237*k**2 + 43188*k - 133956 = 0. What is k?
-183, 6
Factor -2*c**3/5 - 1496*c**2/5 - 1494*c/5.
-2*c*(c + 1)*(c + 747)/5
Factor d**3/3 - 4*d**2/3 + 5*d/3 - 2/3.
(d - 2)*(d - 1)**2/3
Factor u**2/4 - 25*u/4 + 6.
(u - 24)*(u - 1)/4
Factor -16*o**2 - 596*o.
-4*o*(4*o + 149)
Find n, given that -n**2 - 16*n - 64 = 0.
-8
Factor -4*f**4/7 - 464*f**3/7 - 13912*f**2/7 - 26448*f/7 - 12996/7.
-4*(f + 1)**2*(f + 57)**2/7
Factor -p**2 - 242*p - 14641.
-(p + 121)**2
Suppose 315*d**3 - 390*d**2 + 155*d - 20 = 0. What is d?
1/3, 4/7
Factor -4*r**5/9 - 20*r**4/9 - 28*r**3/9 - 4*r**2/3.
-4*r**2*(r + 1)**2*(r + 3)/9
Determine g so that -9*g**4/7 + 759*g**3/7 - 228*g**2/7 - 2004*g/7 - 144 = 0.
-1, -2/3, 2, 84
Solve -6*f**5 - 86*f**4 + 274*f**3/3 + 1498*f**2/3 + 448*f + 120 = 0.
-15, -1, -2/3, 3
Factor 4*n**3/3 - 76*n**2/3 - 164*n/3 - 28.
4*(n - 21)*(n + 1)**2/3
What is h in 2*h**2/7 - 18/7 = 0?
-3, 3
Factor -j**3 + 222*j**2 + 904*j.
-j*(j - 226)*(j + 4)
Let 27*r**2 - 246*r + 27 = 0. What is r?
1/9, 9
Factor -2*q**3 - 20*q**2.
-2*q**2*(q + 10)
Factor 4*f**4/7 - 32*f**3/7 + 20*f**2/7 + 152*f/7 + 96/7.
4*(f - 6)*(f - 4)*(f + 1)**2/7
Find g such that 3*g**5 - 3642*g**4 + 1483428*g**3 - 206587800*g**2 + 1582426368*g - 3118310784 = 0.
4, 402
Factor 8*d**3 - 128*d**2 - 134*d - 34.
2*(d - 17)*(2*d + 1)**2
Determine q, given that 25*q**2/4 - 99*q/4 - 1 = 0.
-1/25, 4
Suppose -204*b**2 - 364*b - 160 = 0. What is b?
-1, -40/51
Factor 4*b**4/7 - 72*b**3/7 + 324*b**2/7 - 432*b/7.
4*b*(b - 12)*(b - 3)**2/7
Let 4*n**5/3 + 68*n**4/3 + 424*n**3/3 + 1160*n**2/3 + 1300*n/3 + 500/3 = 0. Calculate n.
-5, -1
Find g, given that -g**2/6 + 23*g/6 = 0.
0, 23
Determine v, given that -4*v**3 + 68*v**2 + 5156*v - 5220 = 0.
-29, 1, 45
Determine d so that -5*d**3 - 10*d**2 + 75*d = 0.
-5, 0, 3
Let p**2/3 - 1288*p/3 + 414736/3 = 0. Calculate p.
644
Suppose -d**4/5 + 28*d**3/5 - 197*d**2/5 + 314*d/5 - 144/5 = 0. Calculate d.
1, 8, 18
Solve 2*k**3/3 - 34*k**2/3 + 62*k/3 - 10 = 0 for k.
1, 15
Suppose 5*p**3 + 160*p**2 - 1115*p + 950 = 0. What is p?
-38, 1, 5
Factor 5*n**3 - 30*n**2 + 15*n + 50.
5*(n - 5)*(n - 2)*(n + 1)
Factor 4*d**4 + 108*d**3 + 673*d**2 - 756*d + 196.
(d + 14)**2*(2*d - 1)**2
Factor 3*y**3 - 18*y**2 - 108*y - 120.
3*(y - 10)*(y + 2)**2
Factor -5*l**4/6 - 5*l**3/6 + 5*l**2/6 + 5*l/6.
-5*l*(l - 1)*(l + 1)**2/6
Suppose 3*q**3 - 21*q**2 - 3*q + 21 = 0. What is q?
-1, 1, 7
Factor j**2/5 - 9058*j/5 + 20511841/5.
(j - 4529)**2/5
Suppose 20*w**5 - 380*w**4 + 1565*w**3 + 2710*w**2 - 3700*w + 1000 = 0. Calculate w.
-2, 1/2, 10
Factor y**4/2 + 3*y**3/2.
y**3*(y + 3)/2
Factor -2*d**2/9 + 220*d/9 - 6050/9.
-2*(d - 55)**2/9
Find w such that 80*w**5 - 7480*w**4 + 25045*w**3 + 13930*w**2 + 1800*w = 0.
-1/4, 0, 4, 90
Factor 4*j**2 - 884*j + 4320.
