, -2/5, 1
Factor 2*d**3/7 + 7766*d**2/7 - 2*d/7 - 7766/7.
2*(d - 1)*(d + 1)*(d + 3883)/7
Solve -4*x**5 + 36*x**4 + 156*x**3 - 100*x**2 - 504*x - 288 = 0 for x.
-3, -1, 2, 12
Factor -12*p**4 - 27*p**3 + 282*p**2 + 72*p.
-3*p*(p - 4)*(p + 6)*(4*p + 1)
Determine b so that -12*b**2 + 201*b + 213 = 0.
-1, 71/4
Determine q, given that 12*q**4/7 + 123*q**3/7 + 297*q**2/7 + 39*q + 87/7 = 0.
-29/4, -1
Let -2*q**5/3 - 176*q**4/3 + 62*q**3 + 704*q**2/3 - 712*q/3 = 0. Calculate q.
-89, -2, 0, 1, 2
Factor 3*p**5 - 27*p**4 - 63*p**3 + 735*p**2.
3*p**2*(p - 7)**2*(p + 5)
Find o, given that -o**3 - 251*o**2 - 746*o - 496 = 0.
-248, -2, -1
Find r, given that 123*r**3/2 - 3*r**2/2 = 0.
0, 1/41
Let -3*w**3/8 + 75*w**2/8 - 429*w/8 - 507/8 = 0. What is w?
-1, 13
Factor k**5/3 + 2*k**4/3 - 2*k**2/3 - k/3.
k*(k - 1)*(k + 1)**3/3
Factor 3*t**3/8 - 9*t**2/4 - 189*t/8 - 81/2.
3*(t - 12)*(t + 3)**2/8
Factor -a**3/7 + 4*a**2/7 + a/7 - 4/7.
-(a - 4)*(a - 1)*(a + 1)/7
Suppose 5*r**2 + 5425*r - 10870 = 0. What is r?
-1087, 2
Suppose -3*n**2/8 + 846*n - 477144 = 0. What is n?
1128
Let -7*x**5/2 - 75*x**4/2 - 101*x**3 - 66*x**2 + 28*x = 0. What is x?
-7, -2, 0, 2/7
Factor 3*h**4/7 + 30*h**3/7 - 9*h**2/7 - 60*h + 84.
3*(h - 2)**2*(h + 7)**2/7
What is j in 4*j**2 + 84*j - 88 = 0?
-22, 1
Factor p**3/2 - 19*p**2 - 442*p + 17340.
(p - 34)**2*(p + 30)/2
Solve -b**3/2 - b**2 + 15*b/2 = 0.
-5, 0, 3
Factor k**4/7 + 6*k**3/7 - 9*k**2/7 - 2*k.
k*(k - 2)*(k + 1)*(k + 7)/7
Factor 2*h**2/11 + 742*h/11.
2*h*(h + 371)/11
Let -60*r**2 - 1672*r + 224 = 0. What is r?
-28, 2/15
Let 4*j**2 + 4*j - 48 = 0. What is j?
-4, 3
Factor 5*w**4 + 180*w**3 + 1940*w**2 + 5760*w + 5120.
5*(w + 2)**2*(w + 16)**2
Factor -75*f**4 + 27135*f**3 - 21672*f**2 + 4332*f.
-3*f*(f - 361)*(5*f - 2)**2
Suppose 3*j**3/7 - 330*j**2/7 + 1284*j/7 - 1272/7 = 0. What is j?
2, 106
Suppose w**4 - 71*w**3 - w**2 + 71*w = 0. Calculate w.
-1, 0, 1, 71
Factor -3*q**3/7 - 3*q**2 - 45*q/7 - 27/7.
-3*(q + 1)*(q + 3)**2/7
What is x in -2*x**5/3 + 626*x**4/3 - 46094*x**3/3 - 451154*x**2/3 - 1233904*x/3 - 829472/3 = 0?
-4, -1, 161
Factor -242*r**2 - 88*r - 8.
-2*(11*r + 2)**2
Suppose 10*u**5 - 525*u**4 + 1195*u**3 + 2730*u**2 + 1000*u = 0. What is u?
-1, -1/2, 0, 4, 50
Factor 4*p**4 - 36*p**3 + 32*p**2.
4*p**2*(p - 8)*(p - 1)
Factor 2*k**3/7 + 16*k**2/7 + 30*k/7.
2*k*(k + 3)*(k + 5)/7
Factor -17*u**2/2 + 773*u + 91/2.
-(u - 91)*(17*u + 1)/2
Find r such that 56*r**3 - 1902*r**2/17 - 2860*r/17 - 6/17 = 0.
-1, -1/476, 3
What is d in -4*d**5 + 76*d**4 - 456*d**3 + 1024*d**2 - 640*d = 0?
0, 1, 4, 10
Factor -n**5 - 8*n**4 - 22*n**3 - 28*n**2 - 17*n - 4.
-(n + 1)**4*(n + 4)
Let -1445*j**5/6 - 3315*j**4 + 25490*j**3/3 - 1860*j**2 + 320*j/3 = 0. What is j?
