, -2/7, 2/7
Factor -16*j**2/5 + 8*j - 5.
-(4*j - 5)**2/5
Factor 2*h**3/3 + 92*h**2/3 + 86*h/3 - 60.
2*(h - 1)*(h + 2)*(h + 45)/3
Factor 2*b**3 - 1912*b**2 + 455050*b + 917764.
2*(b - 479)**2*(b + 2)
Factor 4*k**4/3 - 8*k**3 + 128*k/3.
4*k*(k - 4)**2*(k + 2)/3
Factor 2*x**5/19 + 40*x**4/19 + 104*x**3/19 - 960*x**2/19 + 1152*x/19.
2*x*(x - 2)**2*(x + 12)**2/19
Find s such that -s**5/10 - 17*s**4/5 - 222*s**3/5 - 1377*s**2/5 - 8019*s/10 - 4374/5 = 0.
-9, -4, -3
Suppose -h**4 + 656*h**3 - 143226*h**2 + 10359576*h + 10503459 = 0. Calculate h.
-1, 219
Factor -3*r**2/4 + 12*r.
-3*r*(r - 16)/4
Factor w**4 + 71*w**3 + 779*w**2 - 18491*w.
w*(w - 11)*(w + 41)**2
Factor g**2 + 1346*g + 452929.
(g + 673)**2
Determine a so that 5*a**2 + 135*a + 910 = 0.
-14, -13
Suppose 3*k**5/5 + 3*k**4/5 - 42*k**3/5 + 78*k**2/5 - 57*k/5 + 3 = 0. What is k?
-5, 1
Factor -m**3/3 + 2*m**2/3 + 119*m/3 - 196.
-(m - 7)**2*(m + 12)/3
Factor -8*b**3/9 + 182*b**2/9 + 46*b/9.
-2*b*(b - 23)*(4*b + 1)/9
Factor -3*n**2/7 + 9*n - 162/7.
-3*(n - 18)*(n - 3)/7
Let z**2/6 - 215*z/6 + 71 = 0. What is z?
2, 213
Factor -4*m**2/3 - 140*m/3 + 48.
-4*(m - 1)*(m + 36)/3
Find k, given that k**3 - 2967*k**2 + 2934363*k - 967361669 = 0.
989
Find p such that 20*p**4/9 + 178*p**3/9 + 58*p**2 + 54*p - 6 = 0.
-3, 1/10
Suppose -m**2/7 + 6746*m/7 - 11377129/7 = 0. Calculate m.
3373
Find j, given that 4*j**3 - 125*j**2/4 + 58*j + 12 = 0.
-3/16, 4
Find f such that -4*f**3/9 + 1616*f**2/9 - 161588*f/9 - 329672/9 = 0.
-2, 203
Factor -4*h**3 + 48*h + 64.
-4*(h - 4)*(h + 2)**2
What is q in -2*q**4 - 30*q**3 + 32*q**2 = 0?
-16, 0, 1
Find y such that -2*y**3/5 - 4*y**2/5 + 8*y/5 + 16/5 = 0.
-2, 2
Factor 18*w**4/7 - 885*w**3/7 + 21*w**2.
3*w**2*(w - 49)*(6*w - 1)/7
Factor 5*q**3/2 - 165*q**2/2 + 595*q/2 - 435/2.
5*(q - 29)*(q - 3)*(q - 1)/2
Factor 4*i**5 + 12*i**4 + 4*i**3 - 12*i**2 - 8*i.
4*i*(i - 1)*(i + 1)**2*(i + 2)
Determine a so that -2*a**4 + 10*a**3 + 2*a**2 - 10*a = 0.
-1, 0, 1, 5
Find h such that -2*h**5/5 - 98*h**4/5 - 178*h**3 + 8802*h**2/5 + 20412*h/5 = 0.
-27, -2, 0, 7
Factor 8*y**5 + 5*y**4 - 27*y**3 - 31*y**2 - y + 6.
(y - 2)*(y + 1)**3*(8*y - 3)
Suppose 4*l**2 - 52*l + 168 = 0. Calculate l.
6, 7
Factor -2*o**4/17 + 18*o**3/17 - 48*o**2/17 + 32*o/17.
-2*o*(o - 4)**2*(o - 1)/17
Let 2*i**5/3 - 4*i**4/3 - 14*i**3 - 12*i**2 = 0. Calculate i.
-3, -1, 0, 6
Find q such that 5*q**4/6 + 683*q**3/6 + 66*q**2 - 814*q/3 + 272/3 = 0.
-136, -2, 2/5, 1
Factor 3*w**2 + 612*w + 1809.
3*(w + 3)*(w + 201)
Suppose 2*b**5/5 + 2*b**4/5 - 134*b**3/5 - 386*b**2/5 - 252*b/5 = 0. Calculate b.
-7, -2, -1, 0, 9
Let 268*q**5 + 528*q**4 - 820*q**3 - 2120*q**2 - 1008*q + 32 = 0. Calculate q.
-2, -1, 2/67, 2
Factor -4*w**4 - 136*w**3 + 148*w**2 + 280*w.
