0*k**2/3 - 2*k = 0. Calculate k.
0, 1, 3
Factor -5*o**3/4 - 2109*o**2/4 + 2331*o/2 - 212.
-(o - 2)*(o + 424)*(5*o - 1)/4
Solve -4*p**5/7 - 38*p**4/7 + 10*p**3 + 44*p**2/7 = 0 for p.
-11, -1/2, 0, 2
Let f**2/2 - 41*f - 83/2 = 0. What is f?
-1, 83
Factor -3*x**5/4 + 1917*x**4/4 + 3843*x**3/4 + 1923*x**2/4.
-3*x**2*(x - 641)*(x + 1)**2/4
Factor -2*h**4 - 2*h**3 + 4*h**2.
-2*h**2*(h - 1)*(h + 2)
Factor -3*l**3 - 1215*l**2 - 164025*l - 7381125.
-3*(l + 135)**3
Determine q so that -2*q**4/11 + 918*q**3/11 + 2766*q**2/11 + 2770*q/11 + 84 = 0.
-1, 462
Suppose -4*i**3/7 + 13*i**2/7 - 11*i/7 + 2/7 = 0. Calculate i.
1/4, 1, 2
Factor 2*r**2 + 24*r + 70.
2*(r + 5)*(r + 7)
Determine m so that m**3/3 + m**2/3 - m/3 - 1/3 = 0.
-1, 1
Solve -5*c**3/2 + 13*c**2 + 41*c/2 - 31 = 0.
-2, 1, 31/5
Determine r so that 2*r**4 + 218*r**3 + 3492*r**2 + 20088*r + 39312 = 0.
-91, -6
Factor y**4/8 - 25*y**3/8 - 14*y**2 - 29*y/2.
y*(y - 29)*(y + 2)**2/8
Factor w**2/4 - 15*w/4 + 11.
(w - 11)*(w - 4)/4
Suppose 3*m**3 + 3*m**2 - 63*m - 135 = 0. Calculate m.
-3, 5
Determine f, given that -f**2/7 - 10*f + 219/7 = 0.
-73, 3
Let 4*u**4 + 82*u**3 + 246*u**2 - 1872*u + 864 = 0. Calculate u.
-12, 1/2, 3
Factor -5*v**3 + 10*v**2 + 15*v.
-5*v*(v - 3)*(v + 1)
Factor 2*n**3/3 + 70*n**2/3 - 2*n/3 - 70/3.
2*(n - 1)*(n + 1)*(n + 35)/3
Factor z**5/4 - 47*z**4/2 + 586*z**3 + 2808*z**2 - 194400*z + 373248.
(z - 36)**3*(z - 2)*(z + 16)/4
Find g, given that -2*g**2/9 - 280*g/9 + 94/3 = 0.
-141, 1
Factor 4*u**4 - 20*u**3 - 88*u**2 - 64*u.
4*u*(u - 8)*(u + 1)*(u + 2)
Factor t**4 + 156*t**3 + 5926*t**2 - 12324*t + 6241.
(t - 1)**2*(t + 79)**2
Factor -5*g**3 + 215*g**2 + 450*g.
-5*g*(g - 45)*(g + 2)
Factor n**3 - 68*n**2 - 69*n.
n*(n - 69)*(n + 1)
Factor -z**4/2 + 16*z**3 - 143*z**2 + 240*z - 225/2.
-(z - 15)**2*(z - 1)**2/2
What is i in 63*i**5 + 821*i**4 + 2042*i**3 + 1324*i**2 + 40*i = 0?
-10, -2, -1, -2/63, 0
Solve 16*s**3 - 1508*s**2 + 35720*s - 8836 = 0.
1/4, 47
Factor u**2/2 - 377*u - 756.
(u - 756)*(u + 2)/2
What is g in -g**4/7 - g**3 + 9*g**2/7 + g - 8/7 = 0?
-8, -1, 1
Factor -2*i**2/9 + 160*i - 28800.
-2*(i - 360)**2/9
Determine s so that -5*s**2 - 485*s = 0.
-97, 0
Solve -3*d**3/5 - 402*d**2/5 + 1227*d/5 - 822/5 = 0.
-137, 1, 2
Factor -210*s**2/13 + 106*s/13 + 12/13.
-2*(5*s - 3)*(21*s + 2)/13
Find m, given that 4*m**3 - 60*m**2 + 72*m + 416 = 0.
-2, 4, 13
Factor -4*a**3 - 24*a**2 + 64*a + 384.
-4*(a - 4)*(a + 4)*(a + 6)
Find t, given that -5*t**2 - 4520*t - 1021520 = 0.
-452
Factor m**2 + 47*m + 46.
(m + 1)*(m + 46)
What is z in -18*z**4 - 8*z**3 + 18*z**2 + 8*z = 0?
-1, -4/9, 0, 1
Factor 4*u**2/5 - 208*u/5 - 212/5.
4*(u - 53)*(u + 1)/5
Factor 2*a**4/5 + 342*a**3 - 6872*a**2/5.