4*(j - 216)*(j - 5)
Factor 2*u**3 + 780*u**2 + 3096*u + 3088.
2*(u + 2)**2*(u + 386)
Factor 2*v**2/9 + 116*v/9 - 118/9.
2*(v - 1)*(v + 59)/9
Determine y so that -162*y**5 + 720*y**4 + 2134*y**3 - 3964*y**2 + 1416*y - 144 = 0.
-3, 2/9, 1, 6
Factor -2*t**2/11 + 130*t/11.
-2*t*(t - 65)/11
Find k, given that 3*k**3 + 393*k**2 - 807*k - 1197 = 0.
-133, -1, 3
Solve -6*d**4/11 - 84*d**3/11 - 18*d**2 = 0 for d.
-11, -3, 0
Factor q**5/3 - 7*q**4/3 - q**3 + 19*q**2/3 + 14*q/3.
q*(q - 7)*(q - 2)*(q + 1)**2/3
Solve -n**3/2 - 435*n**2/2 - 46647*n/2 + 143883/2 = 0 for n.
-219, 3
Suppose -7*c**4/6 + 11*c**3/2 - 23*c**2/3 + 2*c + 4/3 = 0. Calculate c.
-2/7, 1, 2
Find t such that 3*t**5 - 33*t**4 + 24*t**3 + 564*t**2 - 1008*t = 0.
-4, 0, 2, 6, 7
Factor -2*g**4 + 14*g**3 - 24*g**2.
-2*g**2*(g - 4)*(g - 3)
Suppose c**5/2 - 7*c**4/2 - 32*c**3 + 14*c**2 + 120*c = 0. Calculate c.
-5, -2, 0, 2, 12
Let 9*o**5 - 49*o**4 + 101*o**3 - 99*o**2 + 46*o - 8 = 0. What is o?
4/9, 1, 2
Solve -2*c**4/3 + 12*c**3 + 88*c**2/3 - 48*c - 320/3 = 0 for c.
-2, 2, 20
Factor -2*b**2/3 + 10*b/3 - 4.
-2*(b - 3)*(b - 2)/3
Solve 2*n**2/17 + 28*n/17 + 98/17 = 0.
-7
Determine o, given that -2*o**2/11 + 16*o/11 - 32/11 = 0.
4
Find q such that -5*q**3 + 5*q**2 + 50*q + 40 = 0.
-2, -1, 4
Find d such that -5*d**2 + 31650*d - 50086125 = 0.
3165
Factor -3*s**4 - 45*s**3 + 51*s**2 + 45*s - 48.
-3*(s - 1)**2*(s + 1)*(s + 16)
Let 4*y**3/3 + 44*y**2/3 - 56*y = 0. What is y?
-14, 0, 3
Suppose -3*r**2/7 - 3*r + 132/7 = 0. Calculate r.
-11, 4
Solve -z**3/6 - 97*z**2/6 - 2491*z/6 - 2209/2 = 0.
-47, -3
Solve 2*q**5 + 2*q**4 - 16*q**3 - 16*q**2 + 32*q + 32 = 0.
-2, -1, 2
Factor -5*n**4 - 145*n**3 - 1215*n**2 - 2015*n + 3380.
-5*(n - 1)*(n + 4)*(n + 13)**2
Factor 74*a**2 - 68*a - 6.
2*(a - 1)*(37*a + 3)
What is z in -2*z**2/13 + 2*z/13 + 84/13 = 0?
-6, 7
Suppose -2738*z**2/7 + 444*z/7 - 18/7 = 0. Calculate z.
3/37
Factor -5*g**4 + 105*g**3 - 6860*g.
-5*g*(g - 14)**2*(g + 7)
Factor w**2/4 + 23*w.
w*(w + 92)/4
What is y in 9*y**3/2 + 903*y**2/2 - 1833*y/2 + 921/2 = 0?
-307/3, 1
Factor -5*a**2 - 35*a - 60.
-5*(a + 3)*(a + 4)
Let 2*h**4/3 - 36*h**3 + 488*h**2 - 2612*h/3 + 418 = 0. Calculate h.
1, 19, 33
Suppose 5*a**5 + 100*a**4 + 180*a**3 - 10*a**2 - 185*a - 90 = 0. What is a?
-18, -1, 1
Solve 2*p**5 - 56*p**4 - 480*p**3 + 2528*p**2 - 2720*p = 0 for p.
-10, 0, 2, 34
Suppose j**3/2 - 13*j**2/2 + 15*j = 0. Calculate j.
0, 3, 10
Let -136125*l**3 - 136785*l**2 - 3304*l/5 - 4/5 = 0. What is l?
-1, -2/825
Let 4*o**5 - 12*o**4 - 328*o**3 + 1776*o**2 - 1440*o = 0. Calculate o.
-10, 0, 1, 6
Factor -x**5/4 + 131*x**4/4 - 252*x**3 + 746*x**2 - 988*x + 492.
-(x - 123)*(x - 2)**4/4
Suppose -4*g**2 - 519*g + 130 = 0. Calculate g.
