1, 2
Find l such that -l**3/7 + 429*l**2/7 - 47064*l/7 + 224720/7 = 0.
5, 212
Suppose 8*k**5 - 76*k**4 + 152*k**3 + 176*k**2 - 160*k - 100 = 0. Calculate k.
-1, -1/2, 1, 5
Factor -4*q**2/5 + 6656*q/5 - 2768896/5.
-4*(q - 832)**2/5
Let -6*n**2/7 - 17312*n/7 + 11544/7 = 0. What is n?
-2886, 2/3
Find t, given that t**4/2 + 14*t**3 + 27*t**2/2 = 0.
-27, -1, 0
Let 2*x**3 + 6534*x**2 + 7115526*x + 2582935938 = 0. Calculate x.
-1089
Factor 4*j**2 + 120*j + 884.
4*(j + 13)*(j + 17)
Factor -5*d**5 + 10*d**4 - 10*d**2 + 5*d.
-5*d*(d - 1)**3*(d + 1)
Factor -2*i**5 + 20*i**4 + 48*i**3 - 608*i**2 + 1376*i - 960.
-2*(i - 10)*(i - 2)**3*(i + 6)
Factor 4*v**2 + 172*v.
4*v*(v + 43)
Factor 3*x**4 + 66*x**3 - 591*x**2 + 522*x.
3*x*(x - 6)*(x - 1)*(x + 29)
Determine b, given that -3*b**5/2 + 267*b**4/2 + 411*b**3 + 276*b**2 = 0.
-2, -1, 0, 92
Factor 5*t**5 - 5*t**4 - 105*t**3 + 205*t**2 - 100*t.
5*t*(t - 4)*(t - 1)**2*(t + 5)
Find h such that 5476*h**3 - 4588*h**2 - 852*h - 36 = 0.
-3/37, 1
Determine p so that -3*p**2 + 24*p + 27 = 0.
-1, 9
What is k in -21*k**4/8 - 39*k**3/4 + 3*k**2/8 + 33*k/2 - 9/2 = 0?
-3, -2, 2/7, 1
Factor -3*i**2/2 + 147*i/2 - 666.
-3*(i - 37)*(i - 12)/2
Factor -y**3/6 - 13*y**2/3 - 139*y/6 - 19.
-(y + 1)*(y + 6)*(y + 19)/6
Determine m, given that 3*m**4 - 30*m**3 - 147*m**2 + 390*m = 0.
-5, 0, 2, 13
Factor -2*g**3/13 + 296*g**2/13 + 1208*g/13 + 1216/13.
-2*(g - 152)*(g + 2)**2/13
Suppose 7*i**5/3 - 131*i**4/3 - 218*i**3 - 820*i**2/3 - 184*i/3 = 0. Calculate i.
-2, -2/7, 0, 23
Solve -2*d**4/21 + 40*d**3/21 - 236*d**2/21 + 120*d/7 - 54/7 = 0 for d.
1, 9
Factor -5*g**3 + 80*g**2 + 95*g - 170.
-5*(g - 17)*(g - 1)*(g + 2)
What is l in -l**4 + 3*l**3 + 14*l**2 - 12*l - 40 = 0?
-2, 2, 5
Determine r, given that -2*r**4/3 + 2*r**3 = 0.
0, 3
Factor -2*h**3 - 346*h**2 - 1342*h + 1690.
-2*(h - 1)*(h + 5)*(h + 169)
Let -2*d**2/5 + 48*d/5 - 46/5 = 0. Calculate d.
1, 23
Let 14*s**5/13 - 514*s**4/13 - 1226*s**3/13 - 854*s**2/13 - 12*s = 0. What is s?
-1, -2/7, 0, 39
Let 5*z**4 - 45*z**3 + 30*z**2 + 80*z = 0. Calculate z.
-1, 0, 2, 8
Suppose -k**3 - 30*k**2 - 77*k + 108 = 0. Calculate k.
-27, -4, 1
Factor n**3/11 - 100*n**2/11 - 1075*n/11 - 250.
(n - 110)*(n + 5)**2/11
Solve -s**5/4 + s**4 + 29*s**3/2 - 31*s**2 + 63*s/4 = 0.
-7, 0, 1, 9
Solve 7*b**3/8 - 11*b**2/8 - 111*b/8 - 45/8 = 0 for b.
-3, -3/7, 5
Factor 5*m**3 - 5*m.
5*m*(m - 1)*(m + 1)
Let -5*u**4 + 40*u**3 - 95*u**2 + 60*u = 0. Calculate u.
0, 1, 3, 4
Factor 7*r**2/2 + 103*r + 87/2.
(r + 29)*(7*r + 3)/2
Factor -4*r**3 + 36*r**2 + 16*r - 144.
-4*(r - 9)*(r - 2)*(r + 2)
Factor 2*t**3/11 - 74*t**2/11 - 516*t/11.
2*t*(t - 43)*(t + 6)/11
Find u, given that -5*u**3/3 - 35*u**2/3 + 130*u/3 + 120 = 0.
