3
Suppose -k**2/4 + 139*k/2 + 279/4 = 0. Calculate k.
-1, 279
Determine d so that -d**2/3 + 492*d - 181548 = 0.
738
Let -3*w**4/7 - 75*w**3/7 - 267*w**2/7 - 321*w/7 - 18 = 0. What is w?
-21, -2, -1
Solve 3*b**4/5 - 5*b**3 + 6*b**2/5 + 16*b/5 = 0.
-2/3, 0, 1, 8
Determine b, given that 2*b**5/5 - 2*b**4 + 16*b**3/5 - 8*b**2/5 = 0.
0, 1, 2
Suppose c**4/3 + 247*c**3/3 + 245*c**2 + 733*c/3 + 244/3 = 0. What is c?
-244, -1
Factor 2*v**4/9 - 4*v**3/9 - 10*v**2/9 + 4*v/3.
2*v*(v - 3)*(v - 1)*(v + 2)/9
Find z, given that 9*z**5/2 - 42*z**4 + 253*z**3/2 - 163*z**2 + 94*z - 20 = 0.
2/3, 1, 2, 5
Find m such that m**2/4 - 3*m + 9 = 0.
6
Factor 5*t**4 - 30*t**3 + 45*t**2 - 20*t.
5*t*(t - 4)*(t - 1)**2
Factor z**2/3 + 221*z/3 - 446/3.
(z - 2)*(z + 223)/3
Let d**5/6 + 3*d**4/2 + 5*d**3/2 + 7*d**2/6 = 0. Calculate d.
-7, -1, 0
Solve -3*n**3 - 966*n**2 + 2919*n - 1950 = 0.
-325, 1, 2
Suppose 3*l**5 + 15*l**4 - 9*l**3 - 51*l**2 - 30*l = 0. Calculate l.
-5, -1, 0, 2
Suppose -8*n**5 - 12*n**4 + 68*n**3 - 52*n**2 - 12*n + 16 = 0. What is n?
-4, -1/2, 1
Factor -v**2/3 + 11*v/3 - 28/3.
-(v - 7)*(v - 4)/3
Factor 3*w**5 - 15*w**4 + 3*w**3 + 63*w**2 - 54*w.
3*w*(w - 3)**2*(w - 1)*(w + 2)
Factor -2*n**4/9 - 88*n**3/9 - 968*n**2/9.
-2*n**2*(n + 22)**2/9
Factor 2*q**4 - 36*q**3 - 6*q**2 + 104*q + 72.
2*(q - 18)*(q - 2)*(q + 1)**2
Solve -51*s**5/7 + 1315*s**4/7 - 8297*s**3/7 - 2799*s**2/7 + 884*s - 676/7 = 0.
-1, 2/17, 2/3, 13
Let d**4 + 9*d**3/2 + 3*d**2/2 - 2*d = 0. What is d?
-4, -1, 0, 1/2
Let -81486190242*g**3 + 71042886*g**2 - 20646*g + 2 = 0. Calculate g.
1/3441
What is t in t**5/3 - 2*t**4/3 - t**3/3 + 2*t**2/3 = 0?
-1, 0, 1, 2
Solve h**4/6 + 7*h**3/6 + h**2 - 14*h/3 - 20/3 = 0 for h.
-5, -2, 2
What is h in h**4/5 + 7*h**3/5 - h**2/5 - 7*h/5 = 0?
-7, -1, 0, 1
Factor 3*y**5 + 3*y**4 - 12*y**3 - 12*y**2.
3*y**2*(y - 2)*(y + 1)*(y + 2)
Factor 2*t**4/3 + 8*t**3/3 - 2*t**2 - 20*t/3 + 16/3.
2*(t - 1)**2*(t + 2)*(t + 4)/3
Determine a so that 2*a**2/11 - 4*a/11 - 16/11 = 0.
-2, 4
Suppose 4*q**2 - 188*q + 184 = 0. Calculate q.
1, 46
Find h such that -3*h**2/7 + 1080*h/7 - 97200/7 = 0.
180
Factor 5*l**2 + 6670*l + 2224445.
5*(l + 667)**2
Let -2*t**4 + 3*t**3 + 24*t**2 - 13*t - 12 = 0. What is t?
-3, -1/2, 1, 4
Factor -2025*t**3 + 77130*t**2 - 6844*t + 152.
-(t - 38)*(45*t - 2)**2
Solve 6*u**5 - 266*u**4 - 470*u**3 + 450*u**2 + 464*u - 184 = 0 for u.
-2, -1, 1/3, 1, 46
Factor -44*s**2 + 108*s + 72.
-4*(s - 3)*(11*s + 6)
Factor -3*v**3/5 + 36*v**2/5 - 33*v/5.
-3*v*(v - 11)*(v - 1)/5
Factor z**2/4 - 169*z/4 - 171/2.
(z - 171)*(z + 2)/4
Find s such that s**3/3 - 20*s**2/3 - s/3 + 20/3 = 0.
-1, 1, 20
Solve -3*p**3 + 3*p**2 + 15*p + 9 = 0 for p.
-1, 3
Suppose 4*x**4 + 20*x**3 - 100*x**2 - 20*x + 96 = 0. Calculate x.
