*(k + 1)*(k + 4)*(k + 6)/13
Solve 14*h**5/3 + 220*h**4/3 + 44*h**3 - 280*h**2/3 - 146*h/3 + 20 = 0.
-15, -1, 2/7, 1
Factor 2*d**3 + 6*d**2 - 2*d - 6.
2*(d - 1)*(d + 1)*(d + 3)
Let -f**4 - 4*f**3 + 38*f**2 - 60*f + 27 = 0. What is f?
-9, 1, 3
Factor -p**2 - 7*p + 18.
-(p - 2)*(p + 9)
Determine b, given that -2*b**2/15 - 44*b/15 - 16/3 = 0.
-20, -2
Factor 5*h**2 - 2320*h - 7005.
5*(h - 467)*(h + 3)
Find d such that 75*d**2 + 740*d - 100 = 0.
-10, 2/15
Factor -4*p**2 - 2688*p - 451584.
-4*(p + 336)**2
Let 27*r**2 + 40*r + 13 = 0. What is r?
-1, -13/27
Factor 98*t**3 - 1344*t**2 + 2088*t - 864.
2*(t - 12)*(7*t - 6)**2
Factor 5*n**2/4 + 115*n/4.
5*n*(n + 23)/4
Factor 2*g**2 - 9*g + 4.
(g - 4)*(2*g - 1)
Factor -64*d**3 + 160*d**2 - 132*d + 36.
-4*(d - 1)*(4*d - 3)**2
Suppose g**2/2 + 19*g/2 + 17 = 0. Calculate g.
-17, -2
Factor 3*r**2 - 105*r.
3*r*(r - 35)
Find t, given that -36*t**5/7 + 145*t**4/7 + 106*t**3/7 - 659*t**2/7 + 12*t/7 + 36/7 = 0.
-2, -2/9, 1/4, 3
Solve -5*r**5/4 + 45*r**4/4 - 75*r**3/2 + 55*r**2 - 30*r = 0.
0, 2, 3
Let f**3/3 - f**2/3 - 4*f/3 + 4/3 = 0. Calculate f.
-2, 1, 2
Determine z so that -49*z**4/2 - 84*z**3 + 54*z**2 - 8*z = 0.
-4, 0, 2/7
Suppose a**3/3 + 7*a**2/3 - a/3 - 7/3 = 0. Calculate a.
-7, -1, 1
Let 3*r**2/7 + 2046*r/7 + 348843/7 = 0. What is r?
-341
Factor -3*l**4/7 + 3*l**3/7 + 51*l**2/7 + 45*l/7.
-3*l*(l - 5)*(l + 1)*(l + 3)/7
Suppose -3*k**2/8 - 9*k/8 + 27/4 = 0. What is k?
-6, 3
What is t in t**3 - 86*t**2 + 2449*t - 23064 = 0?
24, 31
Determine a, given that 5*a**4 - 15*a**3 - 35*a**2 + 75*a + 90 = 0.
-2, -1, 3
Factor 2*j**2/3 - 26*j/3 + 20.
2*(j - 10)*(j - 3)/3
Determine i, given that 5*i**5 - 160*i**4 - 335*i**3 - 170*i**2 = 0.
-1, 0, 34
Find x, given that -x**4/6 - x**3/2 + x**2/3 + 2*x + 4/3 = 0.
-2, -1, 2
Solve -4*z**4/3 + 44*z**3/3 - 36*z**2 + 100*z/3 - 32/3 = 0.
1, 8
Solve -2*j**3/7 + 456*j**2/7 + 920*j/7 = 0 for j.
-2, 0, 230
Determine n, given that 28*n**3 + 68*n**2 + 52*n + 12 = 0.
-1, -3/7
Factor -3*m**3 - 57*m**2 - 165*m + 225.
-3*(m - 1)*(m + 5)*(m + 15)
Factor -2*x**3/17 + 6*x**2/17 + 20*x/17.
-2*x*(x - 5)*(x + 2)/17
Find x such that x**3/6 - 116*x**2/3 + 6728*x/3 = 0.
0, 116
Solve -b**2/2 - 17*b/2 - 8 = 0 for b.
-16, -1
Suppose -h**5/10 - 51*h**4/5 - 144*h**3/5 + 443*h**2/5 - 99*h/2 = 0. Calculate h.
-99, -5, 0, 1
Factor -2*c**3/9 + 8*c**2/3 + 56*c/9.
-2*c*(c - 14)*(c + 2)/9
What is g in g**3 - 13*g**2 + 12*g = 0?
0, 1, 12
Determine d so that 2*d**2 + 246*d - 248 = 0.
-124, 1
Solve -5*v**5/9 + 218*v**4/9 + 103*v**3/9 - 664*v**2/9 + 172*v/9 + 176/9 = 0 for v.
-2, -2/5, 1, 44
Factor 5*v**5 + 50*v**4 - 55*v**3.
5*v**3*(v - 1)*(v + 11)
Let -2*n**2 + 1036*n + 1038 = 0. What is n?
-1, 519
Factor 2*d**2/15 + 88*d/3 + 4840/3.