-9, -2, 4
Factor -5*m**4 + 55*m**3 - 160*m**2 + 140*m.
-5*m*(m - 7)*(m - 2)**2
Let -2*b**2 + 1292*b - 1290 = 0. What is b?
1, 645
Determine r so that 8*r**5 - 212*r**4 - 376*r**3 + 7872*r**2 - 17424*r + 6804 = 0.
-7, 1/2, 3, 27
Solve 4*t**2/7 + 12*t/7 = 0 for t.
-3, 0
Determine h so that 2*h**5 - 28*h**4 + 108*h**3 - 176*h**2 + 130*h - 36 = 0.
1, 2, 9
Factor -4*p**2 + 60*p - 225.
-(2*p - 15)**2
Let -5*z**5 + 10*z**4 + 15*z**3 - 40*z**2 + 20*z = 0. What is z?
-2, 0, 1, 2
Let 3*s**3 + 99*s**2 = 0. What is s?
-33, 0
What is f in -f**2/10 + 641*f/10 = 0?
0, 641
Solve -8925*h**2 - 1340*h - 20 = 0.
-2/15, -2/119
Solve -4*t**3 + 28*t**2 - 64*t + 48 = 0.
2, 3
Determine v so that -3*v**4/2 - 259*v**3/2 - 839*v**2/2 - 749*v/2 - 83 = 0.
-83, -2, -1, -1/3
Solve -3*l**4 + 30*l**3 - 93*l**2 + 90*l = 0.
0, 2, 3, 5
Factor -3*u**3 + 63*u**2 - 348*u + 468.
-3*(u - 13)*(u - 6)*(u - 2)
Determine u, given that 4*u**4 - 356*u**3 + 348*u**2 + 356*u - 352 = 0.
-1, 1, 88
Factor -k**3/2 + 8*k**2 + 17*k/2.
-k*(k - 17)*(k + 1)/2
What is v in 44*v**4 + 360*v**3 + 724*v**2 + 120*v = 0?
-5, -3, -2/11, 0
Factor c**3/4 - 5*c**2/4 - 3*c/2.
c*(c - 6)*(c + 1)/4
Find k, given that -k**3 - 29*k**2 - 166*k + 456 = 0.
-19, -12, 2
Factor -3*f**4 + 3489*f**3 - 1354887*f**2 + 176577651*f - 347763618.
-3*(f - 387)**3*(f - 2)
Solve 4*k**2/19 - 90*k/19 = 0 for k.
0, 45/2
Determine m, given that 8*m**2 - 500*m - 768 = 0.
-3/2, 64
Find j, given that -2*j**4 - 1558*j**3 + 6254*j**2 - 7826*j + 3132 = 0.
-783, 1, 2
Factor 3*w**3 + 273*w**2 + 2040*w + 3984.
3*(w + 4)**2*(w + 83)
Let -8*r**5/17 - 10*r**4/17 + 14*r**3/17 + 4*r**2/17 = 0. Calculate r.
-2, -1/4, 0, 1
Factor -45*w**3 + 185*w**2 + 200*w.
-5*w*(w - 5)*(9*w + 8)
Factor -4*o**5/9 + 140*o**4/9 + 292*o**3/9 + 148*o**2/9.
-4*o**2*(o - 37)*(o + 1)**2/9
Find c such that -4*c**3 - 20*c**2 + 4*c + 20 = 0.
-5, -1, 1
Solve -9*x**5 + 49*x**4 + 43*x**3 - 73*x**2 - 34*x + 24 = 0 for x.
-1, 4/9, 1, 6
Factor -33*b**2/5 + 36*b/5 - 3/5.
-3*(b - 1)*(11*b - 1)/5
Find z, given that 4*z**2 + 12*z + 8 = 0.
-2, -1
Let 8*s**5 - 14*s**4 - 4*s**3 + 16*s**2 - 4*s - 2 = 0. What is s?
-1, -1/4, 1
Factor 3*f**4 - 51*f**3 - 114*f**2.
3*f**2*(f - 19)*(f + 2)
What is x in -3*x**5/7 + 219*x**4/7 + 1665*x**3/7 + 1221*x**2/7 - 1662*x/7 - 1440/7 = 0?
-6, -1, 1, 80
Find o, given that o**5/5 - 3*o**4/5 - 16*o**3/5 + 4*o**2 + 96*o/5 + 64/5 = 0.
-2, -1, 4
Factor 3*q**3 + 138*q**2 - 141*q.
3*q*(q - 1)*(q + 47)
Factor -5*t**2 - 710*t - 4080.
-5*(t + 6)*(t + 136)
Factor 2*p**2 + 834*p - 836.
2*(p - 1)*(p + 418)
Factor -b**4/2 - 549*b**3/2 + 1659*b**2 - 3326*b + 2220.
-(b - 2)**3*(b + 555)/2
Factor -2*u**3 + 6*u**2 - 6*u + 2.
-2*(u - 1)**3
Let -2*b**5 - 68*b**4 - 360*b**3 - 692*b**2 - 566*b - 168 = 0. What is b?
