)**3/2
Determine k so that 4*k**4/7 + 52*k**3/7 + 192*k**2/7 + 272*k/7 + 128/7 = 0.
-8, -2, -1
Determine w, given that 2*w**3/7 - 306*w**2/7 + 1650*w + 1694 = 0.
-1, 77
Suppose -3*p**4 + 27*p**3 - 84*p**2 + 108*p - 48 = 0. Calculate p.
1, 2, 4
Determine m, given that m**3/9 - 74*m**2/3 + 1369*m = 0.
0, 111
Let -12*r**5 + 296*r**4 - 416*r**3 - 1000*r**2 - 276*r = 0. What is r?
-1, -1/3, 0, 3, 23
Factor -m**2/5 + 39*m/5 - 324/5.
-(m - 27)*(m - 12)/5
Determine r, given that -2*r**5 + 70*r**4 - 686*r**3 + 466*r**2 + 12496*r + 16456 = 0.
-2, 11, 17
Factor a**3/3 + 19*a**2/3 + 50*a/3 + 32/3.
(a + 1)*(a + 2)*(a + 16)/3
Let 5*w**4/4 - 115*w**3/4 - 525*w**2/4 - 405*w/4 = 0. What is w?
-3, -1, 0, 27
Suppose -8*f**3/7 - 34*f**2/7 + 160*f/7 + 6 = 0. Calculate f.
-7, -1/4, 3
Let -4*u**5 - 42*u**4 - 32*u**3 + 210*u**2 + 108*u = 0. Calculate u.
-9, -3, -1/2, 0, 2
Factor -3*n**5/2 - 3*n**4 - 3*n**3/8 + 15*n**2/8 + 3*n/8 - 3/8.
-3*(n + 1)**3*(2*n - 1)**2/8
Factor -q**3/4 + 5*q**2 - 37*q/4 + 9/2.
-(q - 18)*(q - 1)**2/4
Find v such that 5*v**4/4 - 23*v**3/4 + 11*v + 4 = 0.
-1, -2/5, 2, 4
Let -2*r**2 - 16*r = 0. What is r?
-8, 0
Solve t**2 - 999*t - 3006 = 0 for t.
-3, 1002
Factor -2*d**4/7 - 60*d**3/7 - 450*d**2/7.
-2*d**2*(d + 15)**2/7
Factor -5*x**3 + 29*x**2 - 19*x - 5.
-(x - 5)*(x - 1)*(5*x + 1)
Factor 6*d**3/5 + 132*d**2/5 + 936*d/5 + 432.
6*(d + 6)**2*(d + 10)/5
Factor -3*u**2/7 - 975*u/7 - 972/7.
-3*(u + 1)*(u + 324)/7
Factor 4*a**2 + 428*a - 2240.
4*(a - 5)*(a + 112)
Determine p, given that p**5/8 + 3*p**4/4 + p**3/4 - 2*p**2 - 3*p/8 + 5/4 = 0.
-5, -2, -1, 1
Factor -4*i**5 - 4*i**4 + 4*i**3 + 4*i**2.
-4*i**2*(i - 1)*(i + 1)**2
Let -2*f**3/7 - 10*f**2/7 + 92*f/7 - 80/7 = 0. Calculate f.
-10, 1, 4
What is y in -5*y**5 + 45*y**4 + 110*y**3 = 0?
-2, 0, 11
Factor -4*q**5 - 992*q**4 - 62488*q**3 - 122016*q**2 - 60516*q.
-4*q*(q + 1)**2*(q + 123)**2
Determine z, given that z**2/4 + 67*z/4 = 0.
-67, 0
Find v, given that 6*v**2/7 + 8*v + 64/7 = 0.
-8, -4/3
Factor h**2 + 228*h + 12996.
(h + 114)**2
Factor i**2 + 27*i - 520.
(i - 13)*(i + 40)
Suppose -3*q**3 + 1590*q**2 - 210675*q = 0. Calculate q.
0, 265
Factor 2*b**3/11 + 966*b**2/11 + 155526*b/11 + 8346562/11.
2*(b + 161)**3/11
Let -r**3 - 78*r**2 - 296*r = 0. What is r?
-74, -4, 0
Suppose -40*u**2 - 436*u + 44 = 0. What is u?
-11, 1/10
Factor -5*j**4 - 45*j**3 + 15*j**2 + 145*j + 90.
-5*(j - 2)*(j + 1)**2*(j + 9)
Determine g so that -2*g**2/3 - 112*g/3 - 256 = 0.
-48, -8
Factor 4*p**2 - 620*p + 3576.
4*(p - 149)*(p - 6)
Factor 4*k**4 + 112*k**3 + 212*k**2 + 104*k.
4*k*(k + 1)**2*(k + 26)
Determine r so that r**5/3 + 110*r**4/3 + 3022*r**3/3 - 332*r**2/3 - 9295*r/3 - 6050/3 = 0.
-55, -1, 2
Solve 2*f**4/13 + 42*f**3/13 - 90*f**2/13 + 46*f/13 = 0.
-23, 0, 1
Factor 5*l**3/4 - 95*l**2/2 - 205*l - 210.
