5/5 - 2*n**4/5 - 2*n**3 - 6*n**2/5 = 0.
-1, 0, 3
Let -5*f**5/4 - 1425*f**4/4 - 107715*f**3/4 - 877715*f**2/4 - 359490*f - 166635 = 0. What is f?
-138, -7, -1
Determine w, given that -6*w**4/5 - 4*w**3 + 218*w**2/5 - 88*w/5 - 64 = 0.
-8, -1, 5/3, 4
Solve 104*v**5/9 - 2*v**4/3 - 104*v**3/9 + 2*v**2/3 = 0 for v.
-1, 0, 3/52, 1
Factor v**3 - 57*v**2 + 1083*v - 6859.
(v - 19)**3
Factor 4*a**2 + 44*a + 96.
4*(a + 3)*(a + 8)
Let -z**3 + 2*z**2 + 7*z + 4 = 0. Calculate z.
-1, 4
Factor i**2/4 + i/4.
i*(i + 1)/4
Factor -140*w**3 - 832*w**2 + 3828*w - 216.
-4*(w - 3)*(w + 9)*(35*w - 2)
Factor 2*z**2/17 - 10*z/17 - 72/17.
2*(z - 9)*(z + 4)/17
Factor 20*p**4 - 25*p**3 + 5*p**2.
5*p**2*(p - 1)*(4*p - 1)
Solve 2*d**5/7 + 6*d**4/7 - 2*d**3/7 - 6*d**2/7 = 0.
-3, -1, 0, 1
Factor -r**4 - r**3 + 14*r**2 + 24*r.
-r*(r - 4)*(r + 2)*(r + 3)
Let b**4/7 - 2*b**3/7 + b**2/7 = 0. What is b?
0, 1
Factor 4*i**3/13 + 18*i**2/13 + 14*i/13 - 12/13.
2*(i + 2)*(i + 3)*(2*i - 1)/13
Suppose 245*k**4/4 + 9093*k**3/2 + 1013*k**2 - 1698*k + 296 = 0. What is k?
-74, -4/5, 2/7
Suppose 2*n**2/9 + 44*n/9 + 80/9 = 0. Calculate n.
-20, -2
Find y, given that 2*y**5 + 28*y**4 - 98*y**3 + 68*y**2 = 0.
-17, 0, 1, 2
Determine x, given that -x**5 + 2*x**4 + 10*x**3 - 20*x**2 - 9*x + 18 = 0.
-3, -1, 1, 2, 3
Factor 2*l**2/7 - 9*l/7 + 1.
(l - 1)*(2*l - 7)/7
Let -2*l**5/3 + 14*l**3/3 + 4*l**2/3 - 8*l - 16/3 = 0. Calculate l.
-2, -1, 2
Factor -3*j**4/5 - 3*j**3/5 + 6*j**2/5.
-3*j**2*(j - 1)*(j + 2)/5
Factor -w**5 - 55*w**4 - 728*w**3 + 784*w**2.
-w**2*(w - 1)*(w + 28)**2
Suppose 144*c**5 - 7824*c**4 - 30236*c**3 - 22680*c**2 + 10224*c - 928 = 0. Calculate c.
-2, 1/6, 58
Find o such that 3*o**3 - 504*o**2 - 507*o = 0.
-1, 0, 169
Let -33*r**3/7 + 183*r**2/7 - 288*r/7 + 108/7 = 0. Calculate r.
6/11, 2, 3
Factor -3*x**2/2 - 279*x/2 - 138.
-3*(x + 1)*(x + 92)/2
Factor 35*q**3 - 1690*q**2 - 1235*q + 490.
5*(q - 49)*(q + 1)*(7*q - 2)
Find r such that -5*r**3 - 585*r**2 - 570*r + 1160 = 0.
-116, -2, 1
Suppose 5*n**5 - 107*n**4/2 + 203*n**3/2 + 238*n**2 + 6*n - 72 = 0. What is n?
-1, -4/5, 1/2, 6
Suppose 2*n**2/7 - 584*n/7 + 42632/7 = 0. Calculate n.
146
Factor -3*t**4/2 + 2*t**3 - 2*t**2/3.
-t**2*(3*t - 2)**2/6
Let -3*j**5/5 + 68*j**4/5 - 107*j**3/5 + 42*j**2/5 = 0. Calculate j.
0, 2/3, 1, 21
Find n such that -4*n**2 + 90*n + 46 = 0.
-1/2, 23
Factor j**3/10 + j**2/5 - 29*j/10 - 3.
(j - 5)*(j + 1)*(j + 6)/10
Factor i**3/4 - 99*i**2/4 + 96*i - 95.
(i - 95)*(i - 2)**2/4
Factor 2888*j**3/17 + 2736*j**2/17 - 150*j/17 + 2/17.
2*(j + 1)*(38*j - 1)**2/17
Let 5*o**5/3 + 6*o**4 - 56*o**3/3 = 0. What is o?
-28/5, 0, 2
Determine n, given that 14*n**4/5 + 198*n**3/5 + 658*n**2/5 + 18*n = 0.