2*(d + 110)**2/15
Factor 5*w**3/2 - 41*w**2/2 + 43*w/2 - 7/2.
(w - 7)*(w - 1)*(5*w - 1)/2
Factor -4*r**2 - 80*r.
-4*r*(r + 20)
What is q in -q**5/4 + 5*q**4 - 40*q**3 + 160*q**2 - 320*q + 256 = 0?
4
Find o, given that 336*o**4/11 - 534*o**3/11 - 24*o**2 - 24*o/11 = 0.
-2/7, -1/8, 0, 2
Determine i, given that 16*i**4 + 12*i**3 - 20*i**2 - 12*i + 4 = 0.
-1, 1/4, 1
Solve 3*m**2 + 171*m/4 + 21/2 = 0 for m.
-14, -1/4
Determine y so that -2*y**3 - 3072*y**2 - 1182714*y - 2353156 = 0.
-767, -2
Solve -4*l**2 - 54528*l - 185831424 = 0.
-6816
Find n such that -6*n**4/7 + 102*n**2/7 - 216*n/7 + 120/7 = 0.
-5, 1, 2
Factor -4*c**2 - 440*c - 4704.
-4*(c + 12)*(c + 98)
Find h such that -2*h**2/5 - 328*h/5 + 66 = 0.
-165, 1
Factor 5*x**3 + 50*x**2.
5*x**2*(x + 10)
Let -k**2/3 + 742*k/3 - 137641/3 = 0. Calculate k.
371
Let -r**4/2 - r**3/2 + 9*r**2/2 - 11*r/2 + 2 = 0. What is r?
-4, 1
Factor 4*j**3 + 376*j**2 + 1420*j - 1800.
4*(j - 1)*(j + 5)*(j + 90)
Factor 5*d**2 - 2510*d - 2515.
5*(d - 503)*(d + 1)
Factor -4*n**2 - 272*n - 268.
-4*(n + 1)*(n + 67)
Factor 4*j**2/5 - 144/5.
4*(j - 6)*(j + 6)/5
Solve -h**4/9 - 2*h**3/3 + 7*h**2/9 + 16*h/3 + 4 = 0 for h.
-6, -2, -1, 3
Factor 3*w**2/5 + 36*w/5.
3*w*(w + 12)/5
Find j, given that 5*j**3 + 65*j**2 - 100*j - 420 = 0.
-14, -2, 3
Factor z**3/4 + 177*z**2/4 + 433*z/2 + 258.
(z + 2)*(z + 3)*(z + 172)/4
Let -4*l**4 + 24*l**3 + 620*l**2 + 2064*l + 1904 = 0. Calculate l.
-7, -2, 17
Factor y**3/4 + 20*y**2 + 1677*y/4 + 1521/2.
(y + 2)*(y + 39)**2/4
Factor d**4/4 + 6*d**3 + 109*d**2/4 - 273*d/2 - 338.
(d - 4)*(d + 2)*(d + 13)**2/4
Factor 8*h**4 + 45*h**3 - 74*h**2 + 21*h.
h*(h - 1)*(h + 7)*(8*h - 3)
Find f, given that 8*f**4/9 + 866*f**3/9 + 3568*f**2/9 + 3334*f/9 + 208/3 = 0.
-104, -3, -1, -1/4
Let r**3/6 + 301*r**2/6 + 11096*r/3 - 11552 = 0. What is r?
-152, 3
Let 3*q**3 - 6*q**2 + 3*q = 0. Calculate q.
0, 1
Let -2*f**3/3 - 16*f**2 + 384*f - 5120/3 = 0. What is f?
-40, 8
Determine f, given that -f**3/4 + 2157*f**2/4 - 1550883*f/4 + 371694959/4 = 0.
719
Suppose 9*v**5 + 111*v**4 + 279*v**3 + 81*v**2 = 0. What is v?
-9, -3, -1/3, 0
Factor -c**2/4 - 25*c/4 - 33/2.
-(c + 3)*(c + 22)/4
Factor 2*v**4/7 + 12*v**3/7 - 2*v**2/7 - 12*v/7.
2*v*(v - 1)*(v + 1)*(v + 6)/7
Factor -2*h**3/9 - 1240*h**2/9 - 63232*h/3 + 86528.
-2*(h - 4)*(h + 312)**2/9
Suppose 4*s**4 - 756*s**3 + 748*s**2 + 756*s - 752 = 0. What is s?
-1, 1, 188
Factor -x**5 - 10*x**4 + x**3 + 10*x**2.
-x**2*(x - 1)*(x + 1)*(x + 10)
Find f, given that 3*f**2/5 + 2253*f/5 = 0.
-751, 0
Find c, given that -c**4 + c**3 + 25*c**2 - 25*c = 0.
-5, 0, 1, 5
Factor -4*k**3/7 - 68*k**2/7 - 36*k + 324/7.
-4*(k - 1)*(k + 9)**2/7
Factor 4*c**3 + 1784*c**2 + 198916*c.
4*c*(c + 223)**2
Factor 4*f**2/5 - 304*f/5 + 3072/5.
