9 = 0.
-27, 1
Factor a**2/10 - 36*a - 2569/10.
(a - 367)*(a + 7)/10
Factor -b**2/2 - 193*b/2 + 97.
-(b - 1)*(b + 194)/2
Let -3*z**2 + 51*z - 210 = 0. What is z?
7, 10
Let k**4/7 - 17*k**3/7 - 22*k**2/7 + 68*k/7 + 72/7 = 0. What is k?
-2, -1, 2, 18
Factor 2*a**2/3 - 28*a/3 + 30.
2*(a - 9)*(a - 5)/3
Determine f so that -4*f**5 + 36*f**4 + 808*f**3 - 7296*f**2 - 8064*f = 0.
-14, -1, 0, 12
Factor 4*p**4 + 112*p**3 - 236*p**2 + 120*p.
4*p*(p - 1)**2*(p + 30)
Factor -3*b**2 + 13158*b - 14427747.
-3*(b - 2193)**2
Determine c so that 5*c**4 - 380*c**3 + 7220*c**2 = 0.
0, 38
Let 12*o**5 + 76*o**4 + 108*o**3 - 44*o**2 - 120*o - 32 = 0. What is o?
-4, -2, -1, -1/3, 1
Let 5*o**4 + 15*o**3 - 75*o**2 - 95*o + 150 = 0. What is o?
-5, -2, 1, 3
Factor -3*g**5/7 - 6*g**4/7 + 33*g**3/7 + 36*g**2/7 - 108*g/7.
-3*g*(g - 2)**2*(g + 3)**2/7
What is p in 5*p**4 - 80*p**3 + 395*p**2 - 420*p - 900 = 0?
-1, 5, 6
Factor 5*d**4/2 - 10*d**3 + 25*d**2/2 - 5*d.
5*d*(d - 2)*(d - 1)**2/2
What is v in -2*v**4/13 + 136*v**3/13 - 40*v**2 + 512*v/13 = 0?
0, 2, 64
Find s, given that 26*s**2/11 - 84*s/11 + 18/11 = 0.
3/13, 3
Factor 2*m**2 + 64*m - 456.
2*(m - 6)*(m + 38)
Factor -64*g**5 - 544*g**4 - 1732*g**3 - 2572*g**2 - 1804*g - 484.
-4*(g + 1)**3*(4*g + 11)**2
Determine t so that -4*t**3 + 48*t**2 - 144*t + 128 = 0.
2, 8
Suppose 2*k**3 - 76*k**2/5 + 38*k/5 + 28/5 = 0. What is k?
-2/5, 1, 7
Solve 5*f**2 - 35*f + 30 = 0.
1, 6
Suppose 2*g**2 + 222*g + 436 = 0. Calculate g.
-109, -2
Factor -o**5 + 5*o**4 - 2*o**3 - 20*o**2 + 24*o.
-o*(o - 3)*(o - 2)**2*(o + 2)
Suppose -4*p**2 - 100*p - 336 = 0. What is p?
-21, -4
Solve 15*q**3 - 2124*q**2 + 1263*q + 846 = 0.
-2/5, 1, 141
Factor 4*u**2/7 - 260*u.
4*u*(u - 455)/7
Factor 4*f**2 - 2840*f + 504100.
4*(f - 355)**2
Factor -4*k**2/7 - 1244*k - 677047.
-(2*k + 2177)**2/7
Find x, given that x**4/8 + 85*x**3 + 76953*x**2/4 + 1442812*x - 11697083/8 = 0.
-227, 1
Factor 69*g**2/7 + 54*g/7 - 15/7.
3*(g + 1)*(23*g - 5)/7
What is m in 2*m**5/9 + 8*m**4/3 + 34*m**3/9 - 20*m**2/3 = 0?
-10, -3, 0, 1
Suppose -36*a**5 + 444*a**4 - 1480*a**3 + 2000*a**2 - 1184*a + 256 = 0. Calculate a.
2/3, 1, 2, 8
Determine f, given that 3*f**3 - 255*f**2 + 1212*f - 960 = 0.
1, 4, 80
What is j in j**4 - 4*j**3 - 20*j**2 + 48*j = 0?
-4, 0, 2, 6
Factor -r**4/3 + 14*r**3/3 - 68*r**2/3 + 130*r/3 - 25.
-(r - 5)**2*(r - 3)*(r - 1)/3
Determine m, given that -3*m**5/2 + 11*m**4 - 20*m**3 + 13*m**2 - 5*m/2 = 0.
0, 1/3, 1, 5
Factor 2*n**5 - 7*n**4 + 2*n**3 + 3*n**2.
n**2*(n - 3)*(n - 1)*(2*n + 1)
Solve 3*s**4 - 48*s**3 + 180*s**2 + 192*s - 768 = 0.
-2, 2, 8
Find j such that 2*j**4 - 34*j**3 + 110*j**2 - 78*j = 0.
0, 1, 3, 13
What is l in l**3/3 + 11*l**2 + 212*l/3 - 320 = 0?
-20, -16, 3
Solve -10*o**4/7 + 414*o**3/7 + 316*o**2/7 - 2712*o/7 + 144 = 0 for o.