-4*w*(w - 2)*(w + 1)*(w + 35)
Factor -5*m**4 + 10850*m**3 - 5896965*m**2 + 11761400*m - 5875280.
-5*(m - 1084)**2*(m - 1)**2
Factor -3*o**2 + 15*o + 18.
-3*(o - 6)*(o + 1)
Factor -2*y**3/17 + 500*y**2/17 - 30744*y/17 - 63504/17.
-2*(y - 126)**2*(y + 2)/17
Factor -10*i**3 - 395*i**2 - 195*i.
-5*i*(i + 39)*(2*i + 1)
Factor h**2/8 + 109*h/4.
h*(h + 218)/8
Determine a so that -a**4/2 - 167*a**3/2 + 84*a**2 = 0.
-168, 0, 1
Factor -5*f**5/2 + 25*f**4/2 - 15*f**3 - 10*f**2 + 20*f.
-5*f*(f - 2)**3*(f + 1)/2
Factor 3*a**5 + 30*a**4 + 75*a**3 - 60*a**2 - 240*a + 192.
3*(a - 1)**2*(a + 4)**3
Find d, given that -2*d**2/11 - 846*d/11 - 1684/11 = 0.
-421, -2
Factor -p**5/4 + 5*p**4/4 - 2*p**3 + p**2.
-p**2*(p - 2)**2*(p - 1)/4
Factor -375*h**4/2 - 825*h**3/2 - 315*h**2 - 102*h - 12.
-3*(h + 1)*(5*h + 2)**3/2
Solve 4*c**2 - 5568*c + 1937664 = 0.
696
Factor 15*i**3 - 8345*i**2 + 2770*i + 5560.
5*(i - 556)*(i - 1)*(3*i + 2)
Factor 2*y**3/7 + 8*y**2/7 - 150*y/7 - 108.
2*(y - 9)*(y + 6)*(y + 7)/7
Factor -4*j**4/5 - 12*j**3/5 + 20*j**2 - 84*j/5.
-4*j*(j - 3)*(j - 1)*(j + 7)/5
Suppose -2*c**4 + 12*c**3 - 14*c**2 - 12*c + 16 = 0. What is c?
-1, 1, 2, 4
Factor q**5 - 12*q**4 - 109*q**3 + 2104*q**2 - 8640*q + 6656.
(q - 8)**3*(q - 1)*(q + 13)
Factor b**3/6 + 227*b**2 + 103058*b + 46788332/3.
(b + 454)**3/6
Factor p**3 + 3*p**2 - 16*p + 12.
(p - 2)*(p - 1)*(p + 6)
Factor a**2 + 37*a.
a*(a + 37)
Factor -3*k**4 + 1362*k**3 - 153216*k**2 - 311904*k.
-3*k*(k - 228)**2*(k + 2)
Factor 466*o**2/7 - 40*o/7.
2*o*(233*o - 20)/7
Factor 2*y**2 + 92*y + 410.
2*(y + 5)*(y + 41)
Suppose -3*t**2 + 102*t - 819 = 0. What is t?
13, 21
Determine u, given that 2*u**2/9 - 100*u/9 + 98/9 = 0.
1, 49
Let 4*s**3/7 + 24*s**2/7 + 48*s/7 + 32/7 = 0. What is s?
-2
Determine u, given that -28*u**3 - 54*u**2 - 20*u = 0.
-10/7, -1/2, 0
Let -4*d**2 + 348*d - 1640 = 0. What is d?
5, 82
Determine n, given that 3*n**5 + 12*n**4 - 9*n**3 - 54*n**2 = 0.
-3, 0, 2
Suppose j**2 - 492*j - 493 = 0. What is j?
-1, 493
Factor 2*y**4 - 2*y**2.
2*y**2*(y - 1)*(y + 1)
Suppose -4*z**5 - 280*z**4 - 4900*z**3 = 0. Calculate z.
-35, 0
Factor 2*h**4/3 + 2*h**3/3 - 8*h**2/3 - 8*h/3.
2*h*(h - 2)*(h + 1)*(h + 2)/3
Factor 2*r**2 + 50*r - 168.
2*(r - 3)*(r + 28)
What is b in -4*b**5/9 - 820*b**4/9 - 40780*b**3/9 + 127300*b**2/9 - 128960*b/9 + 43264/9 = 0?
-104, 1
Factor 2*f**4/3 + 28*f**3/3 + 106*f**2/3 + 152*f/3 + 24.
2*(f + 1)*(f + 2)**2*(f + 9)/3
Solve -h**2/4 + 45*h/2 = 0 for h.
0, 90
Determine h so that -122*h**2 + 268*h - 48 = 0.
12/61, 2
Find t, given that 5*t**4 - 1420*t**3 + 4230*t**2 - 4220*t + 1405 = 0.
1, 281
Solve -4*f**2 - 1360*f = 0 for f.
-340, 0
Solve 2*q**2/3 - 33*q - 50/3 = 0.
-1/2, 50
Find u, given that -4*u**5 - 68*u**4 - 48*u**3 + 272*u**2 + 256*u = 0.
