0*s - 62/3.
2*(s - 31)*(s + 1)/3
Determine j, given that -12*j**5 - 2*j**4 + 88*j**3 + 86*j**2 - 16*j - 24 = 0.
-2, -1, -2/3, 1/2, 3
Solve i**4 - 63*i**3 + 746*i**2 - 3012*i + 3528 = 0 for i.
2, 6, 49
Let -s**4/4 + 7*s**3/2 - 45*s**2/4 - 27*s + 135 = 0. Calculate s.
-3, 5, 6
Find o, given that 5*o**5 - 60*o**4 - 15*o**3 + 1430*o**2 + 480*o - 5760 = 0.
-3, 2, 8
Suppose -28*r**4 - 328*r**3 - 660*r**2 + 1336*r - 320 = 0. Calculate r.
-8, -5, 2/7, 1
Determine m, given that -5*m**5 - 25*m**4 + 15*m**3 + 85*m**2 + 50*m = 0.
-5, -1, 0, 2
Solve -5*a**3 - 1810*a**2 - 161980*a + 331240 = 0.
-182, 2
Factor -2*x**2 + 208*x - 206.
-2*(x - 103)*(x - 1)
Suppose 5*j**5 - 33*j**4 + 16*j**3 + 12*j**2 = 0. What is j?
-2/5, 0, 1, 6
Suppose g**4/3 + 2645*g**3/3 = 0. Calculate g.
-2645, 0
Factor 4*m**4 - 4*m**3 - 12*m**2 + 20*m - 8.
4*(m - 1)**3*(m + 2)
Factor -10*t**5/17 + 6*t**4/17 + 4*t**3/17.
-2*t**3*(t - 1)*(5*t + 2)/17
Find d such that 3*d**4 + 39*d**3 - 87*d**2 + 45*d = 0.
-15, 0, 1
Determine w, given that -8*w**2 - 68*w + 36 = 0.
-9, 1/2
Factor -5*u**4 - 1190*u**3 - 69605*u**2 + 142800*u - 72000.
-5*(u - 1)**2*(u + 120)**2
Solve 5*m**5 - 125*m**4 + 795*m**3 - 675*m**2 = 0 for m.
0, 1, 9, 15
Factor 6*a**5 - a**4 - 72*a**3 + 108*a**2 - 16*a.
a*(a - 2)**2*(a + 4)*(6*a - 1)
Let -3*b**2/2 + 432*b - 861/2 = 0. What is b?
1, 287
Solve -2*r**3/9 - 46*r**2/9 - 320*r/9 - 200/3 = 0.
-10, -3
Factor -20*h**4 + 15*h**3 + 50*h**2.
-5*h**2*(h - 2)*(4*h + 5)
Factor 32*m**4/5 - 112*m**3/5 + 146*m**2/5 - 84*m/5 + 18/5.
2*(m - 1)**2*(4*m - 3)**2/5
Factor -2*a**2/9 - 548*a/9 - 37538/9.
-2*(a + 137)**2/9
Let -3*o**3 + 165*o**2 + 669*o/4 + 42 = 0. What is o?
-1/2, 56
Determine t so that -4*t**2 + 4*t + 224 = 0.
-7, 8
What is y in -2*y**5 + 22*y**4 - 14*y**3 - 222*y**2 + 216*y = 0?
-3, 0, 1, 4, 9
Factor u**5/8 + 9*u**4/8 + 7*u**3/4 - u**2/4 - 15*u/8 - 7/8.
(u - 1)*(u + 1)**3*(u + 7)/8
Determine d so that -d**4/4 + d**2/2 - 1/4 = 0.
-1, 1
Find w, given that 3*w**3 - 24*w**2 + 21*w = 0.
0, 1, 7
Factor 28*o**3 - 232*o**2 + 64*o.
4*o*(o - 8)*(7*o - 2)
Suppose -15*o**5/7 + 96*o**4/7 + 729*o**3/7 + 354*o**2/7 - 264*o/7 = 0. What is o?
-4, -1, 0, 2/5, 11
Solve -4*k**3/3 + 4*k**2 = 0.
0, 3
Find m such that -3*m**4 + 30*m**3 - 33*m**2 - 138*m + 144 = 0.
-2, 1, 3, 8
What is q in -30*q**4 + 20222*q**3 - 41704*q**2 + 26888*q - 5376 = 0?
2/5, 2/3, 1, 672
Solve -3*h**2 - 4326*h - 1559523 = 0 for h.
-721
Suppose h**5/4 + h**4/2 - 35*h**3/4 + 23*h**2 - 23*h + 8 = 0. Calculate h.
-8, 1, 2
What is s in -4*s**5 + 9*s**4 - 6*s**3 + s**2 = 0?
0, 1/4, 1
Suppose 4*x**4 - 24*x**3 + 32*x**2 + 24*x - 36 = 0. What is x?
-1, 1, 3
Factor -16*j**5 - 64*j**4 - 100*j**3 - 76*j**2 - 28*j - 4.
-4*(j + 1)**3*(2*j + 1)**2
Find x, given that x**2 - 9*x - 22 = 0.