-3, 2/5, 2, 42
Solve 3*m**3 - 21*m**2 + 21*m + 45 = 0 for m.
-1, 3, 5
Factor 3*n**4 + 18*n**3 - 24*n**2 - 18*n + 21.
3*(n - 1)**2*(n + 1)*(n + 7)
Solve -3*n**4 + 2298*n**3 + 9225*n**2 + 11544*n + 4620 = 0 for n.
-2, -1, 770
Suppose 45*h**3/4 - 8925*h**2/4 + 2960*h - 985 = 0. Calculate h.
2/3, 197
Let -5*y**4 + 19*y**3/5 + 56*y**2/5 + 12*y/5 = 0. What is y?
-1, -6/25, 0, 2
Determine g, given that g**3 - 6*g**2 - 72*g = 0.
-6, 0, 12
Factor 3*q**3 - 18*q**2 - 3*q + 90.
3*(q - 5)*(q - 3)*(q + 2)
Solve -3*z**4/2 + 24*z**3 + 1443*z**2 - 12312*z - 789507/2 = 0.
-19, 27
Factor 2*j**2/3 + 368*j - 2216/3.
2*(j - 2)*(j + 554)/3
Determine k, given that 2*k**4/13 + 14*k**3/13 - 16*k**2/13 = 0.
-8, 0, 1
Factor -2*w**3/7 - 18*w**2/7 - 46*w/7 - 30/7.
-2*(w + 1)*(w + 3)*(w + 5)/7
Find x such that -10*x**5/7 + 62*x**4/7 + 398*x**3/7 - 142*x**2/7 - 388*x/7 + 80/7 = 0.
-4, -1, 1/5, 1, 10
Suppose 4*i**2/7 + 18488*i/7 + 21362884/7 = 0. Calculate i.
-2311
Find s such that -s**3 - 2430*s**2 + 4863*s - 2432 = 0.
-2432, 1
Factor -f**2/2 + 25*f/2 + 75.
-(f - 30)*(f + 5)/2
Factor -2*c**2/9 + 58*c/9.
-2*c*(c - 29)/9
Determine f, given that -f**5/7 - 11*f**4/7 + 103*f**3/7 + 11*f**2/7 - 102*f/7 = 0.
-17, -1, 0, 1, 6
Let 12*f**5 + 9*f**4 - 27*f**3 + 6*f**2 = 0. Calculate f.
-2, 0, 1/4, 1
Solve x**4 + 338*x**3/5 - 481*x**2/5 + 138*x/5 = 0.
-69, 0, 2/5, 1
Suppose 2*r**2 - 138*r - 584 = 0. Calculate r.
-4, 73
Find x such that -6*x**2 + 79*x - 13 = 0.
1/6, 13
Factor -21*r**2 + 15*r + 6.
-3*(r - 1)*(7*r + 2)
Suppose -2*n**2 + 3094*n = 0. Calculate n.
0, 1547
Find g, given that 10*g**4/3 + 5*g**3/3 - 55*g**2 - 80*g/3 + 80/3 = 0.
-4, -1, 1/2, 4
Find z, given that -2*z**4/11 + 40*z**3/11 - 72*z**2/11 = 0.
0, 2, 18
Suppose -4*h**5/7 + 108*h**4/7 - 204*h**3/7 + 100*h**2/7 = 0. What is h?
0, 1, 25
Find s, given that -4*s**2 - 4888*s - 4884 = 0.
-1221, -1
Factor 3*v**4 + 1098*v**3 + 101559*v**2 + 199836*v + 99372.
3*(v + 1)**2*(v + 182)**2
Factor 4*o**3/7 + 12*o**2/7 - 24*o/7 - 32/7.
4*(o - 2)*(o + 1)*(o + 4)/7
Let -70*r**2/9 - 164*r/9 - 16/3 = 0. Calculate r.
-2, -12/35
Factor -2*x**2/7 + 24*x/7 - 22/7.
-2*(x - 11)*(x - 1)/7
Factor 2*g**3/3 - 16*g**2/3 + 40*g/3 - 32/3.
2*(g - 4)*(g - 2)**2/3
Determine a, given that -a**4/5 + 11*a**2/5 + 18*a/5 + 8/5 = 0.
-2, -1, 4
What is f in -2*f**2 - 96*f = 0?
-48, 0
Let -8*y**5 - 20*y**4 - 8*y**3 + 16*y**2 + 16*y + 4 = 0. What is y?
-1, -1/2, 1
Suppose -5*f**2/3 - 305*f/3 = 0. What is f?
-61, 0
Find a such that -180*a**5 + 195*a**4 - 20*a**3 - 20*a**2 = 0.
-1/4, 0, 2/3
Factor s**3/5 - s**2/5 - 6*s/5.
s*(s - 3)*(s + 2)/5
Factor -145*i**2/11 - 872*i/11 - 12/11.
-(i + 6)*(145*i + 2)/11
Determine s so that 15*s**4 + 280*s**3 + 1425*s**2 + 1820*s + 660 = 0.
