p**5 + 849*p**4 - 16516*p**3 + 98784*p**2 - 180576*p - 60048 = 0.
-139, -2/7, 6
Find h, given that -9*h**2 - 93*h + 66 = 0.
-11, 2/3
Let -z**3/3 - 17*z**2 + 18*z + 104/3 = 0. Calculate z.
-52, -1, 2
Solve -2*r**4/9 - 44*r**3/9 + 106*r**2/3 - 496*r/9 + 224/9 = 0.
-28, 1, 4
Factor v**4 - 23*v**3 + 118*v**2 + 192*v - 288.
(v - 12)**2*(v - 1)*(v + 2)
Factor -65*a**3 - 445*a**2 - 320*a + 60.
-5*(a + 1)*(a + 6)*(13*a - 2)
Factor -3*j**4 + 18*j**3 + 240*j**2 + 414*j + 195.
-3*(j - 13)*(j + 1)**2*(j + 5)
Factor 3*d**3 - 147*d**2 + 138*d + 288.
3*(d - 48)*(d - 2)*(d + 1)
Find h such that 3*h**4/7 - 33*h**3/7 - 6*h**2 + 72*h/7 = 0.
-2, 0, 1, 12
Let 3*h**5/5 - 21*h**4/5 - 87*h**3/5 - 39*h**2/5 + 84*h/5 + 12 = 0. What is h?
-2, -1, 1, 10
Factor -p**4 + 534*p**3 - 1596*p**2 + 1594*p - 531.
-(p - 531)*(p - 1)**3
Solve -2*z**4/3 - 88*z**3/3 - 322*z**2 + 88*z/3 + 968/3 = 0 for z.
-22, -1, 1
Factor -36*t**3 + 975*t**2 - 1881*t + 150.
-3*(t - 25)*(t - 2)*(12*t - 1)
Let 4*h**2/5 - 248*h/5 - 268 = 0. What is h?
-5, 67
Factor 2*i**3/5 + 40*i**2 + 394*i/5 + 196/5.
2*(i + 1)**2*(i + 98)/5
Factor 2*w**3/7 + 526*w**2/7 + 1552*w/7 - 2080/7.
2*(w - 1)*(w + 4)*(w + 260)/7
Factor -4*z**3 - 236*z**2 - 1960*z.
-4*z*(z + 10)*(z + 49)
Solve 4*s**4/7 + 12*s**3 - 496*s**2/7 + 624*s/7 = 0 for s.
-26, 0, 2, 3
Factor -b**4 - 90*b**3 - 169*b**2 + 612*b - 352.
-(b - 1)**2*(b + 4)*(b + 88)
Factor -3*b**5/4 - 3*b**4/2 + 9*b**3/4 + 3*b**2 - 3*b.
-3*b*(b - 1)**2*(b + 2)**2/4
Determine n so that n**2/4 - n + 1 = 0.
2
Determine s, given that 26*s**5 - 1114*s**4 + 5834*s**3 - 7734*s**2 - 1332*s = 0.
-2/13, 0, 3, 37
Factor -2*m**2/3 + 6*m + 60.
-2*(m - 15)*(m + 6)/3
Factor -2*b**2/5 + 4*b/5 + 14.
-2*(b - 7)*(b + 5)/5
Suppose -3*b**2/4 - 117*b/4 + 129 = 0. What is b?
-43, 4
Let -q**2/9 - 17*q/9 - 8 = 0. What is q?
-9, -8
Factor -s**3/4 + 37*s**2/4 - 33*s.
-s*(s - 33)*(s - 4)/4
Determine x, given that -3*x**3 + 14427*x**2 - 23126481*x + 12357249681 = 0.
1603
Factor 3*c**2/4 - 1200*c + 480000.
3*(c - 800)**2/4
Determine o, given that 4*o**5 - 116*o**4 - 260*o**3 + 372*o**2 = 0.
-3, 0, 1, 31
Let -5*x**2 - 10*x + 315 = 0. What is x?
-9, 7
Suppose w**3/4 - 9*w**2/4 - 21*w/4 - 11/4 = 0. What is w?
-1, 11
Factor -30*g**2 - 1869*g - 558.
-3*(g + 62)*(10*g + 3)
Solve 4*w**4/5 + 16*w**3/5 - 12*w**2/5 - 72*w/5 = 0 for w.
-3, 0, 2
Factor 5*h**2 + 170*h + 165.
5*(h + 1)*(h + 33)
Factor a**3/3 + 97*a**2/3 - 98*a/3.
a*(a - 1)*(a + 98)/3
Let 3*v**2/2 - 20*v/3 + 8/3 = 0. What is v?
4/9, 4
Find v, given that 3*v**5 - 441*v**4 - 2715*v**3 - 5931*v**2 - 5496*v - 1836 = 0.
-2, -1, 153
Factor 3*k**3/8 + 783*k**2 + 408726*k.
3*k*(k + 1044)**2/8
What is d in -5*d**5/4 + 35*d**4/4 - 35*d**3/2 + 10*d**2 = 0?
0, 1, 2, 4
Factor 4*i**3 + 16*i**2 + 12*i.