2*a**2*(a - 4)*(a + 859)/5
Determine v so that -5*v**3 + v**2/4 + v/4 = 0.
-1/5, 0, 1/4
Solve -5*x**5 + 35*x**4 + 125*x**3 - 335*x**2 + 180*x = 0.
-4, 0, 1, 9
Determine j, given that 4*j**2 - 48*j = 0.
0, 12
Let -105*s**4/2 + s**3 = 0. What is s?
0, 2/105
Factor -j**3/3 + 526*j**2/3 - 69169*j/3.
-j*(j - 263)**2/3
Solve 3*d**3 - 36*d**2 - 585*d - 1650 = 0 for d.
-5, 22
Suppose 34*q**4/7 - 284*q**3/7 + 38*q**2 + 416*q/7 - 24 = 0. Calculate q.
-1, 6/17, 2, 7
Suppose -3*m**2 - 753*m - 750 = 0. What is m?
-250, -1
Suppose -128*n**5 - 160*n**4 + 606*n**3 - 226*n**2 - 86*n - 6 = 0. What is n?
-3, -1/8, 1
Find b such that -b**4/8 - 25*b**3 - 593*b**2/8 - 197*b/4 = 0.
-197, -2, -1, 0
Factor -3*j**5/2 + 66*j**4 - 255*j**3/2 + 63*j**2.
-3*j**2*(j - 42)*(j - 1)**2/2
Let 2*q**2 + 186*q = 0. What is q?
-93, 0
What is n in -14*n**3/25 - 218*n**2/25 - 624*n/25 - 288/25 = 0?
-12, -3, -4/7
Find i, given that 9*i**2 + 108*i - 160 = 0.
-40/3, 4/3
Factor 5*u**2 + 1540*u + 118580.
5*(u + 154)**2
Factor -2*g**2/11 - 2*g/11.
-2*g*(g + 1)/11
Let 2*c**2 + 20772*c + 53934498 = 0. Calculate c.
-5193
Find o such that -5*o**3 + 770*o**2 - 1520*o = 0.
0, 2, 152
Solve a**5/3 - 44*a**4 - 1682*a**3/3 - 2188*a**2 - 8615*a/3 - 1200 = 0.
-5, -1, 144
Determine t so that -t**2/5 - 12*t - 180 = 0.
-30
Solve 4*h**5 + 16*h**4 - 8*h**3 - 48*h**2 + 36*h = 0.
-3, 0, 1
Solve -a**3 + 12*a - 16 = 0.
-4, 2
Factor 5*q**4 - 10*q**3 - 20*q**2 + 10*q + 15.
5*(q - 3)*(q - 1)*(q + 1)**2
Solve 4*g**2 - 1268*g + 3768 = 0 for g.
3, 314
What is c in -40*c**4 - 36*c**3 + 412*c**2 + 168*c = 0?
-7/2, -2/5, 0, 3
Let 2*w**4/3 + 52*w**3/3 + 94*w**2 - 728*w/3 + 392/3 = 0. What is w?
-14, 1
Find i, given that i**4/2 + 19*i**3 - 347*i**2/2 + 474*i - 414 = 0.
-46, 2, 3
Let 108*b**4 + 13611*b**3 + 13872*b**2 - 381*b - 750 = 0. What is b?
-125, -1, -1/4, 2/9
Factor -2*v**2/3 + 2*v/3 + 368.
-2*(v - 24)*(v + 23)/3
Solve v**3 + 3*v**2 - v - 3 = 0 for v.
-3, -1, 1
Find f such that 36*f**3/11 - 1730*f**2/11 + 20832*f/11 - 1152/11 = 0.
1/18, 24
Factor -12*q**3 - 16*q**2.
-4*q**2*(3*q + 4)
Factor 8*r**2/5 - 154*r/5 + 36.
2*(r - 18)*(4*r - 5)/5
Factor -2*h**3/11 - 2*h**2/11 + 24*h/11.
-2*h*(h - 3)*(h + 4)/11
Factor 20*y**3 + 2756*y**2 + 94668*y - 19044.
4*(y + 69)**2*(5*y - 1)
Factor -3*w**4 - 27*w**3 + 114*w**2 + 864*w - 1920.
-3*(w - 5)*(w - 2)*(w + 8)**2
Determine k, given that 9*k**4 + 84*k**3 - 162*k**2 + 36*k + 33 = 0.
-11, -1/3, 1
Factor 4*a**5/7 + 20*a**4/7 + 16*a**3/7 - 64*a**2/7 - 128*a/7 - 64/7.
4*(a - 2)*(a + 1)*(a + 2)**3/7
Factor 2*i**3/7 + 54*i**2/7 + 390*i/7 + 338/7.
2*(i + 1)*(i + 13)**2/7
Solve b**5 + 7*b**4 + 18*b**3 + 20*b**2 + 8*b = 0 for b.
-2, -1, 0
Find g such that -3*g**2/4 + 483*g/2 - 77763/4 = 0.
161
Factor -2*t**2/11 - 84*t/11 - 82/11.
-2*(t + 1)*(t + 41)/11
Factor -d**2 + 181*d.
