268*k + 68 = 0.
-17, 1
Factor 3*y**3 - 297*y**2 + 9801*y - 107811.
3*(y - 33)**3
Let p**2 - 197*p + 196 = 0. Calculate p.
1, 196
Factor -2*g**4/11 - 6*g**3/11 + 8*g/11.
-2*g*(g - 1)*(g + 2)**2/11
Find w such that -3*w**4/2 + 6*w**3 - 9*w**2/2 = 0.
0, 1, 3
Factor 55*u**3 - 430*u**2 + 215*u + 700.
5*(u - 7)*(u + 1)*(11*u - 20)
Solve -k**4 + 3*k**3 + 6*k**2 - 8*k = 0 for k.
-2, 0, 1, 4
Find i, given that 4*i**2 + 26872*i + 45131524 = 0.
-3359
Determine s, given that 128*s**5/7 + 96*s**4/7 - 542*s**3/7 - 382*s**2/7 + 120*s/7 - 8/7 = 0.
-2, -1, 1/8, 2
Suppose -j**3/3 + 18*j**2 - 324*j + 1944 = 0. What is j?
18
Factor -3*v**2/5 - 47*v/5 + 16/5.
-(v + 16)*(3*v - 1)/5
Factor -2*h**4/7 + 484*h**3/7 - 28794*h**2/7 - 59048*h/7 - 29768/7.
-2*(h - 122)**2*(h + 1)**2/7
Factor 5*z**2 + 2360*z - 2365.
5*(z - 1)*(z + 473)
Let p**3 + 15*p**2 + 32*p - 132 = 0. What is p?
-11, -6, 2
Factor 2*a**4 - 118*a**3 + 2320*a**2 - 15200*a.
2*a*(a - 20)**2*(a - 19)
Factor -z**2 - 3*z - 2.
-(z + 1)*(z + 2)
Factor 2*b**3/5 + 26*b**2/5 + 46*b/5 + 22/5.
2*(b + 1)**2*(b + 11)/5
Determine c, given that 18*c**4/13 - 98*c**3/13 + 74*c**2/13 + 258*c/13 - 252/13 = 0.
-14/9, 1, 3
Find y, given that y**2/6 - 35*y/3 - 24 = 0.
-2, 72
Factor -s**4 + 6*s**3 - 11*s**2 + 6*s.
-s*(s - 3)*(s - 2)*(s - 1)
Factor 2*j**2/11 + 592*j/11 - 3010/11.
2*(j - 5)*(j + 301)/11
Factor 4*r**2 - 1776*r - 1780.
4*(r - 445)*(r + 1)
Factor 4*q**2 + 52*q + 48.
4*(q + 1)*(q + 12)
Factor -6*i**3/11 - 78*i**2/11 + 540*i/11.
-6*i*(i - 5)*(i + 18)/11
Determine h, given that 3*h**4 - 306*h**3 - 621*h**2 - 312*h = 0.
-1, 0, 104
Factor y**4 + 11*y**3 + 42*y**2 + 64*y + 32.
(y + 1)*(y + 2)*(y + 4)**2
What is d in 4*d**3/7 - 78*d**2/7 + 110*d/7 - 36/7 = 0?
1/2, 1, 18
Let -f**4/5 + f**3 - 4*f**2/5 = 0. What is f?
0, 1, 4
Determine d, given that -4*d**2/7 - 1020*d/7 = 0.
-255, 0
Let 7*o**3 - 39*o**2 + 17*o + 15 = 0. What is o?
-3/7, 1, 5
Factor -105*r**2 - 10*r.
-5*r*(21*r + 2)
Factor 2*k**3 + 216*k**2 + 7776*k + 93312.
2*(k + 36)**3
Factor -3*l**3 - 12*l**2 + 180*l + 864.
-3*(l - 8)*(l + 6)**2
Suppose k**5/3 - 4*k**4 - 67*k**3/3 + 34*k**2/3 + 72*k + 128/3 = 0. Calculate k.
-4, -1, 2, 16
What is j in -j**4/7 - 3*j**3/7 + 2*j**2/7 + 12*j/7 + 8/7 = 0?
-2, -1, 2
Factor -1323*h**4/5 + 1638*h**3 - 13431*h**2/5 + 468*h - 108/5.
-3*(h - 3)**2*(21*h - 2)**2/5
Find n, given that 3*n**3 - 2364*n**2/5 - 3333*n/5 - 954/5 = 0.
-1, -2/5, 159
Let 5*d**5 - 35*d**4 - 105*d**3 + 395*d**2 + 940*d + 480 = 0. What is d?
-3, -1, 4, 8
Factor -2*a**5/7 + 34*a**4/7 - 160*a**3/7 + 128*a**2/7.
-2*a**2*(a - 8)**2*(a - 1)/7
What is a in 2*a**5/13 - 366*a**4/13 - 1122*a**3/13 + 1094*a**2/13 + 4080*a/13 + 2232/13 = 0?
-3, -1, 2, 186
Factor -r**2/2 - 49*r - 276.
-(r + 6)*(r + 92)/2
Factor -3*z**2 - 267*z - 4284.
