?
-84, -3
Determine q so that 38*q**2/3 + 34*q/3 - 4/3 = 0.
-1, 2/19
Solve 3*z**2 - 63*z + 294 = 0.
7, 14
Factor -v**4/2 + 4*v**3 + 113*v**2/2 - 60*v.
-v*(v - 15)*(v - 1)*(v + 8)/2
Factor 4*g**2 - 960*g + 57600.
4*(g - 120)**2
Factor 4*m**3/3 - 88*m**2/3 - 4*m/3 + 88/3.
4*(m - 22)*(m - 1)*(m + 1)/3
Solve 3*j**5 - 114*j**4 + 675*j**3 + 8052*j**2 + 7260*j = 0.
-5, -1, 0, 22
Solve 2*u**2/7 + 2*u/7 - 4/7 = 0 for u.
-2, 1
Factor -1452*k**2 + 132*k - 3.
-3*(22*k - 1)**2
Let -4*z**3 + 28*z**2 - 40*z = 0. What is z?
0, 2, 5
Solve 4*p**3 + 12*p**2 - 4*p - 12 = 0.
-3, -1, 1
Factor 5*i**3 - 30*i**2 - 75*i - 40.
5*(i - 8)*(i + 1)**2
Find m such that -4*m**5 - 8*m**4 + 52*m**3 + 56*m**2 - 96*m = 0.
-4, -2, 0, 1, 3
Let -5*q**5 + 35*q**4 - 45*q**3 - 35*q**2 + 50*q = 0. What is q?
-1, 0, 1, 2, 5
Suppose 8*a**4/3 - 146*a**3/3 + 172*a**2/3 - 34*a/3 = 0. What is a?
0, 1/4, 1, 17
Factor -2*z**2/11 + 1082*z/11 + 1084/11.
-2*(z - 542)*(z + 1)/11
Let 4*y**2 - 712*y = 0. Calculate y.
0, 178
Factor 2*n**3/5 + 24*n**2/5 - 98*n/5 - 24.
2*(n - 4)*(n + 1)*(n + 15)/5
Solve 3*n**4/2 - 2157*n**3 + 775440*n**2 + 2157*n - 1550883/2 = 0 for n.
-1, 1, 719
Factor -5*w**4 - 220*w**3 - 2420*w**2.
-5*w**2*(w + 22)**2
Solve 27*q**4/4 - 42*q**3 + 171*q**2/4 - 15*q/2 = 0.
0, 2/9, 1, 5
Solve y**2/8 + 42*y + 3528 = 0.
-168
Factor -v**2 - 3*v + 40.
-(v - 5)*(v + 8)
Factor 3*h**3/5 + 294*h**2/5 - 297*h/5.
3*h*(h - 1)*(h + 99)/5
Factor 3*o**3 + 2*o**2 + o/3.
o*(3*o + 1)**2/3
Solve -2*k**5/13 - 14*k**4/13 + 2*k**3/13 + 14*k**2/13 = 0 for k.
-7, -1, 0, 1
Solve -2156*b**5 - 6916*b**4 + 7552*b**3 + 2672*b**2 - 896*b - 256 = 0 for b.
-4, -2/7, 4/11, 1
Determine r so that r**4 + 3*r**3 - 10*r**2 - 24*r = 0.
-4, -2, 0, 3
Solve -112*m**5 + 676*m**4 - 584*m**3 - 2668*m**2 + 4128*m - 144 = 0 for m.
-2, 1/28, 2, 3
Factor 5*s**3 - 5535*s**2 - 33345*s - 50085.
5*(s - 1113)*(s + 3)**2
Determine l so that -10*l**4/7 + 36*l**3/7 + 42*l**2 + 440*l/7 + 192/7 = 0.
-12/5, -1, 8
Find b such that 4*b**2 + 492*b + 488 = 0.
-122, -1
Factor 4*j**3/9 + 28*j**2/9 - 4*j/9 - 28/9.
