 - 23*i**3 + 4*i**2 + 8*i + 3/2 = 0. Calculate i.
-1, -1/3, -3/10, 1
Find q, given that 3*q**4/8 + q**3 - 3*q**2/4 - q + 3/8 = 0.
-3, -1, 1/3, 1
Factor 5*p**2/4 - 303*p/4 - 61/2.
(p - 61)*(5*p + 2)/4
Factor -k**4/3 + 650*k**3/3 + k**2/3 - 650*k/3.
-k*(k - 650)*(k - 1)*(k + 1)/3
Factor z**2/7 - 61*z/7 + 690/7.
(z - 46)*(z - 15)/7
Suppose 99*u**5/4 + 75*u**4/2 + 57*u**3/4 + 3*u**2/2 = 0. Calculate u.
-1, -1/3, -2/11, 0
Factor 2*q**2/19 - 18*q/19.
2*q*(q - 9)/19
Determine x, given that 6*x**3/5 - 4674*x**2/5 + 4632*x/5 + 28008/5 = 0.
-2, 3, 778
Suppose -3*d**3/7 + 6*d**2/7 + 12*d/7 - 24/7 = 0. What is d?
-2, 2
Find c such that 5*c**4 + 1585*c**3 - 5*c**2 - 1585*c = 0.
-317, -1, 0, 1
Let -4*u**5 - 8*u**4 + 4*u**3 + 8*u**2 = 0. What is u?
-2, -1, 0, 1
Solve -5*o**4 + 95*o**2 - 150*o = 0 for o.
-5, 0, 2, 3
Let 2*q**2/7 + 1744*q/7 = 0. What is q?
-872, 0
What is p in 2*p**5 - 43*p**4/2 + 121*p**3/2 + 13*p**2/2 - 205*p/2 - 25 = 0?
-1, -1/4, 2, 5
Factor 12*m**2 + 237*m/4 - 15/4.
3*(m + 5)*(16*m - 1)/4
Suppose 10*h**5 - 755*h**4 + 16755*h**3 - 93190*h**2 + 111860*h - 34680 = 0. Calculate h.
1/2, 1, 6, 34
What is q in -100*q**5 + 2580*q**4 - 10816*q**3 + 15840*q**2 - 8128*q + 1344 = 0?
2/5, 2, 21
Solve -2*f**4/9 + 2*f**3/3 - 2*f**2/3 + 2*f/9 = 0.
0, 1
Let 4*r**3 - 152*r**2 + 140*r + 296 = 0. What is r?
-1, 2, 37
Find k such that 5*k**5 - 65*k**4 + 275*k**3 - 515*k**2 + 440*k - 140 = 0.
1, 2, 7
Determine i so that 15*i**5 - 1600*i**4 - 21625*i**3/3 - 800*i**2 + 19900*i/3 + 2960 = 0.
-4, -2/3, 1, 111
Factor 6*f**3/5 - 22*f**2/5 + 16*f/5.
2*f*(f - 1)*(3*f - 8)/5
Solve 20*c**5 + 45*c**4 + 30*c**3 + 5*c**2 = 0 for c.
-1, -1/4, 0
Suppose s**3/10 + 3*s**2/10 - 19*s + 408/5 = 0. Calculate s.
-17, 6, 8
Factor -x**4/4 - 7*x**3/4 - 11*x**2/4 - 5*x/4.
-x*(x + 1)**2*(x + 5)/4
Factor 2*r**3/11 + 156*r**2/11 + 14*r.
2*r*(r + 1)*(r + 77)/11
Determine g, given that 2*g**3 - 26*g**2 - 2*g + 26 = 0.
-1, 1, 13
Find o such that 3*o**2 + 111*o + 396 = 0.
-33, -4
Solve 2*m**3/7 - 16*m**2 + 224*m = 0 for m.
0, 28
Factor 4*h**2 + 12*h.
4*h*(h + 3)
Suppose -4*n**4 + 24*n**3 - 28*n**2 - 24*n + 32 = 0. Calculate n.
-1, 1, 2, 4
Factor -5*z**3 + 75*z**2 + 360*z + 380.
-5*(z - 19)*(z + 2)**2
Factor f**3 + 24*f**2 - 25*f.
f*(f - 1)*(f + 25)
Solve -4*x**3 - 8*x**2 + 20*x + 24 = 0 for x.
-3, -1, 2
Find x, given that 3*x**3 - 27*x**2 + 54*x = 0.
0, 3, 6
Let s**4 - 7*s**3 - 27*s**2 - 29*s - 10 = 0. Calculate s.
-1, 10
Factor x**3/5 - 68*x**2/5 + 197*x/5 - 26.
(x - 65)*(x - 2)*(x - 1)/5
Suppose 3*g**4/2 + 831*g**3 + 4950*g**2 + 9876*g + 6576 = 0. Calculate g.
-548, -2
Determine x, given that -x**2/4 + 13*x/4 - 3 = 0.
1, 12
Suppose 4*l**4 + 408*l**3 - 4*l**2 - 408*l = 0. Calculate l.
-102, -1, 0, 1
What is r in 2*r**5 - 29*r**4 + 111*r**3 - 35*r**2 - 49*r = 0?
