16*n**2 - 8*n = 0.
-2, -1, 0
Find c, given that 5*c**3 + 15*c**2 - 45*c - 135 = 0.
-3, 3
Factor -5*t**4 + 54*t**3 - 79*t**2 - 18*t.
-t*(t - 9)*(t - 2)*(5*t + 1)
Let -2*y**5 - 48*y**4 - 384*y**3 - 1024*y**2 = 0. Calculate y.
-8, 0
Determine a so that -a**2/3 - 164*a/3 = 0.
-164, 0
Solve -2*n**3 + 2*n**2 + 4*n = 0 for n.
-1, 0, 2
Find g, given that -2*g**4/13 - 54*g**3/13 + 76*g**2/13 + 576*g/13 + 448/13 = 0.
-28, -2, -1, 4
Factor k**2 + 5*k - 6.
(k - 1)*(k + 6)
What is i in 4*i**2 + 364*i + 360 = 0?
-90, -1
What is q in -q**4/3 + 13*q**3 + 41*q**2 + 125*q/3 + 14 = 0?
-1, 42
Suppose -3*s**4 + 27*s**2 - 12*s - 36 = 0. Calculate s.
-3, -1, 2
Let -90*o**2 - 1353*o - 45 = 0. Calculate o.
-15, -1/30
Factor 2*i**2/3 + 5318*i.
2*i*(i + 7977)/3
Factor 2*j**3 + 30*j**2 - 386*j - 414.
2*(j - 9)*(j + 1)*(j + 23)
Find w such that w**5/6 + 2*w**4/3 + 5*w**3/6 + w**2/3 = 0.
-2, -1, 0
Determine x, given that 2*x**3/9 + 1840*x**2/9 - 3686*x/9 + 1844/9 = 0.
-922, 1
Factor c**2 - 47*c - 48.
(c - 48)*(c + 1)
Factor -2*q**2/15 - 146*q/15 + 616/15.
-2*(q - 4)*(q + 77)/15
Factor 3*g**3 - 30*g**2 - 897*g.
3*g*(g - 23)*(g + 13)
Suppose -2*x**2/3 - 198*x - 1164 = 0. What is x?
-291, -6
Factor -d**4/7 + 31*d**3/7 - 25*d**2 - 207*d/7.
-d*(d - 23)*(d - 9)*(d + 1)/7
Determine m, given that -185*m**3 + 30165*m**2 - 1630*m = 0.
0, 2/37, 163
What is m in 13*m**3 - 22*m**2 + 5*m + 4 = 0?
-4/13, 1
Factor -3*m**2/4 - 789*m/4 + 795/2.
-3*(m - 2)*(m + 265)/4
Solve -5*j**4 - 875*j**3 - 3395*j**2 + 4275*j = 0 for j.
-171, -5, 0, 1
Determine m, given that 2*m**5 - 36*m**4 + 118*m**3 + 156*m**2 = 0.
-1, 0, 6, 13
Factor -3*n**4 - 12*n**3 - 15*n**2 - 6*n.
-3*n*(n + 1)**2*(n + 2)
What is b in -2*b**4/11 + 36*b**3/11 - 32*b**2/11 - 36*b/11 + 34/11 = 0?
-1, 1, 17
Solve 2*s**3/7 + 50*s**2/7 - 52*s/7 = 0.
-26, 0, 1
Suppose -8*n**4/7 + 26*n**3/7 + 2*n**2/7 - 26*n/7 + 6/7 = 0. Calculate n.
-1, 1/4, 1, 3
Factor u**4/3 + 8*u**3/3 + 5*u**2 - 8*u/3 - 16/3.
(u - 1)*(u + 1)*(u + 4)**2/3
Let 3*v**2 + 9*v - 12 = 0. Calculate v.
-4, 1
Factor -4*r**3 + 360*r**2 - 10800*r + 108000.
-4*(r - 30)**3
Suppose 2*j**3/3 - 7298*j**2/3 + 6653950*j/3 + 6661250/3 = 0. What is j?
-1, 1825
Factor -c**2 + 58*c - 400.
-(c - 50)*(c - 8)
Solve n**5/4 + 13*n**4/4 + 47*n**3/4 + 23*n**2/4 - 12*n - 9 = 0 for n.
-6, -1, 1
Factor -2*p**2/7 - 204*p/7 - 5202/7.
-2*(p + 51)**2/7
Suppose 2*p**2/7 + 512*p/7 + 1016/7 = 0. What is p?
-254, -2
Factor -2*y**2/13 + 94*y/13 - 92/13.
-2*(y - 46)*(y - 1)/13
Factor -3*v**2/5 - 48*v/5.
-3*v*(v + 16)/5
Factor 2*y**2/5 - 2018*y/5 - 404.
2*(y - 1010)*(y + 1)/5
Factor 4*c**3/5 - 8*c**2/5 - 204*c/5 - 432/5.
4*(c - 9)*(c + 3)*(c + 4)/5
Factor 726*p**4 + 728*p**3 + 2*p**2.
2*p**2*(p + 1)*(363*p + 1)
Determine c, given that -3*c**4 + 27*c**3 - 33*c**2 - 63*c = 0.
