actor -3*m**4 + 99*m**3 + 546*m**2 + 900*m + 456.
-3*(m - 38)*(m + 1)*(m + 2)**2
Factor -52*n**2/9 + 98*n/9 + 4/3.
-2*(n - 2)*(26*n + 3)/9
Factor -p**3/2 + 7*p**2 + 95*p/2.
-p*(p - 19)*(p + 5)/2
Factor -l**2/3 - 64*l/3 - 221.
-(l + 13)*(l + 51)/3
Find j such that 2*j**5/3 - 38*j**4/3 + 68*j**3/3 + 4*j**2/3 - 70*j/3 + 34/3 = 0.
-1, 1, 17
Determine g so that 3*g**3 - 7815*g**2 + 5093424*g - 5085612 = 0.
1, 1302
Factor y**3/3 - 4*y**2/3 - 3*y + 12.
(y - 4)*(y - 3)*(y + 3)/3
Find j, given that 21*j**4/8 + 195*j**3/8 + 33*j**2/8 - 195*j/8 - 27/4 = 0.
-9, -1, -2/7, 1
Factor -2*k**2/9 + 2992*k/9 - 1119008/9.
-2*(k - 748)**2/9
What is o in -5*o**3/4 + 125*o**2/4 - 130*o + 100 = 0?
1, 4, 20
Find c, given that -5*c**5 + 150*c**4 + 420*c**3 - 3320*c**2 + 3840*c = 0.
-6, 0, 2, 32
Factor -4*y**2 + 2640*y + 5296.
-4*(y - 662)*(y + 2)
Let 4*u**5 + 92*u**4 + 556*u**3 - 540*u**2 - 7776*u + 11664 = 0. What is u?
-9, 2
Let 2*i**4/5 + 8*i**3/5 + 2*i**2 + 4*i/5 = 0. What is i?
-2, -1, 0
Determine n, given that n**2/2 - 196*n/3 - 88 = 0.
-4/3, 132
Let -3*o**5/4 - 51*o**4/4 + 435*o**3/4 + 483*o**2/4 = 0. Calculate o.
-23, -1, 0, 7
Find q, given that -2*q**3 - 2*q**2 + 16*q + 24 = 0.
-2, 3
What is y in 3*y**4 - 18*y**3 + 15*y**2 = 0?
0, 1, 5
Factor 2*c**3/19 + 18*c**2/19 + 22*c/19 - 42/19.
2*(c - 1)*(c + 3)*(c + 7)/19
Factor 4*q**2 + 120*q + 900.
4*(q + 15)**2
Factor -22*x**5 + 2*x**4 + 20*x**3.
-2*x**3*(x - 1)*(11*x + 10)
Let 5*h**5 + 15*h**4 - 25*h**3 - 135*h**2 - 160*h - 60 = 0. What is h?
-2, -1, 3
Determine c so that 4*c**3/9 + 8*c**2/9 = 0.
-2, 0
Factor -u**2/4 - 569*u/2 - 1137/4.
-(u + 1)*(u + 1137)/4
Determine k, given that -2*k**2/3 - 9128*k/3 - 10415048/3 = 0.
-2282
Factor -38*w**2 + 153*w - 4.
-(w - 4)*(38*w - 1)
Factor 3*r**3 + 171*r**2 + 330*r.
3*r*(r + 2)*(r + 55)
Suppose -5*j**4/3 - 26*j**3/9 - j**2/3 + 4*j/3 + 4/9 = 0. Calculate j.
-1, -2/5, 2/3
Factor 3*o**5 + 9*o**4 - 12*o**2.
3*o**2*(o - 1)*(o + 2)**2
Solve -4*p**4 + 100*p**3 - 756*p**2 + 1628*p - 968 = 0 for p.
1, 2, 11
Find f such that -f**2 - 3841*f - 3840 = 0.
-3840, -1
Suppose 3*u**2 + 6*u = 0. Calculate u.
-2, 0
Factor -4*q**3 + 1836*q**2 - 211596*q + 209764.
-4*(q - 229)**2*(q - 1)
Factor 3*f**3 - 93*f**2 + 588*f - 828.
3*(f - 23)*(f - 6)*(f - 2)
Determine o so that 5*o**4 - 60*o**3 + 150*o**2 - 140*o + 45 = 0.
1, 9
Find d such that 3*d**3 - 3078*d**2 + 1052676*d - 120005064 = 0.
342
Factor -2*f**4/15 - 28*f**3/15.
-2*f**3*(f + 14)/15
Factor -z**4 + 84*z**3 - 2638*z**2 + 36708*z - 190969.
-(z - 23)**2*(z - 19)**2
Determine d, given that -2*d**2/9 - 26*d/9 - 80/9 = 0.
-8, -5
Factor u**2/3 - 2898*u + 6298803.
(u - 4347)**2/3
Suppose 3132*y**5 - 768*y**4 - 3116*y**3 + 768*y**2 - 16*y = 0. What is y?
-1, 0, 2/87, 2/9, 1
Factor -14*h**3 - 122*h**2 + 472*h + 1320.