-1/2, 0, 1, 7
Let 25*w**5 + 1135*w**4 - 700*w**3 - 460*w**2 = 0. Calculate w.
-46, -2/5, 0, 1
Factor -15*n**3 + 185*n**2 - 540*n + 160.
-5*(n - 8)*(n - 4)*(3*n - 1)
Factor -25*w**4 - 35*w**3 + 40*w**2 + 20*w.
-5*w*(w - 1)*(w + 2)*(5*w + 2)
Suppose i**4/3 + 40*i**3/3 + 118*i**2 - 336*i - 441 = 0. Calculate i.
-21, -1, 3
Factor -2*z**2 - 1978*z - 1976.
-2*(z + 1)*(z + 988)
Determine q, given that 7*q**4/6 + 11*q**3/2 + 13*q**2/2 + 7*q/6 - 1 = 0.
-3, -1, 2/7
Solve -2*u**4/3 - 20*u**3/3 - 64*u**2/3 - 64*u/3 = 0 for u.
-4, -2, 0
Suppose -a**2/2 - 13*a/2 + 34 = 0. What is a?
-17, 4
Factor -2*p**2/3 - 4*p/3 + 2.
-2*(p - 1)*(p + 3)/3
Factor 4*m**3 + 64*m**2 - 68*m.
4*m*(m - 1)*(m + 17)
Factor -g**5 + 2*g**4 + 11*g**3 - 12*g**2 - 36*g.
-g*(g - 3)**2*(g + 2)**2
Factor -3*n**4/4 + 18*n**2 + 48*n + 36.
-3*(n - 6)*(n + 2)**3/4
Factor 5*f**3/4 + 5*f**2/2 - 195*f/4 + 90.
5*(f - 3)**2*(f + 8)/4
Factor 5*p**2/6 - 5*p/6 - 5/3.
5*(p - 2)*(p + 1)/6
Let 4*b**2 + 100*b - 104 = 0. Calculate b.
-26, 1
Factor u**3 - 49*u**2 - 101*u - 51.
(u - 51)*(u + 1)**2
Let 5*c**5 - 105*c**4 + 475*c**3 - 255*c**2 - 1980*c + 2700 = 0. Calculate c.
-2, 2, 3, 15
Factor 2*r**2 - 46*r + 44.
2*(r - 22)*(r - 1)
Factor -2*j**2/7 + 122*j/7 - 120/7.
-2*(j - 60)*(j - 1)/7
Factor 2*a**3/13 - 14*a**2/13 + 28*a/13 - 16/13.
2*(a - 4)*(a - 2)*(a - 1)/13
Determine m so that 2*m**3 + 28*m**2 + 128*m + 192 = 0.
-6, -4
Factor 4*z**5/7 - 32*z**4/7 + 48*z**3/7 + 8*z**2/7 - 52*z/7 + 24/7.
4*(z - 6)*(z - 1)**3*(z + 1)/7
Determine x, given that -x**2/2 + 207*x = 0.
0, 414
Determine c so that -8*c**4 + 244*c**3 - 536*c**2 - 708*c + 1008 = 0.
-3/2, 1, 3, 28
Factor 10*i**4 + 52*i**3 + 88*i**2 + 48*i.
2*i*(i + 2)**2*(5*i + 6)
Let h**2 - 192*h = 0. Calculate h.
0, 192
Factor 4*d**2 - 12*d - 280.
4*(d - 10)*(d + 7)
Find k, given that -15*k**5 - 125*k**4 + 135*k**3 + 405*k**2 - 20*k - 180 = 0.
-9, -1, 2/3, 2
Factor 2*a**4 - 44*a**3 + 232*a**2 - 340*a + 150.
2*(a - 15)*(a - 5)*(a - 1)**2
Find c, given that -2*c**4 - 8*c**3 = 0.
-4, 0
Suppose h**2 + 22*h - 23 = 0. What is h?
-23, 1
Solve -2*o**4/11 - 40*o**3/11 - 34*o**2/11 + 76*o/11 = 0 for o.
-19, -2, 0, 1
Factor -5*r**2 + 165*r - 160.
-5*(r - 32)*(r - 1)
Factor -2*w**3/7 + 10*w**2/7 + 16*w/7 - 24/7.
-2*(w - 6)*(w - 1)*(w + 2)/7
Factor -9*g**3 - 75*g**2 - 168*g - 48.
-3*(g + 4)**2*(3*g + 1)
Let 5*d**5 + 20*d**4 - 65*d**3 - 20*d**2 + 60*d = 0. What is d?
-6, -1, 0, 1, 2
Solve -2*p**2/11 - 74*p/11 - 204/11 = 0 for p.
-34, -3
What is n in 2*n**3/13 - 38*n**2/13 + 224*n/13 - 384/13 = 0?
3, 8
Suppose 3*s**2/7 - 927*s/7 - 930/7 = 0. Calculate s.
-1, 310
Determine t so that 2*t**2 + 27*t + 70 = 0.
-10, -7/2
What is t in -5*t**2 + 1010*t - 1005 = 0?