-130, 1/4
Find w, given that -2*w**4/9 + 32*w**3/3 + 100*w**2/9 - 32*w/3 - 98/9 = 0.
-1, 1, 49
Factor 4*y**2 + 72*y + 324.
4*(y + 9)**2
Factor -14*x**3 - 186*x**2 + 144*x + 56.
-2*(x - 1)*(x + 14)*(7*x + 2)
Determine x, given that 5*x**5 + 40*x**4 = 0.
-8, 0
Let -c**2/2 + 93*c/8 - 23/8 = 0. Calculate c.
1/4, 23
Factor -p**3/7 + 11*p**2/7 + 12*p/7.
-p*(p - 12)*(p + 1)/7
Find m, given that -6*m**3/5 - 32*m**2/15 + 62*m/15 - 4/5 = 0.
-3, 2/9, 1
Let 5*h**2 - 1660*h = 0. What is h?
0, 332
Solve h**4/5 + 59*h**3/5 + 899*h**2/5 + 841*h/5 = 0.
-29, -1, 0
Factor -66*h**2/7 + 306*h/7 - 24.
-6*(h - 4)*(11*h - 7)/7
Suppose 4*m**3/3 + 16*m**2 + 48*m = 0. What is m?
-6, 0
Factor -35*w**3 - 125*w**2 - 45*w + 45.
-5*(w + 1)*(w + 3)*(7*w - 3)
Find m, given that -m**3/6 + 5*m**2/6 - m/2 - 3/2 = 0.
-1, 3
Factor -j**4/7 - 4*j**3/7 + 403*j**2/7 + 3718*j/7.
-j*(j - 22)*(j + 13)**2/7
Factor 2*u**2 - 174*u + 340.
2*(u - 85)*(u - 2)
Factor d**5 - 4*d**3 - 2*d**2 + 3*d + 2.
(d - 2)*(d - 1)*(d + 1)**3
Determine d, given that d**3 - 78*d**2 + 432*d = 0.
0, 6, 72
Solve -9*q**3/2 + 65*q**2/2 + 74*q - 18 = 0 for q.
-2, 2/9, 9
Solve -375*q**5 - 1825*q**4 - 3085*q**3 - 1875*q**2 + 80*q + 320 = 0.
-8/5, -1, 1/3
Factor -3*d**3 - 486*d**2 - 26163*d - 467856.
-3*(d + 48)*(d + 57)**2
Find z, given that 4*z**5 + 112*z**4 - 372*z**3 = 0.
-31, 0, 3
Factor 5*w**3 - 3480*w**2 + 612420*w - 2394320.
5*(w - 346)**2*(w - 4)
Factor -2*g**3 - 128*g**2 + 8*g + 512.
-2*(g - 2)*(g + 2)*(g + 64)
Suppose 3*g**3 - 3*g**2 - 18*g = 0. What is g?
-2, 0, 3
Solve -3*l**3 - 21*l**2 + 15*l + 225 = 0 for l.
-5, 3
Suppose -2*s**3 - 892*s**2 + 1790*s - 896 = 0. Calculate s.
-448, 1
Factor -4*o**3/7 - 82*o**2/7 - 40*o/7.
-2*o*(o + 20)*(2*o + 1)/7
Factor 2*n**2/9 + 46*n - 416/9.
2*(n - 1)*(n + 208)/9
Factor w**2/9 + 34*w/3 - 240.
(w - 18)*(w + 120)/9
Find x, given that -808*x**2/9 + 250*x/9 - 4/3 = 0.
6/101, 1/4
Factor -4*c**3/5 + 14*c**2/5 + 14*c/5 - 24/5.
-2*(c - 4)*(c - 1)*(2*c + 3)/5
Factor q**3/4 - 31*q**2/4 + 78*q - 252.
(q - 12)**2*(q - 7)/4
Solve 3*p**3/2 + 15*p**2 + 42*p + 36 = 0.
-6, -2
What is h in 3*h**3 - 87*h**2 - 96*h + 180 = 0?
-2, 1, 30
Find f, given that 4*f**2/5 + 144*f + 6480 = 0.
-90
Factor 20*l**5 - 17460*l**4 + 3801905*l**3 + 3815010*l**2 + 954845*l.
5*l*(l - 437)**2*(2*l + 1)**2
Find d such that -35*d**5 - 270*d**4 + 115*d**3 + 270*d**2 - 80*d = 0.
-8, -1, 0, 2/7, 1
Let -c**3/5 + 3246*c**2/5 - 3512172*c/5 + 1266723368/5 = 0. Calculate c.
1082
Find s, given that -3*s**4 - 36*s**3 - 108*s**2 + 96*s + 576 = 0.
-6, -4, 2
What is z in -2*z**5/5 + 14*z**4/5 - 6*z**3/5 - 46*z**2/5 + 64*z/5 - 24/5 = 0?
-2, 1, 6
Let -2*b**4/7 - 198*b**3/7 - 956*b**2/7 - 216*b - 752/7 = 0. Calculate b.
-94, -2, -1
Factor -2*f**4/3 - 8*f**3 - 104*f**2/3 - 64*f - 128/3.
-2*(f + 