5*(l - 42)*(l + 2)**2/4
Solve -v**3/3 - 3*v**2 + 34*v/3 - 8 = 0 for v.
-12, 1, 2
Suppose 4*f**3 - 12*f**2 + 12*f - 4 = 0. Calculate f.
1
Find y such that -24*y**2 - 201*y + 135 = 0.
-9, 5/8
Suppose 21*v**4 + 4185*v**3 + 206994*v**2 - 151200*v - 60000 = 0. What is v?
-100, -2/7, 1
Solve -b**5/3 - 5*b**4/6 + b**3 + 4*b**2/3 - 2*b/3 - 1/2 = 0.
-3, -1, -1/2, 1
Factor -2*j**4 - 17332*j**3 - 50060592*j**2 - 48174964812*j + 48225042738.
-2*(j - 1)*(j + 2889)**3
Solve i**3 - 22*i**2 + 136*i - 192 = 0.
2, 8, 12
Suppose -2*k**5/11 - 142*k**4/11 + 4*k**3/11 + 284*k**2/11 - 2*k/11 - 142/11 = 0. What is k?
-71, -1, 1
Factor i**4 + 6*i**3 - 7*i**2.
i**2*(i - 1)*(i + 7)
Suppose -10*x**4 - 136*x**3 + 66*x**2 + 136*x - 56 = 0. Calculate x.
-14, -1, 2/5, 1
Factor 2*u**4 + 14*u**3 + 34*u**2 + 34*u + 12.
2*(u + 1)**2*(u + 2)*(u + 3)
Let 2*b**3/3 - 134*b**2/3 - 2*b/3 + 134/3 = 0. What is b?
-1, 1, 67
Let -2*f**4/3 - 44*f**3/3 + 50*f**2 - 8*f/3 - 200/3 = 0. Calculate f.
-25, -1, 2
Factor -3*p**5 + 489*p**4 - 29766*p**3 + 796794*p**2 - 7650231*p - 8477283.
-3*(p - 41)**4*(p + 1)
Let 7*u**5/3 + 5*u**4/3 - 23*u**3/3 - u**2/3 + 16*u/3 - 4/3 = 0. What is u?
-2, -1, 2/7, 1
Determine n so that 2*n**3/7 + 2*n**2/7 - 288*n/7 - 288/7 = 0.
-12, -1, 12
Let 60*p**2 + 355*p - 30 = 0. Calculate p.
-6, 1/12
Solve 3*t**3/4 + 159*t**2/4 + 2805*t/4 + 16473/4 = 0 for t.
-19, -17
Let -a**5/6 + 4*a**4/3 - 47*a**2/3 + 65*a/6 + 25 = 0. What is a?
-3, -1, 2, 5
Determine v so that -30*v**2 - 65*v - 10 = 0.
-2, -1/6
Determine z, given that -4*z**4 + 24*z**3 = 0.
0, 6
Suppose -4*w**4 + 692*w**3 - 1372*w**2 + 684*w = 0. What is w?
0, 1, 171
Factor 3*n**2 - 84*n.
3*n*(n - 28)
Find d, given that 2*d**4/7 + 24*d**3/7 = 0.
-12, 0
Determine r so that 2*r**3/7 - 10*r**2/7 + 12*r/7 = 0.
0, 2, 3
Factor -j**3/3 + 35*j**2/3 - 323*j/3 + 289/3.
-(j - 17)**2*(j - 1)/3
Find g, given that 5*g**2 + 1030*g + 53045 = 0.
-103
Let 2*m**4/15 + 108*m**3/5 + 15458*m**2/15 + 63072*m/5 + 682112/15 = 0. Calculate m.
-73, -8
Determine k so that -4*k**4 - 48*k**3 + 4*k**2 + 48*k = 0.
-12, -1, 0, 1
Find q, given that -90*q**3 + 66*q**2 + 112*q/5 + 8/5 = 0.
-2/15, 1
Factor -3*i**3/4 + 3*i**2.
-3*i**2*(i - 4)/4
Factor -g**4/4 + 9*g**3/4 - 27*g**2/4 + 31*g/4 - 3.
-(g - 4)*(g - 3)*(g - 1)**2/4
Solve -4*c**2/5 - 488*c/5 - 484/5 = 0 for c.
-121, -1
Let 2*x**4/13 + 28*x**3/13 + 24*x**2/13 - 28*x/13 - 2 = 0. What is x?
-13, -1, 1
Solve 4*o**3 + 36*o**2 - 432 = 0.
-6, 3
Factor -3*v**2 + 75*v + 78.
-3*(v - 26)*(v + 1)
Solve 2*l**5/13 - 2*l**4/13 - 14*l**3/13 + 2*l**2 - 12*l/13 = 0 for l.
-3, 0, 1, 2
Let -f**3 - 48*f**2 - 176*f = 0. Calculate f.
-44, -4, 0
Factor 5*q**2 - 190*q + 1805.
5*(q - 19)**2
What is l in 913*l**3/2 - 2741*l**2/2 + 916*l - 2 = 0?