-8, -1, 1, 3
Factor -4*y**3/7 + 12*y/7 + 8/7.
-4*(y - 2)*(y + 1)**2/7
Factor 2*j**3/15 - 2*j**2/3 - 44*j/15 - 32/15.
2*(j - 8)*(j + 1)*(j + 2)/15
Determine p, given that -2*p**2 - 32*p + 2322 = 0.
-43, 27
Find c such that -3*c**3 + 9*c**2 + 54*c = 0.
-3, 0, 6
Factor -3*l**2 + 909*l + 912.
-3*(l - 304)*(l + 1)
Suppose -28*f**3 + 8*f**2 + 28*f - 8 = 0. Calculate f.
-1, 2/7, 1
Find c, given that 8*c**2/9 - 106*c/9 + 82/3 = 0.
3, 41/4
What is f in -48*f**5 - 10008*f**4 - 493179*f**3 + 2996229*f**2 - 1405017*f + 171735 = 0?
-107, 1/4, 5
Factor -2*w**3/7 + 2*w**2/7 + 8*w/7 - 8/7.
-2*(w - 2)*(w - 1)*(w + 2)/7
Determine n so that -n**5 + 24*n**4 + 79*n**3 + 54*n**2 = 0.
-2, -1, 0, 27
Find b such that -b**2 + 8*b + 105 = 0.
-7, 15
Factor 3*g**2 - 66*g.
3*g*(g - 22)
Factor -2*u**3 + 24*u - 32.
-2*(u - 2)**2*(u + 4)
Find f such that -f**3 + 36*f**2 - 224*f = 0.
0, 8, 28
Let -3*b**2 - 48*b + 315 = 0. Calculate b.
-21, 5
Factor -2*h**4/5 + 4*h**3/5 + 42*h**2/5 + 36*h/5.
-2*h*(h - 6)*(h + 1)*(h + 3)/5
Factor -2*u**2 + 12*u + 144.
-2*(u - 12)*(u + 6)
Find h, given that -h**2 - 1668*h - 695556 = 0.
-834
Solve -5*d**2 - 45*d - 40 = 0.
-8, -1
Factor 18*h**2/5 - 58*h/15 + 4/15.
2*(h - 1)*(27*h - 2)/15
Solve -i**5 + 100*i**4 - 2397*i**3 - 5202*i**2 = 0.
-2, 0, 51
Factor 2*h**3 - 50*h**2 + 374*h - 726.
2*(h - 11)**2*(h - 3)
Find l, given that -l**4/7 + 17*l**2/7 - 16/7 = 0.
-4, -1, 1, 4
Let y**2/4 + 54*y + 2916 = 0. Calculate y.
-108
Factor 2*v**4 + 40*v**3 + 204*v**2 - 216*v - 2430.
2*(v - 3)*(v + 5)*(v + 9)**2
Factor -2*g**2/7 + 16*g - 318/7.
-2*(g - 53)*(g - 3)/7
Let -9*c**5 + 346*c**4 - 485*c**3 + 148*c**2 = 0. Calculate c.
0, 4/9, 1, 37
Factor -2*z**3 + 72*z**2 + 150*z + 76.
-2*(z - 38)*(z + 1)**2
Determine r so that r**4/5 - 16*r**3/5 + 24*r**2/5 + 64*r + 80 = 0.
-2, 10
Find s, given that 3*s**2 - 1086*s + 1083 = 0.
1, 361
What is q in -24*q**4/7 - 2*q**3/7 + 26*q**2/7 + 2*q/7 - 2/7 = 0?
-1, -1/3, 1/4, 1
What is u in -2*u**2/15 - 224*u/5 - 18816/5 = 0?
-168
Determine q so that -q**4/3 + 10*q**3/3 + 23*q**2/3 + 4*q = 0.
-1, 0, 12
Suppose 2*w**3/7 - 2*w**2 - 68*w/7 + 80/7 = 0. Calculate w.
-4, 1, 10
Factor 3*o**5 + 27*o**4 + 69*o**3 + 45*o**2.
3*o**2*(o + 1)*(o + 3)*(o + 5)
Solve r**4/5 - 13*r**3/5 + 44*r**2/5 - 32*r/5 = 0.
0, 1, 4, 8
Suppose q**3/2 + 5*q**2 + 8*q = 0. What is q?
-8, -2, 0
Factor 5*c**2/4 + 75*c + 1120.
5*(c + 28)*(c + 32)/4
Factor -5*f**3 + 4360*f**2.
-5*f**2*(f - 872)
Find r such that -20*r**2 + 192*r + 80 = 0.
-2/5, 10
Let 3*g**4 + 1044*g**3 + 94860*g**2 + 693600*g = 0. Calculate g.
-170, -8, 0
Factor 2*l**3/5 + 722*l**2/5 + 13104*l + 12960.
2*(l + 1)*(l + 180)**2/5
Find i such that 2*i**4/9 - 28*i**3/3 - 2*i**2/3 + 256*i/9 - 56/3 = 0.
-2, 1, 42
Find r such that r**4/4 + 7*r**3/4 + 11*r**2/4 - 7*r/4 - 3 = 0.