4*(j - 1)*(j + 1)*(j + 7)/9
Factor -5*r**3/3 - 20*r**2 - 145*r/3 - 30.
-5*(r + 1)*(r + 2)*(r + 9)/3
Factor -12*j**3 - 663*j**2 + 1896*j - 1044.
-3*(j - 2)*(j + 58)*(4*j - 3)
Factor 3*t**2 - 9*t - 162.
3*(t - 9)*(t + 6)
Factor -36*k**3 + 5624*k**2 + 4404*k - 1256.
-4*(k - 157)*(k + 1)*(9*k - 2)
Factor -5*i**5 - 25*i**4 + 25*i**3 + 125*i**2 - 200*i + 80.
-5*(i - 1)**3*(i + 4)**2
Suppose 3*i**3/2 - 63*i**2/2 + 165*i = 0. What is i?
0, 10, 11
Find d, given that 4*d**3 + 732*d**2 + 4248*d = 0.
-177, -6, 0
Factor y**2/7 - 4006*y/7 + 4012009/7.
(y - 2003)**2/7
Factor 10*f**3 - 115*f**2 + 330*f - 225.
5*(f - 3)*(f - 1)*(2*f - 15)
Let -250*b**4/13 - 6950*b**3/13 + 660*b**2 - 3464*b/13 + 464/13 = 0. Calculate b.
-29, 2/5
Solve a**4/2 + 69*a**3/8 - 135*a**2/8 - 19*a/4 = 0 for a.
-19, -1/4, 0, 2
Find a, given that -2*a**4/3 + 10*a**3/3 - 6*a**2 + 14*a/3 - 4/3 = 0.
1, 2
What is s in -338*s**4/7 - 104*s**3/7 + 330*s**2/7 + 104*s/7 + 8/7 = 0?
-1, -2/13, 1
Solve 4*h**3 - 1108*h**2 + 4380*h - 3276 = 0.
1, 3, 273
Find m, given that -3*m**5/2 - 9*m**4 - 18*m**3 - 15*m**2 - 9*m/2 = 0.
-3, -1, 0
Factor 142*t**2 + 434*t/3 + 8/3.
2*(t + 1)*(213*t + 4)/3
Let 8*n**3 + 1670*n**2/9 + 314*n/9 - 184/9 = 0. What is n?
-23, -4/9, 1/4
Factor 5*k**2 + 20*k + 15.
5*(k + 1)*(k + 3)
Factor -5*z**4 - 700*z**3 + 5*z**2 + 700*z.
-5*z*(z - 1)*(z + 1)*(z + 140)
Factor r**5/3 - 17*r**4/3 + 106*r**3/3 - 290*r**2/3 + 325*r/3 - 125/3.
(r - 5)**3*(r - 1)**2/3
Determine x so that 19*x**4 - 51*x**3 - 18*x**2 + 76*x + 24 = 0.
-1, -6/19, 2
Factor -3*r**4 - 9*r**3 + 27*r**2 - 15*r.
-3*r*(r - 1)**2*(r + 5)
Factor p**4/3 + 2*p**3/3 + p**2/3.
p**2*(p + 1)**2/3
Solve 2*y**5/7 + 22*y**4/7 + 30*y**3/7 - 10*y**2 - 152*y/7 - 72/7 = 0.
-9, -2, -1, 2
Factor -172*v**2/3 + 8*v/3.
-4*v*(43*v - 2)/3
Solve -2*u**5 + 4*u**4 + 24*u**3 - 16*u**2 - 64*u = 0 for u.
-2, 0, 2, 4
Factor 8*m**4 + 36*m**3 + 12*m**2 - 16*m.
4*m*(m + 1)*(m + 4)*(2*m - 1)
Solve -g**5/2 + 17*g**4/2 - 31*g**3/2 + 15*g**2/2 = 0.
