102*r**2/5 + 27*r - 54/5 = 0.
-3, 1, 2, 3
Find h, given that 2*h**3/3 + 4*h**2/3 - 14*h/3 + 8/3 = 0.
-4, 1
Factor -25*r**4 - 85*r**3 - 105*r**2 - 55*r - 10.
-5*(r + 1)**3*(5*r + 2)
Solve -o**2 - 49*o - 48 = 0.
-48, -1
Factor o**3/10 + 9*o**2/5 + 83*o/10 + 33/5.
(o + 1)*(o + 6)*(o + 11)/10
Factor -x**4/9 + 10*x**3/9 - 17*x**2/9 + 8*x/9.
-x*(x - 8)*(x - 1)**2/9
Factor j**5/2 - j**3/2.
j**3*(j - 1)*(j + 1)/2
Suppose -2*j**2 - 2144*j - 574592 = 0. What is j?
-536
Suppose -24*x**3 + 316*x**2 + 284*x - 56 = 0. Calculate x.
-1, 1/6, 14
Factor 5*l**4 + 275*l**3 + 260*l**2 - 540*l.
5*l*(l - 1)*(l + 2)*(l + 54)
Factor -p**2/3 + 16*p - 192.
-(p - 24)**2/3
Factor 3*t**3 + 1209*t**2 + 2409*t + 1203.
3*(t + 1)**2*(t + 401)
Find c, given that -3*c**4/4 - 249*c**3/4 - 963*c**2/4 - 1191*c/4 - 237/2 = 0.
-79, -2, -1
Factor 2*b**4/7 - 4*b**3/7 - 38*b**2/7 + 40*b/7.
2*b*(b - 5)*(b - 1)*(b + 4)/7
Find g such that 5*g**4 + 130*g**3 - 425*g**2 + 290*g = 0.
-29, 0, 1, 2
Factor -r**3/8 - 12717*r**2/8 - 53907363*r/8 - 76171103919/8.
-(r + 4239)**3/8
Suppose 5*n**4 + 10*n**3 - 40*n**2 = 0. What is n?
-4, 0, 2
Factor -4*p**2/7 + 424*p/7 + 428/7.
-4*(p - 107)*(p + 1)/7
Find h such that 2*h**2/7 + 996*h/7 + 124002/7 = 0.
-249
Suppose -28*y**5/17 + 106*y**4/17 + 56*y**3/17 - 122*y**2/17 - 28*y/17 + 16/17 = 0. Calculate y.
-1, -1/2, 2/7, 1, 4
Suppose i**4/2 + 7*i**3/2 + 15*i**2/2 + 13*i/2 + 2 = 0. What is i?
-4, -1
Factor -b**3/2 + 421*b**2/2 - 44099*b/2 - 44521/2.
-(b - 211)**2*(b + 1)/2
Solve 2*y**5/9 - 70*y**4/9 + 286*y**3/3 - 4114*y**2/9 + 5324*y/9 = 0.
0, 2, 11
Solve -4*m**5 - 128*m**4 - 724*m**3 - 600*m**2 = 0.
-25, -6, -1, 0
What is a in 180*a**5 - 1020*a**4 + 1625*a**3 - 450*a**2 - 305*a - 30 = 0?
-1/6, 1, 2, 3
Factor -4*n**3/5 + 8*n**2/5 + 4*n/5 - 8/5.
-4*(n - 2)*(n - 1)*(n + 1)/5
Determine o so that o**5 - 9*o**4 + 26*o**3 - 18*o**2 - 27*o + 27 = 0.
-1, 1, 3
Factor -5*h**2 - 55*h + 400.
-5*(h - 5)*(h + 16)
Find i such that 12*i**4 + 104*i**3 + 204*i**2 - 80*i = 0.
-5, -4, 0, 1/3
Factor 2*g**2 - 72*g - 234.
2*(g - 39)*(g + 3)
Factor h**2/7 - 9*h/7 - 10/7.
(h - 10)*(h + 1)/7
Let 2*u**2/11 - 28*u/11 + 6 = 0. Calculate u.
3, 11
Factor 14*o**3/3 - 136*o**2/3 + 86*o/3 + 12.
2*(o - 9)*(o - 1)*(7*o + 2)/3
Factor -x**2/2 - 3*x/2 + 14.
-(x - 4)*(x + 7)/2
Factor 3*s**5 + 21*s**4 + 48*s**3 + 36*s**2.
3*s**2*(s + 2)**2*(s + 3)
Solve -200*v**5 + 160*v**4 + 238*v**3 - 158*v**2 - 38*v - 2 = 0 for v.
-1, -1/10, 1
Suppose 5*m**5 + 475*m**4 = 0. What is m?
-95, 0
Factor -12*b**2 - 63*b + 147.
-3*(b + 7)*(4*b - 7)
Suppose -4*j**2 - 52*j - 88 = 0. What is j?
-11, -2
Suppose o**5/2 - 29*o**4/4 + 26*o**3 - 149*o**2/4 + 23*o - 5 = 0. What is o?
1/2, 1, 2, 10
Determine x so that 2*x**4 - 150*x**3 + 294*x**2 - 146*x = 0.
