 2, 3
Factor -6*k**4 + 11*k**3 - 5*k**2.
-k**2*(k - 1)*(6*k - 5)
Factor m**3/3 - 10*m**2/3 + 3*m.
m*(m - 9)*(m - 1)/3
Factor -g**4/4 + g**3/4 + g**2/4 - g/4.
-g*(g - 1)**2*(g + 1)/4
Factor u**4/4 + 17*u**3 + 1155*u**2/4 - 17*u - 289.
(u - 1)*(u + 1)*(u + 34)**2/4
Let -66*w**3 + 124*w**2 - 70*w + 12 = 0. What is w?
1/3, 6/11, 1
Find l such that -3*l**4/4 - 27*l**3/4 + 15*l**2/2 = 0.
-10, 0, 1
Factor 2*q**3/3 + 16*q**2/3 + 26*q/3 + 4.
2*(q + 1)**2*(q + 6)/3
Suppose 4*z**4/5 + 56*z**3/5 + 116*z**2/5 - 704*z/5 - 768/5 = 0. What is z?
-8, -1, 3
Factor 5*r**3 - 10*r**2 - 45*r + 90.
5*(r - 3)*(r - 2)*(r + 3)
What is h in 4*h**2/5 + 2572*h/5 = 0?
-643, 0
Factor 2*p**3 + 2930*p**2 + 1071646*p - 1074578.
2*(p - 1)*(p + 733)**2
Solve -z**4/2 - z**3 + 4*z**2 = 0.
-4, 0, 2
Determine m so that -m**2 - 173*m - 342 = 0.
-171, -2
Find o, given that 4*o**2/7 + 1104*o/7 = 0.
-276, 0
What is q in 5*q**5/3 + 383*q**4/3 + 7061*q**3/3 - 3497*q**2 + 1014*q = 0?
-39, 0, 2/5, 1
Solve -10*a**4/9 - 178*a**3/9 - 218*a**2/3 - 382*a/9 + 104/9 = 0.
-13, -4, -1, 1/5
Factor 3*q**3 + 441*q**2 - 1344*q + 900.
3*(q - 2)*(q - 1)*(q + 150)
Factor -14*l**3/3 + 8*l**2 + 50*l/3 + 4.
-2*(l - 3)*(l + 1)*(7*l + 2)/3
What is m in -105*m**2 + 132*m - 36 = 0?
2/5, 6/7
Factor -b**2 + 10*b - 16.
-(b - 8)*(b - 2)
Suppose 64*j**4 - 96*j**3 - 92*j**2 + 60*j - 8 = 0. What is j?
-1, 1/4, 2
Factor 7*f**4/6 - 5*f**3/6 - f**2/3.
f**2*(f - 1)*(7*f + 2)/6
Factor -2*m**4 - 8*m**3 - 2*m**2 + 12*m.
-2*m*(m - 1)*(m + 2)*(m + 3)
Factor 5*k**2 - 460*k + 10580.
5*(k - 46)**2
Let -5*k**2/4 - 165*k/2 = 0. What is k?
-66, 0
Determine f, given that -4*f**3 + 136*f**2 - 492*f + 360 = 0.
1, 3, 30
Factor -2*v**2/5 + 268*v/5 - 8978/5.
-2*(v - 67)**2/5
Factor 2*y**3/3 + 2*y**2 - 2*y/3 - 2.
2*(y - 1)*(y + 1)*(y + 3)/3
Factor -4*j**3/9 + 52*j**2/9 - 188*j/9 + 140/9.
-4*(j - 7)*(j - 5)*(j - 1)/9
Suppose -2*h**3/13 + 6*h**2 - 288*h/13 + 280/13 = 0. What is h?
2, 35
Factor 2*d**2 + 50*d + 132.
2*(d + 3)*(d + 22)
Factor 2*j**2/11 - 24*j/11 - 90/11.
2*(j - 15)*(j + 3)/11
Factor 5*j**4 + 380*j**3 - 1170*j**2 - 638820*j - 12160395.
5*(j - 41)*(j + 39)**3
Let 4*n**3/3 + 32*n**2/3 - 124*n/3 + 88/3 = 0. Calculate n.
-11, 1, 2
Let 5*j**3 - 10*j**2 - 500*j + 1000 = 0. What is j?
-10, 2, 10
Let 2*y**3/5 - 338*y**2/5 - 68*y = 0. What is y?
-1, 0, 170
Find p, given that -5*p**5 + 635*p**4 - 30690*p**3 + 682310*p**2 - 6405065*p + 13852815 = 0.
3, 31
Suppose -2*y**5/13 + 126*y**4/13 + 20*y**3 + 4*y**2/13 - 258*y/13 - 10 = 0. What is y?
-1, 1, 65
Determine k, given that 3*k**2/8 - 51*k/8 - 63 = 0.
-7, 24
Factor -g**2 - 23*g - 132.
-(g + 11)*(g + 12)
Solve -3*d**5/2 - 45*d**4/2 - 141*d**3/2 - 87*d**2/2 + 72*d + 66 = 0 for d.
-11, -2, -1, 1
Factor -12*o**4 - 27*o**3 - 6*o**2.
