 33*w**3 + 129*w**2 - 207*w + 108.
3*(w - 4)*(w - 3)**2*(w - 1)
Factor 13*s**2 + 9*s - 4.
(s + 1)*(13*s - 4)
Factor 21*x**2 + 3*x.
3*x*(7*x + 1)
Suppose w**3/3 + 167*w**2/3 - w/3 - 167/3 = 0. What is w?
-167, -1, 1
Find x, given that -12*x**5 - 4*x**4 + 12*x**3 + 4*x**2 = 0.
-1, -1/3, 0, 1
Factor 9*p**5/5 + 12*p**4 + 144*p**3/5 + 144*p**2/5 + 48*p/5.
3*p*(p + 2)**3*(3*p + 2)/5
What is y in -y**3/3 - 4*y**2/3 + 5*y/3 = 0?
-5, 0, 1
Determine m, given that -2*m**5/9 - 170*m**4/3 - 3584*m**3 + 32768*m**2/9 = 0.
-128, 0, 1
Factor 2*l**3 - 269*l**2 - 407*l - 136.
(l - 136)*(l + 1)*(2*l + 1)
Factor -2*n**5/9 + 8*n**4/9 + 70*n**3/9 - 100*n**2/3.
-2*n**2*(n - 5)**2*(n + 6)/9
Factor -2*c**3/9 - 10*c**2/9 + 4*c/3.
-2*c*(c - 1)*(c + 6)/9
Find l such that 10*l**5 + 756*l**4 + 19196*l**3 + 167200*l**2 + 86250*l - 62500 = 0.
-25, -1, 2/5
Factor -3*r**3 - 17913*r**2 - 26730672*r + 26748588.
-3*(r - 1)*(r + 2986)**2
Suppose x**3/9 - 212*x**2 + 302735*x/3 + 1824050/9 = 0. Calculate x.
-2, 955
Determine v so that 5*v**5 + 35*v**4 + 55*v**3 + 25*v**2 = 0.
-5, -1, 0
Find r, given that -2738*r**2 - 3552*r - 1152 = 0.
-24/37
Factor u**3 - 42*u**2 - 4*u + 168.
(u - 42)*(u - 2)*(u + 2)
Let -147*h**5 - 1449*h**4 + 2064*h**3 + 17112*h**2/7 + 5328*h/7 + 528/7 = 0. What is h?
-11, -2/7, 2
Suppose 2*o**3/5 + 38*o**2/5 - 2752*o/5 + 26112/5 = 0. What is o?
-51, 16
Factor 2*m**2/3 + 3844*m/3 + 1847042/3.
2*(m + 961)**2/3
Determine t, given that -2*t**5/11 - 2*t**4 - 32*t**3/11 + 152*t**2/11 + 160*t/11 - 256/11 = 0.
-8, -4, -2, 1, 2
Factor -4*a**3 + 264*a**2 + 4060*a + 3792.
-4*(a - 79)*(a + 1)*(a + 12)
Solve x**3/3 - 5*x**2/3 + x + 3 = 0.
-1, 3
Solve 5*v**4 + 175*v**3 - 15*v**2 - 535*v - 350 = 0 for v.
-35, -1, 2
Determine f, given that 9*f**3 - 10671*f**2 + 17766*f - 7104 = 0.
2/3, 1, 1184
Factor 5*o**5 + 55*o**4 + 175*o**3 + 125*o**2.
5*o**2*(o + 1)*(o + 5)**2
Factor a**4/4 + 185*a**3/4 + 549*a**2/4 + 547*a/4 + 91/2.
(a + 1)**3*(a + 182)/4
Factor -3*x**2/4 + 711*x/2 - 168507/4.
-3*(x - 237)**2/4
Factor 2*o**2/23 - 68*o/23 + 66/23.
2*(o - 33)*(o - 1)/23
Determine q so that -5*q**3 - 10*q**2 + 320*q - 800 = 0.
-10, 4
Solve -4*h**3 - 8*h**2 + 44*h + 48 = 0 for h.
-4, -1, 3
Solve -2*f**2/11 + 68*f/11 + 144/11 = 0 for f.
-2, 36
What is p in -44*p**5/9 - 68*p**4/9 + 680*p**3/9 - 496*p**2/9 - 160*p/3 = 0?
-5, -6/11, 0, 2
Find y such that y**3/6 - 9*y**2/2 + 25*y/3 = 0.
0, 2, 25
Factor 2*d**4/3 - 2*d**3/3 - 12*d**2 + 104*d/3 - 80/3.
2*(d - 2)**3*(d + 5)/3
Find q, given that 3*q**4/2 - 9*q**3 + 27*q**2/2 - 6*q = 0.
0, 1, 4
Solve -3*l**5 - 108*l**4 - 258*l**3 + 26724*l**2 + 262701*l + 235824 = 0.
-17, -1, 16
Suppose t**5/9 - 7*t**4/9 + 5*t**3/3 - t**2 = 0. Calculate t.
0, 1, 3
What is g in g**3/6 + 173*g**2 + 690*g + 2068/3 = 0?