0, 1, 73
Factor 14*p**3/9 + 16*p**2/9 - 26*p/9 - 4/9.
2*(p - 1)*(p + 2)*(7*p + 1)/9
Factor v**3 - 17*v**2 - 193*v - 175.
(v - 25)*(v + 1)*(v + 7)
Determine d, given that 6*d**4/17 - 4*d**3/17 - 38*d**2/17 - 12*d/17 = 0.
-2, -1/3, 0, 3
Let x**3/4 - 17*x**2/4 + 4*x = 0. Calculate x.
0, 1, 16
Suppose -v**2/4 - 16*v + 65/4 = 0. Calculate v.
-65, 1
Solve 4*c**2 + 9488*c + 5626384 = 0 for c.
-1186
Find l, given that -l**5/4 + 3*l**3/4 + l**2/2 = 0.
-1, 0, 2
What is b in b**2 - 170*b + 336 = 0?
2, 168
Suppose -2*u**5/5 - 8*u**4/5 - 6*u**3/5 + 8*u**2/5 + 8*u/5 = 0. Calculate u.
-2, -1, 0, 1
Let -2*o**5/13 + 4*o**4/13 + 20*o**3/13 - 16*o**2/13 - 66*o/13 - 36/13 = 0. Calculate o.
-2, -1, 3
Factor 3*b**4 + 18*b**3 + 27*b**2 + 12*b.
3*b*(b + 1)**2*(b + 4)
Solve -3*d**2 + 7734*d - 4984563 = 0.
1289
Factor -2*g**2/7 + 162/7.
-2*(g - 9)*(g + 9)/7
Find j such that 4*j**2 + 15324*j + 15320 = 0.
-3830, -1
Factor n**3 + 28*n**2 + 132*n.
n*(n + 6)*(n + 22)
What is y in 16*y**4 - 244*y**3 - 292*y**2 + 1624*y - 384 = 0?
-3, 1/4, 2, 16
What is a in 39*a**2/5 - 108*a - 84/5 = 0?
-2/13, 14
Let -3*r**5 - 15*r**4 + 144*r**3 + 756*r**2 = 0. Calculate r.
-6, 0, 7
Factor 12*f**4 - 76*f**3 + 24*f**2.
4*f**2*(f - 6)*(3*f - 1)
Factor -3*d**3/2 - 3*d**2/2 + 3*d.
-3*d*(d - 1)*(d + 2)/2
Solve 2*a**3/5 + 366*a**2/5 + 3312*a - 16928/5 = 0.
-92, 1
Factor 8*i**5/3 + 100*i**4/3 - 575*i**3/6 + 125*i**2/2.
i**2*(i + 15)*(4*i - 5)**2/6
Factor 4*i**2/3 + 244*i/3 + 1120/3.
4*(i + 5)*(i + 56)/3
Suppose -5*n**5 + 10*n**4 + 20*n**3 - 40*n**2 = 0. Calculate n.
-2, 0, 2
Suppose -3*w**2/2 - 21*w - 39/2 = 0. What is w?
-13, -1
Solve -b**3 - 37*b**2 - 323*b + 361 = 0.
-19, 1
Suppose -576738*u**2 - 8592*u - 32 = 0. What is u?
-4/537
Factor -2*c**3/3 - 202*c**2/3 - 2548*c/3 + 2752/3.
-2*(c - 1)*(c + 16)*(c + 86)/3
Factor -9*g**2/5 + 397*g/5 + 406/5.
-(g + 1)*(9*g - 406)/5
Let -5*p**2 - 210*p = 0. What is p?
-42, 0
Factor -3*q**2/7 - 3*q + 234/7.
-3*(q - 6)*(q + 13)/7
Solve 2*s**3 - 38*s**2 - 100*s + 336 = 0.
-4, 2, 21
Find u, given that -6*u**5/13 - 160*u**4/13 + 1450*u**3/13 - 1580*u**2/13 - 40*u + 816/13 = 0.
-34, -2/3, 1, 6
Suppose -2*f**3/7 - 788*f**2/7 - 77618*f/7 = 0. What is f?
-197, 0
Factor -x**3/6 + 11*x**2/3 - 70*x/3 + 100/3.
-(x - 10)**2*(x - 2)/6
Suppose -3*d**2 - 483*d - 480 = 0. What is d?
-160, -1
Find y such that 2*y**2/7 - 10*y/7 - 36 = 0.
-9, 14
Factor -5*r**3 - 25*r**2 - 20*r.
-5*r*(r + 1)*(r + 4)
Solve 3*i**3 - 459*i**2 + 23409*i - 397953 = 0 for i.
51
Factor i**2 - 55*i + 546.
(i - 42)*(i - 13)
Solve -4*b**2 - 48*b - 144 = 0 for b.
-6
Solve -3*m**3 - 30*m**2 - 51*m - 24 = 0 for m.
-8, -1
Factor l**2/2 - 546*l + 1091/2.
(l - 1091)*(l - 1)/2
Determine v so that -2*v**2 + 21280*v/9 - 1576/3 = 0.
