*2 + 92*x - 840 = 0.
-30, 7
Factor -q**2/4 + 59*q/2 - 318.
-(q - 106)*(q - 12)/4
Factor -r**4/2 - 19*r**3/2 - 56*r**2 - 78*r + 144.
-(r - 1)*(r + 6)**2*(r + 8)/2
Determine d so that 3*d**2/2 + 396*d + 26136 = 0.
-132
Suppose -4*m**3 - 3928*m**2 + 3932*m = 0. What is m?
-983, 0, 1
Solve 18*k**4/13 + 58*k**3/13 - 60*k**2/13 - 16*k/13 = 0 for k.
-4, -2/9, 0, 1
Factor k**4/2 - 4*k**3 + k**2/2 + 21*k.
k*(k - 7)*(k - 3)*(k + 2)/2
Suppose l**4/12 - l**3/12 - 43*l**2/12 + l/12 + 7/2 = 0. What is l?
-6, -1, 1, 7
Factor -4*o**4 + 88*o**3 - 724*o**2 + 2640*o - 3600.
-4*(o - 6)**2*(o - 5)**2
Factor 2*n**3 + 12*n**2 + 18*n.
2*n*(n + 3)**2
Determine x so that -3*x**4/7 - 36*x**3/7 - 156*x**2/7 - 288*x/7 - 192/7 = 0.
-4, -2
Factor -3*c**2/8 + 105*c/4 - 3675/8.
-3*(c - 35)**2/8
Determine a so that -10*a**4/7 + 282*a**3/7 + 4384*a**2/7 + 13512*a/7 - 2880/7 = 0.
-6, 1/5, 40
Factor -d**4 - 312*d**3 - 36504*d**2 - 1898208*d - 37015056.
-(d + 78)**4
Factor -3*z**4 + 321*z**3 + 3*z**2 - 321*z.
-3*z*(z - 107)*(z - 1)*(z + 1)
Find x, given that 2*x**2 + 19876*x + 49381922 = 0.
-4969
Let -c**2/11 + 318*c/11 - 25281/11 = 0. Calculate c.
159
Factor 4*d**2 - 2044*d.
4*d*(d - 511)
What is k in 5*k**2/4 + 67*k - 27 = 0?
-54, 2/5
Factor -2*s**2/11 + 16*s/11 + 18/11.
-2*(s - 9)*(s + 1)/11
Suppose -4*g**2/3 - 16*g - 48 = 0. What is g?
-6
Determine s so that -5*s**2 + 25*s - 20 = 0.
1, 4
Factor 3*b**2 - 81*b + 78.
3*(b - 26)*(b - 1)
Factor 2*z**3 - 12062*z**2 + 18180448*z + 18192512.
2*(z - 3016)**2*(z + 1)
Let 3*o**2 - 168*o + 324 = 0. What is o?
2, 54
Factor 2*o**4/7 - 284*o**3/7 - 1752*o**2/7 - 3536*o/7 - 2368/7.
2*(o - 148)*(o + 2)**3/7
Factor 9*w**3 - 1356*w**2 + 901*w - 150.
(w - 150)*(3*w - 1)**2
Suppose -2*j**3/3 - 10*j**2 - 124*j/3 - 48 = 0. What is j?
-9, -4, -2
Factor -2*q**3 + 34*q**2 - 32*q.
-2*q*(q - 16)*(q - 1)
Factor -2*r**2/7 - 66*r/7 - 124/7.
-2*(r + 2)*(r + 31)/7
Let -4*x**4 + 1632*x**3 + 4920*x**2 + 4928*x + 1644 = 0. Calculate x.
-1, 411
Let -3*i**3/5 - 7*i**2/5 + 6*i/5 = 0. Calculate i.
-3, 0, 2/3
Factor -4*d**3/7 - 300*d**2/7 - 1676*d/7 - 1380/7.
-4*(d + 1)*(d + 5)*(d + 69)/7
Factor 20*v**3 - 545*v**2 - 4625*v + 1190.
5*(v - 34)*(v + 7)*(4*v - 1)
Let 2*t**3 + 52*t**2 + 46*t - 100 = 0. Calculate t.
-25, -2, 1
Factor -2*w**2/5 - 16*w/5 - 14/5.
-2*(w + 1)*(w + 7)/5
What is c in -c**5 + 24*c**4 + 25*c**3 = 0?
-1, 0, 25
Determine z, given that -2*z**5/3 - 178*z**4/3 - 282*z**3 - 162*z**2 + 504*z = 0.
-84, -3, 0, 1
Factor -2*f**2 + 6*f - 4.
-2*(f - 2)*(f - 1)
Find c such that 5*c**2 + 1160*c + 67280 = 0.
-116
Factor v**3/4 + 19*v**2/4 + 9*v/2.
v*(v + 1)*(v + 18)/4
Let 5*c**5 - 400*c**4 + 395*c**3 = 0. Calculate c.
0, 1, 79
Factor -5*a**4 - 95*a**3 + 245*a**2 + 755*a + 420.