-16, -2, -1, 0, 2
Find u such that 2*u**3/5 - 38*u**2/5 + 48*u - 504/5 = 0.
6, 7
Factor 5*m**2 - 45480*m + 103421520.
5*(m - 4548)**2
Solve p**4/2 - 2*p**3 + p**2/2 + 3*p = 0.
-1, 0, 2, 3
Solve r**4/2 + 35*r**3/2 + 15*r**2 - 70*r - 68 = 0.
-34, -2, -1, 2
Let -3*u**2 + 3*u + 6 = 0. Calculate u.
-1, 2
Solve -2*i**3 + 18*i**2 - 46*i + 30 = 0.
1, 3, 5
Find u, given that 2*u**4/11 - 212*u**3/11 + 5826*u**2/11 - 11024*u/11 + 5408/11 = 0.
1, 52
Solve -2*q**3 + 54*q**2 + 180*q = 0.
-3, 0, 30
Let -10*j**3/11 + 36*j**2/11 - 38*j/11 + 12/11 = 0. Calculate j.
3/5, 1, 2
Determine l so that -5*l**4 + 35*l**3 - 75*l**2 + 45*l = 0.
0, 1, 3
Factor -5*w**3 + 15*w**2 - 10*w.
-5*w*(w - 2)*(w - 1)
Factor t**3/4 - 57*t**2/4 + 27*t/2 + 28.
(t - 56)*(t - 2)*(t + 1)/4
Let -4*d**5/5 + 356*d**4/5 - 2088*d**3 + 19440*d**2 + 21600*d = 0. Calculate d.
-1, 0, 30
Find r, given that 2*r**2/9 + 86*r/9 + 56 = 0.
-36, -7
Factor 2*g**3 - 376*g**2 + 22330*g - 403172.
2*(g - 77)**2*(g - 34)
Find f such that -2*f**3/3 + 8*f**2 - 14*f + 20/3 = 0.
1, 10
Factor 2*a**3/5 + 24*a**2/5 + 72*a/5.
2*a*(a + 6)**2/5
Factor 2*j**5/9 - 22*j**4/9 + 92*j**3/9 - 20*j**2 + 18*j - 6.
2*(j - 3)**3*(j - 1)**2/9
Suppose -4*a**4/3 - 4*a**3/3 + 44*a**2/3 + 12*a - 24 = 0. Calculate a.
-3, -2, 1, 3
Factor -2*m**2/3 - 52*m - 1014.
-2*(m + 39)**2/3
Factor -3*b**4 + 27*b**3 + 102*b**2 + 72*b.
-3*b*(b - 12)*(b + 1)*(b + 2)
Suppose -10*r**3/9 - 21776*r**2/9 + 968*r = 0. Calculate r.
-2178, 0, 2/5
Let -v**3/3 + 157*v**2/3 - 311*v/3 + 155/3 = 0. Calculate v.
1, 155
Factor l**2/3 + 32*l/3 + 256/3.
(l + 16)**2/3
Factor j**5 + 25*j**4 + 127*j**3 + 259*j**2 + 232*j + 76.
(j + 1)**2*(j + 2)**2*(j + 19)
Solve 5*q**4 - 20*q**3 - 330*q**2 + 700*q + 6125 = 0.
-5, 7
Solve -66049*r**2 - 5140*r - 100 = 0.
-10/257
Factor 5*k**3 + 140*k**2 + 455*k - 600.
5*(k - 1)*(k + 5)*(k + 24)
Factor -3*p**5/5 - 219*p**4/5 - 3657*p**3/5 + 2463*p**2 - 12768*p/5 + 4332/5.
-3*(p - 1)**3*(p + 38)**2/5
Factor -4*u**3 + 60*u**2 - 300*u + 500.
-4*(u - 5)**3
Factor -4*k**2 + 520*k - 16900.
-4*(k - 65)**2
Factor 5*s**4/4 - 275*s**3/2 + 545*s**2/4.
5*s**2*(s - 109)*(s - 1)/4
Factor -3*o**2/4 + 177*o/2 - 351/4.
-3*(o - 117)*(o - 1)/4
Let 5*s**3 + 5*s**2 - 80*s - 80 = 0. Calculate s.
-4, -1, 4
Determine z, given that 10*z**5 - 1655*z**4 - 14535*z**3 - 44055*z**2 - 54675*z - 23490 = 0.
-3, -3/2, -1, 174
Factor 3*t**2/4 - 726*t + 2901/4.
3*(t - 967)*(t - 1)/4
Factor 3*f**3 + 96*f**2 + 924*f + 2352.
3*(f + 4)*(f + 14)**2
Solve -4*c**2 + 178*c - 258 = 0.
3/2, 43
Factor -q**3 - 18*q**2 - 24*q + 128.
-(q - 2)*(q + 4)*(q + 16)
Let -12*x**5 - 124*x**4 - 364*x**3 - 324*x**2 - 72*x = 0. What is x?
-6, -3, -1, -1/3, 0
Factor 2*z**3/5 - 4*z**2/5 - 2*z/5 + 4/5.
2*(z - 2)*(z - 1)*(z + 1)/5
Factor 9*r**2 + 258*