-1, 0, 3, 7
Factor -4*f**4 - 4*f**3 + 12*f**2 + 4*f - 8.
-4*(f - 1)**2*(f + 1)*(f + 2)
Let -3*a**2 - 30*a - 75 = 0. Calculate a.
-5
Factor -2*v**5/5 - 6*v**4/5 + 18*v**3/5 + 54*v**2/5.
-2*v**2*(v - 3)*(v + 3)**2/5
Factor o**4 - 131*o**3 + 5676*o**2 - 79376*o - 85184.
(o - 44)**3*(o + 1)
Factor g**3/3 + 245*g**2/3 - 3073*g/3 + 2827/3.
(g - 11)*(g - 1)*(g + 257)/3
Suppose 2*c**3/5 - 152*c**2/5 + 546*c + 6084/5 = 0. What is c?
-2, 39
Let a**4/2 - 11*a**3 + 28*a**2 + 11*a - 57/2 = 0. What is a?
-1, 1, 3, 19
Factor 2*x**4/13 + 2*x**3/13 - 8*x**2/13 - 8*x/13.
2*x*(x - 2)*(x + 1)*(x + 2)/13
Let 3*z**4 + 6*z**3 - 12*z**2 - 6*z + 9 = 0. What is z?
-3, -1, 1
Suppose -3*d**2 - 339*d = 0. Calculate d.
-113, 0
Factor -t**4/3 + t**3 + t**2 - 7*t/3 - 2.
-(t - 3)*(t - 2)*(t + 1)**2/3
Factor x**2/4 - 9*x/4 - 28.
(x - 16)*(x + 7)/4
Suppose m**2/4 - 13*m + 153 = 0. Calculate m.
18, 34
Factor -2*u**5/7 + 1044*u**4/7 - 135194*u**3/7 - 273528*u**2/7 - 137288*u/7.
-2*u*(u - 262)**2*(u + 1)**2/7
Factor 2*v**4/5 - 28*v**3/5 + 106*v**2/5 + 8*v - 120.
2*(v - 6)*(v - 5)**2*(v + 2)/5
Suppose 2*o**3/11 - 42*o**2/11 + 112*o/11 - 72/11 = 0. What is o?
1, 2, 18
Factor 15*d**4 - 141*d**3 + 414*d**2 - 444*d + 120.
3*(d - 5)*(d - 2)**2*(5*d - 2)
Factor 2*n**3/9 - 32*n**2/9 + 70*n/9 + 104/9.
2*(n - 13)*(n - 4)*(n + 1)/9
Let w**4 + 95*w**3 + 2976*w**2 + 29696*w - 32768 = 0. Calculate w.
-32, 1
Find y, given that 45*y**4/2 + 647*y**3/2 + 107*y**2 - 166*y + 28 = 0.
-14, -1, 2/9, 2/5
Factor -2*k**4 + 8*k**3 + 10*k**2.
-2*k**2*(k - 5)*(k + 1)
Suppose 3*q**5 - 24*q**4 + 48*q**3 = 0. Calculate q.
0, 4
Factor 4*l**2 + 279*l - 70.
(l + 70)*(4*l - 1)
Determine r, given that -4*r**3 + 76*r**2 - 200*r + 128 = 0.
1, 2, 16
Solve -2*p**2/9 + 10484*p/9 - 13739282/9 = 0 for p.
2621
Suppose -2*p**2/3 - 16*p/3 - 32/3 = 0. Calculate p.
-4
Factor 5*z**4 - 45*z**3 - 425*z**2 - 375*z.
5*z*(z - 15)*(z + 1)*(z + 5)
Let o**4/2 + 19*o**3/2 + 35*o**2/2 + 17*o/2 = 0. Calculate o.
-17, -1, 0
Suppose 5*h**4 - 45*h**3 - 310*h**2 - 540*h - 280 = 0. Calculate h.
-2, -1, 14
What is h in -3*h**2/4 - 14373*h/2 - 68861043/4 = 0?
-4791
Find g, given that 1529045*g**3 - 4598195*g**2 + 33200*g - 60 = 0.
2/553, 3
Let -5*i**5/4 - 5*i**4/4 + 15*i**3/4 + 5*i**2/4 - 5*i/2 = 0. Calculate i.
-2, -1, 0, 1
Factor 2*k**4/11 - 114*k**3/11 + 2268*k**2/11 - 17496*k/11 + 34992/11.
2*(k - 18)**3*(k - 3)/11
Factor 2*w**4/9 + 2*w**3/9 - 14*w**2/9 - 26*w/9 - 4/3.
2*(w - 3)*(w + 1)**2*(w + 2)/9
Find p such that 4*p**5/3 + 664*p**4/3 + 36292*p**3/3 + 627872*p**2/3 - 1367296*p/3 + 702464/3 = 0.
-56, 1
Solve 7*u**4/9 - 17*u**3/3 - 497*u**2/9 - 103*u/3 + 130/9 = 0 for u.
-5, -1, 2/7, 13
Find s, given that -5*s**3 - 155*s**2 - 150*s = 0.