-5*(a - 4)*(a + 1)**2*(a + 21)
Suppose -2*g**5/9 + 148*g**4/9 + 160*g**3/3 - 1396*g**2/9 + 770*g/9 = 0. Calculate g.
-5, 0, 1, 77
Find d, given that 22*d**4/7 - 6*d**3/7 - 22*d**2/7 + 6*d/7 = 0.
-1, 0, 3/11, 1
Factor 4*y**4/3 + 412*y**3/3 + 10400*y**2/3 - 10816*y/3.
4*y*(y - 1)*(y + 52)**2/3
Find u such that -3*u**4 + 3*u**3 + 3*u**2 - 3*u = 0.
-1, 0, 1
Factor -2*q**3/11 + 62*q**2 - 1358*q/11 + 678/11.
-2*(q - 339)*(q - 1)**2/11
Find f, given that -3*f**3/5 + 612*f**2 - 777231*f/5 - 1566726/5 = 0.
-2, 511
Solve -2*l**4/9 + 116*l**3/3 - 1720*l**2 + 29584*l/9 = 0.
0, 2, 86
Factor o**3/8 - 319*o**2/8 + 3458*o - 43320.
(o - 152)**2*(o - 15)/8
Factor p**5/3 - 2*p**4/3 - 3*p**3 + 6*p**2.
p**2*(p - 3)*(p - 2)*(p + 3)/3
Find r, given that -5*r**5 + 5*r**4 + 190*r**3 - 550*r**2 + 535*r - 175 = 0.
-7, 1, 5
Factor m**2 + 62*m.
m*(m + 62)
Suppose 4*f**5/9 + 4*f**4/9 - 172*f**3/9 - 4*f**2/9 + 56*f/3 = 0. What is f?
-7, -1, 0, 1, 6
Factor n**3/3 + 253*n**2/3 + 15875*n/3 - 16129/3.
(n - 1)*(n + 127)**2/3
Factor z**2 + 114*z - 472.
(z - 4)*(z + 118)
Suppose o**5/3 + 2*o**4/3 - 20*o**3/3 - 62*o**2/3 - 61*o/3 - 20/3 = 0. What is o?
-4, -1, 5
Find b such that -b**4/5 + 3*b**3/5 + 4*b**2 - 84*b/5 + 16 = 0.
-5, 2, 4
Let 2*h**4 - 38*h**2 + 60*h = 0. What is h?
-5, 0, 2, 3
Factor -2*q**2/5 - 112*q/5 - 22.
-2*(q + 1)*(q + 55)/5
Let k**5 - 14*k**4 + 43*k**3 - 26*k**2 - 44*k + 40 = 0. What is k?
-1, 1, 2, 10
Find p, given that -p**3 - 92*p**2 + 188*p = 0.
-94, 0, 2
Solve 8*s**3/3 - 82*s**2 + 178*s/3 + 20 = 0.
-1/4, 1, 30
Suppose 2*i**5/3 - 26*i**4/3 - 4*i**3 + 140*i**2/3 + 202*i/3 + 26 = 0. What is i?
-1, 3, 13
Factor -w**3/9 + 2*w**2/9 - w/9.
-w*(w - 1)**2/9
Factor -2*c**2/3 - 376*c/3 + 776.
-2*(c - 6)*(c + 194)/3
Let -2*k**2/13 - 122*k/13 - 120/13 = 0. Calculate k.
-60, -1
Factor -3*r**3/7 + 9*r**2 - 162*r/7.
-3*r*(r - 18)*(r - 3)/7
Factor -5*o**3 - 100*o**2 + 815*o + 910.
-5*(o - 7)*(o + 1)*(o + 26)
Factor 3*w**2 - 48*w - 51.
3*(w - 17)*(w + 1)
Determine n so that n**3/4 - 413*n**2/2 + 170569*n/4 = 0.
0, 413
Find q such that 2*q**5 + 14*q**4 + 10*q**3 - 14*q**2 - 12*q = 0.
-6, -1, 0, 1
Find c, given that 2*c**5/15 + 6*c**4/5 - 86*c**3/5 + 238*c**2/15 = 0.
-17, 0, 1, 7
Factor 2*y**3/7 - 6*y**2/7.
2*y**2*(y - 3)/7
Suppose -z**3 + 7*z**2 + 34*z - 40 = 0. Calculate z.
-4, 1, 10
Suppose -3*d**4 + 27*d**3 + 63*d**2 + 33*d = 0. What is d?
-1, 0, 11
Factor 3*g**3/7 + 111*g**2/7 + 213*g/7 + 15.
3*(g + 1)**2*(g + 35)/7
Suppose -r**3/3 - 1252*r**2 - 1567504*r - 1962515008/3 = 0. Calculate r.
-1252
Suppose -4*l**2 - 1424*l - 1420 = 0. Calculate l.
-355, -1
Let -3*s**4/7 + 9*s**3/7 + 12*s**2/7 = 0. Calculate s.
-1, 0, 4
Solve 12*f**5 + 80*f**4 + 104*f**3 - 208*f**2 - 276*f + 288 = 0.
-3, -8/3, 1
Let 4*c**5 - 13*c**4 + 15*c**3 - 7*c**2 + c = 0. What is c?