-1034, -2
Factor 3*m**4 + 24*m**3 - 3*m**2 - 24*m.
3*m*(m - 1)*(m + 1)*(m + 8)
Solve 7*l**3/5 - 173*l**2/5 - 862*l/5 - 232/5 = 0 for l.
-4, -2/7, 29
Factor -3*f**4 - 3*f**3 + 12*f**2 + 12*f.
-3*f*(f - 2)*(f + 1)*(f + 2)
Factor -5*q**4 - 140*q**3 + 465*q**2.
-5*q**2*(q - 3)*(q + 31)
Suppose -9*s**4 + 6*s**3 + 21*s**2 + 6*s = 0. What is s?
-1, -1/3, 0, 2
Factor -r**3/3 - 4*r**2/3 - 5*r/3 - 2/3.
-(r + 1)**2*(r + 2)/3
Find s, given that s**3/4 - 5*s**2/2 + 4*s = 0.
0, 2, 8
Suppose 2*x**2/7 - 372*x/7 + 370/7 = 0. Calculate x.
1, 185
What is p in -5*p**5 - 73*p**4 - 240*p**3 - 92*p**2 + 80*p = 0?
-10, -4, -1, 0, 2/5
Suppose 2*k**2/5 - 34*k/5 - 76/5 = 0. What is k?
-2, 19
Factor -w**2/4 - 13*w - 51/4.
-(w + 1)*(w + 51)/4
Find b such that -2*b**3 + 14074*b**2/7 + 10064*b/7 - 4024/7 = 0.
-1, 2/7, 1006
Find n, given that 5*n**2 + 520*n + 515 = 0.
-103, -1
Factor -k**5 + 6*k**4 - 2*k**3 - 20*k**2 + 27*k - 10.
-(k - 5)*(k - 1)**3*(k + 2)
Factor u**3 + 606*u**2 - u - 606.
(u - 1)*(u + 1)*(u + 606)
Suppose -5*c**3 + 85*c**2 + 205*c - 285 = 0. What is c?
-3, 1, 19
Let 2*l**5/9 + 146*l**4/9 + 2870*l**3/9 + 7342*l**2/9 - 560*l/9 - 9800/9 = 0. What is l?
-35, -2, 1
Determine l so that -3*l**3 + 297*l**2 + 5475*l + 5175 = 0.
-15, -1, 115
Factor -5*v**5 + 135*v**4 - 130*v**3.
-5*v**3*(v - 26)*(v - 1)
Let 5*o**4 + 855*o**3 = 0. Calculate o.
-171, 0
Factor 4*h**5/9 + 16*h**4/9 + 16*h**3/9 - 8*h**2/9 - 20*h/9 - 8/9.
4*(h - 1)*(h + 1)**3*(h + 2)/9
Suppose m**2/2 + 206*m + 1227/2 = 0. Calculate m.
-409, -3
Let l**2/9 + 37*l/9 - 38/9 = 0. What is l?
-38, 1
Factor -3*v**3 + 17*v**2 - 10*v.
-v*(v - 5)*(3*v - 2)
Suppose -l**5 + 2*l**3 - l = 0. What is l?
-1, 0, 1
Solve 2*u**5/9 - 16*u**4/9 - 10*u**3/9 + 376*u**2/9 - 992*u/9 + 640/9 = 0.
-5, 1, 4
Factor r**5/4 - r**4/2 - 6*r**3 + 9*r**2/2 + 135*r/4.
r*(r - 5)*(r - 3)*(r + 3)**2/4
Factor -k**3/3 + 9*k**2 - 72*k + 144.
-(k - 12)**2*(k - 3)/3
Find w, given that -2*w**2/15 - 4972*w/5 - 9270294/5 = 0.
-3729
Suppose -17*x**5/8 + 219*x**4/8 - 395*x**3/4 + 265*x**2/2 - 51*x - 8 = 0. Calculate x.
-2/17, 1, 2, 8
Factor 2*b**3/3 + 13*b**2/3 - 14*b + 9.
(b - 1)*(b + 9)*(2*b - 3)/3
Determine m so that -5*m**4/7 - 88*m**3/7 - 129*m**2/7 - 2*m + 32/7 = 0.
-16, -1, 2/5
Determine y so that -86*y**4 + 170*y**3 + 90*y**2 - 170*y - 4 = 0.
-1, -1/43, 1, 2
Solve 3*t**4 + 189*t**3 - 789*t**2 + 999*t - 402 = 0 for t.
-67, 1, 2
Factor -24*n**2 - 52*n - 28.
-4*(n + 1)*(6*n + 7)
Factor -i**2/2 - 23*i/2 - 11.
-(i + 1)*(i + 22)/2
Factor 5*d**4 + 2060*d**3 + 214210*d**2 + 414100*d - 630375.
5*(d - 1)*(d + 3)*(d + 205)**2
Factor -10975969*a**3 - 10969343*a**2 + 6625*a - 1.
-(a + 1)*(3313*a - 1)**2
Determine w, given that -w**3/7 + 24*w**2/7 - 45*w/7 + 22/7 = 0.