4*i*(i + 1)*(i + 3)
Let 4*p**3 - 168*p**2 + 624*p - 608 = 0. Calculate p.
2, 38
Let g**5/3 - 26*g**4/3 - 56*g**3/3 = 0. What is g?
-2, 0, 28
Factor -3*d**2 - 225*d.
-3*d*(d + 75)
Suppose -v**5/8 + 3*v**4/4 + 9*v**3/4 - 14*v**2 - 105*v/8 + 225/4 = 0. Calculate v.
-3, 2, 5
Let -g**3/2 + 17*g**2/2 - 27*g - 36 = 0. Calculate g.
-1, 6, 12
Determine i, given that -2*i**3/9 - 14*i**2/3 - 24*i - 280/9 = 0.
-14, -5, -2
Factor -5*w**4 + 10*w**3 + 25*w**2 - 30*w.
-5*w*(w - 3)*(w - 1)*(w + 2)
Factor 2*h**2 - 136*h - 138.
2*(h - 69)*(h + 1)
Factor -14*w**2 - 38*w/3 + 4/3.
-2*(w + 1)*(21*w - 2)/3
Suppose -5*r**4 - 5*r**3 + 210*r**2 + 180*r - 1080 = 0. Calculate r.
-6, -3, 2, 6
Solve 2*w**3/9 - 91*w**2/9 + 133*w/9 - 44/9 = 0.
1/2, 1, 44
Determine r so that -9*r**5/7 - 15*r**4 - 229*r**3/7 - 17*r**2 - 18*r/7 = 0.
-9, -2, -1/3, 0
Factor 23*v**3 - 45*v**2 - 186*v - 8.
(v - 4)*(v + 2)*(23*v + 1)
Factor -w**3 + 15*w**2 - 26*w.
-w*(w - 13)*(w - 2)
Factor 2*q**2 + 46*q.
2*q*(q + 23)
Determine u, given that -2*u**4/9 + 4*u**3/9 - 4*u/9 + 2/9 = 0.
-1, 1
Factor 2*h**3 - 16*h**2 + 34*h - 20.
2*(h - 5)*(h - 2)*(h - 1)
Let -2*w**3/13 - 34*w**2 + 892*w/13 = 0. What is w?
-223, 0, 2
Suppose 143*h**2/2 - 139*h - 8 = 0. What is h?
-8/143, 2
What is b in 10*b**5 + 39*b**4 + 9*b**3 - 77*b**2 - 75*b - 18 = 0?
-3, -1, -2/5, 3/2
Factor h**4/4 + 235*h**3/4 + 3537*h**2 + 9860*h - 13456.
(h - 1)*(h + 4)*(h + 116)**2/4
Factor -2*u**5 + 2*u**4 + 28*u**3 - 56*u**2 - 16*u + 64.
-2*(u - 2)**3*(u + 1)*(u + 4)
Determine r, given that -2*r**5 - 28*r**4 + 32*r**3 + 28*r**2 - 30*r = 0.
-15, -1, 0, 1
Suppose f**2/5 - 3*f/5 + 2/5 = 0. Calculate f.
1, 2
Determine d so that 10*d**3 - 24*d**2 - 34*d = 0.
-1, 0, 17/5
Suppose 4*m**5/3 + 104*m**4 + 3040*m**3 + 121792*m**2/3 + 240064*m + 511104 = 0. What is m?
-22, -6
Factor -q**2/4 - 45*q - 179/4.
-(q + 1)*(q + 179)/4
Factor -2*l**4 - 134*l**3 - 130*l**2 + 134*l + 132.
-2*(l - 1)*(l + 1)**2*(l + 66)
Suppose -10*l**5/13 + 54*l**4/13 - 90*l**3/13 + 58*l**2/13 - 12*l/13 = 0. What is l?
0, 2/5, 1, 3
What is g in 2*g**5 + 13*g**4/2 + 5*g**3/2 - 13*g**2/2 - 9*g/2 = 0?
-9/4, -1, 0, 1
Determine u so that 3*u**2/2 - 48*u = 0.
0, 32
Find n such that n**4/8 + 13*n**3/8 + 9*n**2/4 - 20*n + 16 = 0.
-8, 1, 2
Determine c, given that -2*c**4/13 - 24*c**3/13 - 44*c**2/13 + 168*c/13 - 98/13 = 0.
-7, 1
Determine j, given that -4*j**3 - 1772*j**2 - 197132*j - 195364 = 0.
-221, -1
Factor -v**3/4 - v**2/4 + v/2.
-v*(v - 1)*(v + 2)/4
Determine y, given that -y**4/2 + 17*y**3/2 - 41*y**2 + 6*y + 252 = 0.
-2, 6, 7
Solve l**2/5 - 18*l/5 - 144/5 = 0 for l.
-6, 24
Solve i**3/9 + i**2/3 - i/9 - 1/3 = 0 for i.
-3, -1, 1
Suppose 4*i**3 - 20*i**2 - 200*i = 0. Calculate i.
-5, 0, 10
Factor 2*l**3/7 + 8*l**2 - 248*l/7 + 256/7.