-9, -5, -1/7, 0
Determine u so that -2*u**3/7 + 6*u**2/7 - 8/7 = 0.
-1, 2
Solve o**5/4 + o**4/2 - 39*o**3/4 - 38*o**2 - 28*o = 0 for o.
-4, -1, 0, 7
Suppose 729*x**5 - 6669*x**4 + 20659*x**3 - 22635*x**2 + 3024*x - 108 = 0. Calculate x.
2/27, 3
Solve 3*x**2/5 + 57*x/5 + 102/5 = 0.
-17, -2
Factor 9*i**4 + 42*i**3 - 83*i**2 - 68*i - 12.
(i - 2)*(i + 6)*(3*i + 1)**2
Let 104882*c**4/7 + 1832*c**3/7 + 8*c**2/7 = 0. What is c?
-2/229, 0
Suppose d**4 + 121*d**3 + 3944*d**2 + 16820*d = 0. Calculate d.
-58, -5, 0
Let -3*o**5 - 6*o**4 + 18*o**3 + 60*o**2 + 57*o + 18 = 0. What is o?
-2, -1, 3
Suppose r**3/4 + 2*r**2 = 0. What is r?
-8, 0
Determine r, given that 4*r**3/3 + 8*r**2 - 28*r/3 = 0.
-7, 0, 1
Find v such that -9*v**5 + 48*v**4 - 87*v**3 + 60*v**2 - 12*v = 0.
0, 1/3, 1, 2
Solve -414*d**4/11 + 312*d**3/11 + 344*d**2/11 - 32*d/11 = 0 for d.
-2/3, 0, 2/23, 4/3
Solve 5*q**4 - 7445*q**3 + 2782545*q**2 - 8295595*q + 5520490 = 0 for q.
1, 2, 743
Let -6*h**4/17 + 2*h**3/17 + 244*h**2/17 - 512*h/17 - 448/17 = 0. Calculate h.
-7, -2/3, 4
Solve 12*u**2 - 296*u - 3136 = 0.
-8, 98/3
Factor -3*w**3 + 39*w**2 - 105*w - 147.
-3*(w - 7)**2*(w + 1)
Solve -r**3 - 65*r**2/2 - 76*r - 30 = 0 for r.
-30, -2, -1/2
Factor 3*k**2/4 + 75*k/4 - 225/2.
3*(k - 5)*(k + 30)/4
Determine c so that -4*c**5 + 12*c**4 + 24*c**3 - 40*c**2 - 84*c - 36 = 0.
-1, 3
Factor 5*a**4/4 + 25*a**3/2 + 40*a**2 + 95*a/2 + 75/4.
5*(a + 1)**2*(a + 3)*(a + 5)/4
Solve -3*s**3/8 + 39*s**2/8 + 69*s/4 + 12 = 0 for s.
-2, -1, 16
Solve 3*d**4/7 + 12*d**3/7 - 111*d**2/7 - 120*d/7 = 0 for d.
-8, -1, 0, 5
Let 405*w**5 - 180*w**4 - 8485*w**3 - 4320*w**2 + 3180*w - 400 = 0. Calculate w.
-4, -1, 2/9, 5
Determine j so that j**3 + 34*j**2 + 320*j + 512 = 0.
-16, -2
Find w, given that -5*w**4 + 130*w**3 - 1085*w**2 + 2940*w = 0.
0, 7, 12
Determine a, given that -49*a**3/3 + 2044*a**2/3 + 587*a/3 + 14 = 0.
-1/7, 42
Solve -g**2/3 + 302*g/3 + 101 = 0 for g.
-1, 303
Factor 2*k**4 + 126*k**3 + 2516*k**2 + 15912*k + 13520.
2*(k + 1)*(k + 10)*(k + 26)**2
Solve -a**4 + 5*a**3 + 11*a**2 - 33*a + 18 = 0.
-3, 1, 6
Determine f, given that -6*f**2 - 406*f - 268 = 0.
-67, -2/3
Let -u**3 + 241*u**2 + 242*u = 0. Calculate u.
-1, 0, 242
Solve -9*n**5/7 - 39*n**4/7 - 33*n**3/7 + 15*n**2/7 + 18*n/7 = 0.
-3, -1, 0, 2/3
Suppose -x**3 + 145*x**2 + 146*x = 0. Calculate x.
-1, 0, 146
Find o such that -5*o**3 + 45*o**2 - 40*o = 0.
0, 1, 8
Determine t, given that -25*t**4 + 45*t**3 + 105*t**2 - 25*t - 60 = 0.
-1, 4/5, 3
Factor -2*j**4 - 70*j**3 - 464*j**2 - 864*j.
-2*j*(j + 4)**2*(j + 27)
Factor 3*y**3 + 459*y**2 + 23409*y + 397953.
3*(y + 51)**3
Suppose 14*g**5/9 + 74*g**4/9 + 104*g**3/9 + 8*g**2/3 = 0. Calculate g.
-3, -2, -2/7, 0
Factor -4*t**4 + 8*t**2 - 4.
