hat -3*h**3 - 915*h**2 - 1821*h - 909 = 0.
-303, -1
Determine d so that 2*d**3/7 + 4*d**2/7 - 38*d/7 - 40/7 = 0.
-5, -1, 4
Factor 2*g**2/17 - 72*g/17 + 70/17.
2*(g - 35)*(g - 1)/17
Factor 3*q**4/8 - 201*q**3/8 + 5049*q**2/8 - 56355*q/8 + 29478.
3*(q - 17)**3*(q - 16)/8
Determine l, given that 2*l**5/15 - 26*l**4/15 - 6*l**3 + 458*l**2/15 - 16*l/3 - 40 = 0.
-5, -1, 2, 15
Suppose -477*c**4/4 + 483*c**3/4 + 471*c**2/4 - 483*c/4 + 3/2 = 0. Calculate c.
-1, 2/159, 1
Factor -5*z**5 + 20*z**3 - 10*z**2 - 15*z + 10.
-5*(z - 1)**3*(z + 1)*(z + 2)
Factor 54*u**3/13 - 112*u**2/13 + 8*u/13.
2*u*(u - 2)*(27*u - 2)/13
Factor 5*g**4 + 4220*g**3 + 894630*g**2 + 1776620*g + 886205.
5*(g + 1)**2*(g + 421)**2
Suppose -2*g**3/5 + 94*g**2/5 + 2994*g/5 + 2898/5 = 0. Calculate g.
-21, -1, 69
Factor -4*g**4 + 64*g**3 + 492*g**2 + 776*g + 352.
-4*(g - 22)*(g + 1)**2*(g + 4)
Let 4*o**4 + 20*o**3 - 168*o**2 + 304*o - 160 = 0. What is o?
-10, 1, 2
Factor 2*u**4/5 - 31*u**3/10 - 22*u**2/5 - 9*u/10.
u*(u - 9)*(u + 1)*(4*u + 1)/10
Factor -3*m**3 + 27*m**2 - 42*m.
-3*m*(m - 7)*(m - 2)
Solve g**4/7 - 3*g**2/7 - 2*g/7 = 0 for g.
-1, 0, 2
Let -6*j**4/17 + 16*j**3/17 + 16*j**2/17 - 64*j/17 + 32/17 = 0. What is j?
-2, 2/3, 2
Factor 3*u**4 - 27*u**3 + 81*u**2 - 93*u + 36.
3*(u - 4)*(u - 3)*(u - 1)**2
Factor -4*a**5 + 12*a**3 + 8*a**2.
-4*a**2*(a - 2)*(a + 1)**2
Determine s so that -3*s**2 - 3654*s - 1112643 = 0.
-609
Solve 4*n**3 - 4*n**2 - 136*n - 224 = 0 for n.
-4, -2, 7
Let 12*i**5 + 15*i**4 - 21*i**3 - 6*i**2 = 0. What is i?
-2, -1/4, 0, 1
Factor i**2/2 + 5*i.
i*(i + 10)/2
Find o such that 25*o**4 - 720*o**3 - 3345*o**2 - 3940*o - 660 = 0.
-2, -1/5, 33
Suppose 3*l**2/5 + 906*l/5 + 68403/5 = 0. Calculate l.
-151
Factor 2*z**3 - 498*z**2 + 496*z.
2*z*(z - 248)*(z - 1)
Factor -3*h**5/2 + 21*h**4/2 - 18*h**3.
-3*h**3*(h - 4)*(h - 3)/2
Factor k**3/8 - 99*k**2/4 - 399*k/8 - 25.
(k - 200)*(k + 1)**2/8
Solve z**2/7 - 6176*z/7 + 9535744/7 = 0.
3088
Determine l, given that -5*l**5 + 110*l**4 - 585*l**3 = 0.
0, 9, 13
Factor -8*k**3 + 124*k**2 + 520*k + 228.
-4*(k - 19)*(k + 3)*(2*k + 1)
Solve 2*s**2/5 + 900*s + 506250 = 0 for s.
-1125
Factor 3*g**5/5 - 12*g**4/5 + 48*g**2/5 - 48*g/5.
3*g*(g - 2)**3*(g + 2)/5
Factor -5*k**3 - 75*k**2.
-5*k**2*(k + 15)
Suppose -5*g**3/3 + 11*g**2/3 + 4*g/3 - 4 = 0. What is g?
-1, 6/5, 2
Factor -o**3 - 18*o**2 + 208*o.
-o*(o - 8)*(o + 26)
Factor 5*c**5/2 - 15*c**4 + 30*c**3 - 25*c**2 + 15*c/2.
5*c*(c - 3)*(c - 1)**3/2
Factor -y**3 - 366*y**2 - 729*y - 364.
-(y + 1)**2*(y + 364)
Find p, given that -50*p**3/7 + 520*p**2 - 2888*p/7 + 576/7 = 0.
2/5, 72
Factor -4*u**3/3 + 60*u**2 + 568*u/3 + 128.
-4*(u - 48)*(u + 1)*(u + 2)/3
Determine h, given that -58*h**3 + 1512*h**2 - 9906*h + 676 = 0.