-16, 0, 2/17, 2
Solve -m**3/3 + 63*m**2 - 605*m + 4475/3 = 0.
5, 179
Find a such that -3*a**5/4 + 213*a**4/2 - 4089*a**3 + 22038*a**2 - 42432*a + 27744 = 0.
2, 68
Factor -4*g**2/3 + 44*g/3 + 520.
-4*(g - 26)*(g + 15)/3
Factor -39*j**2/5 - 3711*j/5 - 114.
-3*(j + 95)*(13*j + 2)/5
Suppose 8*m**3/11 + 74*m**2/11 + 206*m/11 + 180/11 = 0. Calculate m.
-5, -9/4, -2
Factor m**3/2 + 603*m**2/2 + 45900*m + 135000.
(m + 3)*(m + 300)**2/2
Factor 5*v**4 + 635*v**3 - 1935*v**2 + 1945*v - 650.
5*(v - 1)**3*(v + 130)
Solve 4*v**2 + 176*v + 1936 = 0.
-22
Find w, given that 2*w**3/7 + 88*w**2/7 + 1160*w/7 + 4800/7 = 0.
-24, -10
Find b, given that 4*b**5 + 24*b**4 + 56*b**3 + 64*b**2 + 36*b + 8 = 0.
-2, -1
What is b in 2*b**2 + 40*b - 138 = 0?
-23, 3
Factor 2*f**2/11 + 6*f/11 - 8/11.
2*(f - 1)*(f + 4)/11
Factor b**2/2 + 3*b - 7/2.
(b - 1)*(b + 7)/2
Factor -5*v**2 + 15310*v - 11719805.
-5*(v - 1531)**2
Let 2*y**3/7 + 44*y**2/7 - 94*y/7 + 48/7 = 0. Calculate y.
-24, 1
Solve -v**3 - 7*v**2 + v + 7 = 0 for v.
-7, -1, 1
Determine v, given that 6*v**5/7 - 48*v**4/7 - 6*v**3/7 + 48*v**2/7 = 0.
-1, 0, 1, 8
Factor 16*u**4/3 + 200*u**3/3 + 91*u**2 + 33*u.
u*(u + 11)*(4*u + 3)**2/3
Factor -3*x**3/2 + 171*x**2 - 5040*x + 9408.
-3*(x - 56)**2*(x - 2)/2
Solve 7*d**3/3 + 23*d**2/3 + 2*d = 0 for d.
-3, -2/7, 0
Suppose 16*h**4 - 1040*h**3 + 1972*h**2 + 2760*h + 756 = 0. What is h?
-1/2, 3, 63
Factor 3*b**3/2 - 288*b**2 - 1749*b/2 - 585.
3*(b - 195)*(b + 1)*(b + 2)/2
Suppose -4*i**5 + 24*i**4 + 16*i**3 - 96*i**2 = 0. Calculate i.
-2, 0, 2, 6
Let -6*y**5 - 278*y**4 - 4132*y**3 - 18504*y**2 + 14256*y = 0. Calculate y.
-18, -11, 0, 2/3
Find m, given that -675*m**2 + 90*m - 3 = 0.
1/15
Factor 3*l**5/7 + 15*l**4/7 + 18*l**3/7.
3*l**3*(l + 2)*(l + 3)/7
Determine g, given that -3*g**5/4 + 3*g**4 - 3*g**3/4 - 15*g**2/2 + 3*g + 6 = 0.
-1, 2
Determine f, given that -9*f**4/7 + 43*f**3/7 + 82*f**2/7 - 92*f/7 - 24/7 = 0.
-2, -2/9, 1, 6
Determine l so that -2*l**4 + 462*l**3 - 26444*l**2 - 27840*l + 53824 = 0.
-2, 1, 116
Factor -14*b**3 - 3048*b**2 - 165462*b + 47524.
-2*(b + 109)**2*(7*b - 2)
Factor -3*p**3/2 + 51*p**2 - 426*p + 660.
-3*(p - 22)*(p - 10)*(p - 2)/2
Let 2*z**5/3 + 4*z**4/3 - 40*z**3/3 - 44*z**2/3 + 38*z/3 + 40/3 = 0. Calculate z.
-5, -1, 1, 4
Determine t so that 30*t**5/7 + 4*t**4 - 726*t**3/7 + 1124*t**2/7 + 24*t/7 - 144/7 = 0.
-6, -1/3, 2/5, 2, 3
Factor 4*h**5 + h**4 - 16*h**3 - 4*h**2.
h**2*(h - 2)*(h + 2)*(4*h + 1)
What is n in -n**4 + n**3 + 3*n**2 - 5*n + 2 = 0?
-2, 1
Let -8*n**5 + 16*n**4 - 10*n**3 + 2*n**2 = 0. What is n?
0, 1/2, 1
Factor -3*d**4/7 + 24*d**2/7 - 48/7.
-3*(d - 2)**2*(d + 2)**2/7
Factor -4*d**5 + 52*d**4 - 88*d**3 - 8*d**2 + 92*d - 44.
-4*(d - 11)*(d - 1)**3*(d + 1)
Suppose -h**3/3 - 10*h**2 - 36*h + 648 = 0. What is h?