1, 201
Determine o, given that -21*o**5 - 99*o**4 + 51*o**3 + 99*o**2 - 30*o = 0.
-5, -1, 0, 2/7, 1
Determine f so that 12*f**4 - 560*f**3 + 2432*f**2 - 3392*f + 1344 = 0.
2/3, 2, 42
Factor d**2/5 - 874*d.
d*(d - 4370)/5
What is i in -i**3 - 3*i**2 - 2*i = 0?
-2, -1, 0
What is m in -120*m**4 + 1445*m**3/2 - 1455*m**2 + 990*m - 20 = 0?
1/48, 2
Factor h**5/3 + h**4 - h**3/3 - h**2.
h**2*(h - 1)*(h + 1)*(h + 3)/3
Factor -2*o**2/7 - 104*o/7 - 1352/7.
-2*(o + 26)**2/7
Let -10*t**5/3 + 16*t**4/3 + 26*t**3 - 172*t**2/3 + 40*t/3 + 16 = 0. Calculate t.
-3, -2/5, 1, 2
Suppose 5*t**4 + 130*t**3 + 825*t**2 - 520*t - 3380 = 0. Calculate t.
-13, -2, 2
Factor -z**3/8 + z**2/4 + 21*z/8 + 9/4.
-(z - 6)*(z + 1)*(z + 3)/8
Find z, given that 5*z**4/2 - 410*z**3 + 31935*z**2/2 + 69300*z + 52920 = 0.
-3, -1, 84
Factor 4*u**2/5 - 104*u/5 + 192/5.
4*(u - 24)*(u - 2)/5
Let 2*r**4/9 + 92*r**3/9 + 1058*r**2/9 = 0. Calculate r.
-23, 0
Factor -3*b**3 + 6*b**2 + 12*b - 24.
-3*(b - 2)**2*(b + 2)
Factor -2*r**5 - 20*r**4 - 78*r**3 - 148*r**2 - 136*r - 48.
-2*(r + 1)*(r + 2)**3*(r + 3)
Determine u so that 3*u**3/2 - 483*u**2/2 + 957*u/2 - 477/2 = 0.
1, 159
Solve -3249*p**5/2 + 3306*p**4 - 1739*p**3 + 58*p**2 - p/2 = 0.
0, 1/57, 1
Factor -3*a**4 - 15*a**3 + 162*a**2 - 372*a + 264.
-3*(a - 2)**3*(a + 11)
Factor -m**3 + 40*m**2 - 268*m + 384.
-(m - 32)*(m - 6)*(m - 2)
Find d such that -2*d**5/5 - 4*d**4 + 8*d**3/5 + 308*d**2/5 - 294*d/5 = 0.
-7, 0, 1, 3
Factor 4*r**5 - 32*r**4 + 88*r**3 - 112*r**2 + 68*r - 16.
4*(r - 4)*(r - 1)**4
Factor -15*x**2 - 1439*x + 96.
-(x + 96)*(15*x - 1)
Factor r**2 - 118*r + 3481.
(r - 59)**2
Factor -16*a**3/7 - 150*a**2/7 - 26*a - 48/7.
-2*(a + 1)*(a + 8)*(8*a + 3)/7
Factor -3*n**2/5 + 21*n/5 + 24/5.
-3*(n - 8)*(n + 1)/5
Suppose q**2/4 + 41*q/4 + 57/2 = 0. Calculate q.
-38, -3
Find y, given that -3*y**4 + 105*y**3 + 582*y**2 + 720*y = 0.
-3, -2, 0, 40
Find z, given that 15*z**4 - 200*z**3 - 625*z**2 - 250*z + 160 = 0.
-2, -1, 1/3, 16
Factor -6*k**2 - 3*k + 18.
-3*(k + 2)*(2*k - 3)
Factor -2*f**3/13 + 114*f**2/13 - 1152*f/13 + 3240/13.
-2*(f - 45)*(f - 6)**2/13
What is m in 31*m**2 + 15*m - 16 = 0?
-1, 16/31
Let w**3 - w**2/3 - 8*w/3 - 4/3 = 0. What is w?
-1, -2/3, 2
Factor -l**5/3 + 2*l**4 - 4*l**3 + 8*l**2/3.
-l**2*(l - 2)**3/3
Suppose -4*q**2 - 668*q + 672 = 0. Calculate q.
-168, 1
Find s such that -2*s**3/13 - 10*s**2/13 + 4*s/13 + 48/13 = 0.
-4, -3, 2
Determine d so that 2*d**2 - 12*d + 18 = 0.
3
Suppose -s**5/3 - 35*s**4 - 3566*s**3/3 - 48926*s**2/3 - 72539*s + 270215/3 = 0. Calculate s.
-55, -17, 1
What is y in -y**2/2 + 51*y - 2601/2 = 0?
51
What is p in p**5/6 - 12*p**4 + 98*p**3 - 671*p**2/3 + 401*p/2 - 63 = 0?
1, 6, 63
Factor -15*b**3/4 + 112*b**2 - 3315*b/4 - 225/2.
-(b - 15)**2*(15*b + 2)/4
Factor -3*a**4 