-30, -1, 0
What is p in -p**5 + 91*p**4/4 + 131*p**3/4 - 2241*p**2/4 - 5535*p/4 - 621/2 = 0?
-3, -1/4, 6, 23
Solve -10*m**4 - 83*m**3 - 154*m**2 - 99*m - 18 = 0 for m.
-6, -1, -3/10
Factor -3*n**4/5 - 9*n**3/5 + 12*n/5.
-3*n*(n - 1)*(n + 2)**2/5
Let 86*q**4/7 - 20*q**3/7 = 0. What is q?
0, 10/43
Factor -3*x**2/7 + 162*x/7 + 48.
-3*(x - 56)*(x + 2)/7
Factor v**2/7 + 2*v/7.
v*(v + 2)/7
Factor -h**5/3 - 47*h**4/3 - 658*h**3/3 - 1190*h**2/3 + 23987*h/3 + 24565/3.
-(h - 5)*(h + 1)*(h + 17)**3/3
Suppose 2*n**2/7 - 14*n + 1056/7 = 0. What is n?
16, 33
Factor -4*t**5 + 24*t**3 + 32*t**2 + 12*t.
-4*t*(t - 3)*(t + 1)**3
Factor 2*z**2/7 + 6*z/7 - 20/7.
2*(z - 2)*(z + 5)/7
Solve 2*d**2 - 70*d - 72 = 0 for d.
-1, 36
Suppose -3*x**3 + 9810*x**2 - 10692900*x + 3885087000 = 0. What is x?
1090
Solve 660*w**3 + 564*w**2 - 93*w + 3 = 0.
-1, 1/22, 1/10
Determine m, given that 20*m**3/7 - 2036*m**2/7 - 408*m/7 = 0.
-1/5, 0, 102
Factor 3*q**2/4 + 78*q + 441.
3*(q + 6)*(q + 98)/4
Factor 6*c**2 + 9*c.
3*c*(2*c + 3)
Factor p**2 - 249*p - 250.
(p - 250)*(p + 1)
Let -24*d**5/7 - 18*d**4 - 222*d**3/7 - 144*d**2/7 - 24*d/7 = 0. What is d?
-2, -1, -1/4, 0
Find k, given that 10*k**3 - 565*k**2 - 575*k = 0.
-1, 0, 115/2
Solve -4*b**3/5 + 19*b**2/5 + 29*b/5 + 6/5 = 0 for b.
-1, -1/4, 6
Factor 2*i**3/5 + 24*i**2/5 - 2*i/5 - 24/5.
2*(i - 1)*(i + 1)*(i + 12)/5
Let -5*g**4/3 - 614*g**3/9 - 228*g**2 - 440*g/3 + 896/9 = 0. What is g?
-112/3, -2, 2/5
Find u such that -8*u**3/5 - 34*u**2/5 = 0.
-17/4, 0
Determine g so that -3*g**2/4 + 729*g/2 + 1461/4 = 0.
-1, 487
Find k, given that -5*k**5/2 + 10*k**4 + 45*k**3 + 50*k**2 + 35*k/2 = 0.
-1, 0, 7
Find x, given that 5*x**5 - 1170*x**4 + 1160*x**3 + 1170*x**2 - 1165*x = 0.
-1, 0, 1, 233
Factor g**2/5 - 8*g + 111/5.
(g - 37)*(g - 3)/5
Factor -3*t**3 - 3*t**2 + 63*t + 135.
-3*(t - 5)*(t + 3)**2
Determine i, given that i**5 + 2*i**4 - 3*i**3 = 0.
-3, 0, 1
Factor 4*y**4 + 216*y**3 - 2060*y**2 - 4752*y - 2480.
4*(y - 10)*(y + 1)**2*(y + 62)
Factor -2*g**3 - 32*g**2 - 118*g - 88.
-2*(g + 1)*(g + 4)*(g + 11)
Let 2*m**3/7 - 12*m**2/7 - 270*m/7 = 0. What is m?
-9, 0, 15
Suppose -2*j**2 - 14*j - 24 = 0. What is j?
-4, -3
Factor -10*f**3/3 - 494*f**2/3 - 196*f/3.
-2*f*(f + 49)*(5*f + 2)/3
Suppose 6*s**3/5 + 3*s**2/5 - 3*s/5 = 0. Calculate s.
-1, 0, 1/2
Determine s so that -5*s**5 + 10*s**4 + 445*s**3 - 450*s**2 = 0.
-9, 0, 1, 10
Factor -2*u**3 + 42*u**2 - 40*u.
-2*u*(u - 20)*(u - 1)
What is h in -4*h**2 - 984*h - 60516 = 0?
-123
Factor -3*f**4 - 3*f**3 + 24*f**2 + 36*f.
-3*f*(f - 3)*(f + 2)**2
Factor -4*m**5 + 33*m**4 - 80*m**3 + 82*m**2 - 36*m + 5.
-(m - 5)*(m - 1)**3*(4*m - 1)
What is s in -3*s**2/5 + 183*s/5 + 186/5 = 0?
-1, 62
Factor -l**2 + 67*l + 68.
-(l - 68)*(l + 1)
Factor -3*c**4 - 84*c**3 - 585*c**