n that 7*d**2/2 + 4*d + 1/2 = 0.
-1, -1/7
Suppose -5*k**3/4 + 1101*k**2/2 + 1325*k/4 - 441/2 = 0. Calculate k.
-1, 2/5, 441
Suppose -v**2/4 + 15*v/4 = 0. What is v?
0, 15
Determine y, given that 2*y**4 - 192*y**3 + 378*y**2 - 188*y = 0.
0, 1, 94
Factor 5*s**4 + 40*s**3 - 95*s**2 + 50*s.
5*s*(s - 1)**2*(s + 10)
Suppose -4*t**3 + 72*t**2 - 132*t + 64 = 0. What is t?
1, 16
Find n, given that 5*n**3 - 1505*n**2/2 - 3500*n + 3875/2 = 0.
-5, 1/2, 155
Solve -4*y**2 + 9*y - 5 = 0 for y.
1, 5/4
Suppose -4*f**2 - 84*f + 288 = 0. Calculate f.
-24, 3
Factor -3*w**3 + 3*w**2.
-3*w**2*(w - 1)
Suppose 4*j**5 - 260*j**4 + 468*j**3 + 2276*j**2 - 472*j - 2016 = 0. Calculate j.
-2, -1, 1, 4, 63
Find v, given that -2*v**4/11 - 450*v**3/11 - 1332*v**2/11 + 8*v/11 + 1776/11 = 0.
-222, -2, 1
Determine s, given that -2*s**3/15 - 104*s**2/15 - 290*s/3 - 500/3 = 0.
-25, -2
Solve -i**3/2 - 11*i**2/2 - 4*i + 10 = 0.
-10, -2, 1
Factor 5*x**3 + 105*x**2 + 360*x - 2160.
5*(x - 3)*(x + 12)**2
Determine z so that -2*z**2/11 - 386*z/11 - 1140/11 = 0.
-190, -3
Determine a, given that 2*a**5/3 + 2*a**4/3 - 4*a**3 + 4*a**2/3 + 10*a/3 - 2 = 0.
-3, -1, 1
Factor -5*k**4 - 95*k**3 - 390*k**2 - 580*k - 280.
-5*(k + 1)*(k + 2)**2*(k + 14)
Factor v**5 - 4*v**4 - 47*v**3 - 118*v**2 - 116*v - 40.
(v - 10)*(v + 1)**2*(v + 2)**2
Determine n so that 3*n**2/5 + 834*n + 289815 = 0.
-695
Factor -3*v**2/8 - 9*v/2 + 21/2.
-3*(v - 2)*(v + 14)/8
Determine g, given that -3*g**2/2 + 45*g/2 + 324 = 0.
-9, 24
Suppose -3*h**3 + 111*h**2 - 1353*h + 5445 = 0. What is h?
11, 15
Suppose v**4 + 31*v**3/2 + 69*v**2/2 + 53*v/2 + 13/2 = 0. What is v?
-13, -1, -1/2
Let 2*s**4 + 76*s**3 - 82*s**2 - 156*s = 0. What is s?
-39, -1, 0, 2
Factor -n**5 - n**4 + 3*n**3 + 5*n**2 + 2*n.
-n*(n - 2)*(n + 1)**3
Solve x**3/2 + 9*x**2/4 + 9*x/4 = 0 for x.
-3, -3/2, 0
Solve 32*w**4/3 - 88*w**3/3 + 18*w**2 - 25*w/6 + 1/3 = 0 for w.
1/4, 2
Suppose 2*c**5/3 - 22*c**4/3 - 34*c**3/3 + 302*c**2/3 + 752*c/3 + 440/3 = 0. Calculate c.
-2, -1, 5, 11
Factor -5*h**5 - 38915*h**4 - 100932530*h**3 - 87171992550*h**2 + 174646938375*h - 87373974375.
-5*(h - 1)**2*(h + 2595)**3
Let 12*z**3 - 4300*z**2 - 11536*z - 5776 = 0. Calculate z.
-2, -2/3, 361
Determine f, given that -4*f**5/9 - 28*f**4/9 + 4*f**3 + 460*f**2/9 + 400*f/9 = 0.
-5, -1, 0, 4
Factor -3*m**3 + 1239*m**2 - 127305*m - 128547.
-3*(m - 207)**2*(m + 1)
Find r, given that -r**2 + 48*r + 49 = 0.
-1, 49
Solve 7*h**5/3 - 86*h**4/3 + 388*h**3/3 - 776*h**2/3 + 640*h/3 - 128/3 = 0.
2/7, 2, 4
Factor 2*t**2 - 20*t - 78.
2*(t - 13)*(t + 3)
Factor -22898*r**2/5 - 1284*r/5 - 18/5.
-2*(107*r + 3)**2/5
Factor 2*l**5/5 - 134*l**4/5 + 52*l**3.
2*l**3*(l - 65)*(l - 2)/5
Factor -5*u**4 + 55*u**3 + 200*u**2 + 140*u.
-5*u*(u - 14)*(u + 1)*(u + 2)
Factor 100*p**3 - 765*p**2 + 465*p - 70.
