 given that 7*k**5 - 12*k**4 - 60*k**3 - 16*k**2 = 0.
-2, -2/7, 0, 4
Solve 4*u**5/7 - 200*u**4/7 - 1332*u**3/7 - 712*u**2/7 + 320*u = 0.
-5, -2, 0, 1, 56
Let 5*m**4/3 - 13*m**3/3 - 2*m**2 = 0. What is m?
-2/5, 0, 3
Factor 5*t**3 + 90*t**2 + 400*t.
5*t*(t + 8)*(t + 10)
Solve -2*r**2/17 - 184*r/17 + 186/17 = 0.
-93, 1
Let d**3/4 - 17*d**2/4 + 11*d - 7 = 0. Calculate d.
1, 2, 14
Factor o**2/4 + 67*o + 4489.
(o + 134)**2/4
What is q in 14*q**3/5 - 124*q**2 + 6952*q/5 - 1936/5 = 0?
2/7, 22
Factor -3*o**2/2 - 84*o + 531/2.
-3*(o - 3)*(o + 59)/2
What is d in 2*d**4 - 14*d**3 - 54*d**2 - 58*d - 20 = 0?
-1, 10
Determine o, given that -5*o**2 - 69390*o - 240748605 = 0.
-6939
Factor 2*n**2/7 + 6016*n/7 + 4524032/7.
2*(n + 1504)**2/7
What is j in j**3 + 138*j**2 + 4620*j - 9800 = 0?
-70, 2
Suppose 5*f**3 - 195*f**2 - 840*f - 860 = 0. Calculate f.
-2, 43
Factor -5*d**2 - 75*d - 180.
-5*(d + 3)*(d + 12)
Determine a so that 2*a**5 + 72*a**4 + 784*a**3 + 1508*a**2 - 11154*a + 8788 = 0.
-13, 1, 2
Factor 3*c**2 - 129*c.
3*c*(c - 43)
Determine y, given that y**5 + 36*y**4 - 38*y**3 - 36*y**2 + 37*y = 0.
-37, -1, 0, 1
Factor -5*q**2 - 620*q - 2400.
-5*(q + 4)*(q + 120)
Solve 5*o**3 + 13*o**2 + 4*o - 4 = 0 for o.
-2, -1, 2/5
Find p such that 2*p**3/3 + 152*p**2/3 + 298*p/3 + 148/3 = 0.
-74, -1
Solve -2*q**3 + 23*q**2/2 - 7*q - 5/2 = 0.
-1/4, 1, 5
Factor r**4 - 154*r**3 - 155*r**2.
r**2*(r - 155)*(r + 1)
Determine f so that f**5 + f**4 - 39*f**3 + 119*f**2 - 130*f + 48 = 0.
-8, 1, 2, 3
Factor d**2 + 7*d - 44.
(d - 4)*(d + 11)
Factor t**4/2 - t**3/2 - 3*t**2.
t**2*(t - 3)*(t + 2)/2
Suppose 3*j**5/7 - 3*j**3/7 = 0. What is j?
-1, 0, 1
Suppose -4*v**4 + 956*v**3 - 1892*v**2 - 956*v + 1896 = 0. Calculate v.
-1, 1, 2, 237
Factor -5*z**3 - 10*z**2 + 655*z + 660.
-5*(z - 11)*(z + 1)*(z + 12)
Let c**3/4 - 31*c**2/4 = 0. Calculate c.
0, 31
Factor -5*p**4 - 90*p**3 - 225*p**2 + 1620*p.
-5*p*(p - 3)*(p + 9)*(p + 12)
Suppose -m**2/7 + 17*m/7 + 18/7 = 0. What is m?
-1, 18
Find t such that -3*t**2 - 102*t + 105 = 0.
-35, 1
Factor 5*q**4 - 5*q**2.
5*q**2*(q - 1)*(q + 1)
Factor -5*d**3 - 50*d**2 + 545*d - 850.
-5*(d - 5)*(d - 2)*(d + 17)
Factor 2*q**3 - 5*q**2 - 53*q + 110.
(q - 2)*(q + 5)*(2*q - 11)
Find a, given that -7396*a**3 + 6708*a**2 + 672*a + 16 = 0.
-2/43, 1
Factor 2*r**3/13 - 44*r**2/13 - 218*r/13 + 20.
2*(r - 26)*(r - 1)*(r + 5)/13
Suppose 38*r**2 + 118*r + 12 = 0. Calculate r.
-3, -2/19
Factor 4*x**5 - 60*x**4 + 268*x**3 - 372*x**2 + 160*x.
4*x*(x - 8)*(x - 5)*(x - 1)**2
Suppose 129*a**4 + 375*a**3 - 810*a**2 - 960*a + 96 = 0. Calculate a.
-4, -1, 4/43, 2
Factor 6*d**4 - 106*d**3 - 36*d**2.
2*d**2*(d - 18)*(3*d + 1)
Factor -2*b**5 - 24830*b**4 - 123305780*b**3 - 306168251740*b**2 - 380107884535210*b - 188761575460185286.