-3*o**2*(o + 2)*(4*o + 1)
Determine u, given that -2*u**3/17 - 78*u**2/17 - 1014*u/17 - 4394/17 = 0.
-13
What is r in 21*r**5 + 85*r**4 - 397*r**3 + 267*r**2 + 52*r - 28 = 0?
-7, -1/3, 2/7, 1, 2
Factor -2*m**5 - 72*m**4 - 840*m**3 - 3136*m**2.
-2*m**2*(m + 8)*(m + 14)**2
Let 5*u**3 + 235*u**2 + 880*u + 860 = 0. What is u?
-43, -2
Factor -o**3/4 - 72*o**2 - 20445*o/4 + 21025/2.
-(o - 2)*(o + 145)**2/4
Factor -7*y**3/4 - 27*y**2/2 - 33*y/4 + 7/2.
-(y + 1)*(y + 7)*(7*y - 2)/4
Factor 5*z**4 - 265*z**3 + 255*z**2 + 265*z - 260.
5*(z - 52)*(z - 1)**2*(z + 1)
Factor -m**2/5 + 45*m + 2106/5.
-(m - 234)*(m + 9)/5
Determine s so that 2*s**4/5 + 68*s**3/5 - 72*s**2/5 - 68*s/5 + 14 = 0.
-35, -1, 1
Determine n so that -n**4/2 + 182*n**3 - 16743*n**2 + 32942*n - 32761/2 = 0.
1, 181
Factor 3*n**2 + 69*n - 234.
3*(n - 3)*(n + 26)
Factor -3*l**3 - 237*l**2 - 4797*l - 4563.
-3*(l + 1)*(l + 39)**2
Factor -2*x**2 - 5092*x - 5090.
-2*(x + 1)*(x + 2545)
Suppose 12*k**4 - 964*k**3 - 1648*k**2 + 656*k = 0. Calculate k.
-2, 0, 1/3, 82
Factor 10*v**3/3 + 62*v**2/3 + 100*v/3 + 16.
2*(v + 1)*(v + 4)*(5*v + 6)/3
Suppose -20*j**5 + 99*j**4/2 + 61*j**3/2 - 77*j**2 - 42*j - 4 = 0. Calculate j.
-1, -2/5, -1/8, 2
Determine k, given that -2*k**5/3 + 4*k**4/3 + 40*k**3/3 - 16*k**2/3 - 256*k/3 - 256/3 = 0.
-2, 4
Factor -4*g**2 + 304*g + 2688.
-4*(g - 84)*(g + 8)
Find a, given that 4*a**3/9 + 8*a**2/9 - 832*a/3 = 0.
-26, 0, 24
Find x, given that -3*x**3 - 1293*x**2 + 3*x + 1293 = 0.
-431, -1, 1
Factor -2*k**3/7 - 24*k**2/7 + 30*k/7 + 52/7.
-2*(k - 2)*(k + 1)*(k + 13)/7
Let 5*w**5 - 45*w**4 - 330*w**3 + 2170*w**2 + 8325*w - 10125 = 0. What is w?
-5, 1, 9
Factor 5*b**3 + 110*b**2 + 760*b + 1600.
5*(b + 4)*(b + 8)*(b + 10)
Determine l, given that 5*l**5/3 + 35*l**4/3 + 35*l**3/3 - 115*l**2/3 - 220*l/3 - 100/3 = 0.
-5, -2, -1, 2
Factor 4*u**2 - 172*u.
4*u*(u - 43)
What is w in -15*w**5/8 + 9*w**4/2 + 153*w**3/8 - 123*w**2/4 - 117*w/2 + 27 = 0?
-2, 2/5, 3
Factor -9*m**2 - 258*m + 2247.
-3*(m - 7)*(3*m + 107)
Suppose -2*n**4/5 + 4*n**3/5 + 14*n**2/5 - 8*n + 24/5 = 0. What is n?
-3, 1, 2
Factor 6*q**4/5 + 23616*q**3/5 + 34857216*q**2/5 + 22866333696*q/5 + 5625118089216/5.
6*(q + 984)**4/5
Suppose 4*u**2 + 324*u = 0. What is u?
-81, 0
Factor 4*j**5 + 1316*j**4 + 143872*j**3 + 5176160*j**2 - 5614400*j - 10648000.
4*(j - 2)*(j + 1)*(j + 110)**3
Factor 2*j**4 - 10*j**3 - 34*j**2 + 42*j.
2*j*(j - 7)*(j - 1)*(j + 3)
Factor -2*p**2/15 - 18*p/5 - 20/3.
-2*(p + 2)*(p + 25)/15
Find c such that -3*c**5 + 96*c**4 - 1047*c**3 + 4410*c**2 - 6048*c + 2592 = 0.
1, 6, 12
Factor 3*a**2 + 78*a - 81.
3*(a - 1)*(a + 27)
Factor -5*r**2 - 455*r + 930.
-5*(r - 2)*(r + 93)
Find b, given that -2*b**5 + 6*b**4 - 6*b**3 + 2*b**2 = 0.
0, 1
Factor -12*z**2 + 4*z + 16.
