11*u**3/7 - 32*u**2/7 - 4*u/7 + 48/7 = 0. Calculate u.
-6, -4, -2, 1
Suppose 255*f**3 - 438*f**2 + 201*f - 18 = 0. Calculate f.
2/17, 3/5, 1
Find v such that v**2/4 + 27*v/4 + 13/2 = 0.
-26, -1
Find d, given that 3*d**4/5 - 261*d**3/5 + 4968*d**2/5 + 6348*d = 0.
-5, 0, 46
What is k in 30*k**5 - 141*k**4 + 251*k**3/3 + 2*k**2 - 8*k/3 = 0?
-1/6, 0, 1/5, 2/3, 4
Suppose -2*p**2 - 748*p - 2960 = 0. Calculate p.
-370, -4
Find t, given that -2*t**2 + 1220*t - 186050 = 0.
305
Solve 2*f**4/3 + 8*f**3/3 + 8*f**2/3 = 0.
-2, 0
Factor -o**2/2 + 3*o/2.
-o*(o - 3)/2
Factor 2*v**3/9 - 10*v**2/9 - 34*v/9 + 14/3.
2*(v - 7)*(v - 1)*(v + 3)/9
Suppose q**3 - 21*q**2 - 76*q + 96 = 0. Calculate q.
-4, 1, 24
Factor -5*w**3/3 + 140*w**2 + 1295*w/3 + 290.
-5*(w - 87)*(w + 1)*(w + 2)/3
Factor -3*r**2 - 1116*r - 1113.
-3*(r + 1)*(r + 371)
Factor 4*v**2 - 584*v + 580.
4*(v - 145)*(v - 1)
Suppose -f**2/5 - 54*f/5 - 136 = 0. What is f?
-34, -20
Determine v so that -2*v**5 - 18*v**4 - 26*v**3 + 90*v**2 + 100*v = 0.
-5, -1, 0, 2
Factor -2*r**2 + 972*r.
-2*r*(r - 486)
Factor -20*m**5 - 85*m**4 - 20*m**3.
-5*m**3*(m + 4)*(4*m + 1)
Solve 4*o**3 + 500*o**2 = 0 for o.
-125, 0
Determine a, given that 5*a**3 - 470*a**2 = 0.
0, 94
Factor -841*k**3/4 - 1189*k**2 + 1715*k/4 - 75/2.
-(k + 6)*(29*k - 5)**2/4
Factor 2*b**4/7 + 4*b**3/7 - 2*b**2/7 - 4*b/7.
2*b*(b - 1)*(b + 1)*(b + 2)/7
Factor 2*z**4 + 10*z**3 + 8*z**2.
2*z**2*(z + 1)*(z + 4)
Factor -3*d**4 - 63*d**3 + 81*d**2 + 339*d + 198.
-3*(d - 3)*(d + 1)**2*(d + 22)
Factor 5*w**2 - 1350*w + 1345.
5*(w - 269)*(w - 1)
Let 4*k**5/9 - 10*k**4/3 + 32*k**3/9 + 170*k**2/9 - 112*k/3 + 160/9 = 0. Calculate k.
-5/2, 1, 4
Let 4*y**2 + 2852*y + 5688 = 0. What is y?
-711, -2
Solve 2*s**5 - 20*s**4 - 16*s**3 + 160*s**2 + 32*s - 320 = 0.
-2, 2, 10
Factor -5*h**2/2 - 25*h - 125/2.
-5*(h + 5)**2/2
Find q such that -q**5/2 - 121*q**4/2 - 1919*q**3 - 5399*q**2 - 10561*q/2 - 3481/2 = 0.
-59, -1
Find r, given that 145*r**5 - 2310*r**4 + 12165*r**3 - 20900*r**2 - 1500*r = 0.
-2/29, 0, 5, 6
Let -n**2/2 - 1765*n/2 - 882 = 0. Calculate n.
-1764, -1
Find p, given that -4*p**3 + 64*p**2 - 116*p + 56 = 0.
1, 14
Let 2*y**2/9 - 14*y/9 + 8/3 = 0. What is y?
3, 4
Determine r, given that -4*r**5 - 24*r**4 + 64*r**3 - 8*r**2 - 60*r + 32 = 0.
-8, -1, 1
Let -m**5/5 - 56*m**4/5 - 257*m**3/5 - 94*m**2/5 + 408*m/5 = 0. What is m?
-51, -4, -2, 0, 1
Find g, given that 2*g**4 - 24*g**3 + 18*g**2 + 44*g = 0.
-1, 0, 2, 11
Find a such that 3*a**5/5 + 121*a**4/5 - 469*a**3/5 + 651*a**2/5 - 394*a/5 + 88/5 = 0.
-44, 2/3, 1
Let 2*r**3 - 156*r**2 + 568*r + 1776 = 0. What is r?
-2, 6, 74
Solve -4*h**3 - 48*h**2 + 324*h - 272 = 0 for h.
-17, 1, 4
Factor 3*v**2 - 765*v - 3900.
3*(v - 260)*(v + 5)
Determine j so that -40*j**5 - 308*j**4 - 160*j**3 + 280*j**2 + 200*j + 28 = 0.