1, 22
What is i in 2*i**4/13 - 12*i**3/13 + 24*i**2/13 - 16*i/13 = 0?
0, 2
Find u, given that 2*u**5/13 - 16*u**4/13 + 38*u**3/13 - 24*u**2/13 = 0.
0, 1, 3, 4
Factor c**3/4 - 5*c**2/2 - 37*c/4 - 13/2.
(c - 13)*(c + 1)*(c + 2)/4
Factor 5*c**5 - 10*c**3 + 5*c.
5*c*(c - 1)**2*(c + 1)**2
Suppose -6*h**3 - 709*h**2 - 820*h - 117 = 0. What is h?
-117, -1, -1/6
Suppose 5*n**5/2 - 36*n**4 + 325*n**3/2 - 219*n**2 - 18*n + 108 = 0. Calculate n.
-3/5, 1, 2, 6
Solve -5*k**2 + 285*k + 8190 = 0 for k.
-21, 78
Factor -3*x**2/4 + 1617*x/4.
-3*x*(x - 539)/4
Factor -5*x**5 - 145*x**4 - 1250*x**3 - 2930*x**2 - 2665*x - 845.
-5*(x + 1)**3*(x + 13)**2
Suppose 2*r**2/13 + 12484*r/13 + 19481282/13 = 0. What is r?
-3121
What is j in 3*j**4 - 255*j**3 + 1686*j**2 - 3780*j + 2808 = 0?
2, 3, 78
Factor -3*g**2/2 - 15*g/2 + 9.
-3*(g - 1)*(g + 6)/2
Factor 3*m**3 - 201*m**2 - 411*m - 207.
3*(m - 69)*(m + 1)**2
Determine r so that -r**3/3 + 346*r**2/3 - 29929*r/3 = 0.
0, 173
Suppose -2*r**2/3 - 152*r/3 - 50 = 0. What is r?
-75, -1
Solve -5*r**5 - 46*r**4 - 64*r**3 + 94*r**2 + 21*r = 0 for r.
-7, -3, -1/5, 0, 1
Find n such that 2*n**4/13 + 4*n**3/13 - 2*n**2/13 - 4*n/13 = 0.
-2, -1, 0, 1
Solve -2*f**3/3 + 34*f**2/3 + 140*f/3 - 400/3 = 0 for f.
-5, 2, 20
Solve -2*d**2/3 + 70*d/3 + 148/3 = 0.
-2, 37
Factor -5*g**4 + 2400*g**3 - 432000*g**2 + 34560000*g - 1036800000.
-5*(g - 120)**4
Factor -6*h**3 + 80*h**2 - 238*h - 196.
-2*(h - 7)**2*(3*h + 2)
Solve -2*c**3/7 - 114*c**2 + 3224*c/7 = 0.
-403, 0, 4
Factor 3*j**2/2 - 39*j/2.
3*j*(j - 13)/2
Find h such that 9*h**5/5 - 663*h**4/5 + 1066*h**3/5 + 204*h**2 - 856*h/5 - 576/5 = 0.
-2/3, 1, 2, 72
Factor 8*q**4 + 34*q**3 + 48*q**2 + 26*q + 4.
2*(q + 1)**2*(q + 2)*(4*q + 1)
Solve -2*x**3/7 - 64*x**2/7 + 136*x/7 = 0 for x.
-34, 0, 2
Suppose 2*w**2/7 - 16*w/7 + 30/7 = 0. Calculate w.
3, 5
Factor -v**2/2 - 204*v - 20808.
-(v + 204)**2/2
Determine h so that -2*h**2/7 - 4*h + 64/7 = 0.
-16, 2
Solve -3*g**4/2 - 51*g**3/2 - 63*g**2 = 0.
-14, -3, 0
Determine l, given that l**2/3 + 5*l - 108 = 0.
-27, 12
Find v, given that 5*v**5/2 - 67*v**4/2 + 201*v**3/2 - 5*v**2/2 - 103*v + 36 = 0.
-1, 2/5, 1, 4, 9
Factor -g**3/4 + 35*g**2/4.
-g**2*(g - 35)/4
Factor 52*m**3 - 96*m**2 - 172*m - 24.
4*(m - 3)*(m + 1)*(13*m + 2)
Factor -3*o**2 - 69*o - 66.
-3*(o + 1)*(o + 22)
Factor 5*r**4 - 10*r**3.
5*r**3*(r - 2)
Factor x**2/6 - 13*x/3 + 20.
(x - 20)*(x - 6)/6
Let -7*k**4/10 - 9*k**3/5 = 0. What is k?
-18/7, 0
Determine c, given that -c**5/2 - 10*c**4 - 69*c**3/2 - 41*c**2 - 16*c = 0.
-16, -2, -1, 0
Find f, given that 18*f**4 - 176*f**3 + 554*f**2 - 516*f - 144 = 0.
-2/9, 3, 4
Let -4*v**5/3 + 1080*v**4 - 215436*v**3 - 1321920*v**2 - 1997568*v = 0. Calculate v.
-3, 0, 408
Determine m, given that -2*m**2 - 136*m - 134 = 0.
-67,