 165*q/7 - 3 = 0.
-1/2, 7
Find t such that 3*t**2 + 6*t = 0.
-2, 0
Find x, given that x**3 + 18*x**2 - 129*x - 322 = 0.
-23, -2, 7
Solve 54*k**5 - 594*k**4 + 1071*k**3/2 + 49*k**2 - 79*k/2 - 5 = 0.
-1/6, 1/3, 1, 10
Solve 4*v**3 + 4*v**2 - 40*v + 32 = 0.
-4, 1, 2
Suppose 4*t**3/3 + 220*t**2/3 - 248*t/3 - 448 = 0. Calculate t.
-56, -2, 3
Factor 4*b**2 - 1360*b + 1356.
4*(b - 339)*(b - 1)
Determine z, given that -9*z**2 - 291*z + 198 = 0.
-33, 2/3
Factor 2*u**3/7 + 32*u**2/7.
2*u**2*(u + 16)/7
Determine a so that 3*a**4/2 + 3*a**3 - 27*a**2/2 - 3*a + 12 = 0.
-4, -1, 1, 2
What is a in -8*a**3 - 30*a**2 - 24*a + 8 = 0?
-2, 1/4
Find b such that b**5 - 24*b**4/5 + 41*b**3/5 - 6*b**2 + 8*b/5 = 0.
0, 4/5, 1, 2
Factor 5*s**5 + 250*s**4 + 2865*s**3 - 6500*s**2 + 3380*s.
5*s*(s - 1)**2*(s + 26)**2
Solve -80*i**3/3 + 280*i**2/3 - 95*i + 30 = 0 for i.
3/4, 2
Let -r**4/5 + 19*r**3/5 = 0. Calculate r.
0, 19
Let b**2/2 - 2 = 0. What is b?
-2, 2
Factor -4*n**3/9 - 329*n**2/9 - 406*n/9 - 9.
-(n + 1)*(n + 81)*(4*n + 1)/9
Factor 2*a**4 + 392*a**3 + 24924*a**2 + 466856*a - 3007630.
2*(a - 5)*(a + 67)**3
Find z, given that 45*z**5 + 2645*z**4 + 16465*z**3 + 31715*z**2 + 13170*z - 4680 = 0.
-52, -3, -1, 2/9
Solve 4*x**3 + 584*x**2 + 20720*x - 43808 = 0.
-74, 2
Factor k**3 + 53*k**2 + 99*k - 153.
(k - 1)*(k + 3)*(k + 51)
Factor -l**4/3 + 38*l**3/3 - 24*l**2.
-l**2*(l - 36)*(l - 2)/3
Factor 3*t**3 + 5*t**2 - 718*t - 480.
(t - 15)*(t + 16)*(3*t + 2)
Factor n**5 + 32*n**4 + 385*n**3 + 2154*n**2 + 5580*n + 5400.
(n + 3)**2*(n + 6)*(n + 10)**2
Factor -2*x**2 + 6*x.
-2*x*(x - 3)
Factor 2*j**4/3 - 4*j**3/3 - 2*j**2/3 + 4*j/3.
2*j*(j - 2)*(j - 1)*(j + 1)/3
Factor g**2 + 412*g + 820.
(g + 2)*(g + 410)
Factor -u**2/4 - 11*u/4 + 21/2.
-(u - 3)*(u + 14)/4
Factor -5*k**3 - 75*k**2 + 165*k - 85.
-5*(k - 1)**2*(k + 17)
Solve 4*g**5 + 68*g**4 + 352*g**3 + 288*g**2 - 1728*g - 1728 = 0.
-6, -1, 2
Factor -15*v**3/4 - 21*v**2/4 + 6*v + 3.
-3*(v - 1)*(v + 2)*(5*v + 2)/4
Factor 3*z**4/4 - 3*z**3/2 - 1089*z**2/4 + 273*z + 24843.