-3*(z + 21)*(z + 68)
Factor -w**4/7 - 55*w**3/7 - 54*w**2/7.
-w**2*(w + 1)*(w + 54)/7
Factor 4*d**2 + 864*d + 46656.
4*(d + 108)**2
Factor 242*s**4 + 3476*s**3 + 13098*s**2 + 4424*s + 392.
2*(s + 7)**2*(11*s + 2)**2
Solve -2*z**4 - 2*z**3 + 36*z**2 + 32*z - 64 = 0.
-4, -2, 1, 4
Factor -2*z**4/3 + 4*z**3 + 14*z**2/3.
-2*z**2*(z - 7)*(z + 1)/3
What is q in -3*q**3/7 + 72*q**2/7 - 243*q/7 - 114 = 0?
-2, 7, 19
Let -3*s**5/4 + 153*s**4/4 + 159*s**3/2 + 3*s**2/2 - 315*s/4 - 159/4 = 0. Calculate s.
-1, 1, 53
Factor -3*v**2/2 - 3*v + 9/2.
-3*(v - 1)*(v + 3)/2
Factor -28*q**3 - 540*q**2 + 408*q + 160.
-4*(q - 1)*(q + 20)*(7*q + 2)
Find j, given that j**2 - 6*j + 8 = 0.
2, 4
Let 3*y**5 + 63*y**4 + 213*y**3 + 141*y**2 - 216*y - 204 = 0. Calculate y.
-17, -2, -1, 1
What is h in -h**2 - 2*h + 3 = 0?
-3, 1
Factor 20*n**4/3 - 1906*n**3/3 - 958*n**2/3.
2*n**2*(2*n + 1)*(5*n - 479)/3
Suppose -3*i**2 - 30*i - 63 = 0. What is i?
-7, -3
Factor -33*l**2 + 327*l + 30.
-3*(l - 10)*(11*l + 1)
Determine o so that 2*o**5/21 - 2*o**4/21 - 2*o**3/7 + 10*o**2/21 - 4*o/21 = 0.
-2, 0, 1
Find i such that i**4/6 - i**3/2 - 3*i**2 - 2*i/3 + 4 = 0.
-2, 1, 6
Solve -6*o**5/5 + 552*o**4 + 2784*o**3/5 - 8292*o**2/5 - 2778*o/5 + 5532/5 = 0.
-2, -1, 1, 461
Determine y so that 3*y**3/2 + 978*y**2 - 7896*y + 15840 = 0.
-660, 4
Find v such that 4*v**3/3 + 396*v**2 + 39204*v + 1293732 = 0.
-99
Factor 9*u**3 - 831*u**2 + 18760*u + 19600.
(u + 1)*(3*u - 140)**2
Suppose 90*d**2 - 276*d + 1058/5 = 0. What is d?
23/15
Solve 5*y**5 + 80*y**4/3 + 115*y**3/3 - 10*y**2 - 140*y/3 - 40/3 = 0.
-2, -1/3, 1
Factor l**4 - 258*l**3 + 12321*l**2 + 557280*l + 4665600.
(l - 144)**2*(l + 15)**2
Solve -5*r**3 + 290*r**2 - 1695*r - 4590 = 0.
-2, 9, 51
Factor 55*t**2 + 280*t + 25.
5*(t + 5)*(11*t + 1)
Let -u**2 + 8086*u - 16345849 = 0. Calculate u.
4043
Suppose i**4/5 + i**3 + 8*i**2/5 + 4*i/5 = 0. What is i?
-2, -1, 0
Factor 3*g**2 - 33*g + 30.
3*(g - 10)*(g - 1)
Factor -2*a**4/3 + 6424*a**3/3 - 5158472*a**2/3.
-2*a**2*(a - 1606)**2/3
Factor 5*x**4/3 + 10*x**3/3 - 5*x**2/3 - 10*x/3.
5*x*(x - 1)*(x + 1)*(x + 2)/3
Suppose -4*b**5 + 4*b**4 + 4*b**3 - 4*b**2 = 0. Calculate b.
-1, 0, 1
Find b such that -4*b**3/9 - 176*b**2 - 1044*b - 1560 = 0.
-390, -3
Find m, given that 50*m**4 + 120*m**3 + 42*m**2 + 4*m = 0.
-2, -1/5, 0
Factor 4*w**2 + 128*w + 1024.
4*(w + 16)**2
Suppose 9*k**4/4 + 39*k**3/2 + 39*k**2/4 - 39*k/2 - 12 = 0. Calculate k.
-8, -1, -2/3, 1
What is p in -2*p**5/17 + 10*p**3/17 - 8*p/17 = 0?
-2, -1, 0, 1, 2
Find w such that 4*w**3/7 - 3*w**2 + 2*w + 24/7 = 0.
-3/4, 2, 4
Let -5*a**3 + 1010*a**2 - 2005*a + 1000 = 0. Calculate a.
1, 200
Factor 2*o**4 + 2*o**3 - 18*o**2 - 18*o.
2*o*(o - 3)*(o + 1)*(o + 3)
Solve -4*z**3 + 60*z**2 = 0.