-d*(d - 181)
Determine s, given that -4*s**3 + 44*s**2 + 48*s = 0.
-1, 0, 12
Let -65*y**2 + 124*y - 32 = 0. Calculate y.
4/13, 8/5
Factor -2*o**2/13 - 48*o/13 - 256/13.
-2*(o + 8)*(o + 16)/13
Find j such that 4*j**5 - 3280*j**4 - 13168*j**3 - 13184*j**2 = 0.
-2, 0, 824
Factor 2*w**3/9 - 344*w**2/3.
2*w**2*(w - 516)/9
Solve 5*x**5 + 51*x**4 + 170*x**3 + 192*x**2 + 32*x = 0.
-4, -2, -1/5, 0
Factor -l**3/4 + 87*l**2 + 351*l/4 - 349/2.
-(l - 349)*(l - 1)*(l + 2)/4
Factor -4*o**3 - 654*o**2 + 2346*o + 1336.
-2*(o - 4)*(o + 167)*(2*o + 1)
Factor -2*f**3 + 36*f**2 - 94*f - 660.
-2*(f - 11)*(f - 10)*(f + 3)
Suppose d**3 - 340*d**2 + 668*d + 2704 = 0. What is d?
-2, 4, 338
Let -35*o**5/4 - 2075*o**4/4 - 655*o**3 - 145*o**2 = 0. What is o?
-58, -1, -2/7, 0
Factor n**3/2 - 13*n**2/2 - 9*n/2 + 405/2.
(n - 9)**2*(n + 5)/2
Determine z, given that -3*z**4/4 - 9*z**3 - 111*z**2/4 - 63*z/2 - 12 = 0.
-8, -2, -1
Suppose b**2/5 + 366*b = 0. Calculate b.
-1830, 0
Factor 2*x**2/11 - 10*x/11 - 12/11.
2*(x - 6)*(x + 1)/11
Determine v so that 14*v**5/9 + 4*v**4/9 - 14*v**3/9 - 4*v**2/9 = 0.
-1, -2/7, 0, 1
Let -3*x**5/7 + 36*x**4/7 - 18*x**3 + 60*x**2/7 + 225*x/7 = 0. Calculate x.
-1, 0, 3, 5
Suppose -y**3/6 - 193*y**2/2 - 37249*y/2 - 7189057/6 = 0. Calculate y.
-193
Solve -m**2/6 - 625*m/3 - 390625/6 = 0 for m.
-625
Solve -2*p**3/7 - 274*p**2/7 - 1070*p/7 - 114 = 0.
-133, -3, -1
Factor -x**2/4 - 35*x/4 + 39.
-(x - 4)*(x + 39)/4
Solve 5*p**2/4 - 13825*p/2 - 27655/4 = 0 for p.
-1, 5531
Suppose -d**3/8 - 63*d**2/8 + 65*d/4 = 0. Calculate d.
-65, 0, 2
Suppose -b**5/8 + 9*b**4/8 - 27*b**3/8 + 27*b**2/8 = 0. Calculate b.
0, 3
Factor 2*b**3/9 + 28*b**2/9.
2*b**2*(b + 14)/9
Determine j so that j**3 - 9*j**2/2 - 9*j + 81/2 = 0.
-3, 3, 9/2
Factor -3*f**4/7 - 60*f**3 - 20106*f**2/7 - 54060*f - 2435403/7.
-3*(f + 17)**2*(f + 53)**2/7
Suppose l**2/3 + 23*l/3 + 22/3 = 0. Calculate l.
-22, -1
Factor -4*b**4 - 4*b**3 + 28*b**2 + 52*b + 24.
-4*(b - 3)*(b + 1)**2*(b + 2)
Determine f so that 3*f**3 + 42*f**2 - 60*f - 1800 = 0.
-10, 6
Solve 20*d**5 - 176*d**4 + 164*d**3 + 760*d**2 - 976*d - 224 = 0 for d.
-2, -1/5, 2, 7
Factor 4*z**3 + 248*z**2 - 252*z.
4*z*(z - 1)*(z + 63)
Let q**3 + 45*q**2 + 432*q - 1728 = 0. Calculate q.
-24, 3
Suppose -3*f**3 + 1521*f**2 + 3051*f + 1527 = 0. What is f?
-1, 509
Suppose 3*l**5 - 16*l**4 - 357*l**3 - 1094*l**2 - 1116*l - 360 = 0. Calculate l.
-6, -2, -1, -2/3, 15
Solve -18*l**5/5 + 894*l**4/5 - 448*l**3 - 816*l**2/5 + 2976*l/5 + 1504/5 = 0 for l.
-2/3, 2, 47
Solve h**3/2 + 7*h**2 + 12*h = 0.
-12, -2, 0
Solve -4*w**4/17 - 30*w**3/17 + 16*w**2/17 = 0.
-8, 0, 1/2
Factor -5*z**5 - 5*z**4 + 10*z**3 + 10*z**2 - 5*z - 5.
-5*(z - 1)**2*(z + 1)**3
Find b, given that -2*b**2/9 - 40*b/9 + 1600/9 = 0.
-40