-2, 11
Factor 2*a**3 + 14*a**2 - 72.
2*(a - 2)*(a + 3)*(a + 6)
Factor 2*r**4/7 + 2*r**3 - 8*r**2/7 - 32*r - 384/7.
2*(r - 4)*(r + 3)*(r + 4)**2/7
Factor 10*o**3 + 18*o**2 + 6*o - 2.
2*(o + 1)**2*(5*o - 1)
Factor 4*b**4 - 16*b**3 + 12*b**2.
4*b**2*(b - 3)*(b - 1)
Determine u, given that -2*u**3 - 308*u**2/5 - 238*u/5 + 12 = 0.
-30, -1, 1/5
Find o such that -40*o**5 - 395*o**4 - 910*o**3 + 520*o**2 + 950*o - 125 = 0.
-5, -1, 1/8, 1
Factor 3*l**5 - 12*l**4 - 6*l**3 + 36*l**2 + 27*l.
3*l*(l - 3)**2*(l + 1)**2
What is m in -m**4 + 41*m**3 - 477*m**2 + 1159*m - 722 = 0?
1, 2, 19
Let -2*u**2 + 15944*u - 31776392 = 0. What is u?
3986
Factor 5*l**2 - 59780*l + 178682420.
5*(l - 5978)**2
Determine s, given that -7*s**4 + 310*s**3 + 549*s**2 + 140*s - 92 = 0.
-1, 2/7, 46
Suppose 8*d**5 - 74*d**4 - 70*d**3 + 94*d**2 + 62*d - 20 = 0. What is d?
-1, 1/4, 1, 10
Factor -z**3/5 - 101*z**2/5 - 2499*z/5 + 2601/5.
-(z - 1)*(z + 51)**2/5
Factor -3*x**4 - 42*x**3 + 492*x**2 + 1098*x + 567.
-3*(x - 9)*(x + 1)**2*(x + 21)
Solve -2*p**4 + 64*p**3 + 136*p**2 = 0 for p.
-2, 0, 34
Factor -2*y**4/7 - 18*y**3/7 + 96*y**2/7 - 104*y/7.
-2*y*(y - 2)**2*(y + 13)/7
Factor 69169*s**3/3 + 61805*s**2/3 - 7168*s/3 + 196/3.
(s + 1)*(263*s - 14)**2/3
Find z, given that -2*z**4/3 + 26*z**2/3 - 8*z = 0.
-4, 0, 1, 3
Factor -2*g**2/9 + 484*g/9 - 29282/9.
-2*(g - 121)**2/9
Factor -4*n**3 + 584*n**2 + 1788*n.
-4*n*(n - 149)*(n + 3)
Factor 15*r**3 + 355*r**2 + 560*r + 220.
5*(r + 1)*(r + 22)*(3*r + 2)
Solve -27*u**4 - 288*u**3 + 123*u**2 + 252*u - 132 = 0 for u.
-11, -1, 2/3
Find h, given that -2*h**5/11 - 62*h**4/11 + 70*h**3/11 + 182*h**2/11 - 316*h/11 + 128/11 = 0.
-32, -2, 1
Determine x, given that -6*x**2/5 + 4362*x/5 = 0.
0, 727
Factor -h**2/4 + 19*h/4 + 333/2.
-(h - 37)*(h + 18)/4
Factor -156*a**2 + 152*a + 4.
-4*(a - 1)*(39*a + 1)
Factor -3*s**2 + 3075*s.
-3*s*(s - 1025)
Suppose -q**3/3 + 11*q**2/6 - 17*q/6 + 1 = 0. What is q?
1/2, 2, 3
Factor x**3 + 56*x**2.
x**2*(x + 56)
Factor 2*v**4 + 372*v**3 + 17666*v**2 + 34224*v + 16928.
2*(v + 1)**2*(v + 92)**2
Suppose x**2 - 21*x = 0. Calculate x.
0, 21
Find r, given that -64*r**5 + 3552*r**4 + 1948*r**3 - 8804*r**2 + 3816*r - 448 = 0.
-2, 1/4, 1, 56
What is i in i**4 + 95*i**3 + 2202*i**2 - 2880*i - 13824 = 0?
-48, -2, 3
Let -6*k**5/5 + 9*k**4 - 63*k**3/5 - 96*k**2/5 + 36*k = 0. Calculate k.
-3/2, 0, 2, 5
Let k**3/9 - 32*k**2/9 - k/9 + 32/9 = 0. Calculate k.
-1, 1, 32
Solve -b**3/2 + 16*b**2 - 58*b + 56 = 0.
2, 28
Solve -6*a**4/5 - 24*a**3/5 - 18*a**2/5 + 24*a/5 + 24/5 = 0.
-2, -1, 1
Factor 5*r**4 - 55*r**2 + 90*r - 40.
5*(r - 2)*(r - 1)**2*(r + 4)
Suppose 4*i**5 + 12*i**4 - 16*i**2 = 0. What is i?
-2, 0, 1
Factor -2*p**3/17 - 52*p**2/17 + 1120*p/17.
-2*p*(p - 14)*(p + 40)/17
Let -2*i**4 + 190*i**3 - 188*i**2 = 0. Calculate i.