-2*(h + 2)*(h + 11)*(7*h - 30)
Solve -184*k**3/7 + 24*k**2 - 30*k/7 - 4/7 = 0 for k.
-2/23, 1/2
Let -2*w**4/11 - 28*w**3/11 + 2*w**2/11 + 28*w/11 = 0. What is w?
-14, -1, 0, 1
Suppose 2*n**4/7 - 34*n**3/7 = 0. What is n?
0, 17
Let -2*n**3/3 - 2408*n**2/3 - 724808*n/3 = 0. What is n?
-602, 0
Factor 6*m**2 - 62*m + 72.
2*(m - 9)*(3*m - 4)
What is j in -3*j**5/7 + 4*j**4 - 96*j**3/7 + 146*j**2/7 - 93*j/7 + 18/7 = 0?
1/3, 1, 2, 3
Suppose -b**3/2 - 13*b**2/2 + 45*b = 0. Calculate b.
-18, 0, 5
Factor 3*o**2 - 4089*o.
3*o*(o - 1363)
Let 2*t**2/3 - 6*t + 28/3 = 0. What is t?
2, 7
Factor 3*y**3 - 21*y**2 - 12*y + 84.
3*(y - 7)*(y - 2)*(y + 2)
Solve -10*v**4 + 85*v**3 - 110*v**2 + 35*v = 0 for v.
0, 1/2, 1, 7
Find u, given that 8*u**5/11 - 6*u**4 + 2*u**3/11 + 114*u**2/11 - 10*u/11 - 48/11 = 0.
-1, -3/4, 1, 8
Factor 2*w**4 + 2736*w**3 + 5466*w**2 + 2732*w.
2*w*(w + 1)**2*(w + 1366)
Factor -2*q**3/19 - 258*q**2/19 - 510*q/19 - 254/19.
-2*(q + 1)**2*(q + 127)/19
Solve -o**4 - 12*o**3 + 161*o**2 + 12*o - 160 = 0 for o.
-20, -1, 1, 8
Factor 2*t**4/5 - 968*t**3/5 + 175692*t**2/5 - 14172488*t/5 + 428717762/5.
2*(t - 121)**4/5
Determine f, given that -8*f**2/7 - 24*f/7 - 18/7 = 0.
-3/2
Determine o, given that -o**3 + 8*o**2 - 5*o - 14 = 0.
-1, 2, 7
Solve -4*y**3 - 3388*y**2 + 6788*y - 3396 = 0 for y.
-849, 1
Factor 2*d**3 - 32*d**2/3 + 8*d + 32/3.
2*(d - 4)*(d - 2)*(3*d + 2)/3
Factor -j**5/5 - 8*j**4/5 + 19*j**3/5 - 2*j**2.
-j**2*(j - 1)**2*(j + 10)/5
Factor -2*y**2/9 + 11152*y/9 - 15545888/9.
-2*(y - 2788)**2/9
Solve 5*p**3 + 340*p**2 + 6900*p + 36000 = 0.
-30, -8
Factor 3*w**3 + 36*w**2 + 81*w.
3*w*(w + 3)*(w + 9)
Suppose -2*b**5/3 - 67*b**4/2 - 383*b**3/3 + 247*b**2/2 + 115*b/3 = 0. Calculate b.
-46, -5, -1/4, 0, 1
Factor -6*x**2/13 - 8*x/13.
-2*x*(3*x + 4)/13
Find n such that -3*n**2/4 + 237*n/4 + 903/2 = 0.
-7, 86
Find s, given that -6*s**5 + 152*s**4/5 - 286*s**3/5 + 252*s**2/5 - 104*s/5 + 16/5 = 0.
2/5, 2/3, 1, 2
Suppose 288*i**4 + 120*i**3 - 447*i**2/2 - 315*i/2 - 27 = 0. What is i?
-2/3, -3/8, 1
Factor -2*f**2 + 1224*f - 187272.
-2*(f - 306)**2
Find b, given that 2*b**4 - 4*b**3 - 6*b**2 + 8*b + 8 = 0.
-1, 2
Suppose 5*q**2 - 40*q - 45 = 0. Calculate q.
-1, 9
Factor -s**5 + 8*s**4 - 7*s**3.
-s**3*(s - 7)*(s - 1)
Factor -36*c**5 + 48*c**4 - 13*c**3 + c**2.
-c**2*(c - 1)*(6*c - 1)**2
Factor 3*p**3/2 - 27*p**2/2 + 3*p + 72.
3*(p - 8)*(p - 3)*(p + 2)/2
Factor -27*s**3/8 - 693*s**2/8 - 663*s - 2601/2.
-3*(s + 3)*(3*s + 34)**2/8
Factor -3*p**4 + 318*p**3 - 11340*p**2 + 139650*p - 128625.
-3*(p - 35)**3*(p - 1)
Find x such that -3*x**5/4 + 4*x**4 + 15*x**3 + 8*x**2 = 0.
-2, -2/3, 0, 8
Factor 49*u**5 - 182*u**4 - 55*u**3 - 4*u**2.
u**2*(u - 4)*(7*u + 1)**2
Factor 4*q**3 + 40*q**2 + 100*q.