0, 1/4, 1
Factor -2*x**3/11 - 234*x**2/11 - 42*x - 230/11.
-2*(x + 1)**2*(x + 115)/11
Factor 3*o**4 + 804*o**3 + 54666*o**2 + 106932*o + 53067.
3*(o + 1)**2*(o + 133)**2
Find s, given that 2*s**3/5 + 92*s**2/5 - 38*s + 96/5 = 0.
-48, 1
Factor 2*u**2/7 - 1320*u/7 + 1318/7.
2*(u - 659)*(u - 1)/7
Find k, given that k**2/10 + 4518*k/5 + 10206162/5 = 0.
-4518
Factor -5*u**3/2 - 1015*u**2/2 - 1500*u.
-5*u*(u + 3)*(u + 200)/2
Factor -34833604*b**2/5 + 47216*b/5 - 16/5.
-4*(2951*b - 2)**2/5
Factor n**4/3 + 221*n**3/3 + 12097*n**2/3 - 4255*n - 8214.
(n - 2)*(n + 1)*(n + 111)**2/3
Determine m so that -2*m**2/9 - 722*m/9 + 724/9 = 0.
-362, 1
Suppose 3*g**3 + 60*g**2 - 276*g + 288 = 0. Calculate g.
-24, 2
Suppose o**4/5 - 106*o**3/5 + 41*o**2 + 312*o/5 = 0. Calculate o.
-1, 0, 3, 104
Factor 5*w**2 - 20*w - 60.
5*(w - 6)*(w + 2)
Factor 2*s**2 + 6*s - 20.
2*(s - 2)*(s + 5)
Suppose w**3/4 - 13*w**2/2 + 129*w/4 - 45 = 0. Calculate w.
3, 20
Let -48*i**2/19 + 674*i/19 - 28/19 = 0. Calculate i.
1/24, 14
Factor -3*h**3/2 + 15*h**2 - 81*h/2 + 27.
-3*(h - 6)*(h - 3)*(h - 1)/2
Factor 14*d**2 - 58*d + 44.
2*(d - 1)*(7*d - 22)
Solve -2*l**2 + 44*l - 42 = 0.
1, 21
Let 5*y**5 - 85*y**4 + 290*y**3 + 870*y**2 - 2295*y + 1215 = 0. What is y?
-3, 1, 9
Find q such that -4*q**2 + 328*q - 6724 = 0.
41
Solve -5*g**4 - 5*g**3 + 45*g**2 - 55*g + 20 = 0 for g.
-4, 1
Factor -2*v**4/5 - 48*v**3/5 - 46*v**2/5.
-2*v**2*(v + 1)*(v + 23)/5
Let -2*q**5/3 + 4*q**4/3 + 10*q**3 + 8*q**2/3 - 40*q/3 = 0. Calculate q.
-2, 0, 1, 5
Determine j so that 4*j**3 + 656*j**2 + 26228*j - 55112 = 0.
-83, 2
Factor 2*c**2/15 - 58*c/15 - 64/5.
2*(c - 32)*(c + 3)/15
Factor j**3/4 + 17*j**2/4 - 29*j/2 + 10.
(j - 2)*(j - 1)*(j + 20)/4
Let 4*i**2/3 + 68*i/3 - 1232/3 = 0. What is i?
-28, 11
Factor -5*h**4 + 15*h**3 - 10*h**2.
-5*h**2*(h - 2)*(h - 1)
Solve -2*f**2/7 - 74*f/7 + 76/7 = 0 for f.
-38, 1
Suppose -2*o**3 + 6*o**2 + 12*o - 16 = 0. What is o?
-2, 1, 4
Factor 2*b**4/19 - 6*b**3/19 - 2*b**2/19 + 6*b/19.
2*b*(b - 3)*(b - 1)*(b + 1)/19
Let -4*u**2 - 32*u - 64 = 0. Calculate u.
-4
Factor g**5/2 + g**4/2 - 4*g**3 - 6*g**2.
g**2*(g - 3)*(g + 2)**2/2
Solve -2*t**4/5 + 24*t**3/5 - 52*t**2/5 - 24*t/5 + 54/5 = 0 for t.
-1, 1, 3, 9
Factor -n**2/5 - 33*n/5.
-n*(n + 33)/5
Factor -2*n**3 + 99*n**2 - 1200*n - 625.
-(n - 25)**2*(2*n + 1)
Solve 8*d**4/3 + 586*d**3/3 + 4848*d**2 + 42624*d + 46080 = 0.
-24, -5/4
Suppose 2*g**2/5 + 106*g - 532/5 = 0. What is g?
-266, 1
Find v such that 2*v**3 - 26*v**2 + 72*v = 0.
0, 4, 9
Solve -f**4 + 2*f**3 + 3*f**2 = 0.
-1, 0, 3
Find t, given that 9*t**3 + 30*t**2 - 9*t - 30 = 0.
-10/3, -1, 1
Determine h so that 2*h**3 - 98*h**2 + 190*h - 94 = 0.
1, 47
Factor 3*c**3 - 300*c**2 + 591*c - 294.
3*(c - 98)*(c - 1)**2
Fa