5*(p - 7)*(4*p - 1)*(5*p - 2)
Suppose -4*m**3 - 16*m**2 + 48*m = 0. What is m?
-6, 0, 2
Let 2*h**4 - 4*h**3/3 - 8*h**2/3 + 4*h/3 + 2/3 = 0. What is h?
-1, -1/3, 1
What is m in m**3 + 8*m**2 - 19*m + 10 = 0?
-10, 1
Determine d, given that -d**3/2 - 33*d**2/2 - 363*d/2 - 1331/2 = 0.
-11
Find t such that -5*t**3 - 20*t**2 - 20*t = 0.
-2, 0
Suppose -k**3 - 18*k**2/5 - 19*k/5 - 6/5 = 0. Calculate k.
-2, -1, -3/5
Let 2*m**4 - 28*m**3 + 106*m**2 - 152*m + 72 = 0. What is m?
1, 2, 9
Factor -3*u**4 + 4671*u**3 - 2424249*u**2 + 419395077*u.
-3*u*(u - 519)**3
What is z in -5*z**5 - 20*z**4 + 195*z**3 - 270*z**2 = 0?
-9, 0, 2, 3
Factor -2*h**4/3 - 108*h**3 - 12458*h**2/3 + 17928*h - 55112/3.
-2*(h - 2)**2*(h + 83)**2/3
Factor 2*s**2/9 - 22*s/3 - 296/9.
2*(s - 37)*(s + 4)/9
Let -4*o**4 - 760*o**3 - 36848*o**2 - 70688*o = 0. What is o?
-94, -2, 0
Suppose 2*o**2 + 1274*o + 1272 = 0. Calculate o.
-636, -1
Solve -37044*o**3 + 211680*o**2 - 403200*o + 256000 = 0.
40/21
Factor 4*b**5 - 412*b**4 + 812*b**3 - 404*b**2.
4*b**2*(b - 101)*(b - 1)**2
Factor 2*j**2/3 - 1864*j/3 + 434312/3.
2*(j - 466)**2/3
What is w in 3*w**3/8 - 1851*w**2/4 + 3699*w/8 = 0?
0, 1, 1233
Find u such that -2*u**3/7 - 12*u**2/7 - 18*u/7 - 8/7 = 0.
-4, -1
Factor -2*l**2 + 216*l - 832.
-2*(l - 104)*(l - 4)
Factor 76*h**2 - 44*h - 32.
4*(h - 1)*(19*h + 8)
Solve 7*o**5/4 - 27*o**4/2 + 89*o**3/4 + 43*o**2/2 - 24*o - 8 = 0 for o.
-1, -2/7, 1, 4
Let -y**3 - 9*y**2 + 21*y - 11 = 0. Calculate y.
-11, 1
Factor z**4/9 - 32*z**3/9 - 35*z**2/3.
z**2*(z - 35)*(z + 3)/9
Suppose -148*f**2 + 1752*f + 288 = 0. What is f?
-6/37, 12
Factor 5*k**4 + 65*k**3 + 225*k**2 - 125*k - 1250.
5*(k - 2)*(k + 5)**3
Let -o**2/2 + 69*o - 137/2 = 0. Calculate o.
1, 137
Factor 2*m**4/7 - 16*m**3/7 - 18*m**2/7.
2*m**2*(m - 9)*(m + 1)/7
Solve -x**4 + 18*x**3 + 107*x**2 + 180*x + 92 = 0 for x.
-2, -1, 23
Let -25*k**4 + 170*k**3 + 55*k**2 - 140*k = 0. What is k?
-1, 0, 4/5, 7
Determine m so that -3*m**2/5 + 18*m/5 - 3 = 0.
1, 5
Let -4*x**5 - 8*x**4 + 28*x**3 - 16*x**2 = 0. What is x?
-4, 0, 1
Find b, given that 4*b**4/3 + 320*b**3/3 - 220*b**2 - 320*b/3 + 656/3 = 0.
-82, -1, 1, 2
Determine i, given that -3*i**5 - 93*i**4 - 813*i**3 - 2631*i**2 - 3504*i - 1596 = 0.
-19, -7, -2, -1
Factor -35*z**3 + 480*z**2 - 1260*z - 400.
-5*(z - 10)*(z - 4)*(7*z + 2)
Factor y**5/8 - 7*y**4/8 - y**3/8 + 7*y**2/8.
y**2*(y - 7)*(y - 1)*(y + 1)/8
Factor 3*s**4/5 + 63*s**3/5 - 228*s**2/5 - 288*s/5.
3*s*(s - 4)*(s + 1)*(s + 24)/5
Solve 2*w**5/13 + 16*w**4/13 - 14*w**3/13 - 172*w**2/13 + 24*w - 144/13 = 0 for w.
-6, 1, 2
Factor 5*p**2 - 80*p.
5*p*(p - 16)
Suppose f**3 + 26*f**2 + 192*f + 288 = 0. What is f?