2/9, 1182
Find g, given that 3*g**2 - 744*g + 46128 = 0.
124
Factor m**5 + 24*m**4 + 183*m**3 + 460*m**2 + 300*m.
m*(m + 1)*(m + 3)*(m + 10)**2
Let 4*n**4 - 152*n**3 + 1440*n**2 + 152*n - 1444 = 0. Calculate n.
-1, 1, 19
Factor 3*t**4/2 - 519*t**3/2 - 525*t**2.
3*t**2*(t - 175)*(t + 2)/2
Find v, given that v**3/2 + 7*v**2/2 + 7*v + 4 = 0.
-4, -2, -1
Suppose -3*h**5 + 9*h**4 + 6*h**3 - 18*h**2 - 3*h + 9 = 0. What is h?
-1, 1, 3
Let -72*n**3 + 312*n**2 - 98*n + 8 = 0. What is n?
1/6, 4
Factor 4*u**3/9 - 4*u**2 - 388*u/9 + 140/3.
4*(u - 15)*(u - 1)*(u + 7)/9
Find n such that 4*n**2/5 - 92*n - 464/5 = 0.
-1, 116
Factor 12*w**2 - 16*w + 4.
4*(w - 1)*(3*w - 1)
Factor -32*p**3 - 2000*p**2 - 994*p - 124.
-2*(p + 62)*(4*p + 1)**2
Find a such that -1392*a**5/7 - 888*a**4 - 6831*a**3/7 - 2193*a**2/7 - 177*a/7 + 9/7 = 0.
-3, -1, -1/4, 1/29
Suppose 2*m**3 + 146*m**2 + 2992*m + 11560 = 0. Calculate m.
-34, -5
Factor -b**5 + 7*b**4 + 5*b**3 - 75*b**2.
-b**2*(b - 5)**2*(b + 3)
Factor g**3/7 + 109*g**2/7 + 1759*g/7 - 267.
(g - 1)*(g + 21)*(g + 89)/7
Factor 5*x**4 + 770*x**3 + 31845*x**2 + 167980*x + 136900.
5*(x + 1)*(x + 5)*(x + 74)**2
Factor -2*o**3/5 + 2*o**2/5.
-2*o**2*(o - 1)/5
What is f in 5*f**2 + 35*f + 30 = 0?
-6, -1
Let -2*d**2/21 + 2*d/7 + 176/21 = 0. What is d?
-8, 11
Let -5*v**3/6 + 8*v**2/3 + 17*v/6 - 2/3 = 0. Calculate v.
-1, 1/5, 4
Suppose -n**3/5 - 64*n**2/5 + 268*n/5 - 272/5 = 0. Calculate n.
-68, 2
Solve 21*d**5 - 204*d**4 - 81*d**3 + 204*d**2 + 60*d = 0 for d.
-1, -2/7, 0, 1, 10
Suppose 4*c**3 - 148*c - 336 = 0. Calculate c.
-4, -3, 7
Factor -v**4/5 + v**3/5 + 13*v**2/5 - 5*v + 12/5.
-(v - 3)*(v - 1)**2*(v + 4)/5
Find v, given that 8*v**5/5 + 22*v**4/5 - 22*v**3/5 - 92*v**2/5 - 8*v + 16/5 = 0.
-2, -1, 1/4, 2
Suppose -i**2/4 - 3*i/4 + 5/2 = 0. Calculate i.
-5, 2
Determine r, given that 8*r**4/17 - 182*r**3/17 - 14*r**2 - 48*r/17 = 0.
-1, -1/4, 0, 24
Factor -3*j**3 - 102*j**2 + 105*j.
-3*j*(j - 1)*(j + 35)
Determine r, given that -2*r**3 - 1082*r**2 - 1080*r = 0.
-540, -1, 0
Factor -4*q**3 - 28*q**2 - 32*q + 64.
-4*(q - 1)*(q + 4)**2
Find k such that 2*k**2/5 + 4564*k/5 - 4566/5 = 0.
-2283, 1
Solve 3*a**3/5 + 9*a**2 + 141*a/5 - 189/5 = 0.
-9, -7, 1
Find a, given that -3*a**3 - 36*a**2 + 2079*a = 0.
-33, 0, 21
Solve 5*b**4 + 800*b**3 + 48000*b**2 + 1280000*b + 12800000 = 0.
-40
Factor -2*a**3/9 - 52*a**2/3 - 320*a + 6400/9.
-2*(a - 2)*(a + 40)**2/9
Factor 4*g**2 + 4052*g + 4048.
4*(g + 1)*(g + 1012)
Find q, given that 2*q**3/7 - 20*q**2/7 + 50*q/7 = 0.
0, 5
Factor a**4/4 + 297*a**3/4 - 528*a**2 + 1213*a - 912.
(a - 3)*(a - 2)**2*(a + 304)/4
Find i, given that -3*i**5 - 24*i**4 - 72*i**3 - 96*i**2 - 48*i = 0.
-2, 0
Factor -2*h**3 - 2*h**2 + 8*h + 8.
-2*(h - 2)*(h + 1)*(h + 2)
Find v such that -3*v**5/4 - 9*v**4/2 +