2/913, 1, 2
Factor 12*m**3 - 393*m**2 + 2958*m + 4335.
3*(m - 17)**2*(4*m + 5)
Factor 2*l**4/5 + 4*l**3 + 56*l**2/5 + 48*l/5.
2*l*(l + 2)**2*(l + 6)/5
Factor -2*o**3/7 + 2*o**2.
-2*o**2*(o - 7)/7
Factor -222*f**3 - 10*f**2 + 222*f + 10.
-2*(f - 1)*(f + 1)*(111*f + 5)
What is w in 2*w**5 + 24*w**4 - 28*w**3 - 24*w**2 + 26*w = 0?
-13, -1, 0, 1
Suppose -2*m**4/7 - 76*m**3/7 - 794*m**2/7 - 1368*m/7 - 648/7 = 0. What is m?
-18, -1
Factor -2*x**4/7 + 2*x**3/7 + 2*x**2/7 - 2*x/7.
-2*x*(x - 1)**2*(x + 1)/7
Factor 14*k**3/11 + 4*k**2 + 34*k/11 + 4/11.
2*(k + 1)*(k + 2)*(7*k + 1)/11
Let -t**3/3 + 4*t**2 - 32*t/3 = 0. What is t?
0, 4, 8
Determine z, given that -2*z**2/7 + 134*z/7 - 1140/7 = 0.
10, 57
Factor 2*p**3 + 32*p**2 - 70*p + 36.
2*(p - 1)**2*(p + 18)
Factor 2*r**4/19 - 4*r**3/19.
2*r**3*(r - 2)/19
Solve -5*c**3 + 5845*c**2 - 11675*c + 5835 = 0 for c.
1, 1167
What is u in 2*u**3/3 + 56*u**2/3 - 250*u/3 + 64 = 0?
-32, 1, 3
Let 9*h**3 - 60*h**2 + 33*h + 18 = 0. Calculate h.
-1/3, 1, 6
Solve h**4 + 287*h**3 + 21018*h**2 + 61060*h + 40328 = 0 for h.
-142, -2, -1
Let r**2/4 - 5*r/2 + 4 = 0. What is r?
2, 8
Factor 2*d**3/7 + 50*d**2/7 - 2*d/7 - 50/7.
2*(d - 1)*(d + 1)*(d + 25)/7
Suppose -2*o**3/17 - 12*o**2/17 + 18*o/17 + 108/17 = 0. Calculate o.
-6, -3, 3
Solve -a**5/2 - 5*a**4 - 18*a**3 - 28*a**2 - 16*a = 0.
-4, -2, 0
Factor -2*k**2 + 170*k - 168.
-2*(k - 84)*(k - 1)
Let -h**4 - 2*h**3 + 111*h**2 + 332*h + 220 = 0. What is h?
-10, -2, -1, 11
Let 2*h**4/7 + 10*h**3/7 + 6*h**2/7 - 18*h/7 = 0. Calculate h.
-3, 0, 1
Suppose -7*d**5/9 - 199*d**4/3 - 1892*d**3/9 - 464*d**2/9 + 256*d + 656/9 = 0. What is d?
-82, -2, -2/7, 1
Factor p**3/2 - 23*p**2/2 - 38*p - 26.
(p - 26)*(p + 1)*(p + 2)/2
Factor -3*t**3/5 - 117*t**2/5 - 1296*t/5 - 2916/5.
-3*(t + 3)*(t + 18)**2/5
Find w such that -4*w**3 - 14*w**2 + 154*w + 80 = 0.
-8, -1/2, 5
What is j in 10*j**5 + 25*j**4 - 25*j**3 - 25*j**2 + 15*j = 0?
-3, -1, 0, 1/2, 1
Determine g so that 5*g**2 - 510*g - 1575 = 0.
-3, 105
Find z such that z**2/6 - 45*z/2 + 133/3 = 0.
2, 133
Find n, given that -2*n**5/5 + 14*n**4/5 - 18*n**3/5 - 38*n**2/5 + 44*n/5 + 48/5 = 0.
-1, 2, 3, 4
Factor 5*h**5 - 35*h**4 - 105*h**3 + 135*h**2.
5*h**2*(h - 9)*(h - 1)*(h + 3)
Factor 4*h**3 - 12*h**2 - 4*h + 12.
4*(h - 3)*(h - 1)*(h + 1)
What is x in -8*x**3/9 + 39458*x**2/9 - 5406568*x + 1351368 = 0?
1/4, 2466
Determine y, given that -y**3/2 + 9*y**2/2 + 53*y + 48 = 0.
-6, -1, 16
Let 3*y**5 + 102*y**4 - 114*y**3 - 300*y**2 + 519*y - 210 = 0. Calculate y.
-35, -2, 1
Factor -4*r**2 - 44*r - 40.
-4*(r + 1)*(r + 10)
What is c in 5*c**5 - 255*c**4 + 950*c**3 - 450*c**2 - 955*c + 705 = 0?
-1, 1, 3, 47
Factor -b**3/3 + 28*b**2 + 175*b/3 - 86.
-(b - 86)*(b - 1)*(b + 3