*x**3 + 12*x**2 + 3*x - 12 = 0. Calculate x.
-1, 1, 4
Factor -2*r**2/5 - 122*r/5 - 112.
-2*(r + 5)*(r + 56)/5
Factor q**3/4 - 3*q**2/4 + q/2.
q*(q - 2)*(q - 1)/4
Factor 10*u**4 - 75*u**3 + 15*u**2 + 155*u - 105.
5*(u - 7)*(u - 1)**2*(2*u + 3)
Find x, given that 5329*x**3 - 5183*x**2 - 145*x - 1 = 0.
-1/73, 1
Factor 2*l**2/13 - 414*l/13 + 412/13.
2*(l - 206)*(l - 1)/13
Factor 2*p**3 + 78*p**2 - 3042*p + 21970.
2*(p - 13)**2*(p + 65)
Factor -525*i**2/2 - 1059*i/2 - 9.
-3*(i + 2)*(175*i + 3)/2
Find y, given that -5*y**5 - 2260*y**4 + 2280*y**3 + 6790*y**2 - 2275*y - 4530 = 0.
-453, -1, 1, 2
Factor 3*z**4/4 + 1263*z**3/4 - 3807*z**2/4 + 3813*z/4 - 318.
3*(z - 1)**3*(z + 424)/4
Solve 6*p**5/5 + 84*p**4 + 2358*p**3/5 + 3456*p**2/5 = 0 for p.
-64, -3, 0
Determine h, given that 5*h**5/4 - 5*h**4 - 55*h**3/4 + 65*h**2/2 + 80*h + 40 = 0.
-2, -1, 4
Solve -12*i**2/17 + 86*i/17 - 74/17 = 0.
1, 37/6
Solve 2*g**3/3 - 10*g**2/3 + 4*g/3 + 16/3 = 0.
-1, 2, 4
Determine m, given that -2*m**5/5 + 22*m**4/5 - 34*m**3/5 - 22*m**2/5 + 36*m/5 = 0.
-1, 0, 1, 2, 9
Let -6*g**2 - 36*g/5 + 192/5 = 0. What is g?
-16/5, 2
Factor 3*o**3 + 48*o**2.
3*o**2*(o + 16)
Factor -5*c**4/6.
-5*c**4/6
Solve -4*k**2 - 8136*k - 4137156 = 0 for k.
-1017
Solve -4*v**5 - 44*v**4 + 52*v**3 + 44*v**2 - 48*v = 0 for v.
-12, -1, 0, 1
Factor -3*v**2 - 93*v - 174.
-3*(v + 2)*(v + 29)
Determine n, given that -4*n**2 + 64*n = 0.
0, 16
Let 5*w**4 - 60*w**3 + 235*w**2 - 360*w + 180 = 0. What is w?
1, 2, 3, 6
Factor -3*c**2 + 120*c + 123.
-3*(c - 41)*(c + 1)
Let 3*s**3 - 57*s**2 + 105*s - 51 = 0. What is s?
1, 17
Let -3*b**5/2 - 21*b**4 - 177*b**3/2 - 87*b**2 + 90*b + 108 = 0. What is b?
-6, -2, -1, 1
Suppose -c**2/2 + 67*c + 135/2 = 0. What is c?
-1, 135
Factor 2*c**3/7 - 88*c**2/7 + 54*c + 14580/7.
2*(c - 27)**2*(c + 10)/7
Factor z**4/5 + 202*z**3/5 + 10397*z**2/5 + 3880*z - 6000.
(z - 1)*(z + 3)*(z + 100)**2/5
Suppose 2*a**4/11 - 90*a**3/11 + 412*a**2/11 - 480*a/11 = 0. What is a?
0, 2, 3, 40
Factor -z**3 + 18*z**2 + 84*z - 1960.
-(z - 14)**2*(z + 10)
Find v such that -2*v**2/7 + 1110*v/7 - 316 = 0.
2, 553
Determine x, given that 2*x**2/21 - 480*x/7 + 86400/7 = 0.
360
Factor w**2 - 72*w + 140.
(w - 70)*(w - 2)
Factor -3*p**2/7 - 234*p/7 + 237/7.
-3*(p - 1)*(p + 79)/7
Let 64*d**2/7 + 1151*d/7 - 18/7 = 0. What is d?
-18, 1/64
Factor 5*n**3 - 24*n**2 - 5*n.
n*(n - 5)*(5*n + 1)
Factor -h**2/2 - 136*h - 1855/2.
-(h + 7)*(h + 265)/2
Find x, given that 2*x**4/15 - 692*x**3/15 + 19718*x**2/5 + 41064*x/5 - 60552/5 = 0.
-3, 1, 174
Determine b, given that -5*b**5 - 65*b**4 - 335*b**3 - 855*b**2 - 1080*b - 540 = 0.
-3, -2
Factor -5*f**2 + 130*f - 800.
-5*(f - 16)*(f - 10)
Determine n so that 2*n**2/11 - 86*n/11 - 8 = 0.
-1, 44
Factor -4*t**3 + 3664*t**2 + 3668*t.