4*(f - 64)*(f - 12)/5
Factor -3*p**2 - 4860*p - 1968300.
-3*(p + 810)**2
Determine i, given that -3*i**2/2 - 1749*i - 1019667/2 = 0.
-583
Let -z**5/2 + 11*z**3/2 + 9*z**2 + 4*z = 0. Calculate z.
-2, -1, 0, 4
Factor -4*v**2 + 8*v + 12.
-4*(v - 3)*(v + 1)
Factor 2*q**4/23 - 24*q**3/23 - 54*q**2/23 - 28*q/23.
2*q*(q - 14)*(q + 1)**2/23
Let d**2 - 6*d - 7 = 0. Calculate d.
-1, 7
Factor 5*v**5 - 100*v**4 + 180*v**3 + 10*v**2 - 185*v + 90.
5*(v - 18)*(v - 1)**3*(v + 1)
Let -4*u**5 + 8*u**4 + 24*u**3 - 32*u**2 - 20*u + 24 = 0. Calculate u.
-2, -1, 1, 3
Factor 3*c**5/7 - 18*c**4/7 + 39*c**3/7 - 36*c**2/7 + 12*c/7.
3*c*(c - 2)**2*(c - 1)**2/7
Determine g, given that -7*g**5/6 - 85*g**4/6 - 41*g**3/3 + 37*g**2/3 + 89*g/6 + 11/6 = 0.
-11, -1, -1/7, 1
Let 5*m**4 + 5*m**3 - 15*m**2 - 5*m + 10 = 0. What is m?
-2, -1, 1
Let -15*o**2/8 + 81*o/2 + 339/8 = 0. Calculate o.
-1, 113/5
Factor -2*s**4/3 + 8*s**3/3 + 50*s**2/3 - 56*s/3.
-2*s*(s - 7)*(s - 1)*(s + 4)/3
Solve -5*j**2 + 120*j = 0.
0, 24
Determine s, given that -5*s**5 - 55*s**4 - 165*s**3 - 185*s**2 - 70*s = 0.
-7, -2, -1, 0
Factor -2*u**2/11 + 72*u/11 + 234/11.
-2*(u - 39)*(u + 3)/11
Factor q**3/8 - 5*q**2/8 - q/2 + 5/2.
(q - 5)*(q - 2)*(q + 2)/8
Determine i, given that -i**3/2 - 5*i**2/2 - 7*i/2 - 3/2 = 0.
-3, -1
Factor -5*i**3 - 335*i**2 - 655*i - 325.
-5*(i + 1)**2*(i + 65)
Let -4*l**2 - 15152*l - 14348944 = 0. What is l?
-1894
Let -j**4/7 + 30*j**3/7 - 220*j**2/7 - 120*j/7 + 128 = 0. Calculate j.
-2, 2, 14, 16
Find v, given that 361*v**3/3 + 1349*v**2 + 280*v + 44/3 = 0.
-11, -2/19
Factor c**3 - 4*c**2 - 19*c - 14.
(c - 7)*(c + 1)*(c + 2)
Factor w**2/4 - 11*w/2 - 26.
(w - 26)*(w + 4)/4
Let -q**3 + 25*q**2 + 112*q + 116 = 0. What is q?
-2, 29
Factor -2*t**2/3 - 26*t/3 + 20.
-2*(t - 2)*(t + 15)/3
Find j, given that -5*j**4/4 + 21*j**3 - 217*j**2/4 + 69*j/2 = 0.
0, 1, 2, 69/5
Suppose 2*t**3/13 - 44*t**2 + 1138*t/13 - 568/13 = 0. What is t?
1, 284
Factor -5*t**3 + 3930*t**2.
-5*t**2*(t - 786)
What is r in 9*r**2 - 210*r + 69 = 0?
1/3, 23
Solve 5*v**5 + 60*v**4 + 190*v**3 + 80*v**2 - 195*v - 140 = 0 for v.
-7, -4, -1, 1
Find c such that 3*c**3 + 201*c**2 + 1098*c = 0.
-61, -6, 0
Factor k**2/4 - 3*k/2 - 40.
(k - 16)*(k + 10)/4
Factor -5*d**3/4 - 315*d**2/4 + 495*d/2.
-5*d*(d - 3)*(d + 66)/4
Find j, given that j**4/7 - 61*j**3 + 2118*j**2/7 - 3380*j/7 + 1688/7 = 0.
1, 2, 422
Solve -d**5/3 - 2*d**4/3 + 10*d**3/3 + 20*d**2/3 - 3*d - 6 = 0 for d.
-3, -2, -1, 1, 3
Suppose -147*o**4 + 1449*o**3 - 3807*o**2 + 2511*o - 486 = 0. What is o?
3/7, 3, 6
Determine s, given that 54*s**5 + 5358*s**4 + 19118*s**3/3 - 9366*s**2 - 2288*s - 392/3 = 0.
-98, -2, -1/9, 1
Determine c so that 4*c**4 - 32*c**3 - 12*c**2 + 104*c - 64 = 0.
-2, 1, 8
Factor -15*d**2 - 725*d - 240.
-5*(d + 48)*(3*d + 