-28, -3, -1
Determine y, given that 90*y**5 + 246*y**4 + 998*y**3/5 + 114*y**2/5 - 96*y/5 + 8/5 = 0.
-1, 2/15
Find y such that -5*y**2 - 1455*y - 15400 = 0.
-280, -11
Determine c, given that -2*c**3/7 - 30*c**2/7 - 132*c/7 - 160/7 = 0.
-8, -5, -2
Factor -2*r**3 + 20*r**2 - 18*r.
-2*r*(r - 9)*(r - 1)
Determine y so that y**3/11 - 7*y**2/11 + 16*y/11 - 12/11 = 0.
2, 3
Factor m**3/6 + 15*m**2/2 - 32*m + 98/3.
(m - 2)**2*(m + 49)/6
Factor 3*s**3 + 165*s**2 - 3*s - 165.
3*(s - 1)*(s + 1)*(s + 55)
Determine d, given that -3*d**5 + 24*d**4 - 63*d**3 + 42*d**2 + 60*d - 72 = 0.
-1, 2, 3
Determine y, given that y**3/2 + 6*y**2 + 35*y/2 + 12 = 0.
-8, -3, -1
Factor 2*n**2/9 - 98*n/3 - 596/9.
2*(n - 149)*(n + 2)/9
Suppose 4*o**2 - 124*o - 264 = 0. Calculate o.
-2, 33
Factor 6*k**2 + 1910*k - 1276.
2*(k + 319)*(3*k - 2)
Solve -2*h**3/7 + 18*h**2/7 - 12*h/7 - 32/7 = 0.
-1, 2, 8
Determine y, given that -y**3/4 - 39*y**2/2 + 243*y/4 = 0.
-81, 0, 3
Solve g**2/3 - 20*g/3 + 64/3 = 0 for g.
4, 16
Factor -2*s**3/9 + 34*s**2/9 - 50*s/3 + 22.
-2*(s - 11)*(s - 3)**2/9
Factor a**4 + 30*a**3 + 107*a**2 + 78*a.
a*(a + 1)*(a + 3)*(a + 26)
Factor 5*j**3 - 60*j**2 + 175*j.
5*j*(j - 7)*(j - 5)
Let -14*g**2 - 183*g - 13 = 0. Calculate g.
-13, -1/14
Factor 3*y**2 - 2238*y + 2235.
3*(y - 745)*(y - 1)
Factor -15*f**3 - 56*f**2 - 44*f + 16.
-(f + 2)**2*(15*f - 4)
Suppose 2*b**2 + 6574*b = 0. Calculate b.
-3287, 0
Determine a so that 3*a**5/5 - 33*a**4/5 + 102*a**3/5 - 42*a**2/5 - 21*a + 15 = 0.
-1, 1, 5
What is n in -12*n**2 + 196*n - 64 = 0?
1/3, 16
Find h such that -2*h**2/13 + 18*h/13 - 16/13 = 0.
1, 8
What is b in -2*b**4/3 + 88*b**3 - 8972*b**2/3 + 5720*b - 8450/3 = 0?
1, 65
Factor -3*l**2 - 4377*l + 4380.
-3*(l - 1)*(l + 1460)
Factor 2*f**4 - 46*f**3 + 66*f**2 + 1854*f + 3564.
2*(f - 18)*(f - 11)*(f + 3)**2
What is c in -5*c**3 + 70*c**2 - 225*c = 0?
0, 5, 9
Factor -4*u**3 - 24*u**2 + 36*u + 56.
-4*(u - 2)*(u + 1)*(u + 7)
Factor 5*c**4 - 130*c**3 + 205*c**2 + 820*c + 480.
5*(c - 24)*(c - 4)*(c + 1)**2
Find h such that -9*h**5 - 87*h**4 + 39*h**3 + 87*h**2 - 30*h = 0.
-10, -1, 0, 1/3, 1
Suppose -64*r**3 - 9056*r**2 + 4540*r - 568 = 0. Calculate r.
-142, 1/4
Let -3*n**3 + 39*n**2 + 1680*n + 9900 = 0. What is n?
-10, 33
Factor 3*h**3 - 3*h**2 - 6*h.
3*h*(h - 2)*(h + 1)
Suppose 4*r**5 - 12*r**4 + 8*r**3 = 0. What is r?
0, 1, 2
Factor -3*r**3 + 63*r**2 - 312*r + 252.
-3*(r - 14)*(r - 6)*(r - 1)
What is m in -2*m**3/11 - 42*m**2/11 + 96*m - 4736/11 = 0?
-37, 8
Let -2*b**4/7 - 234*b**3/7 + 3000*b**2/7 - 12256*b/7 + 16512/7 = 0. Calculate b.
-129, 4
Factor z**5/2 + 3*z**4/2 - 5*z**3/2 - 3*z**2/2 + 2*z.
z*(z - 1)**2*(z + 1)*(z + 4)/2
Determine p, given that -2*p**4/5 + 12*p**3/5 - 2*p**2 - 48*p/5 + 72/5 = 0.
-2, 2, 3
Solve -2*c**4/17 + 270*c**3/17 = 0.
0, 135
Find p, give