-4*(t - 1)**2*(t + 1)**2
Factor -z**3/4 + 13*z**2/2 + 40*z - 1400.
-(z - 20)**2*(z + 14)/4
Find d such that -d**4/2 - d**3 + 112*d**2 + 225*d + 225/2 = 0.
-15, -1, 15
Factor 5*l**5 - 15*l**4.
5*l**4*(l - 3)
Factor -5*x**4 + 170*x**3 - 945*x**2.
-5*x**2*(x - 27)*(x - 7)
Factor b**2 + 66*b + 65.
(b + 1)*(b + 65)
Find a such that 3*a**5 - 69*a**4 + 414*a**3 + 486*a**2 - 6561*a - 6561 = 0.
-3, -1, 9
Find d such that 2*d**5/15 - 92*d**4/15 + 656*d**3/15 - 1888*d**2/15 + 2464*d/15 - 1216/15 = 0.
2, 38
Solve 2*y**5 + 22*y**4 + 58*y**3 - 46*y**2 - 180*y + 144 = 0 for y.
-6, -4, -3, 1
Determine s so that s**2 - 2*s - 24 = 0.
-4, 6
Factor -1152*g**3/11 - 3360*g**2/11 + 26*g - 6/11.
-2*(g + 3)*(24*g - 1)**2/11
Factor -5*v**2 + 20*v + 1785.
-5*(v - 21)*(v + 17)
Find x, given that 3*x**4 - 51*x**3 + 189*x**2 + 243*x = 0.
-1, 0, 9
Suppose -3*y**2 - 15*y + 42 = 0. Calculate y.
-7, 2
Factor 2*g**4 + 20*g**3 + 66*g**2 + 80*g + 32.
2*(g + 1)**2*(g + 4)**2
Solve k**4/5 - 2*k**3 + 4*k**2/5 + 42*k/5 + 27/5 = 0.
-1, 3, 9
Factor -4*q**3 + 4*q.
-4*q*(q - 1)*(q + 1)
Determine r so that r**3/8 - 1229*r**2/8 - 7401*r/8 - 11115/8 = 0.
-3, 1235
Factor -3*c**2/4 + 615*c/2 - 126075/4.
-3*(c - 205)**2/4
What is q in 18*q**5 + 168*q**4 + 470*q**3 + 424*q**2 + 120*q = 0?
-5, -3, -2/3, 0
Factor -r**2 + 147*r + 148.
-(r - 148)*(r + 1)
What is h in -3*h**2 + 13620*h - 15458700 = 0?
2270
Find n, given that 18*n**2/5 - 974*n/5 + 108/5 = 0.
1/9, 54
Determine v so that -3*v**4/2 + 21*v**3/2 - 21*v**2/2 - 45*v/2 = 0.
-1, 0, 3, 5
Let 3*u**2 - 44286*u + 163437483 = 0. Calculate u.
7381
Let 5*c**2 - 250*c + 3045 = 0. What is c?
21, 29
Solve -4*j**5 - 80*j**4 - 372*j**3 - 488*j**2 + 272*j + 672 = 0 for j.
-14, -3, -2, 1
Find r, given that 3*r**4 - 33*r**3 + 72*r**2 + 12*r - 96 = 0.
-1, 2, 8
Factor 4*c**4 + 236*c**3 + 1320*c**2 + 2576*c + 1696.
4*(c + 2)**3*(c + 53)
Find b, given that b**3/6 + b**2/2 - b/6 - 1/2 = 0.
-3, -1, 1
Let -u**2/3 + 26*u - 507 = 0. Calculate u.
39
Factor -2*y**5/13 - 94*y**4/13 - 672*y**3/13 - 1936*y**2/13 - 2528*y/13 - 96.
-2*(y + 2)**4*(y + 39)/13
Factor -3*m**5/2 - 15*m**4/2 - 9*m**3.
-3*m**3*(m + 2)*(m + 3)/2
Factor d**5 - 8*d**4 + 25*d**3 - 38*d**2 + 28*d - 8.
(d - 2)**3*(d - 1)**2
Suppose -x**2/2 + 185*x/2 - 362 = 0. What is x?
4, 181
Factor g**3 + 14*g**2 + 33*g.
g*(g + 3)*(g + 11)
Let -4*x**5 + 396*x**4 - 1156*x**3 + 372*x**2 + 1160*x - 768 = 0. Calculate x.
-1, 1, 2, 96
Factor 3*j**2/4 - 147*j/4.
3*j*(j - 49)/4
Find c, given that -c**5 + 5*c**3 - 4*c = 0.
-2, -1, 0, 1, 2
Determine f so that 2*f**3/21 + 3058*f**2/21 + 1170448*f/21 + 1167392/21 = 0.
-764, -1
Determine v, given that -3*v**5 - 45*v**4 - 177*v**3 - 291*v**2 - 216*v - 60 = 0.
-10, -2, -1
Find b such that 2*b**5 - 56*b**3 - 108*b**2 + 54*b + 108 = 0.
-3, -1, 1, 6
Determine i, given that -2*i**5 - 4*i**4 + 112*i**3 + 116