0, 1, 15
Let 5*y**5 - 33420*y**4 + 83767230*y**3 - 93316694220*y**2 + 38983049010405*y = 0. What is y?
0, 1671
Let z**5/11 + 21*z**4/11 + 167*z**3/11 + 639*z**2/11 + 108*z + 864/11 = 0. What is z?
-8, -4, -3
What is n in 3*n**3/7 + 13*n**2/7 + 4*n/7 = 0?
-4, -1/3, 0
Determine h, given that 4*h**2/7 + 32*h/7 - 36/7 = 0.
-9, 1
Factor -118*w**2/3 - 434*w - 44/3.
-2*(w + 11)*(59*w + 2)/3
Factor 5*q**4 - 355*q**3.
5*q**3*(q - 71)
Factor 3*o**2 + 318*o + 8427.
3*(o + 53)**2
Determine t so that 11*t**4/3 - 7*t**3/3 - 16*t**2 + 28*t/3 + 16/3 = 0.
-2, -4/11, 1, 2
Determine p so that 102675*p**4/4 + 531135*p**3 + 2718687*p**2 - 298584*p + 8112 = 0.
-52/5, 2/37
Factor d**3/5 + 4*d**2/5 - 4*d/5 - 16/5.
(d - 2)*(d + 2)*(d + 4)/5
Factor j**5 - 24*j**4 - 85*j**3 + 108*j**2.
j**2*(j - 27)*(j - 1)*(j + 4)
Solve -25335005*q**2 + 45020*q - 20 = 0.
2/2251
Find u, given that 90*u**5/7 - 102*u**4/7 - 44*u**3/7 + 36*u**2/7 + 18*u/7 + 2/7 = 0.
-1/3, -1/5, 1
Factor -3*t**3 - 1158*t**2 - 110580*t + 225816.
-3*(t - 2)*(t + 194)**2
Solve 4*c**4 + 32*c**3 - 124*c**2 + 88*c = 0.
-11, 0, 1, 2
Suppose 4*b**2 + 13040*b + 10627600 = 0. Calculate b.
-1630
Factor 2*i**4 - 142*i**3 + 1604*i**2 - 5640*i + 4176.
2*(i - 58)*(i - 6)**2*(i - 1)
Let -6*j**3 + 12388*j**2/13 - 10120*j/13 + 1264/13 = 0. Calculate j.
2/13, 2/3, 158
Let -16*j**5 - 17*j**4 - j**3 = 0. What is j?
-1, -1/16, 0
Find b, given that -12*b**5 - 22*b**4 - 8*b**3 + 2*b**2 = 0.
-1, 0, 1/6
Suppose 4*m**2/3 - 5192*m/3 - 1732 = 0. What is m?
-1, 1299
Find h such that h**2/6 - 3*h/2 - 5/3 = 0.
-1, 10
Factor -13*n**3/5 - 63*n**2/5 - 68*n/5 + 12/5.
-(n + 2)*(n + 3)*(13*n - 2)/5
Find k such that -4*k**2 + 28*k - 40 = 0.
2, 5
Factor 6*m**3/5 + 22602*m**2/5 + 4259346*m + 21274134/5.
6*(m + 1)*(m + 1883)**2/5
Find d such that 7*d**4/4 - 11*d**3 + 75*d**2/4 - 23*d/2 + 2 = 0.
2/7, 1, 4
Factor -y**2/4 - 3*y/4 - 1/2.
-(y + 1)*(y + 2)/4
Factor 2*t**2/5 - 32*t/5 + 6.
2*(t - 15)*(t - 1)/5
Factor -3*o**2 + 126*o + 264.
-3*(o - 44)*(o + 2)
Solve 5*w**2 - 185*w - 190 = 0 for w.
-1, 38
Find w such that 3*w**2/5 - 249*w/5 - 1602/5 = 0.
-6, 89
Factor u**3/3 + 2*u**2/3 - u/3 - 2/3.