-2*(b + 2483)**5
Let -4*l**2/5 + 32*l - 320 = 0. Calculate l.
20
What is w in 2*w**2/3 - 56*w/3 + 392/3 = 0?
14
Suppose -2*r**4/5 - 14*r**3/5 + 78*r**2/5 + 126*r/5 - 108 = 0. Calculate r.
-10, -3, 3
Solve g**4/3 - 6*g**3 - 7*g**2 + 38*g/3 = 0.
-2, 0, 1, 19
Find c, given that -c**2 + 2*c + 3 = 0.
-1, 3
Let -5*b**2 + 2360*b - 278480 = 0. What is b?
236
What is l in -3*l**3 - 6*l**2 + 33*l + 36 = 0?
-4, -1, 3
What is i in -2*i**4/7 + 72*i**3/7 - 444*i**2/7 - 1112*i/7 - 594/7 = 0?
-1, 11, 27
Determine u so that -2*u**4 + 8*u**3 - 12*u**2 + 8*u - 2 = 0.
1
Determine h, given that h**4/2 - h**3/2 - 3*h**2/2 + h/2 + 1 = 0.
-1, 1, 2
Solve 20*s**5 + 556*s**4 + 4328*s**3 + 6392*s**2 + 1924*s - 676 = 0.
-13, -1, 1/5
Determine p, given that p**4 + p**3 - 17*p**2 - 21*p + 36 = 0.
-3, 1, 4
Suppose -2*q**4/5 + 26*q**3/5 - 14*q**2 - 98*q/5 = 0. Calculate q.
-1, 0, 7
Factor 3*g**5/8 - 9*g**4/2 + 12*g**3.
3*g**3*(g - 8)*(g - 4)/8
Solve 3*z**3 + 18*z**2 + 36*z + 24 = 0.
-2
Determine x so that -196*x**5/3 - 20272*x**4/3 - 2852*x**3 + 9872*x**2/3 - 1648*x/3 = 0.
-103, -1, 0, 2/7
Factor -2*m**5 - 42*m**4 - 270*m**3 - 486*m**2.
-2*m**2*(m + 3)*(m + 9)**2
Determine g, given that 3*g**3 + 39*g**2 + 30*g - 72 = 0.
-12, -2, 1
Solve 25*c**2 + 170*c + 64 = 0.
-32/5, -2/5
Factor 2*f**5/9 + 2*f**4 - 44*f**3/9.
2*f**3*(f - 2)*(f + 11)/9
Factor 10*h**5 - 2*h**4 - 12*h**3.
2*h**3*(h + 1)*(5*h - 6)
Determine y so that -4*y**4 - 12*y**3 - 7*y**2 + 3*y + 2 = 0.
-2, -1, -1/2, 1/2
Factor -5*i**3 + 240*i**2 + 755*i + 510.
-5*(i - 51)*(i + 1)*(i + 2)
Let -q**3/2 + 19*q**2/2 + q/2 - 19/2 = 0. Calculate q.
-1, 1, 19
Factor -4*m**2 + 544*m - 18496.
-4*(m - 68)**2
What is y in y**2/2 + 1425*y/2 - 713 = 0?
-1426, 1
Let 5*v**3 - 140*v**2 + 1300*v - 4000 = 0. What is v?
8, 10
Factor -o**2/2 - 2*o - 2.
-(o + 2)**2/2
What is z in 2*z**5/7 + 18*z**4/7 + 50*z**3/7 + 54*z**2/7 + 20*z/7 = 0?
-5, -2, -1, 0
Determine n, given that -n**3 + 9*n**2 - 27*n + 27 = 0.
3
Let -b**2/2 + 13*b/2 - 18 = 0. What is b?
4, 9
Factor -2*u**2 - 34*u - 132.
-2*(u + 6)*(u + 11)
Factor 5*g**2 - 40*g - 420.
5*(g - 14)*(g + 6)
Factor w**2/6 - w - 7/6.
(w - 7)*(w + 1)/6
Find f such that -3*f**2 + 507*f + 510 = 0.
-1, 170
Suppose -h**5 + 29*h**4 - 149*h**3 + 259*h**2 - 138*h = 0. What is h?
0, 1, 2, 3, 23
Factor m**2/10 + 18*m/5 - 37/10.
(m - 1)*(m + 37)/10
Determine n, given that 2*n**2/13 + 204*n/13 + 5202/13 = 0.
-51
Factor u**2/4 + 13*u/2 + 12.
(u + 2)*(u + 24)/4
Solve 4*q**4 + 20*q**3 - 64*q**2 - 272*q - 192 = 0 for q.
-6, -2, -1, 4
Solve 135*d**3 + 20115*d**2 + 999045*d + 16539745 = 0.
-149/3
Find w such that -w**3/4 + w**2 + 29*w/4 + 6 = 0.
-3, -1, 8
Let -o**5/3 - 7*o**4/3 + 16*o**3/3 + 88*o**2/3 - 80*o + 48 = 0. Calculate o.