-4, -3, -1, 1
Let -2*j**4/13 + 34*j**3/13 - 150*j**2/13 + 198*j/13 = 0. Calculate j.
0, 3, 11
Factor -2*j**3 - 2928*j**2 - 1071648*j.
-2*j*(j + 732)**2
Factor -2*m**3 + 4*m**2 + 58*m + 84.
-2*(m - 7)*(m + 2)*(m + 3)
Factor 3*h**2/5 - 174*h/5.
3*h*(h - 58)/5
Solve 2*s**5 + 11*s**4 - 55*s**2 - 22*s + 24 = 0 for s.
-4, -3, -1, 1/2, 2
Factor c**4 - 28*c**3 - 199*c**2 - 170*c.
c*(c - 34)*(c + 1)*(c + 5)
Factor -2*x**2 - 30*x - 88.
-2*(x + 4)*(x + 11)
Factor 2*d**5 + 4*d**4 - 10*d**3 - 12*d**2.
2*d**2*(d - 2)*(d + 1)*(d + 3)
Determine c so that -68*c**2 - 44*c + 112 = 0.
-28/17, 1
Factor 12*p**3 - 196*p**2 - 136*p.
4*p*(p - 17)*(3*p + 2)
Let 30*g**3 + 3537*g**2 + 104076*g - 10443 = 0. Calculate g.
-59, 1/10
Suppose 2*q**4 - 522*q**3 = 0. Calculate q.
0, 261
Suppose -u**2/4 - 26*u + 105/4 = 0. What is u?
-105, 1
Solve 39*w**3 + 72*w**2 - 12*w = 0 for w.
-2, 0, 2/13
Determine d, given that -3*d**4 - 30*d**3 - 111*d**2 - 180*d - 108 = 0.
-3, -2
Solve -886*m**3/3 - 890*m**2/3 - 4*m/3 = 0.
-1, -2/443, 0
Factor -a**5 - 13*a**4 - 23*a**3 - 11*a**2.
-a**2*(a + 1)**2*(a + 11)
Factor 3*z**3 - 92*z**2 + 147*z - 58.
(z - 29)*(z - 1)*(3*z - 2)
Factor a**3 + 16*a**2 - 35*a + 18.
(a - 1)**2*(a + 18)
Let 16*k**4 + 116*k**3 - 676*k**2 - 176*k = 0. What is k?
-11, -1/4, 0, 4
What is x in 2*x**4/15 - 4*x**3/5 + 22*x**2/15 - 4*x/5 = 0?
0, 1, 2, 3
Determine j, given that -11025*j**2/4 - 105*j - 1 = 0.
-2/105
Factor 380*l**2 + 65*l.
5*l*(76*l + 13)
Find z such that 9898*z**3/11 + 4*z**2/11 - 9898*z/11 - 4/11 = 0.
-1, -2/4949, 1
Suppose 3*y**5/11 + 17*y**4/11 + 16*y**3/11 - 20*y**2/11 - 16*y/11 = 0. What is y?
-4, -2, -2/3, 0, 1
Solve -3*w**3 - 144*w**2 + 147*w = 0 for w.
-49, 0, 1
Suppose -3*d**4/8 - 27*d**3/8 - 21*d**2/2 - 27*d/2 - 6 = 0. Calculate d.
-4, -2, -1
Factor 3*o**4/5 + 24*o**3/5 - 27*o**2/5 - 324*o/5 + 324/5.
3*(o - 3)*(o - 1)*(o + 6)**2/5
What is k in k**2/7 - 162*k/7 + 23 = 0?
1, 161
Factor 4*n**3 - 300*n**2 + 2208*n - 4288.
4*(n - 67)*(n - 4)**2
Determine p so that 25*p**4/2 - 160*p**3 + 519*p**2/2 - 134*p + 22 = 0.
2/5, 1, 11
Solve 5*z**2 + 505*z - 2100 = 0.
-105, 4
Let -125*q**4 - 950*q**3 - 2405*q**2 - 2280*q - 720 = 0. What is q?
-3, -4/5
Factor 5*g**2 - 1090*g + 3225.
5*(g - 215)*(g - 3)
Factor 3*o**2/4 - 99*o/2 + 780.
3*(o - 40)*(o - 26)/4
Solve k**3 - 4948*k**2/5 + 244629*k + 98010 = 0.
-2/5, 495
Let 10*h**3 + 2185*h**2 + 119900*h + 59405 = 0. What is h?
-109, -1/2
Factor 21*c**2/2 + 30*c - 9/2.
3*(c + 3)*(7*c - 1)/2
Suppose 4*t**5 - 8*t**4 - 4*t**3 + 8*t**2 = 0. What is t?
-1, 0, 1, 2
Solve -28*u**2 + 4072*u - 1036324/7 = 0.
509/7
Factor -3*p**5 - 15*p**4/2 - 9*p**3/2 + 3*p**2/2 + 3*p/2.
-3*p*(p + 1)**3*(2*p - 1)/2
Factor 2*r**4 - 6*r**3 - 8*r**2.
2*r**2*(r - 4)*