-18, 6
Let 3*x**3 - 186*x**2 + 2883*x = 0. Calculate x.
0, 31
Factor 4*t**3 + 1072*t**2 + 72884*t + 141512.
4*(t + 2)*(t + 133)**2
Suppose 5*j**5 + 70*j**4 + 285*j**3 + 380*j**2 + 160*j = 0. Calculate j.
-8, -4, -1, 0
Solve s**4/12 + 95*s**3/12 + 23*s**2/3 - 47*s/3 = 0.
-94, -2, 0, 1
Factor -2*u**2/15 - 4*u/5 - 16/15.
-2*(u + 2)*(u + 4)/15
Find p, given that 4*p**2 - 24*p + 32 = 0.
2, 4
Determine v, given that -30276*v**2 - 1392*v - 16 = 0.
-2/87
Factor 5*k**4 - 1340*k**3 + 91105*k**2 - 176890*k.
5*k*(k - 133)**2*(k - 2)
Find a, given that -3*a**2 - 102*a - 867 = 0.
-17
Factor j**2/4 - 13*j/2 + 40.
(j - 16)*(j - 10)/4
Factor 2*z**4/9 - 34*z**3/3 - 320*z**2/9 - 24*z.
2*z*(z - 54)*(z + 1)*(z + 2)/9
Factor -2*t**4/7 - 78*t**3/7 + 164*t**2/7.
-2*t**2*(t - 2)*(t + 41)/7
Suppose 5*h**5 - 15*h**4 - 10*h**3 + 60*h**2 - 40*h = 0. Calculate h.
-2, 0, 1, 2
Let -5*y**4 + 80*y**3 + 275*y**2 + 190*y = 0. What is y?
-2, -1, 0, 19
Solve 98*h**3 + 21672*h**2 + 1597536*h + 274776192/7 = 0.
-516/7
Solve s**5/4 + 121*s**4/4 + 3347*s**3/4 - 18841*s**2/4 + 7812*s - 3969 = 0 for s.
-63, 1, 2
Factor -p**4/3 + 5*p**3 - 3*p**2 - 67*p/3 - 14.
-(p - 14)*(p - 3)*(p + 1)**2/3
Factor 5*q**3 + 425*q**2 + 2640*q - 7020.
5*(q - 2)*(q + 9)*(q + 78)
Factor -18*d**5/5 + 71*d**4/5 - 104*d**3/5 + 66*d**2/5 - 14*d/5 - 1/5.
-(d - 1)**4*(18*d + 1)/5
What is k in -10*k**5/11 + 162*k**4/11 + 258*k**3/11 - 2098*k**2/11 + 408*k/11 = 0?
-4, 0, 1/5, 3, 17
Factor -5*b**3/6 + 2600*b**2/3 - 681170*b/3 + 2683240/3.
-5*(b - 518)**2*(b - 4)/6
Let 4*z**2 - 36 = 0. Calculate z.
-3, 3
Determine k so that 8*k**2/3 - 13*k = 0.
0, 39/8
Determine b, given that -1764*b**5 + 12180*b**4 - 29068*b**3 + 28492*b**2 - 10240*b + 1200 = 0.
2/7, 5/3, 3
Factor -2*k**2/7 + 612*k/7 - 46818/7.
-2*(k - 153)**2/7
Find a, given that 2*a**5/3 + 4*a**4 + 26*a**3/3 + 8*a**2 + 8*a/3 = 0.
-2, -1, 0
Solve -2*z**2 - 2826*z + 5660 = 0.
-1415, 2
Factor -2*t**3/11 + 940*t**2/11 - 9250*t/11 + 23000/11.
-2*(t - 460)*(t - 5)**2/11
Find d, given that 18*d**5 + 483*d**4 - 1647*d**3 + 1863*d**2 - 807*d + 90 = 0.
-30, 1/6, 1
Let 4*w**5/9 - 28*w**4/9 - 4*w**3 + 28*w**2/9 + 32*w/9 = 0. Calculate w.
-1, 0, 1, 8
Determine t, given that -t**3/3 + 178*t**2/3 - 8096*t/3 + 15488/3 = 0.
2, 88
Factor 169*n**3/3 - 1378*n**2/3 + 209*n/3 - 8/3.
(n - 8)*(13*n - 1)**2/3
Factor s**2 - 288*s + 20736.
(s - 144)**2
Determine y so that -2*y**3/5 + 58*y**2/5 - 494*y/5 + 1014/5 = 0.
3, 13
Find m such that 2*m**5/5 + 566*m**4/5 - 4608*m**3/5 + 13904*m**2/5 - 18592*m/5 + 9312/5 = 0.
-291, 2
Let -4*k**2 + 36 = 0. What is k?
-3, 3
Find d such that d**2 - 782*d + 152881 = 0.
391
Solve 5*n**4 + 85*n**3 - 95*n**2 - 85*n + 90 = 0.
-18, -1, 1
Find o, given that 47*o**4/6 - 95*o**3/3 + 149*o**2/6 - o = 0.
0, 