0, 15
What is u in 5*u**2 - 24010*u + 28824005 = 0?
2401
Factor 22*h**3/7 - 56*h**2 + 1710*h/7 + 324/7.
2*(h - 9)**2*(11*h + 2)/7
Determine k, given that 7*k**4 - 9*k**3 - 12*k**2 + 4*k = 0.
-1, 0, 2/7, 2
Factor 5*x**3 + 945*x**2.
5*x**2*(x + 189)
Factor -2*q**3 + 72*q**2 + 2*q - 72.
-2*(q - 36)*(q - 1)*(q + 1)
Find d such that 5*d**4/6 + 175*d**3/6 - 115*d**2 - 2080*d/3 + 7600/3 = 0.
-38, -5, 4
Find d such that -3*d**5/4 - 3*d**4/2 + 6*d**3 - 3*d**2/2 - 21*d/4 + 3 = 0.
-4, -1, 1
Factor 2*d**2/13 + 212*d/13 + 5618/13.
2*(d + 53)**2/13
Factor 352*t**3 + 208*t**2 + 38*t + 2.
2*(4*t + 1)**2*(11*t + 1)
Let 25*k**3/2 - 515*k**2/4 + 55*k + 245/4 = 0. Calculate k.
-1/2, 1, 49/5
Factor -5*k**2 - 875*k - 3420.
-5*(k + 4)*(k + 171)
Let p**5 + 16*p**4 + 64*p**3 = 0. What is p?
-8, 0
Suppose -2*h**4 + 40*h**3 + 86*h**2 + 44*h = 0. Calculate h.
-1, 0, 22
Factor x**4 + 11*x**3 - 80*x**2.
x**2*(x - 5)*(x + 16)
Factor 3*h**5 + h**4 - 9*h**3 - 9*h**2 - 2*h.
h*(h - 2)*(h + 1)**2*(3*h + 1)
Find q, given that -q**4/2 + 23*q**3 - 370*q**2 + 2353*q - 8619/2 = 0.
3, 13, 17
Factor 2*f**4 - 298*f**3 + 3384*f**2 - 13280*f + 17536.
2*(f - 137)*(f - 4)**3
Suppose -8*m**4 + 20*m**3 - 20*m + 8 = 0. Calculate m.
-1, 1/2, 1, 2
Factor -5*g**4 + 6225*g**3 + 12470*g**2.
-5*g**2*(g - 1247)*(g + 2)
Factor 3*x**3 + 93*x**2 - 96*x.
3*x*(x - 1)*(x + 32)
Determine r so that 5*r**5 + 55*r**4 + 230*r**3 + 450*r**2 + 405*r + 135 = 0.
-3, -1
Determine f, given that 3*f**5/2 - 177*f**4 + 9699*f**3/2 + 22326*f**2 = 0.
-4, 0, 61
Find n, given that n**3 - 76*n**2 - 405*n = 0.
-5, 0, 81
Factor 3*o**4/7 + 3372*o**3/7 - 10134*o**2/7 + 10140*o/7 - 483.
3*(o - 1)**3*(o + 1127)/7
Find p, given that 10*p**4 - 328*p**3 + 14988*p**2/5 - 25256*p/5 + 11858/5 = 0.
1, 77/5
Determine y so that 5*y**3 - 925*y**2 = 0.
0, 185
Factor 3*z**2/7 - 24*z/7 + 36/7.
3*(z - 6)*(z - 2)/7
Factor -2*u**3 + 400*u**2 - 20000*u.
-2*u*(u - 100)**2
Solve -36*v**4 + 2208*v**3 + 16172*v**2 + 10040*v + 1632 = 0 for v.
-6, -1/3, 68
Determine r so that 3*r**3/7 + 33*r**2/7 - 54*r/7 - 216/7 = 0.
-12, -2, 3
Factor -9*n**3 - 39*n**2 - 24*n + 36.
-3*(n + 2)*(n + 3)*(3*n - 2)
Factor -f**5 - 5*f**4 + 6*f**3 + 22*f**2 - 37*f + 15.
-(f - 1)**3*(f + 3)*(f + 5)
Solve 3*s**5/5 + 319*s**4/5 + 8533*s**3/5 + 2809*s**2/5 = 0.
-53, -1/3, 0
Factor -2*p**3 - 6*p**2 + 8*p + 24.
-2*(p - 2)*(p + 2)*(p + 3)
Determine y so that -3*y**4 - 294*y**3 - 8019*y**2 - 39468*y - 31740 = 0.
-46, -5, -1
Determine k, given that -5*k**2 + 3770*k = 0.
0, 754
Factor 2*k**3/15 + 8*k**2/3 + 64*k/5.
2*k*(k + 8)*(k + 12)/15
Factor -8*o**2 - 100*o - 92.
-4*(o + 1)*(2*o + 23)
What is o in -25*o**4 - 2590*o**3 + 3665*o**2 - 1050*o = 0?
-105, 0, 2/5, 1
Factor -5*l**5 - 130*l**4 + 570*l**3 - 880*l**2 + 595*l 