2/29, 13
Factor v**4 + 4*v**3 - 122*v**2 - 252*v + 3969.
(v - 7)**2*(v + 9)**2
Factor 3*b**3/4 + 9*b**2 + 33*b/4.
3*b*(b + 1)*(b + 11)/4
Factor 3*l**2 - 291*l.
3*l*(l - 97)
Determine q, given that 5*q**5 - 35*q**4 + 50*q**3 + 10*q**2 - 55*q + 25 = 0.
-1, 1, 5
What is t in -605*t**3 + 6215*t**2 + 4760*t + 880 = 0?
-4/11, 11
Find r, given that 5*r**4 + 130*r**3 - 140*r**2 - 130*r + 135 = 0.
-27, -1, 1
Factor -j**2/2 - 92*j - 4232.
-(j + 92)**2/2
Determine c so that 2*c**2/13 + 46*c/13 + 84/13 = 0.
-21, -2
Determine l, given that 5*l**3 + 300*l**2 + 580*l = 0.
-58, -2, 0
Factor -8*z**4/3 - 329*z**3 - 13571*z**2 - 566497*z/3 - 68921.
-(z + 41)**3*(8*z + 3)/3
Solve -5*m**4 - 35*m**3 + 85*m**2 - 45*m = 0.
-9, 0, 1
Factor -5*u**5 + 185*u**4 - 350*u**3.
-5*u**3*(u - 35)*(u - 2)
Factor -3*d**2 + 3.
-3*(d - 1)*(d + 1)
Find z such that z**4/2 + 16*z**3 - 171*z**2 + 540*z - 1107/2 = 0.
-41, 3
Find y such that 2*y**4/13 - 54*y**3/13 - 68*y**2/13 + 336*y/13 = 0.
-3, 0, 2, 28
Factor -95*u**3 - 480*u**2 - 405*u - 20.
-5*(u + 1)*(u + 4)*(19*u + 1)
Let -2*b**3 - 14808*b**2 - 36546144*b - 30065294464 = 0. Calculate b.
-2468
Factor -1331*q**5 - 2057*q**4 - 858*q**3 - 140*q**2 - 8*q.
-q*(q + 1)*(11*q + 2)**3
Factor -2*o**3 - 6*o**2 - 4*o.
-2*o*(o + 1)*(o + 2)
Factor -z**2/3 - 2375*z/3 + 4754/3.
-(z - 2)*(z + 2377)/3
Solve g**4/7 + 30*g**3/7 - 253*g**2/7 + 222*g/7 = 0 for g.
-37, 0, 1, 6
Suppose v**3 - 209*v**2/2 - 1697*v/2 + 952 = 0. What is v?
-17/2, 1, 112
Solve -145*m**4/9 + 97*m**3/3 + 143*m**2/9 - 97*m/3 + 2/9 = 0 for m.
-1, 1/145, 1, 2
What is g in g**3/8 - 135*g**2/8 - 103*g/2 - 69/2 = 0?
-2, -1, 138
Suppose -q**4 - 23*q**3 - 18*q**2 + 92*q + 88 = 0. Calculate q.
-22, -2, -1, 2
Find t such that -2*t**3 + 4*t**2 + 26*t + 20 = 0.
-2, -1, 5
Suppose -3*p**3/5 + 44*p**2/5 + 17*p/5 - 6 = 0. Calculate p.
-1, 2/3, 15
Suppose q**5/2 - 2*q**4 - q**3/2 + 2*q**2 = 0. Calculate q.
-1, 0, 1, 4
Factor u**5 + 22*u**4 + 125*u**3 + 188*u**2 + 84*u.
u*(u + 1)**2*(u + 6)*(u + 14)
Solve 3*r**2/2 - 102*r + 585/2 = 0 for r.
3, 65
Factor 3*v**2/7 + 1251*v/7 - 1254/7.
3*(v - 1)*(v + 418)/7
Solve u**3 - 23*u**2 + 175*u - 441 = 0 for u.
7, 9
Factor 20*d**3/3 - 75*d**2 + 460*d/3 + 160.
5*(d - 8)*(d - 4)*(4*d + 3)/3
Find q such that 7*q**5/5 - 47*q**4/5 + 21*q**3/5 + 59*q**2/5 - 28*q/5 - 12/5 = 0.
-1, -2/7, 1, 6
Suppose -x**3 + 35*x**2 + 237*x + 369 = 0. What is x?
-3, 41
Let 2*z**3/9 - 4*z**2 - 2*z + 36 = 0. What is z?
-3, 3, 18
Factor -5*h**3 + 225*h**2 + 965*h + 735.
-5*(h - 49)*(h + 1)*(h + 3)
Factor x**5 - 7*x**3 - 6*x**2.
x**2*(x - 3)*(x + 1)*(x + 2)
Solve 2*k**5/15 + 14*k**4/15 + 14*k**3/15 - 46*k**2/15 - 16*k/15 + 32/15 = 0.
-4, -1, 1
Suppose -2*t**4/13 + 70*t**3/13 - 534*t**2/13 + 866*t/13 - 400/13 = 0. Calculate t.