-4*t*(t - 917)*(t + 1)
Determine a so that 5*a**5 - 95*a**4 + 455*a**3 - 905*a**2 + 800*a - 260 = 0.
1, 2, 13
Solve 3*i**5 + 6*i**4 - 9*i**3 = 0 for i.
-3, 0, 1
Factor 3*k**4 - 126*k**3 + 360*k**2 - 354*k + 117.
3*(k - 39)*(k - 1)**3
What is i in 2*i**2/21 - 32*i/7 + 184/21 = 0?
2, 46
Factor -2*r**2/5 - 60*r - 1168/5.
-2*(r + 4)*(r + 146)/5
Factor 2*t**2/11 + 42*t/11 - 260/11.
2*(t - 5)*(t + 26)/11
Determine y, given that -y**4 - 28*y**3 - 153*y**2 - 126*y = 0.
-21, -6, -1, 0
Factor b**3/4 + 9*b**2 - 651*b/4 + 1225/2.
(b - 7)**2*(b + 50)/4
Solve 10*k**4 - 68*k**3 + 38*k**2 + 68*k - 48 = 0 for k.
-1, 4/5, 1, 6
Solve -2*y**5/5 - 16*y**4 - 160*y**3 = 0 for y.
-20, 0
Determine f, given that 5*f**4/2 + 45*f**3 + 205*f**2/2 - 180*f - 450 = 0.
-15, -3, -2, 2
Factor 694*t**3 + 2772*t**2 + 2760*t - 16.
2*(t + 2)**2*(347*t - 2)
Factor p**4/6 - 2*p**3/3.
p**3*(p - 4)/6
Factor -2*p**2 - 11184*p - 15635232.
-2*(p + 2796)**2
Factor c**3/3 - 20*c**2/3 + 19*c/3.
c*(c - 19)*(c - 1)/3
Find x such that -3*x**4/7 + 6*x**3 = 0.
0, 14
Let 4*f**3 - 40*f**2 + 116*f - 80 = 0. Calculate f.
1, 4, 5
Factor -3*l**2 + 942*l - 7344.
-3*(l - 306)*(l - 8)
Factor -5*v**3 - 3670*v**2 + 7355*v - 3680.
-5*(v - 1)**2*(v + 736)
Find h such that -h**3/2 - 23*h**2/2 - 45*h = 0.
-18, -5, 0
Suppose 3*j**5/4 - 279*j**4/4 + 3465*j**3/4 - 11613*j**2/4 = 0. What is j?
0, 7, 79
Factor -u**4/5 + 31*u**3/5 - 159*u**2/5 + 45*u.
-u*(u - 25)*(u - 3)**2/5
Factor -q**3/3 + 110*q**2/3 + 229*q + 348.
-(q - 116)*(q + 3)**2/3
Factor 3*o**2 - 1674*o + 3336.
3*(o - 556)*(o - 2)
Factor -r**3/2 + 5*r**2/2 + 24*r - 126.
-(r - 6)**2*(r + 7)/2
Suppose 4*p**2 + 128*p + 124 = 0. What is p?
-31, -1
Solve 5*g**5 + 175*g**4 + 855*g**3 - 535*g**2 - 2960*g - 1740 = 0.
-29, -6, -1, 2
Factor 10*u**3/3 + 72*u**2 + 374*u - 484/3.
2*(u + 11)**2*(5*u - 2)/3
Factor -3*o**2/2 + 81*o + 165/2.
-3*(o - 55)*(o + 1)/2
Solve 7*p**4/3 + 10*p**3 - 41*p**2/3 - 28*p - 20/3 = 0 for p.
-5, -1, -2/7, 2
Factor -2*l**3/5 + 6*l**2/5 + 8*l/5 - 24/5.
-2*(l - 3)*(l - 2)*(l + 2)/5
Solve k**3 - 87*k**2 + 1935*k - 1849 = 0 for k.
1, 43
Factor 9*t**5 - 42*t**4 + 66*t**3 - 36*t**2 - 3*t + 6.
3*(t - 2)*(t - 1)**3*(3*t + 1)
Factor -3*j**3 - 1689*j**2.
-3*j**2*(j + 563)
Factor 4*t**2 - 528*t - 3312.
4*(t - 138)*(t + 6)
Factor 6*w**2/5 + 102*w - 540.
6*(w - 5)*(w + 90)/5
Find p, given that 3*p**3 + 21*p**2 + 6*p - 120 = 0.
-5, -4, 2
Factor p**3/2 + 393*p**2/2 - 792*p + 794.
(p - 2)**2*(p + 397)/2
What is z in 2*z**4 - 7100*z**3 + 21288*z**2 - 21284*z + 7094 = 0?
1, 3547
Suppose 4*q**2 - 44296*q + 122633476 = 0. Calculate q.
5537
Factor -a**4 - 18*a**3 - 59*a**2 + 78*a.
-a*(a - 1)*(a + 6)*(a + 13)
Factor -3*u**3 + 30*u**2 + 3*u - 30.