-4*(z + 1)*(3*z - 4)
Factor -5*n**2 - 3280*n - 537920.
-5*(n + 328)**2
Find o such that o**3/6 + 3*o**2 + 40*o/3 + 16 = 0.
-12, -4, -2
Find v, given that 2*v**3 - 42*v**2 = 0.
0, 21
Solve 22*v**5/7 + 12*v**4 + 6*v**3/7 - 136*v**2/7 + 24*v/7 = 0 for v.
-3, -2, 0, 2/11, 1
Factor 2*n**2 - 92*n + 90.
2*(n - 45)*(n - 1)
Factor 3*c**5/4 + 8*c**4 + 97*c**3/4 + 3*c**2 - 52*c + 16.
(c - 1)*(c + 4)**3*(3*c - 1)/4
Factor 5*o**3 - 155*o**2 + 650*o.
5*o*(o - 26)*(o - 5)
Suppose 2*p**3 - 36*p**2 + 216*p - 432 = 0. What is p?
6
Let u**4 + 5*u**3 - 48*u**2 + 28*u + 80 = 0. Calculate u.
-10, -1, 2, 4
Find d, given that -3*d**5 - 18*d**4 + 3*d**3 + 18*d**2 = 0.
-6, -1, 0, 1
Factor -95481*o**2/5 + 1236*o/5 - 4/5.
-(309*o - 2)**2/5
Solve 2*w**2/9 + 3400*w/9 + 1445000/9 = 0.
-850
Suppose 6*w**4 - 82*w**3 + 124*w**2 - 48*w = 0. Calculate w.
0, 2/3, 1, 12
Solve -72*z**3 + 186*z**2 + 2823*z + 465 = 0 for z.
-5, -1/6, 31/4
Factor 2*f**3/11 + 4*f**2 + 38*f/11 - 84/11.
2*(f - 1)*(f + 2)*(f + 21)/11
Factor 80*p**4 + 760*p**3 + 1605*p**2 - 950*p + 125.
5*(p + 5)**2*(4*p - 1)**2
Factor v**2/2 + 1659*v - 3319/2.
(v - 1)*(v + 3319)/2
Solve -3*d**2 + 966*d - 77763 = 0.
161
Suppose -2116*y**2 + 1840*y - 400 = 0. Calculate y.
10/23
Find a such that -2*a**5/5 - 28*a**4/5 + 68*a**3 - 56*a**2 - 338*a/5 + 308/5 = 0.
-22, -1, 1, 7
Suppose 3*m**2 - 105*m + 288 = 0. What is m?
3, 32
What is a in -a**4/2 + 9*a**3/2 - 9*a**2/2 - 85*a/2 + 75 = 0?
-3, 2, 5
What is u in u**2/5 + 183*u/5 - 184/5 = 0?
-184, 1
Factor 123*u**2/7 + 1851*u/7 + 90/7.
3*(u + 15)*(41*u + 2)/7
Factor -a**2 + 27*a + 28.
-(a - 28)*(a + 1)
Factor -2*k**3/17 + 14*k**2/17 - 28*k/17 + 16/17.
-2*(k - 4)*(k - 2)*(k - 1)/17
Determine w so that -2*w**3/3 - 10*w**2/3 + 4*w = 0.
-6, 0, 1
Factor 5*i**2 - 2220*i + 246420.
5*(i - 222)**2
What is k in -217*k**5/6 - 458*k**4/3 + 1331*k**3/6 + 1261*k**2/3 + 226*k/3 - 20/3 = 0?
-5, -1, -2/7, 2/31, 2
Find u such that -5*u**4 + 5*u**3 + 15*u**2 - 5*u - 10 = 0.
-1, 1, 2
Factor -28*z**3 - 1132*z**2 + 656*z.
-4*z*(z + 41)*(7*z - 4)
Factor 3*d**2 - 18*d + 27.
3*(d - 3)**2
Suppose 4*o**2 - 4*o = 0. Calculate o.
0, 1
Factor j**3 + 78*j**2 + 441*j + 648.
(j + 3)**2*(j + 72)
Factor 3*c**2/2 + 1365*c/2.
3*c*(c + 455)/2
Find l such that -l**4 - 9*l**3 - 14*l**2 = 0.
-7, -2, 0
Suppose -o**5/3 + 5*o**3 - 10*o**2/3 - 20*o + 24 = 0. Calculate o.
-3, 2
Determine a so that -27*a**4 - 114*a**3 + 165*a**2 + 312*a + 60 = 0.
-5, -1, -2/9, 2
Suppose -2*h**3/7 + 44*h**2/7 = 0. What is h?
0, 22
Factor 2*c**5/11 - 8*c**4/11 + 32*c**2/11 - 32*c/11.
2*c*(c - 2)**3*(c + 2)/11
What is j in 3*j**3/2 - 60*j**2 = 0?
0, 40
Let f**4/6 + f**3/6 - f**2/6 - f/6 = 0. Calculate f.
-1, 0, 1
Factor y**3 - 100*y**2 - 9*y + 900.
(y - 100)*(y - 3)*(y + 3)
Su