3*(z - 14)**2*(z + 13)**2/4
Let 3*i**5/7 + 48*i**4/7 - 24*i**3 + 66*i**2/7 + 165*i/7 - 114/7 = 0. Calculate i.
-19, -1, 1, 2
Suppose -3*x**3/2 - x**2 + 4*x = 0. Calculate x.
-2, 0, 4/3
Factor t**2 + 20*t - 69.
(t - 3)*(t + 23)
Factor -p**2/5 + 98*p/5 + 99/5.
-(p - 99)*(p + 1)/5
Factor -2*w**5 + 36*w**4 - 66*w**3 + 32*w**2.
-2*w**2*(w - 16)*(w - 1)**2
Factor 4*g**3 + 18*g**2 + 14*g - 12.
2*(g + 2)*(g + 3)*(2*g - 1)
Let 25*g**5/3 + 85*g**4/3 - 190*g**3 - 2240*g**2/3 - 800*g/3 = 0. Calculate g.
-4, -2/5, 0, 5
Let 2*i**4/7 - 4*i**3/7 - 2*i**2/7 + 4*i/7 = 0. What is i?
-1, 0, 1, 2
Factor 125*o**3 - 270*o**2 + 165*o - 20.
5*(o - 1)**2*(25*o - 4)
Let 5*t**3 - 40*t**2 - 75*t + 270 = 0. Calculate t.
-3, 2, 9
Determine a, given that 21*a**3/5 - 8142*a**2/5 + 788028*a/5 + 225816/5 = 0.
-2/7, 194
Let 5*s**4 + 795*s**3 + 2340*s**2 = 0. What is s?
-156, -3, 0
Determine p so that -3*p**3 + 27*p**2 - 72*p + 48 = 0.
1, 4
Find j, given that j**2/2 - 15*j/2 + 7 = 0.
1, 14
Suppose 5*r**3/4 - 37*r**2/4 + 11*r - 3 = 0. What is r?
2/5, 1, 6
Factor 3*l**4 - 21*l**3 + 51*l**2 - 51*l + 18.
3*(l - 3)*(l - 2)*(l - 1)**2
Factor 2*f**2/7 + 128*f/7.
2*f*(f + 64)/7
Let -3*d**5 + 135*d**4 + 174*d**3 - 1668*d**2 + 504*d + 2208 = 0. What is d?
-4, -1, 2, 46
Let -8*i**3/5 - 44*i**2/5 - 36*i/5 = 0. Calculate i.
-9/2, -1, 0
Solve -u**2/5 - 9*u + 306/5 = 0.
-51, 6
What is n in n**3/4 + 25*n**2/4 - 53*n/4 + 27/4 = 0?
-27, 1
Factor 5*t**2 + 3420*t + 584820.
5*(t + 342)**2
Find b, given that -2*b**2/7 + 50*b/7 + 300/7 = 0.
-5, 30
What is k in -7*k**2 - 212*k/3 - 20/3 = 0?
-10, -2/21
What is b in -2*b**2/17 - 36*b/17 - 2 = 0?
-17, -1
Factor -5*l**2 + 25*l.
-5*l*(l - 5)
Solve -m**5/2 + 9*m**4/2 - 7*m**3/2 - 9*m**2/2 + 4*m = 0.
-1, 0, 1, 8
Factor -z**5/3 - 14*z**4/3 - 64*z**3/3 - 64*z**2/3 + 256*z/3 + 512/3.
-(z - 2)*(z + 4)**4/3
Solve 3*v**4/5 + 504*v**3/5 + 2952*v**2/5 + 5856*v/5 + 3888/5 = 0.
-162, -2
Determine n, given that n**4/4 - 15*n**3/4 + 17*n**2 - 15*n - 36 = 0.
-1, 4, 6
Solve -x**5 + 103*x**4 + 105*x**3 - 103*x**2 - 104*x = 0.