-3*(u - 10)*(u - 1)*(u + 1)
Let -3*f**5 - 117*f**4 - 1068*f**3 + 1668*f**2 + 4320*f - 4800 = 0. What is f?
-20, -2, 1, 2
Factor -4*z**3/3 + 5644*z**2 - 7963684*z + 11236758124/3.
-4*(z - 1411)**3/3
Factor -9*m**2/2 + 29*m/2 - 3.
-(m - 3)*(9*m - 2)/2
Factor -4*x**3 + 20*x**2/3 + 44*x/3 + 4.
-4*(x - 3)*(x + 1)*(3*x + 1)/3
Solve r**5/2 - r**4 - r**3/2 + r**2 = 0 for r.
-1, 0, 1, 2
Find x, given that -5*x**2 + 2000*x - 200000 = 0.
200
Factor 2*x**4 + 10*x**3 + 4*x**2 - 16*x.
2*x*(x - 1)*(x + 2)*(x + 4)
Determine h so that -3*h**5/4 + 9*h**4/4 - 3*h**3/4 - 9*h**2/4 + 3*h/2 = 0.
-1, 0, 1, 2
Let -u**4/7 - 625*u**3/7 - 96714*u**2/7 + 42076*u - 197192/7 = 0. What is u?
-314, 1, 2
Find m such that 147*m**5 - 50043*m**4 + 120720*m**3 - 18120*m**2 - 44592*m - 8112 = 0.
-2/7, 1, 2, 338
Solve j**2/3 - 4*j - 13/3 = 0.
-1, 13
Factor -s**2/7 + 67*s/7 - 310/7.
-(s - 62)*(s - 5)/7
Factor 2*t**3 + 10114*t**2 + 12791680*t + 12781568.
2*(t + 1)*(t + 2528)**2
Suppose t**3 + 779*t**2 + 152099*t + 151321 = 0. Calculate t.
-389, -1
Solve 5*f**4 - 1405*f**2 + 8100*f + 9500 = 0.
-19, -1, 10
Factor -5*h**2 + 975*h + 3980.
-5*(h - 199)*(h + 4)
Factor 4*r**4 + 728*r**3 + 27636*r**2 - 499408*r + 1882384.
4*(r - 7)**2*(r + 98)**2
Factor 2*a**2/3 - 52*a/3 + 112.
2*(a - 14)*(a - 12)/3
Factor -8*s**3 - 7*s**2 + 15*s.
-s*(s - 1)*(8*s + 15)
Find q, given that 5*q**5 + 625*q**4 - 15*q**3 - 1865*q**2 + 1250*q = 0.
-125, -2, 0, 1
Factor 3*a**2 - 186*a - 2664.
3*(a - 74)*(a + 12)
What is i in 5*i**4/2 - 65*i**2/2 - 30*i = 0?
-3, -1, 0, 4
Factor -2*p**4 - 424*p**3 - 7200*p**2 - 42336*p - 83808.
-2*(p + 6)**3*(p + 194)
Let -m**4/5 + 144*m**3/5 + 292*m**2/5 = 0. Calculate m.
-2, 0, 146
Factor 3*u**3/4 + 21*u**2/4 + 3*u - 9.
3*(u - 1)*(u + 2)*(u + 6)/4
Suppose n**4/9 + 13*n**3/3 - 127*n**2/9 - 13*n/3 + 14 = 0. What is n?
-42, -1, 1, 3
Factor 4*j**4 - 168*j**3 + 2160*j**2 - 8800*j.
4*j*(j - 22)*(j - 10)**2
Suppose -5*d**3 - 1190*d**2 + 2400*d = 0. Calculate d.
-240, 0, 2
Factor 3*m**3/4 - 51*m**2/2 + 195*m/4 - 24.
3*(m - 32)*(m - 1)**2/4
Factor -3*x**2 - 3408*x - 967872.
-3*(x + 568)**2
Find b such that 3*b**3/4 - 21*b**2/4 - 21*b/2 + 36 = 0.
-3, 2, 8
Factor q**4/7 + 30*q**3/7 - 207*q**2/7 + 324*q/7.
q*(q - 3)**2*(q + 36)/7
Factor -3*a**2/7 + 6642*a/7 - 3676347/7.
-3*(a - 1107)**2/7
Solve 4*b**3/7 + 184*b**2/7 + 156*b/7 - 1080/7 = 0 for b.
-45, -3, 2
Determine a, given that -a**4/4 + 196*a**3 - 783*a**2/4 = 0.
0, 1, 783
Solve 2*q**3 + 36*q**2 + 30*q - 68 = 0 for q.
-17, -2, 1
Factor -2*r**2/3 + 17582*r/3 - 5860.
-2*(r - 8790)*(r - 1)/3
Determine k, given that -5*k**3 + 35*k**2 + 90*k = 0.
-2, 0, 9
Suppose 18*v**5 - 86*v**4 + 124*v**3 - 40*v**2 - 16*v = 0. Calculate v.
-2/9, 0, 1, 2
Factor -4*d**3/5 - 76*d**2/5 - 392*d/5 - 64.
-4*(d + 1)*(d + 8)*(d + 10)/5
Determine s so t