(u - 1)*(u + 1)*(u + 2)/3
Find y, given that 5*y**3 + 3690*y**2 + 680805*y = 0.
-369, 0
Solve 2*w**5/3 + 52*w**4/9 + 26*w**3/9 - 52*w**2/9 - 32*w/9 = 0 for w.
-8, -1, -2/3, 0, 1
Solve k**4/4 + 111*k**3/4 - 28*k**2 = 0.
-112, 0, 1
Solve -k**5 + 22*k**4 - 5*k**3 - 1216*k**2 - 4020*k - 3600 = 0 for k.
-4, -2, 15
What is p in -5*p**3 + 10*p**2 + 40*p = 0?
-2, 0, 4
Solve -u**2/5 + 117*u/5 - 154 = 0.
7, 110
Factor -t**2/3 + 25*t - 74/3.
-(t - 74)*(t - 1)/3
Suppose 5*h**5 - 315*h**4 + 4650*h**3 - 28750*h**2 + 80625*h - 84375 = 0. What is h?
3, 5, 45
Let -g**5 + 55*g**4 + 417*g**3 + 1037*g**2 + 1048*g + 372 = 0. Calculate g.
-3, -2, -1, 62
Find h, given that 2*h**4 + 18*h**3 + 40*h**2 = 0.
-5, -4, 0
Solve -4*j**5 - 20*j**4 + 36*j**3 + 324*j**2 + 432*j = 0 for j.
-3, 0, 4
Factor -r**4/6 - 2*r**3 - 17*r**2/2 - 46*r/3 - 10.
-(r + 2)**2*(r + 3)*(r + 5)/6
Let 5*g**3 + 20*g**2 + 15*g = 0. What is g?
-3, -1, 0
Factor 2*w**2/5 + 666*w/5 - 668/5.
2*(w - 1)*(w + 334)/5
Find q such that -4*q**4/9 + 72*q**3 - 628*q**2/9 - 288*q + 2576/9 = 0.
-2, 1, 2, 161
Suppose -3*n**2 + 16380*n - 22358700 = 0. Calculate n.
2730
Determine i so that 53*i**2/5 - 2*i/5 = 0.
0, 2/53
Determine n, given that -5*n**2 - 850*n - 36125 = 0.
-85
Solve 9*n**5 + 2103*n**4 + 122494*n**3 - 42238*n**2 - 68679*n - 13689 = 0 for n.
-117, -1/3, 1
Determine n, given that -3*n**3 + 96*n**2 + 201*n + 102 = 0.
-1, 34
Factor -35*z**4 + 60*z**3 - 15*z**2 - 10*z.
-5*z*(z - 1)**2*(7*z + 2)
Suppose 4*y**3/3 - 19*y**2 + 22*y - 13/3 = 0. Calculate y.
1/4, 1, 13
Factor z**4/6 + 11*z**3/3 + 31*z**2/2 - 60*z - 72.
(z - 3)*(z + 1)*(z + 12)**2/6
Determine d so that -d**2 + 1834*d - 840889 = 0.
917
Factor -4*x**4 - 4*x**3 + 12*x**2 + 20*x + 8.
-4*(x - 2)*(x + 1)**3
Solve -5*o**5/2 + 7*o**4/2 + 183*o**3/2 + 101*o**2/2 - 35*o = 0.
-5, -1, 0, 2/5, 7
Determine c so that -3*c**5/5 + 9*c**4/5 + 69*c**3/5 - 81*c**2/5 - 66*c/5 + 72/5 = 0.
-4, -1, 1, 6
Factor -q**3/2 - 81*q**2/2 - 159*q/2 - 79/2.
-(q + 1)**2*(q + 79)/2
Factor 4*i**2 + 68*i - 152.
4*(i - 2)*(i + 19)
Determine p so that -2*p**5/15 + 22*p**3/5 +