4*q*(q + 5)**2
Let 4*m**4 + 24*m**3 - 108*m**2 - 304*m + 384 = 0. Calculate m.
-8, -3, 1, 4
Determine o, given that o**2 - 31*o + 210 = 0.
10, 21
Let 10*i**5 - 145*i**4 + 145*i**3 + 710*i**2 - 740*i - 520 = 0. What is i?
-2, -1/2, 2, 13
Determine f, given that -150*f**5/19 - 1720*f**4/19 - 4454*f**3/19 + 2124*f**2/19 + 3416*f/19 + 784/19 = 0.
-7, -14/3, -2/5, 1
Factor p**3/5 + 3*p**2.
p**2*(p + 15)/5
Determine j so that j**2 - 2912*j = 0.
0, 2912
Let -3*o**3/5 - 33*o**2/5 - 9*o/5 + 81 = 0. Calculate o.
-9, -5, 3
Factor -k**3/5 - 222*k**2/5 - 16428*k/5 - 405224/5.
-(k + 74)**3/5
Factor -f**3/6 - 76*f**2 + f/6 + 76.
-(f - 1)*(f + 1)*(f + 456)/6
Find w such that -2*w**4/17 - 106*w**3/17 - 720*w**2/17 = 0.
-45, -8, 0
Factor a**4/3 + 34*a**3/3 + 116*a**2 + 1246*a/3 + 931/3.
(a + 1)*(a + 7)**2*(a + 19)/3
Factor -4*f**4 - 3756*f**3 + 15072*f**2 - 15088*f.
-4*f*(f - 2)**2*(f + 943)
Suppose -2*b**4/9 + 14*b**2/9 - 4*b/3 = 0. Calculate b.
-3, 0, 1, 2
Solve 5*n**4 + 7*n**3 - 38*n**2 - 76*n - 24 = 0 for n.
-2, -2/5, 3
Factor q**2/7 - 34*q + 2023.
(q - 119)**2/7
Let 2*i**5 - 372*i**4 + 18722*i**3 - 132432*i**2 + 253472*i = 0. Calculate i.
0, 4, 89
Factor -2*r**2/13 + 88*r/13 + 282/13.
-2*(r - 47)*(r + 3)/13
Factor -w**3 + 250*w**2 - 15625*w.
-w*(w - 125)**2
Solve 4*r**4 - 37*r**3 + 9*r**2 = 0.
0, 1/4, 9
Let -3*l**2 - 11238*l - 10524387 = 0. Calculate l.
-1873
Find z, given that -12*z**5 - 87*z**4 + 339*z**3 + 90*z**2 = 0.
-10, -1/4, 0, 3
Factor 3*c**3/5 - 162*c**2/5 + 495*c - 1500.
3*(c - 25)**2*(c - 4)/5
Factor -99*p**3/7 + 2*p**2/7 + 99*p/7 - 2/7.
-(p - 1)*(p + 1)*(99*p - 2)/7
Factor i**3 + 854*i**2 + 182329*i.
i*(i + 427)**2
Find q, given that -2*q**4 - 42*q**3 + 342*q**2 + 458*q - 756 = 0.
-27, -2, 1, 7
Suppose 4*z**4 + 12*z**3 - 232*z**2 - 48*z + 864 = 0. What is z?
-9, -2, 2, 6
Factor 5*w**3 + 20*w**2 + 20*w.
5*w*(w + 2)**2
Factor -i**3/8 - i**2/8 + 5*i/4 - 1.
-(i - 2)*(i - 1)*(i + 4)/8
Factor 12*z**4 - 112*z**3 + 112*z**2 + 128*z.
4*z*(z - 8)*(z - 2)*(3*z + 2)
Factor 25*o**3/2 + 185*o**2/4 + 52*o + 16.
(2*o + 1)*(5*o + 8)**2/4
Find z such that -2*z**4/3 + 2*z**2/3 = 0.
-1, 0, 1
Factor -12*x**2 + 21*x - 9.
-3*(x - 1)*(4*x - 3)
Find t, given that -3*t**5 - 102*t**4 - 1188*t**3 - 5082*t**2 - 3993*t = 0.
-11, -1, 0
Suppose q**3/3 - 764*q**2/3 + 48128*q + 196608 = 0. Calculate q.
-4, 384
What is i in i**3/5 - 7*i**2/5 - i/5 + 7/5 = 0?
-1, 1, 7
What is h in -3*h**5 - 3*h**4 + 3*h**3 + 3*h**2 = 0?
-1, 0, 1
Factor z**4/3 + z**3/3 - 3*z**2 - 3*z.
z*(z - 3)*(z + 1)*(z + 3)/3
Factor -h**2/5 + 292*h/5 - 21316/5.
-(h - 146)**2/5
Solve 3*z**2 - 4*z/9 = 0 for z.
0, 4/27
Let -8*r**5 - 12*r**4 + 24*r**3 + 20*r**2 - 24*r = 0. What is r?
-2, -3/2, 0, 1
Factor 4*p**3 + 23*p**2 + 31*p + 12.