-7, -1, -1/2, -1/5, 1
Let -2*d**3/13 - 46*d**2/13 + 8*d/13 + 184/13 = 0. What is d?
-23, -2, 2
Find c such that -3*c**5 + 8997*c**4 - 6758985*c**3 + 20223003*c**2 - 20205024*c + 6732012 = 0.
1, 1498
Factor -3*v**3 + 28*v**2 - 68*v + 48.
-(v - 6)*(v - 2)*(3*v - 4)
Factor 2*y**3/15 - 2*y**2/15 - 4*y/3 - 16/15.
2*(y - 4)*(y + 1)*(y + 2)/15
Determine n, given that -4*n**4 - 44*n**3 + 368*n - 320 = 0.
-10, -4, 1, 2
Factor 4*g**3/5 + 24*g**2 + 612*g/5 + 864/5.
4*(g + 3)**2*(g + 24)/5
Factor -2*f**5/9 - 4*f**4/9 + 2*f**3/3 + 8*f**2/9 - 8*f/9.
-2*f*(f - 1)**2*(f + 2)**2/9
Suppose 12*n**5 + 112*n**4 + 312*n**3 + 128*n**2 - 420*n - 144 = 0. What is n?
-4, -3, -1/3, 1
Factor -g**4/6 + 2*g**3/3 + 3*g**2 + 10*g/3 + 7/6.
-(g - 7)*(g + 1)**3/6
Suppose -5*y**5 - 45*y**4 - 50*y**3 + 390*y**2 + 775*y + 375 = 0. What is y?
-5, -1, 3
Solve 3*j**5 - 87*j**4 + 84*j**3 = 0.
0, 1, 28
Suppose 500*u**5/3 - 2350*u**4/3 + 1280*u**3 - 2672*u**2/3 + 832*u/3 - 32 = 0. What is u?
2/5, 3/2, 2
Factor -q**4/2 - 19*q**3/4 - 19*q**2/4 + 10*q.
-q*(q - 1)*(q + 8)*(2*q + 5)/4
Let -j**3/4 + 125*j**2/4 - 4087*j/4 + 11163/4 = 0. What is j?
3, 61
Let -2*t**3 - 6*t**2 - 4*t = 0. Calculate t.
-2, -1, 0
Determine y, given that 3*y**3 - 6*y**2 + 3*y = 0.
0, 1
What is k in -k**4/3 + 4*k**3/3 - 2*k**2/3 - 4*k/3 + 1 = 0?
-1, 1, 3
Factor 309*k**2 - 6*k.
3*k*(103*k - 2)
Find d, given that d**2/10 - d/5 + 1/10 = 0.
1
Factor 4*u**5 + 1328*u**4 - 1332*u**3.
4*u**3*(u - 1)*(u + 333)
Factor -4*i**2/5 - 1108*i/5.
-4*i*(i + 277)/5
Let 5*g**2 + 100*g - 11020 = 0. What is g?
-58, 38
Factor -2*y**3/11 - 70*y**2/11 + 2*y/11 + 70/11.
-2*(y - 1)*(y + 1)*(y + 35)/11
Factor 5*f**4 + 130*f**3 - 575*f**2 + 740*f - 300.
5*(f - 2)*(f - 1)**2*(f + 30)
Factor -n**2/5 - 11*n/5.
-n*(n + 11)/5
Let -l**2/3 - 143*l/3 - 556/3 = 0. Calculate l.
-139, -4
Suppose -125*n**2/4 + 1249*n/4 + 5/2 = 0. Calculate n.
-1/125, 10
Factor 2*h**2/13 + 1116*h/13 + 1114/13.
2*(h + 1)*(h + 557)/13
Factor -13*z**3 - z**2 + 38*z - 24.
-(z - 1)*(z + 2)*(13*z - 12)
Factor 3*c**3/2 + 135*c**2 + 531*c/2 + 132.
3*(c + 1)**2*(c + 88)/2
Find h, given that 24*h**5 - 220*h**4 + 612*h**3 - 576*h**2 + 80*h = 0.
0, 1/6, 2, 5
Factor 3*t**4 + 69*t**3 - 312*t**2 + 324*t.
3*t*(t - 2)**2*(t + 27)
Factor 2*h**3/5 - 22*h**2/5 + 76*h/5 - 16.
2*(h - 5)*(h - 4)*(h - 2)/5
Factor -15*k**2 - 10*k.
-5*k*(3*k + 2)
Factor -4*j**3/3 - 7684*j**2 - 14760964*j - 28355811844/3.
-4*(j + 1921)**3/3
Suppose 7*p**5/8 + 37*p**4/8 - 291*p**3/8 + 383*p**2/8 - 19*p/2 - 15/2 = 0. What is p?
-10, -2/7, 1, 3
Factor -8*d**3 + 406*d**2 + 102*d.
-2*d*(d - 51)*(4*d + 1)
Find i such that i**5 + 5*i**4 + i**3 - 17*i**2 - 22*i - 8 = 0.
-4, -1, 2
Factor -2*z**4 - 26*z**3/3 - 8*z**2/3.