0, 1, 94
Solve -2*u**2/3 + 46*u/3 + 52 = 0 for u.
-3, 26
Find v such that -2*v**2/7 - 5310*v/7 - 5308/7 = 0.
-2654, -1
Suppose -20*v**5/3 + 61*v**4/9 + 13*v**3/3 - 23*v**2/9 - 5*v/3 - 2/9 = 0. Calculate v.
-2/5, -1/3, -1/4, 1
Find c, given that -c**3/4 - 13*c**2/4 + 29*c/4 - 15/4 = 0.
-15, 1
Factor g**5 + g**4 - 8*g**3 - 12*g**2.
g**2*(g - 3)*(g + 2)**2
Let -14*y**3 - 136*y**2 + 1090*y - 300 = 0. What is y?
-15, 2/7, 5
Factor -3*g**2 - 39*g + 2850.
-3*(g - 25)*(g + 38)
Find n such that 2*n**3 - 103*n**2 + 1488*n - 4032 = 0.
7/2, 24
Factor 2*k**3/9 + 196*k**2/9 + 752*k/9.
2*k*(k + 4)*(k + 94)/9
Factor -11*z**2 + 43*z - 30.
-(z - 3)*(11*z - 10)
Factor q**4/2 + q**3 - 7*q**2/2 + 2*q.
q*(q - 1)**2*(q + 4)/2
Determine d, given that -2*d**5/9 + 178*d**4/9 - 116*d**3/3 - 4*d**2/9 + 350*d/9 - 58/3 = 0.
-1, 1, 87
What is a in -a**2/5 + 3*a/5 + 2 = 0?
-2, 5
Suppose 3*u**2 - 12*u - 96 = 0. Calculate u.
-4, 8
What is o in o**3/4 + 205*o**2/2 + 817*o/4 + 102 = 0?
-408, -1
Let -3*a**4 - 36*a**3 + 231*a**2 - 396*a + 204 = 0. What is a?
-17, 1, 2
Suppose 2*s**3 + 70*s**2 - 72*s = 0. What is s?
-36, 0, 1
Factor 2*k**4 + 18*k**3 - 6*k**2 - 50*k + 36.
2*(k - 1)**2*(k + 2)*(k + 9)
Factor -2*a**2/9 - 328*a/3 - 13448.
-2*(a + 246)**2/9
Determine c, given that -c**3/6 + 9*c**2/2 - 65*c/2 + 169/6 = 0.
1, 13
Suppose -14*t**5/15 + 202*t**4/15 + 28*t**3/3 - 292*t**2/15 - 42*t/5 + 6 = 0. Calculate t.
-1, 3/7, 1, 15
Factor 5*s**4/2 - 135*s**3/2 + 65*s**2.
5*s**2*(s - 26)*(s - 1)/2
Factor -4*x**3 - 6*x**2 + 2.
-2*(x + 1)**2*(2*x - 1)
Factor -8*t**2 - 8*t - 2.
-2*(2*t + 1)**2
Find p such that p**2/3 + 4*p/3 - 5/3 = 0.
-5, 1
Factor -c**3 - 6*c**2 + 88*c + 192.
-(c - 8)*(c + 2)*(c + 12)
What is k in 228*k**3 - 920*k**2 + 944*k - 32 = 0?
2/57, 2
Factor b**3/3 - 22*b**2/3 - 79*b/3 + 100/3.
(b - 25)*(b - 1)*(b + 4)/3
Factor 4*s**2/5 + 108*s/5 - 112/5.
4*(s - 1)*(s + 28)/5
Suppose -20*b**3 - 432*b**2 - 2244*b + 968 = 0. Calculate b.
-11, 2/5
Solve -6*h**2 + 135*h/7 - 27/7 = 0 for h.
3/14, 3
Factor v**4/9 - v**3/3 - 4*v**2/9 + 4*v/3.
v*(v - 3)*(v - 2)*(v + 2)/9
Factor -12875*n**3 + 10550*n**2 - 2260*n + 40.
-5*(5*n - 2)**2*(103*n - 2)
Suppose -4*d**5 - 12*d**4 - 4*d**3 + 12*d**2 + 8*d = 0. What is d?
-2, -1, 0, 1
Determine i so that -4*i**2/5 + 8*i + 6624/5 = 0.
-36, 46
Let -3*v**2/4 - 9*v/2 + 54 = 0. What is v?
-12, 6
Let 2*c**5 + 10*c**4 - 6*c**3 - 26*c**2 + 20*c = 0. What is c?
-5, -2, 0, 1
Factor 28*m**4 + 23304*m**3 + 6656*m**2.
4*m**2*(m + 832)*(7*m + 2)
Let 5*k**3 + 300*k**2 + 4000*k = 0. Calculate k.
-40, -20, 0
Solve -3*k**4/4 + 48*k**3 + 9*k**2/4 - 291*k/2 + 96 = 0 for k.
-2, 1, 64
Determine j so that 36*j**4/5 + 64*j**3/5 - 16*j**2/5 = 0.
-2, 0, 2/9
Wha