2*(l - 2)**2*(l + 32)/7
Find s such that 15*s**5/4 - 1011*s**4/4 - 2703*s**3/4 - 1893*s**2/4 + 51*s + 105 = 0.
-1, 2/5, 70
Find m such that -m**5 + 4*m**4 + 76*m**3 + 224*m**2 + 192*m = 0.
-4, -2, 0, 12
Suppose 12*u**5/7 - 1424*u**4/7 + 41260*u**3/7 + 59992*u**2/7 - 71040*u/7 - 28800/7 = 0. Calculate u.
-2, -1/3, 1, 60
Find v such that -4*v**3/5 - 2*v**2/5 = 0.
-1/2, 0
What is i in 3*i**2 - 34*i + 11 = 0?
1/3, 11
Factor 3*f**2 + 12*f - 96.
3*(f - 4)*(f + 8)
Solve -3*s**5 + 30*s**4 + 42*s**3 - 96*s**2 - 39*s + 66 = 0.
-2, -1, 1, 11
Factor -2*u**5/7 - 58*u**4/7 - 212*u**3/7 - 44*u**2 - 202*u/7 - 50/7.
-2*(u + 1)**4*(u + 25)/7
Find f, given that 4*f**4 + 320*f**3 + 6712*f**2 + 12480*f + 6084 = 0.
-39, -1
Determine b, given that -3*b**3 - 20*b**2 - 29*b + 12 = 0.
-4, -3, 1/3
Solve -3*y**3 - 1587*y**2 - 210672*y - 209088 = 0 for y.
-264, -1
Solve -25*a**2/2 - 59*a/2 - 9 = 0 for a.
-2, -9/25
Solve -5*b**2 - 1670*b - 1665 = 0.
-333, -1
Suppose 3*x**5/7 - 60*x**4/7 + 249*x**3/7 - 372*x**2/7 + 180*x/7 = 0. Calculate x.
0, 1, 2, 15
Factor -16*p**4 - 2344*p**3 - 86433*p**2 - 42778*p - 5329.
-(p + 73)**2*(4*p + 1)**2
Suppose -2*r**2/13 + 394*r/13 + 396/13 = 0. What is r?
-1, 198
Suppose -2*f**4/11 + 10*f**2/11 - 8/11 = 0. What is f?
-2, -1, 1, 2
Factor -2*v**2/9 + 176*v/3 - 3872.
-2*(v - 132)**2/9
Let -4*a**2 - 48*a - 44 = 0. Calculate a.
-11, -1
Factor b**2 - 11*b - 26.
(b - 13)*(b + 2)
Factor 3*p**3 + 153*p**2 + 2025*p + 1875.
3*(p + 1)*(p + 25)**2
What is k in -35*k**4 - 1075*k**3 - 1720*k**2 + 580*k = 0?
-29, -2, 0, 2/7
Find x such that -8*x**3 - 4*x**2 + 32*x + 16 = 0.
-2, -1/2, 2
Let -5*a**3 - 90*a**2 - 405*a = 0. Calculate a.
-9, 0
Determine m so that m**5/7 - 281*m**4/7 + 19027*m**3/7 + 99961*m**2/7 + 162448*m/7 + 81796/7 = 0.
-2, -1, 143
Factor 3*a**2/2 + 4914*a + 4024566.
3*(a + 1638)**2/2
Factor -4*n**4 + 232*n**3 - 204*n**2 - 1368*n.
-4*n*(n - 57)*(n - 3)*(n + 2)
Factor -n**3/6 - 2*n**2/3 - 5*n/6 - 1/3.
-(n + 1)**2*(n + 2)/6
Factor -3*u**4/2 + 7*u**3/6 + u**2/3.
-u**2*(u - 1)*(9*u + 2)/6
Factor -2*j**3 + 28*j**2 + 62*j + 32.
-2*(j - 16)*(j + 1)**2
Determine g so that 2*g**4/7 + 464*g**3/7 + 5148*g**2 + 135520*g + 130438 = 0.
-77, -1
Find q such that -2*q**5/5 - 38*q**4/5 - 42*q**3 - 394*q**2/5 - 44*q = 0.
-11, -5, -2, -1, 0
Solve 9*s**2 - 7431*s - 2478 = 0 for s.
-1/3, 826
Let 3*r**3/5 - 36*r**2/5 - 3*r/5 + 36/5 = 0. What is r?
-1, 1, 12
Factor -21*h**5 - 69*h**4 - 81*h**3 - 39*h**2 - 6*h.
-3*h*(h + 1)**3*(7*h + 2)
Suppose -l**2/2 - 9*l/2 = 0. What is l?
-9, 0
Find n, given that -6*n**4 - 16*n**3 + 6*n**2 = 0.
-3, 0, 1/3
Factor y**5 - 4*y**4 - 48*y**3 + 320*y**2 - 512*y.
y*(y - 4)**3*(y + 8)
Suppose j**3/4 + j**2/2 - 2*j = 0. Calculate j.
-4, 0, 2
Solve -n**4/9 + 38*n**3/9 - 29*n**2 