
What is f in -3*f**2 - 34344*f - 98292528 = 0?
-5724
Let -44*o**5 + 324*o**4 + 1120*o**3 + 432*o**2 - 320*o = 0. Calculate o.
-2, -1, 0, 4/11, 10
Solve 4*m**5 - 4*m**4 - 40*m**3 - 32*m**2 = 0 for m.
-2, -1, 0, 4
Factor w**2/3 + 7*w/3 + 2.
(w + 1)*(w + 6)/3
Factor 3*p**4 + 54*p**3 + 291*p**2 + 432*p + 192.
3*(p + 1)**2*(p + 8)**2
Find o such that -4*o**5 + 8*o**4 + 768*o**3 - 5632*o**2 + 8192*o = 0.
-16, 0, 2, 8
Find g such that 3*g**5 - 27*g**4 - 9*g**3 + 75*g**2 + 54*g = 0.
-1, 0, 2, 9
Factor 3*d**2/2 + 111*d/2 + 378.
3*(d + 9)*(d + 28)/2
Suppose 4*z**4 + 36*z**3 - 304*z - 384 = 0. Calculate z.
-8, -2, 3
Determine q, given that q**4/2 - 128*q**3 - 6435*q**2 - 99900*q - 1015875/2 = 0.
-15, 301
Factor 5*q**2 - 45*q - 110.
5*(q - 11)*(q + 2)
Determine j so that 9*j**5 - 8493*j**4 + 2010667*j**3 - 3297483*j**2 - 7087608*j - 2662092 = 0.
-2/3, 3, 471
What is c in -2*c**4/9 - 20*c**3/9 - 14*c**2/3 + 8*c/9 + 56/9 = 0?
-7, -2, 1
Factor 3*i**3/4 + 12*i**2 + 39*i + 36.
3*(i + 2)**2*(i + 12)/4
Determine j, given that j**2/4 - 10*j - 41/4 = 0.
-1, 41
Determine l, given that -3*l**3 - 3*l**2 + 6*l = 0.
-2, 0, 1
Solve 3*z**3 - 183*z**2 - 1608*z - 3312 = 0 for z.
-4, 69
Factor -2*m**3/11 - 2*m**2/11 + 24*m/11.
-2*m*(m - 3)*(m + 4)/11
Suppose -2*x**5/5 + 2*x**4/5 + 4*x**3 - 4*x**2 - 18*x/5 + 18/5 = 0. What is x?
-3, -1, 1, 3
Determine a, given that 4*a**4 - 40*a**3 - 144*a**2 - 152*a - 52 = 0.
-1, 13
Solve 3*b**3 - 1587*b**2 - 3186*b = 0.
-2, 0, 531
Factor l**4/6 - 23*l**3/6 + 29*l**2/2 + 611*l/6 - 338/3.
(l - 13)**2*(l - 1)*(l + 4)/6
Find p such that -5*p**3 - 105*p**2 + 225*p - 115 = 0.
-23, 1
Determine j, given that 4*j**3 + 752*j**2 + 9940*j + 34104 = 0.
-174, -7
Suppose 3*l**4 + 33*l**3 + 108*l**2 + 108*l = 0. What is l?
-6, -3, -2, 0
Determine n so that -3*n**5/8 - 5*n**4/8 + 31*n**3/4 - 23*n**2/2 + 3*n = 0.
-6, 0, 1/3, 2
Factor 15*a**2 + 10*a - 5.
5*(a + 1)*(3*a - 1)
Let -2*v**5/5 - 22*v**4/5 - 10*v**3 + 62*v**2/5 + 124*v/5 - 112/5 = 0. Calculate v.
-7, -4, -2, 1
Suppose -4*n**2 - 232*n + 992 = 0. What is n?
-62, 4
Find i such that -3*i**3/4 - 27*i**2/4 + 9*i + 15 = 0.
-10, -1, 2
Solve -2*s**5/9 - 30*s**4 - 8698*s**3/9 + 9338*s**2/3 - 2116*s = 0.
-69, 0, 1, 2
Solve -s**3 - 12*s**2 + 13*s = 0.
-13, 0, 1
Determine z so that 3*z**2 - 27*z + 60 = 0.
4, 5
Determine k, given that -3*k**4/5 - 3*k**3/5 + 9*k**2/5 + 3*k + 6/5 = 0.
-1, 2
Suppose -2*z**5/3 - 2084*z**4/3 - 180960*z**3 + 2084*z**2/3 + 542882*z/3 = 0. What is z?
-521, -1, 0, 1
Factor 3*t**2 + 36*t - 39.
3*(t - 1)*(t + 13)
Find d such that d**3/5 - 2497*d**2/5 + 1557503*d/5 + 1560001/5 = 0.
-1, 1249
Factor 5*k**5 + 35*k**4 + 25*k**3 - 35*k**2 - 30*k.
5*k*(k - 1)*(k + 1)**2*(k + 6)
Determine c, given that -32*c**5 - 912*c**4 - 8178*c**3 - 18140*c**2 + 42600*c - 18000 = 0.
-10, 3/4
Solve 2*j**5/5 - 2*j**4/5 - 6*j**3/5 + 2*j**2 - 4*j/5 = 0 for j.
-2, 0, 1
Solve -2*t**5/13 - 32*t**4/13 + 158*t**3/13 - 4*t**2 - 240*t/13 = 0 for t.
-20, -1, 0, 2, 3
Solve -52*w**5 - 112*w**4 + 192*w**3 + 136*w**2 - 140*w - 24 = 0 for w.
-3, -1, -2/13, 1
Factor 23*g**2/2 + 162*g + 14.
(g + 14)*(23*g + 2)/2
Factor -m**2 + 28*m - 27.
-(m - 27)*(m - 1)
Factor -b**2/5 + 3423*b/5 - 3422/5.
-(b - 3422)*(b - 1)/5
Factor 98*t**5/17 - 126*t**4/17 - 138*t**3/17 + 190*t**2/17 + 48*t/17 - 72/17.
2*(t - 1)**3*(7*t + 6)**2/17
Solve 2*s**4/9 - 6*s**3 + 40*s**2/9 + 104*s/3 = 0.
-2, 0, 3, 26
Suppose 6*l**5 + 4*l**4 - 8*l**3 - 4*l**2 + 2*l = 0. What is l?
-1, 0, 1/3, 1
Factor -2*h**3/13 + 2*h**2/13 + 8*h/13 - 8/13.
-