-1, 0, 1, 104
Factor 4*b**4 - 316*b**3 + 620*b**2 - 308*b.
4*b*(b - 77)*(b - 1)**2
Factor -4*z**5 - 8*z**4 + 96*z**3 + 448*z**2 + 704*z + 384.
-4*(z - 6)*(z + 2)**4
Determine j so that -5*j**4 + 50*j**3 + 175*j**2 - 1500*j + 1980 = 0.
-6, 2, 3, 11
Suppose -9*n**4/4 - 177*n**3 - 1845*n**2/4 - 801*n/2 - 114 = 0. Calculate n.
-76, -1, -2/3
Determine n so that n**5/2 - 24*n**4 + 131*n**3/2 + 96*n**2 - 270*n = 0.
-2, 0, 2, 3, 45
Let -4*p**5 + 384*p**4 - 9568*p**3 + 15768*p**2 + 46436*p - 53016 = 0. What is p?
-2, 1, 3, 47
Factor -2*s**4 + 22*s**3 - 36*s**2.
-2*s**2*(s - 9)*(s - 2)
Determine c, given that -2*c**5/5 - 4*c**4/5 + 2*c**3/5 + 4*c**2/5 = 0.
-2, -1, 0, 1
Factor 3*j**3/4 + 15*j**2/4 + 21*j/4 + 9/4.
3*(j + 1)**2*(j + 3)/4
Factor -c**3 + 14*c**2 - 32*c - 128.
-(c - 8)**2*(c + 2)
Factor -x**2/4 + 11*x/4 - 7.
-(x - 7)*(x - 4)/4
Determine a, given that 4*a**4 + 3872*a**3 + 929248*a**2 - 3763584*a + 3779136 = 0.
-486, 2
Factor 3*s**5 - 42*s**4 - 93*s**3 - 48*s**2.
3*s**2*(s - 16)*(s + 1)**2
Suppose 6*n**5/7 + 30*n**4/7 - 90*n**3/7 - 30*n**2/7 + 12*n = 0. Calculate n.
-7, -1, 0, 1, 2
Factor 12*g**2 + 3008*g + 2000.
4*(g + 250)*(3*g + 2)
Find r, given that -r**3/4 - 1401*r**2/4 - 2799*r/4 - 1399/4 = 0.
-1399, -1
Solve f**2/2 + 334*f + 55778 = 0 for f.
-334
Factor -4*p**3 - 6*p**2 + 40*p.
-2*p*(p + 4)*(2*p - 5)
Suppose 3*f**2 - 282*f + 6627 = 0. What is f?
47
Factor 4*b**2 + 12*b - 952.
4*(b - 14)*(b + 17)
Factor 5*a**2 + 95*a + 450.
5*(a + 9)*(a + 10)
Factor 3*o**3/5 + 489*o**2/5 + 16368*o/5 - 302016/5.
3*(o - 13)*(o + 88)**2/5
Find v, given that -v**2/4 - v/2 + 3/4 = 0.
-3, 1
Suppose -6*c**4/7 - 60*c**3/7 + 618*c**2/7 - 1560*c/7 + 1224/7 = 0. What is c?
-17, 2, 3
Factor -2*i**4 - 6*i**3/7 + 8*i**2/7.
-2*i**2*(i + 1)*(7*i - 4)/7
Factor 2*o**3/5 - 6516*o**2/5 + 7076376*o/5 - 2561648112/5.
2*(o - 1086)**3/5
Find h, given that 5*h**5/4 - 20*h**4 + 225*h**3/2 - 270*h**2 + 945*h/4 = 0.
0, 3, 7
Factor -5*s**2/2 + 20*s - 30.
-5*(s - 6)*(s - 2)/2
Factor -452*o**3 - 1792*o**2 - 1744*o + 64.
-4*(o + 2)**2*(113*o - 4)
Factor -3*k**4 + 27*k**3 - 90*k**2 + 132*k - 72.