-6, 1, 2
Factor 3*g**5 + 105*g**4 + 1440*g**3 + 9720*g**2 + 32400*g + 42768.
3*(g + 6)**4*(g + 11)
Determine r so that 3*r**2 + 162*r + 735 = 0.
-49, -5
Let 3*f**4/8 + 249*f**3/8 - 63*f**2/2 = 0. What is f?
-84, 0, 1
Let 2*l**2/3 - 3076*l/9 - 114 = 0. What is l?
-1/3, 513
Factor -2*k**2/5 + 26*k/5 + 396/5.
-2*(k - 22)*(k + 9)/5
Determine c so that -2*c**4/5 - 14*c**3/5 - 4*c**2 = 0.
-5, -2, 0
Factor 5*x**3 - 285*x**2 - 1205*x - 915.
5*(x - 61)*(x + 1)*(x + 3)
Determine u so that 2*u**3 - 164*u**2 - 518*u + 680 = 0.
-4, 1, 85
Let 5*p**3 + 110*p**2 + 295*p + 190 = 0. What is p?
-19, -2, -1
Factor 4*l**5/7 + 20*l**4/7 + 36*l**3/7 + 4*l**2 + 8*l/7.
4*l*(l + 1)**3*(l + 2)/7
Let -h**5/3 + 14*h**4/3 - 52*h**3/3 + 22*h**2 - 9*h = 0. Calculate h.
0, 1, 3, 9
Let 2*g**5 - 16*g**3 + 12*g**2 + 14*g - 12 = 0. What is g?
-3, -1, 1, 2
Factor -2*m**3/15 - 268*m**2/15 - 1048*m/15 - 208/3.
-2*(m + 2)**2*(m + 130)/15
Find s such that -s**4/3 + 17*s**3/3 = 0.
0, 17
Let 5*t**4 - 185*t**3 - 5*t**2 + 185*t = 0. Calculate t.
-1, 0, 1, 37
Suppose -u**2/3 - 11*u/3 + 42 = 0. Calculate u.
-18, 7
Factor 2*h**4 + 16*h**3 - 2*h**2 - 16*h.
2*h*(h - 1)*(h + 1)*(h + 8)
Factor -576*w**3 + 1680*w**2 + 143*w + 3.
-(w - 3)*(24*w + 1)**2
Factor 4*a**2/5 + 116*a/5 + 312/5.
4*(a + 3)*(a + 26)/5
Factor -2*p**4 - 18*p**3 - 16*p**2.
-2*p**2*(p + 1)*(p + 8)
Determine i, given that 2*i**5/7 - 60*i**4/7 - 936*i**3/7 - 432*i**2 = 0.
-6, 0, 42
Find x such that -2*x**4 + 206*x**3 + 420*x**2 = 0.
-2, 0, 105
Solve h**2/10 - 701*h + 7009/10 = 0.
1, 7009
Find f such that -2*f**2 - 1145*f/2 - 143 = 0.
-286, -1/4
Solve -2*a**5 + 28*a**4 - 68*a**3 + 16*a**2 + 70*a - 44 = 0 for a.
-1, 1, 2, 11
Factor 4*c**4 + 172*c**3 + 788*c**2 + 1076*c + 456.
4*(c + 1)**2*(c + 3)*(c + 38)
Suppose -2*n**2/11 - 62*n/11 + 12 = 0. Calculate n.
-33, 2
Let -v**5/4 + v**4/4 + 5*v**3/4 - 5*v**2/4 - v + 1 = 0. What is v?
-2, -1, 1, 2
Find n, given that 3*n**4 + 66*n**3 - 9*n**2 - 192*n + 132 = 0.
-22, -2, 1
Factor -39*x**2 + 423*x + 66.
-3*(x - 11)*(13*x + 2)
Factor -s**2/6 - 11*s/6 - 5.
-(s + 5)*(s + 6)/6
Find i, given that i**4 + 40*i**3 + 113*i**2 + 74*i = 0.
-37, -2, -1, 0
Find p such that 4*p**5/7 + 8*p**4 + 96*p**3/7 - 8*p**2/7 - 100*p/7 - 48/7 = 0.
-12, -1, 1
Factor -d**4/6 + 5*d**3/2 - 12*d**2 + 70*d/3 - 16.
-(d - 8)*(d - 3)*(d - 2)**2/6
Determine z so that 9*z**4/10 + 199*z**3/10 + 181*z**2/10 - 199*z/10 - 19 = 0.
-190/9, -1, 1
What is c in 2*c**4/13 - 36*c**3/13 - 40*c**2/13 + 36*c/13 + 38/13 = 0?
-1, 1, 19
Factor -3*q**2/4 + 360*q - 43200.
-3*(q - 240)**2/4
Let 477*n**4 + 6*n**3 = 0. What is n?
-2/159, 0
Factor 2*t**3 + 110*t**2 + 214*t + 106.
2*(t + 1)**2*(t + 53)
Determine b so that -3*b**3 - 24*b**2 + 237*b - 210 = 0.
-14, 1, 5
Factor -g**2/2 - 367*g - 134689/2.
-(g