-12, -2
Factor k**4/3 + 166*k**3/3 + 6889*k**2/3.
k**2*(k + 83)**2/3
Factor -2*u**2 - 16*u + 66.
-2*(u - 3)*(u + 11)
Factor 130*m**2 + 5*m.
5*m*(26*m + 1)
Let -i**2 - 88*i + 273 = 0. What is i?
-91, 3
Factor -69*f**2 + 426*f - 72.
-3*(f - 6)*(23*f - 4)
Factor -5*k**4 + 440*k**3 - 410*k**2 - 2160*k - 1305.
-5*(k - 87)*(k - 3)*(k + 1)**2
Suppose 4*q**2 + 88*q + 484 = 0. What is q?
-11
Find v such that -2*v**2/9 - 2036*v/9 - 518162/9 = 0.
-509
Factor 5*n**3/3 + 20*n**2 + 60*n + 160/3.
5*(n + 2)**2*(n + 8)/3
Factor -4*j**2/5 - 518*j/5 + 1052/5.
-2*(j - 2)*(2*j + 263)/5
What is u in -u**2/7 - 80*u/7 - 1600/7 = 0?
-40
What is d in 2*d**2/15 + 76*d/5 + 2166/5 = 0?
-57
Solve -2*l**3 + 128*l**2 + 134*l - 260 = 0 for l.
-2, 1, 65
Factor -4*z**2 + 228*z.
-4*z*(z - 57)
Find n such that n**3/3 + 8*n**2/3 + 5*n/3 - 14/3 = 0.
-7, -2, 1
Factor 5*q**4 + 325*q**3 + 1245*q**2 + 1535*q + 610.
5*(q + 1)**2*(q + 2)*(q + 61)
Factor -4*h**4 - 36*h**3 - 120*h**2 - 176*h - 96.
-4*(h + 2)**3*(h + 3)
Determine u so that -4*u**5 - 84*u**4 + 196*u**3 + 244*u**2 - 720*u + 368 = 0.
-23, -2, 1, 2
Suppose -147*h**5 - 378*h**4 - 33*h**3 + 354*h**2 + 180*h + 24 = 0. Calculate h.
-2, -1, -2/7, 1
Factor -9604*i**3/9 + 3724*i**2/3 - 544*i/3 + 64/9.
-4*(i - 1)*(49*i - 4)**2/9
Factor -4*n**4 - 8*n**3 + 48*n**2 - 56*n + 20.
-4*(n - 1)**3*(n + 5)
Factor 2*s**3/5 - 84*s**2/5 + 378*s/5 - 296/5.
2*(s - 37)*(s - 4)*(s - 1)/5
Suppose -b**4 - 55*b**3 + 56*b**2 = 0. What is b?
-56, 0, 1
What is r in -108*r**4 + 276*r**3 + 160*r**2 - 48*r = 0?
-2/3, 0, 2/9, 3
Factor -4*p**2/7 - 24*p/7 - 20/7.
-4*(p + 1)*(p + 5)/7
Find z, given that 2*z**3 - 222*z**2 + 6048*z + 6272 = 0.
-1, 56
Factor 5*t**5 + 40*t**4 + 45*t**3 - 90*t**2.
5*t**2*(t - 1)*(t + 3)*(t + 6)
Let o**4/7 - 19*o**3/7 + 122*o**2/7 - 320*o/7 + 288/7 = 0. What is o?
2, 4, 9
Let -169*j**4 + 390*j**3 + 399*j**2 - 148*j + 12 = 0. Calculate j.
-1, 2/13, 3
Factor -2*j**3/3 - 28*j**2 - 294*j.
-2*j*(j + 21)**2/3
Factor -2*d**3 - 142*d**2 - 790*d - 650.
-2*(d + 1)*(d + 5)*(d + 65)
Factor f**4/4 + 15*f**3/2 - 33*f**2/4 - 31*f/2.
f*(f - 2)*(f + 1)*(f + 31)/4
Suppose v**4 - 8*v**3 + 13*v**2 - 6*v = 0. Calculate v.
0, 1, 6
Determine i so that -3*i**5/2 - 405*i**4/2 + 3*i**3/2 + 405*i**2/2 = 0.
-135, -1, 0, 1
Suppose -2*p**3/11 + 1394*p**2/11 + 5600*p/11 + 5608/11 = 0. Calculate p.
-2, 701
Determine c so that -138*c**4 - 548*c**3 - 536*c**2 + 16*c = 0.
-2, 0, 2/69
Factor o**3/5 - 5201*o**2/5 + 6759999*o/5 + 6765201/5.
(o - 2601)**2*(o + 1)/5
Determine w, given that 2*w**2/7 - 40*w/7 - 138/7 = 0.
-3, 23
Solve 2*o**2/5 + 204*o/5 - 126 = 0.
-105, 3
Suppose 60*i**4 - 188*i**3 - 216*i**2 + 32*i = 0. What is i?
-1, 0, 2/15, 4
Factor -196*a**5 - 1288*a**4 - 2452*a**3 - 1104*a**2 - 144*a.
-4*a*(a + 3)**2*(7*a + 2)**2
Determine p so that 