-3*(k - 3)*(k - 2)**3
What is b in -b**2/3 + 272*b/3 - 18496/3 = 0?
136
What is t in 4*t**5 + 552*t**4 + 1084*t**3 - 552*t**2 - 1088*t = 0?
-136, -2, -1, 0, 1
Let 3*a**2 - 96*a = 0. Calculate a.
0, 32
Factor 4*i**4/5 + 36*i**3/5 + 16*i**2 + 48*i/5.
4*i*(i + 1)*(i + 2)*(i + 6)/5
Factor -3*l**2 + 41508*l - 143576172.
-3*(l - 6918)**2
Factor -2*z**5 + 70*z**4 - 132*z**3 - 4*z**2 + 134*z - 66.
-2*(z - 33)*(z - 1)**3*(z + 1)
Solve f**3/3 + 29*f**2/3 - 43*f + 33 = 0.
-33, 1, 3
Let -6*v**2/5 + 374*v/5 + 252/5 = 0. Calculate v.
-2/3, 63
Suppose n**5/2 - 3*n**4/2 - 11*n**3/2 + 27*n**2/2 + 5*n - 12 = 0. What is n?
-3, -1, 1, 2, 4
Determine s so that 3*s**4/7 - 54*s**3/7 + 45*s**2 - 84*s = 0.
0, 4, 7
Find l such that -4*l**5 - 16*l**4 - 16*l**3 = 0.
-2, 0
Factor o**3/4 - o**2 - 24*o.
o*(o - 12)*(o + 8)/4
Determine l so that -4*l**4 + 12*l**3 - 16*l = 0.
-1, 0, 2
Factor -3*v**2/5 + 306*v/5 - 7803/5.
-3*(v - 51)**2/5
Find m such that 5*m**5/3 - 25*m**4/3 + 5*m**3 + 85*m**2/3 - 140*m/3 + 20 = 0.
-2, 1, 2, 3
Solve 2*m**2 - 132*m - 414 = 0 for m.
-3, 69
Suppose -2*j**2/13 + 236*j/13 - 6962/13 = 0. What is j?
59
What is y in -2*y**5/3 - 8*y**4/3 - 2*y**3 = 0?
-3, -1, 0
Let 25*u**5 - 95*u**4 - 1179*u**3/4 - 206*u**2 - 131*u/4 - 3/2 = 0. What is u?
-1, -1/10, 6
Factor -22*m**2 + 378*m.
-2*m*(11*m - 189)
Solve 3*j**4 + 87*j**3 + 855*j**2 + 3201*j + 3630 = 0 for j.
-11, -5, -2
Determine x so that -8*x**5/5 - 214*x**4 - 47252*x**3/5 - 133704*x**2 + 179820*x - 36450 = 0.
-45, 1/4, 1
Factor 5*r**2 + 1035*r - 1040.
5*(r - 1)*(r + 208)
Solve -2*c**4/3 + 20*c**3 - 506*c**2/3 + 280*c - 392/3 = 0 for c.
1, 14
Suppose f**5 - 5*f**4 - 3*f**3 + 17*f**2 - 10*f = 0. What is f?
-2, 0, 1, 5
Factor 2*z**3/3 - 1166*z**2/3 + 4640*z/3 - 1544.
2*(z - 579)*(z - 2)**2/3
Let -3*p**4/4 - 57*p**3/4 + 123*p**2/4 - 63*p/4 = 0. Calculate p.
-21, 0, 1
Factor -11*p**3 + 145*p**2 - 268*p + 44.
-(p - 11)*(p - 2)*(11*p - 2)
Suppose -5*x**2 + 53*x - 30 = 0. Calculate x.
3/5, 10
Factor -t**4/3 - 18*t**3 - 52*t**2 - 154*t/3 - 17.
-(t + 1)**3*(t + 51)/3
Suppose -32*a**4/3 + 176*a*