-2*z**2*(z + 4)*(3*z + 1)/3
Determine g so that -2*g**3/11 + 16*g**2/11 + 46*g/11 - 60/11 = 0.
-3, 1, 10
Factor 4*c**2 - 180*c - 4536.
4*(c - 63)*(c + 18)
Find q such that -2*q**3/21 + 6*q**2/7 - 46*q/21 + 10/7 = 0.
1, 3, 5
Let y**5/2 - 3*y**4 - 30*y**3 - 67*y**2 - 117*y/2 - 18 = 0. Calculate y.
-3, -1, 12
Factor -q**4 + 14*q**3 - 68*q**2 + 130*q - 75.
-(q - 5)**2*(q - 3)*(q - 1)
Determine x, given that 2*x**5/5 + 48*x**4/5 + 34*x**3 + 204*x**2/5 + 16*x = 0.
-20, -2, -1, 0
Find n such that 2*n**4/11 + 104*n**3/11 + 1772*n**2/11 + 10920*n/11 + 22050/11 = 0.
-21, -5
Factor 4*b**2 - 20*b + 24.
4*(b - 3)*(b - 2)
Solve -2*c**5/7 - 18*c**4/7 + 260*c**3/7 + 1508*c**2/7 - 1518*c - 1694 = 0 for c.
-11, -1, 7
Find t, given that 2*t**3 + 34*t**2 - 490*t + 1350 = 0.
-27, 5
Factor -c**2/6 + 4*c/3 + 10/3.
-(c - 10)*(c + 2)/6
Factor -2*h**2/3 + 28*h/3.
-2*h*(h - 14)/3
Factor -4*x**2 - 664*x + 16544.
-4*(x - 22)*(x + 188)
Determine v, given that -4*v**2/7 + 44*v/7 + 48/7 = 0.
-1, 12
Solve l**3/3 + 7*l**2/3 = 0.
-7, 0
Factor -m**4/6 - 7*m**3/3 + 35*m**2/6 + 8*m.
-m*(m - 3)*(m + 1)*(m + 16)/6
Factor -o**5/6 + 2*o**4/3 - 5*o**3/6 + o**2/3.
-o**2*(o - 2)*(o - 1)**2/6
Factor -2*x**2/3 - 592*x/3 - 2336/3.
-2*(x + 4)*(x + 292)/3
Determine b so that b**3 + 103*b**2 + 302*b + 200 = 0.
-100, -2, -1
Factor -2*w**2/19 + 8324*w/19 - 8661122/19.
-2*(w - 2081)**2/19
Factor 8*d**4 - 68*d**3 - 212*d**2 - 88*d.
4*d*(d - 11)*(d + 2)*(2*d + 1)
Find z such that 5*z**5 - 120*z**4 + 105*z**3 + 230*z**2 = 0.
-1, 0, 2, 23
Solve 2*x**4 + 6*x**3 - 12*x**2 - 56*x - 48 = 0.
-2, 3
Suppose -4*i**3/7 + 4*i + 24/7 = 0. Calculate i.
-2, -1, 3
Find x, given that -14*x**5 - 1861*x**4/2 + 4839*x**3/2 - 4121*x**2/2 + 1309*x/2 - 69 = 0.
-69, 1/4, 2/7, 1
Solve 4*c**5 - 24*c**4 + 8*c**3 + 64*c**2 - 12*c - 40 = 0.
-1, 1, 2, 5
Factor -n**2/5 + 499*n/5 + 100.
-(n - 500)*(n + 1)/5
What is g in -196*g**5 + 1456*g**4 + 7348*g**3 + 3824*g**2 + 528*g = 0?
-3, -2/7, 0, 11
Factor -30*b**2 - 445*b - 770.
-5*(b + 2)*(6*b + 77)
Factor -2*j**2 - 64*j - 384.
-2*(j + 8)*(j + 24)
Factor -5*s**4 - 50*s**3 - 65*s**2 + 300*s - 180.
-5*(s - 1)**2*(s + 6)**2
Suppose 17*k**2/3 + 45*k/2 - 2/3 = 0. What is k?
-4, 1/34
Suppose 2*t**2 + 20*t - 48 = 0. Calculate t.
-12, 2
Determine u, given that -2*u**2/9 + 658*u/9 + 664/3 = 0.
-3, 332
Suppose -2*j**3 + 10*j**2 + 26*j + 14 = 0. What is j?
-1, 7
Factor -4*p**3 + 28*p**2 + 32*p.
-4*p*(p - 8)*(p + 1)
Factor -3*d**3/7 + 108*d**2/7 + 729*d/7 + 162.
-3*(d - 42)*(d + 3)**2/7
What is z in -5*z**3 + 5*z**2 + 760*z + 2100 = 0?
-10, -3, 14
Factor n**3/2 + 51*n**2 + 299*n/2 + 99.
(n + 1)*(n + 2)*(n + 99)/2
Solve -x**4/9 + 77*x**3/9 - 74*x**2/9 - 152*x/9 = 0 for x.
-1, 0, 2, 76
Solve 2*q**2/3 - 14*q + 40/3 = 0 for q.
1, 20
Fac