-11, -6, -1, -2/3
Let 2*o**4 + 86*o**3 - 6*o**2 - 262*o - 172 = 0. What is o?
-43, -1, 2
Let -2*j**3/11 - 588*j**2/11 - 42624*j/11 + 87616/11 = 0. Calculate j.
-148, 2
What is x in 2*x**5 - 8*x**4 + 28*x**2 - 34*x + 12 = 0?
-2, 1, 3
Find u, given that 3*u**4 + 270*u**3 + 6327*u**2 + 10824*u - 17424 = 0.
-44, -3, 1
Let 4*r**3/5 + 4*r**2/5 - 8*r + 32/5 = 0. Calculate r.
-4, 1, 2
Factor 3*a**5 + 3*a**4 - 18*a**3 - 12*a**2 + 24*a.
3*a*(a - 2)*(a - 1)*(a + 2)**2
Factor -96*m**2 - 189*m + 6.
-3*(m + 2)*(32*m - 1)
Factor p**2 - 708*p + 125316.
(p - 354)**2
Factor 4*h**3 - 124*h**2 - 16*h + 496.
4*(h - 31)*(h - 2)*(h + 2)
Solve 2*j**4/11 + 16*j**3/11 - 62*j**2/11 + 4*j = 0 for j.
-11, 0, 1, 2
Solve -5*x**3/2 - 55*x**2/2 + 295*x + 680 = 0 for x.
-17, -2, 8
What is d in 2*d**3/9 - 10*d**2/9 + 8*d/9 = 0?
0, 1, 4
Factor 30*x**3 + 65*x**2 - 230*x - 40.
5*(x - 2)*(x + 4)*(6*x + 1)
Determine j so that 2*j**5/9 + 16*j**4/3 - 8*j**3/9 - 64*j**2/3 = 0.
-24, -2, 0, 2
Factor 2*p**4 + 20*p**3 + 72*p**2 + 112*p + 64.
2*(p + 2)**3*(p + 4)
Factor 28*v**3 + 636*v**2 + 432*v - 176.
4*(v + 1)*(v + 22)*(7*v - 2)
Solve -b**2/6 - 77*b/3 - 51/2 = 0.
-153, -1
Find g, given that 18*g**5 + 168*g**4 - 142*g**3 - 212*g**2 + 88*g + 80 = 0.
-10, -2/3, 1
Suppose -p**4/6 - 7*p**3/6 - p**2 = 0. What is p?
-6, -1, 0
Find k, given that -3*k**3/5 - 51*k**2/5 - 57*k - 105 = 0.
-7, -5
Factor -5*h**4 + 90*h**3 + 420*h**2 + 440*h.
-5*h*(h - 22)*(h + 2)**2
Factor -35*s**2 + 31020*s - 8860.
-5*(s - 886)*(7*s - 2)
Factor b**2/3 + 16*b/3 + 16.
(b + 4)*(b + 12)/3
Find k, given that -k**3/6 + 7*k/6 - 1 = 0.
-3, 1, 2
Factor 2*g**3 + 86*g**2 + 158*g - 246.
2*(g - 1)*(g + 3)*(g + 41)
Solve 5*v**4/2 - 85*v**3/2 + 275*v**2/2 - 195*v/2 = 0.
0, 1, 3, 13
Factor -5*c**2 - 15270*c - 11658645.
-5*(c + 1527)**2
Factor -4*w**5/3 + 72*w**4 - 212*w**3/3.
-4*w**3*(w - 53)*(w - 1)/3
Determine k, given that k**3/3 - 2*k**2/3 = 0.
0, 2
Factor -g**5/5 + 9*g**4/5 + 46*g**3/5 + 74*g**2/5 + 51*g/5 + 13/5.
-(g - 13)*(g + 1)**4/5
What is r in r**2 + 19*r + 34 = 0?
-17, -2
Factor -216*f**3 + 186*f**2 - 5*f - 7.
-(4*f - 1)*(6*f + 1)*(9*f - 7)
Solve 2*x**5 + 2*x**4 - 24*x**3 - 56*x**2 - 32*x = 0.
-2, -1, 0, 4
Factor 2*b**3/7 + 24*b**2/7 + 6*b + 20/7.
2*(b + 1)**2*(b + 10)/7
Factor -2*u**2 - 1606*u/3 + 536/3.
-2*(u + 268)*(3*u - 1)/3
Factor -f**5 - 63*f**4 + 6*f**3 + 386*f**2 + 507*f + 189.
-(f - 3)*(f + 1)**3*(f + 63)
Factor n**3 + 19*n**2 + 115*n + 225.
(n + 5)**2*(n + 9)
Suppose 2*f**5 + 40*f**4 - 136*f**3 + 52*f**2 + 134*f - 92 = 0. Calculate f.
-23, -1, 1, 2
What is c in -3*c**4/5 + 58*c**3/5 - 67*c**2/5 - 92*c/5 + 36/5 = 0?
-1, 1/3, 2, 18
Solve -2*j**4/17 - 98*j**3/17 - 414*j**2/17 + 1130*j/17 - 616/17 = 0.
-44, -7, 1
What is c in c**2/3 + 5*c/3 - 104/3 =