1, 8, 25
Find n such that -4*n**2/3 - 428*n + 2584/3 = 0.
-323, 2
Suppose -2*j**3/3 + 710*j**2/3 - 5584*j/3 + 11104/3 = 0. What is j?
4, 347
Suppose 2*h**2/5 + 30044*h/5 + 112830242/5 = 0. What is h?
-7511
Let -2*p**5/5 + 3*p**4 - 41*p**3/5 + 51*p**2/5 - 29*p/5 + 6/5 = 0. Calculate p.
1/2, 1, 2, 3
Suppose k**4/3 + k**3 + 2*k**2/3 = 0. Calculate k.
-2, -1, 0
Factor -3*d**2 - 255*d - 252.
-3*(d + 1)*(d + 84)
Factor -174*o**3 - 1562*o**2 - 2400*o + 56.
-2*(o + 2)*(o + 7)*(87*o - 2)
Let -4*w**3/5 + 56*w**2/5 + 1004*w/5 - 1056/5 = 0. What is w?
-11, 1, 24
Factor 3*v**2/4 - 1821*v/4 + 1815/2.
3*(v - 605)*(v - 2)/4
Factor -2*z**3/3 - 182*z**2/3 - 524*z + 1296.
-2*(z - 2)*(z + 12)*(z + 81)/3
Let -169*r**5 - 832*r**4 - 660*r**3 - 144*r**2 = 0. Calculate r.
-4, -6/13, 0
Solve -5*o**2 - 30*o = 0.
-6, 0
Determine a, given that -2*a**2 - 276*a + 560 = 0.
-140, 2
Let 4*s**2 + 35912*s + 80604484 = 0. What is s?
-4489
Factor 5*t**5 - 95*t**4 + 495*t**3 - 965*t**2 + 800*t - 240.
5*(t - 12)*(t - 4)*(t - 1)**3
Factor -2*k**2 - 62*k.
-2*k*(k + 31)
Factor x**5/2 - 3*x**4/2 + 2*x**2.
x**2*(x - 2)**2*(x + 1)/2
Suppose -4*r**5 - 76*r**4 - 440*r**3 - 1064*r**2 - 1092*r - 396 = 0. What is r?
-11, -3, -1
Let -m**2/8 + 63*m/4 + 32 = 0. What is m?
-2, 128
Solve t**4/6 + 2*t**3/3 - 15*t**2/2 = 0.
-9, 0, 5
Factor -3*p**3/4 - 315*p**2 - 44100*p - 2058000.
-3*(p + 140)**3/4
Let -16*i**3 - 2*i**2 = 0. What is i?
-1/8, 0
Solve 2*p**3/11 - 870*p**2/11 - 2*p/11 + 870/11 = 0.
-1, 1, 435
Find u, given that u**4/6 + 2*u**3/3 + u**2/6 - u = 0.
-3, -2, 0, 1
Suppose 4*c**5 - 92*c**4 - 104*c**3 + 192*c**2 = 0. Calculate c.
-2, 0, 1, 24
Suppose 28*i**3 + 5816*i**2 - 1664*i = 0. Calculate i.
-208, 0, 2/7
Factor 5*h**2 - 4010*h + 804005.
5*(h - 401)**2
Solve 2*z**4/9 + 10*z**3/9 + 2*z**2/3 - 2*z = 0 for z.
-3, 0, 1
Solve -2*g**5/5 - 2*g**4/5 + 26*g**3/5 + 2*g**2/5 - 24*g/5 = 0 for g.
-4, -1, 0, 1, 3
Solve 5*l**3 + 65*l**2 + 195*l + 135 = 0.
-9, -3, -1
Factor -3*k**4 - 285*k**3 - 7164*k**2 - 17940*k + 25392.
-3*(k - 1)*(k + 4)*(k + 46)**2
Factor -3*f**4 - 126*f**3 - 471*f**2 - 576*f - 228.
-3*(f + 1)**2*(f + 2)*(f + 38)
Factor 5*f**4 - 65*f**3 - 775*f**2 - 1335*f - 630.
5*(f - 21)*(f + 1)**2*(f + 6)
Let 10*u**5 - 185*u**4/3 + 395*u**3/3 - 385*u**2/3 + 175*u/3 - 10 = 0. What is u?
1/2, 2/3, 1, 3
Factor -w**3/5 + 39*w**2 - 2535*w + 54925.
-(w - 65)**3/5
Factor 2*i**3 - 26*i**2 + 92*i - 96.
2*(i - 8)*(i - 3)*(i - 2)
Factor t**2/7 - 83*t/7 + 390/7.
(t - 78)*(t - 5)/7
Factor -2*d**3/13 + 34*d**2/13 + 874*d/13 - 15162/13.
-2*(d - 19)**2*(d + 21)/13
Factor 2*l**3/7 + 8*l**2 - 58*l/7.
2*l*(l - 1)*(l + 29)/7
Determine l, given that -10*l**4 - 55*l**3 - 105*l**2 - 80*l - 20 = 0.
-2, -1, -1/2
Factor v**3/7 + 3*v**2/7 - 4*v/7.
v*(v - 1)*(v + 4)/7
Fact